From 28912913138c033238f705a2a412891477e204d8 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 08:57:46 +0900 Subject: [PATCH 001/159] Update _config.yml --- _config.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_config.yml b/_config.yml index ae0f84951b09..b861d830815c 100644 --- a/_config.yml +++ b/_config.yml @@ -22,7 +22,7 @@ title_separator : "-" subtitle : # site tagline that appears below site title in masthead name : "Your Name" description : "An amazing website." -url : # the base hostname & protocol for your site e.g. "https://mmistakes.github.io" +url : "https://kiseonghwang.github.io" baseurl : # the subpath of your site, e.g. "/blog" repository : # GitHub username/repo-name e.g. "mmistakes/minimal-mistakes" teaser : # path of fallback teaser image, e.g. "/assets/images/500x300.png" From 7bede52f9cbe223ed09af6f390e125d78778a3aa Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 09:03:30 +0900 Subject: [PATCH 002/159] Create 2025-12-29-first.md --- _posts/2025-12-29-first.md | 6 ++++++ 1 file changed, 6 insertions(+) create mode 100644 _posts/2025-12-29-first.md diff --git a/_posts/2025-12-29-first.md b/_posts/2025-12-29-first.md new file mode 100644 index 000000000000..473e8abff225 --- /dev/null +++ b/_posts/2025-12-29-first.md @@ -0,0 +1,6 @@ +--- +layout: single +title: "첫 포스팅 입니다." +--- + +# 오늘 처음 블로그를 써보았어요. From b1ee5a4652e096c5e7839751120970e72794ff9e Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 09:07:41 +0900 Subject: [PATCH 003/159] Update 2025-12-29-first.md --- _posts/2025-12-29-first.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/_posts/2025-12-29-first.md b/_posts/2025-12-29-first.md index 473e8abff225..ca80f3a5b361 100644 --- a/_posts/2025-12-29-first.md +++ b/_posts/2025-12-29-first.md @@ -1,6 +1,6 @@ --- layout: single -title: "첫 포스팅 입니다." +title: "AI를 위한 수학 블로그 입니다." --- -# 오늘 처음 블로그를 써보았어요. +## 앞으로 약 1년간은 집합 + 선형대수 관련 내용을 작성하겠습니다. From 8c0f53089bd2273b99cda5b0ba104f1b0b103953 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 10:18:26 +0900 Subject: [PATCH 004/159] Update _config.yml --- _config.yml | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/_config.yml b/_config.yml index b861d830815c..01124716d4ac 100644 --- a/_config.yml +++ b/_config.yml @@ -17,7 +17,7 @@ minimal_mistakes_skin : "default" # "air", "aqua", "contrast", "dark", "dirt" # Site Settings locale : "en-US" rtl : # true, false (default) # turns direction of the page into right to left for RTL languages -title : "Site Title" +title : "This site is a math for AI" title_separator : "-" subtitle : # site tagline that appears below site title in masthead name : "Your Name" @@ -113,11 +113,11 @@ analytics: # Site Author author: - name : "Your Name" + name : "Kiseong Hwang" avatar : # path of avatar image, e.g. "/assets/images/bio-photo.jpg" - bio : "I am an **amazing** person." - location : "Somewhere" - email : + bio : "I am learning for AI and MLOps" + location : "KOREA" + email : "ks.hwang.0313@gmail.com" links: - label: "Email" icon: "fas fa-fw fa-envelope-square" From de8f43a4b5919c6822b64c5e9b13fcc11fa22c35 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 10:31:45 +0900 Subject: [PATCH 005/159] Update _config.yml --- _config.yml | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/_config.yml b/_config.yml index 01124716d4ac..9abce0492a65 100644 --- a/_config.yml +++ b/_config.yml @@ -12,7 +12,7 @@ # theme : "minimal-mistakes-jekyll" # remote_theme : "mmistakes/minimal-mistakes" -minimal_mistakes_skin : "default" # "air", "aqua", "contrast", "dark", "dirt", "neon", "mint", "plum", "sunrise" +minimal_mistakes_skin : "dark" # "default" # "air", "aqua", "contrast", "dark", "dirt", "neon", "mint", "plum", "sunrise" # Site Settings locale : "en-US" @@ -133,7 +133,7 @@ author: # url: "https://facebook.com/" - label: "GitHub" icon: "fab fa-fw fa-github" - # url: "https://github.com/" + url: "https://github.com/kiseonghwang" - label: "Instagram" icon: "fab fa-fw fa-instagram" # url: "https://instagram.com/" From 46e5a541e09c0d7b08ac3d0a9e2b789e245e16e5 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 10:35:13 +0900 Subject: [PATCH 006/159] Update _config.yml --- _config.yml | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/_config.yml b/_config.yml index 9abce0492a65..169124ce5fb6 100644 --- a/_config.yml +++ b/_config.yml @@ -118,6 +118,7 @@ author: bio : "I am learning for AI and MLOps" location : "KOREA" email : "ks.hwang.0313@gmail.com" + github : "https://github.com/kiseonghwang" links: - label: "Email" icon: "fas fa-fw fa-envelope-square" @@ -133,7 +134,7 @@ author: # url: "https://facebook.com/" - label: "GitHub" icon: "fab fa-fw fa-github" - url: "https://github.com/kiseonghwang" + # url: "https://github.com/kiseonghwang" - label: "Instagram" icon: "fab fa-fw fa-instagram" # url: "https://instagram.com/" From 892d7e73e0ce64844547dc78a67f0e88efe496dc Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 10:38:27 +0900 Subject: [PATCH 007/159] Update _config.yml --- _config.yml | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/_config.yml b/_config.yml index 169124ce5fb6..6feb67600cef 100644 --- a/_config.yml +++ b/_config.yml @@ -116,9 +116,11 @@ author: name : "Kiseong Hwang" avatar : # path of avatar image, e.g. "/assets/images/bio-photo.jpg" bio : "I am learning for AI and MLOps" - location : "KOREA" + location : "South Korea" email : "ks.hwang.0313@gmail.com" github : "https://github.com/kiseonghwang" + website : "https://www.notion.so/6d829d5c8faf45ea9a9c3344a5d1e1fc?source=copy_link" + notion : "https://www.notion.so/6d829d5c8faf45ea9a9c3344a5d1e1fc?source=copy_link" links: - label: "Email" icon: "fas fa-fw fa-envelope-square" From e007d51fc2302ad269fa9d2f8206398686f2db9c Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 10:40:31 +0900 Subject: [PATCH 008/159] Update _config.yml --- _config.yml | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/_config.yml b/_config.yml index 6feb67600cef..e8bbe7f789a6 100644 --- a/_config.yml +++ b/_config.yml @@ -127,7 +127,7 @@ author: # url: "mailto:your.name@email.com" - label: "Website" icon: "fas fa-fw fa-link" - # url: "https://your-website.com" + url: "https://www.notion.so/6d829d5c8faf45ea9a9c3344a5d1e1fc?source=copy_link" - label: "Twitter" icon: "fab fa-fw fa-twitter-square" # url: "https://twitter.com/" @@ -136,7 +136,7 @@ author: # url: "https://facebook.com/" - label: "GitHub" icon: "fab fa-fw fa-github" - # url: "https://github.com/kiseonghwang" + url: "https://github.com/kiseonghwang" - label: "Instagram" icon: "fab fa-fw fa-instagram" # url: "https://instagram.com/" From 379fc0d7debc3ccb5a078bb811aaf4a1d5ec999e Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 10:42:06 +0900 Subject: [PATCH 009/159] Update _config.yml --- _config.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_config.yml b/_config.yml index e8bbe7f789a6..1a1fefbec2fb 100644 --- a/_config.yml +++ b/_config.yml @@ -118,7 +118,7 @@ author: bio : "I am learning for AI and MLOps" location : "South Korea" email : "ks.hwang.0313@gmail.com" - github : "https://github.com/kiseonghwang" + # github : "https://github.com/kiseonghwang" website : "https://www.notion.so/6d829d5c8faf45ea9a9c3344a5d1e1fc?source=copy_link" notion : "https://www.notion.so/6d829d5c8faf45ea9a9c3344a5d1e1fc?source=copy_link" links: From d3444e3a78399ebf24827987b03d6ef21b5522c0 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 10:48:02 +0900 Subject: [PATCH 010/159] Update _config.yml --- _config.yml | 45 +++++++++++++++++++++------------------------ 1 file changed, 21 insertions(+), 24 deletions(-) diff --git a/_config.yml b/_config.yml index 1a1fefbec2fb..f591d94c5d65 100644 --- a/_config.yml +++ b/_config.yml @@ -118,9 +118,6 @@ author: bio : "I am learning for AI and MLOps" location : "South Korea" email : "ks.hwang.0313@gmail.com" - # github : "https://github.com/kiseonghwang" - website : "https://www.notion.so/6d829d5c8faf45ea9a9c3344a5d1e1fc?source=copy_link" - notion : "https://www.notion.so/6d829d5c8faf45ea9a9c3344a5d1e1fc?source=copy_link" links: - label: "Email" icon: "fas fa-fw fa-envelope-square" @@ -142,27 +139,27 @@ author: # url: "https://instagram.com/" # Site Footer -footer: - links: - - label: "Twitter" - icon: "fab fa-fw fa-twitter-square" - # url: - - label: "Facebook" - icon: "fab fa-fw fa-facebook-square" - # url: - - label: "GitHub" - icon: "fab fa-fw fa-github" - # url: - - label: "GitLab" - icon: "fab fa-fw fa-gitlab" - # url: - - label: "Bitbucket" - icon: "fab fa-fw fa-bitbucket" - # url: - - label: "Instagram" - icon: "fab fa-fw fa-instagram" - # url: - since: "2013" +# footer: +# links: +# - label: "Twitter" +# icon: "fab fa-fw fa-twitter-square" +# # url: +# - label: "Facebook" +# icon: "fab fa-fw fa-facebook-square" +# # url: +# - label: "GitHub" +# icon: "fab fa-fw fa-github" +# # url: +# - label: "GitLab" +# icon: "fab fa-fw fa-gitlab" +# # url: +# - label: "Bitbucket" +# icon: "fab fa-fw fa-bitbucket" +# # url: +# - label: "Instagram" +# icon: "fab fa-fw fa-instagram" +# # url: +# since: "2013" # Reading Files From 8e0f7d2d5b00eb2ca64b0d7be42016e40d8fe8b6 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 10:52:20 +0900 Subject: [PATCH 011/159] Update _config.yml --- _config.yml | 44 ++++++++++++++++++++++---------------------- 1 file changed, 22 insertions(+), 22 deletions(-) diff --git a/_config.yml b/_config.yml index f591d94c5d65..d015575843d4 100644 --- a/_config.yml +++ b/_config.yml @@ -124,7 +124,7 @@ author: # url: "mailto:your.name@email.com" - label: "Website" icon: "fas fa-fw fa-link" - url: "https://www.notion.so/6d829d5c8faf45ea9a9c3344a5d1e1fc?source=copy_link" + # url: "https://www.notion.so/6d829d5c8faf45ea9a9c3344a5d1e1fc?source=copy_link" - label: "Twitter" icon: "fab fa-fw fa-twitter-square" # url: "https://twitter.com/" @@ -139,27 +139,27 @@ author: # url: "https://instagram.com/" # Site Footer -# footer: -# links: -# - label: "Twitter" -# icon: "fab fa-fw fa-twitter-square" -# # url: -# - label: "Facebook" -# icon: "fab fa-fw fa-facebook-square" -# # url: -# - label: "GitHub" -# icon: "fab fa-fw fa-github" -# # url: -# - label: "GitLab" -# icon: "fab fa-fw fa-gitlab" -# # url: -# - label: "Bitbucket" -# icon: "fab fa-fw fa-bitbucket" -# # url: -# - label: "Instagram" -# icon: "fab fa-fw fa-instagram" -# # url: -# since: "2013" +footer: + links: + - label: "Twitter" + icon: "fab fa-fw fa-twitter-square" + # url: + - label: "Facebook" + icon: "fab fa-fw fa-facebook-square" + # url: + - label: "GitHub" + icon: "fab fa-fw fa-github" + # url: + - label: "GitLab" + icon: "fab fa-fw fa-gitlab" + # url: + - label: "Bitbucket" + icon: "fab fa-fw fa-bitbucket" + # url: + - label: "Instagram" + icon: "fab fa-fw fa-instagram" + # url: + since: "2013" # Reading Files From 40065de79b56187fcf941cc989c64526475181b7 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 10:59:05 +0900 Subject: [PATCH 012/159] Update _config.yml --- _config.yml | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/_config.yml b/_config.yml index d015575843d4..7920f84e90f4 100644 --- a/_config.yml +++ b/_config.yml @@ -12,7 +12,7 @@ # theme : "minimal-mistakes-jekyll" # remote_theme : "mmistakes/minimal-mistakes" -minimal_mistakes_skin : "dark" # "default" # "air", "aqua", "contrast", "dark", "dirt", "neon", "mint", "plum", "sunrise" +minimal_mistakes_skin : "default" # "air", "aqua", "contrast", "dark", "dirt", "neon", "mint", "plum", "sunrise" # Site Settings locale : "en-US" @@ -116,7 +116,7 @@ author: name : "Kiseong Hwang" avatar : # path of avatar image, e.g. "/assets/images/bio-photo.jpg" bio : "I am learning for AI and MLOps" - location : "South Korea" + location : "Korea" email : "ks.hwang.0313@gmail.com" links: - label: "Email" @@ -124,7 +124,7 @@ author: # url: "mailto:your.name@email.com" - label: "Website" icon: "fas fa-fw fa-link" - # url: "https://www.notion.so/6d829d5c8faf45ea9a9c3344a5d1e1fc?source=copy_link" + # url: "https://your-website.com" - label: "Twitter" icon: "fab fa-fw fa-twitter-square" # url: "https://twitter.com/" @@ -133,7 +133,7 @@ author: # url: "https://facebook.com/" - label: "GitHub" icon: "fab fa-fw fa-github" - url: "https://github.com/kiseonghwang" + # url: "https://github.com/" - label: "Instagram" icon: "fab fa-fw fa-instagram" # url: "https://instagram.com/" From 9d9bfec72563440994cf8ece26ae1faaddfb4b88 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 11:02:18 +0900 Subject: [PATCH 013/159] Update _config.yml --- _config.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_config.yml b/_config.yml index 7920f84e90f4..e51f9e5ed9e2 100644 --- a/_config.yml +++ b/_config.yml @@ -12,7 +12,7 @@ # theme : "minimal-mistakes-jekyll" # remote_theme : "mmistakes/minimal-mistakes" -minimal_mistakes_skin : "default" # "air", "aqua", "contrast", "dark", "dirt", "neon", "mint", "plum", "sunrise" +minimal_mistakes_skin : "dark" # "default" # "air", "aqua", "contrast", "dark", "dirt", "neon", "mint", "plum", "sunrise" # Site Settings locale : "en-US" From f2b9a5f20ce65de37d15c80ccbc9490211ffb4d5 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 11:10:23 +0900 Subject: [PATCH 014/159] Update _config.yml --- _config.yml | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/_config.yml b/_config.yml index e51f9e5ed9e2..496cddfa56fa 100644 --- a/_config.yml +++ b/_config.yml @@ -15,13 +15,13 @@ minimal_mistakes_skin : "dark" # "default" # "air", "aqua", "contrast", "dark", "dirt", "neon", "mint", "plum", "sunrise" # Site Settings -locale : "en-US" +locale : "ko-KR" # en_US rtl : # true, false (default) # turns direction of the page into right to left for RTL languages -title : "This site is a math for AI" -title_separator : "-" -subtitle : # site tagline that appears below site title in masthead -name : "Your Name" -description : "An amazing website." +title : "My learning for AI" +title_separator : "|" +subtitle : "site tagline that appears below site title in masthead" +name : "Kiseong Hwnag" +description : "My blog." url : "https://kiseonghwang.github.io" baseurl : # the subpath of your site, e.g. "/blog" repository : # GitHub username/repo-name e.g. "mmistakes/minimal-mistakes" From 126a6da370711805c5b36f623cd7f847a9939bc0 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 11:18:54 +0900 Subject: [PATCH 015/159] Create test --- assets/images/test | 1 + 1 file changed, 1 insertion(+) create mode 100644 assets/images/test diff --git a/assets/images/test b/assets/images/test new file mode 100644 index 000000000000..8b137891791f --- /dev/null +++ b/assets/images/test @@ -0,0 +1 @@ + From b314647acaa0857bd9bc6da57e1feeea7b262ca9 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 11:23:51 +0900 Subject: [PATCH 016/159] Add files via upload --- assets/images/gallop-8778396_640-2.png | 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zpBOhSP`!M_f%Jvc51#c+;2f6JGwNa_YUKrK!km@LoAn&TK+kz;q^`+wr0WMI#H~gc zDYviHWJi+&`VCzQd7X&S)5_j>=;?rhpJhou61t9Dr)v>~nGwFsZ%JsXsP+q;u?N!j z{;~|VNSBJvUvC3s%ZJxhU-`C8OZ?qqHteNgM^n~DS$b0Zm0EPko05ELU(JImr5heT*%n3PQ^S#= zW)B>!3=#`l@9ejzFzH)xK(vlrquA9tQQLY&-ZJV^Gn314qVMpN?ND##wY4MDLX*ch zOV_`8A7{GZK2khKCP(5t-@JC(xt+KQ-s((kx%u6nB2l(4Ru0Q*v^ELnU2)s=mJV@_Kd#bLXWjM?dGiDRzQa`+Q{kY0>bwLzvD# zwwM0Eb8NB-5n0{xjX2w0X)nYl-Xh7WXl6+l2SbWZGn3QO5)M~~As8a<;68gQ&3b&3 z;jrz?uqt+a?H}=v&`KYee{!~jhgFfb3rx+6xx0zbqPg{aMjI$6_{+)30e5Hq1M-@h Ai~s-t literal 0 HcmV?d00001 From 24cc94e94875758b353b0bb6108b0d40bbeacefb Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 11:24:49 +0900 Subject: [PATCH 017/159] Update _config.yml --- _config.yml | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/_config.yml b/_config.yml index 496cddfa56fa..b78ddf9b5917 100644 --- a/_config.yml +++ b/_config.yml @@ -15,18 +15,18 @@ minimal_mistakes_skin : "dark" # "default" # "air", "aqua", "contrast", "dark", "dirt", "neon", "mint", "plum", "sunrise" # Site Settings -locale : "ko-KR" # en_US +locale : "en_US" # en_US ko-KR rtl : # true, false (default) # turns direction of the page into right to left for RTL languages title : "My learning for AI" title_separator : "|" -subtitle : "site tagline that appears below site title in masthead" +subtitle : "This site is a place to share knowledge." name : "Kiseong Hwnag" description : "My blog." url : "https://kiseonghwang.github.io" baseurl : # the subpath of your site, e.g. "/blog" repository : # GitHub username/repo-name e.g. "mmistakes/minimal-mistakes" teaser : # path of fallback teaser image, e.g. "/assets/images/500x300.png" -logo : # path of logo image to display in the masthead, e.g. "/assets/images/88x88.png" +logo : "assets/images/gallop-8778396_640-2.png" masthead_title : # overrides the website title displayed in the masthead, use " " for no title breadcrumbs : # true, false (default) words_per_minute : 200 @@ -116,7 +116,7 @@ author: name : "Kiseong Hwang" avatar : # path of avatar image, e.g. "/assets/images/bio-photo.jpg" bio : "I am learning for AI and MLOps" - location : "Korea" + location : "south Korea" email : "ks.hwang.0313@gmail.com" links: - label: "Email" From ad107e561d6ec5ab667651509c7a1b86a5ab45e6 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 11:30:24 +0900 Subject: [PATCH 018/159] Update _config.yml --- _config.yml | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/_config.yml b/_config.yml index b78ddf9b5917..202387a04f42 100644 --- a/_config.yml +++ b/_config.yml @@ -28,7 +28,7 @@ repository : # GitHub username/repo-name e.g. "mmistakes/minimal-m teaser : # path of fallback teaser image, e.g. "/assets/images/500x300.png" logo : "assets/images/gallop-8778396_640-2.png" masthead_title : # overrides the website title displayed in the masthead, use " " for no title -breadcrumbs : # true, false (default) +breadcrumbs : "true" # true, false (default) words_per_minute : 200 enable_copy_code_button : # true, false (default) copyright : # "copyright" name, defaults to site.title @@ -325,3 +325,4 @@ defaults: comments: # true share: true related: true + show_date: true From 573c636e9abb18185f0bc155389bbcd83bb510dc Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 11:43:42 +0900 Subject: [PATCH 019/159] Update _config.yml --- _config.yml | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/_config.yml b/_config.yml index 202387a04f42..9e8292e95fc8 100644 --- a/_config.yml +++ b/_config.yml @@ -34,9 +34,9 @@ enable_copy_code_button : # true, false (default) copyright : # "copyright" name, defaults to site.title copyright_url : # "copyright" URL, defaults to site.url comments: - provider : # false (default), "disqus", "discourse", "facebook", "staticman", "staticman_v2", "utterances", "giscus", "custom" + provider : "disqus" # false (default), "disqus", "discourse", "facebook", "staticman", "staticman_v2", "utterances", "giscus", "custom" disqus: - shortname : # https://help.disqus.com/customer/portal/articles/466208-what-s-a-shortname- + shortname : "kiseong" discourse: server : # https://meta.discourse.org/t/embedding-discourse-comments-via-javascript/31963 , e.g.: meta.discourse.org facebook: @@ -322,7 +322,7 @@ defaults: layout: single author_profile: true read_time: true - comments: # true + comments: true share: true related: true show_date: true From 7c5d59a4e11f03a71e261b92993c11d40148d790 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 11:47:32 +0900 Subject: [PATCH 020/159] Create 2026-12-12-dd --- _posts/2026-12-12-dd | 6 ++++++ 1 file changed, 6 insertions(+) create mode 100644 _posts/2026-12-12-dd diff --git a/_posts/2026-12-12-dd b/_posts/2026-12-12-dd new file mode 100644 index 000000000000..e5a3665bea89 --- /dev/null +++ b/_posts/2026-12-12-dd @@ -0,0 +1,6 @@ +--- +layout: single +title: "AI를 위한 수학 블로그 입니다." +--- + +ddkd From c2fd2779254b6324b414e9060adf1b51b78f53d8 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 11:47:48 +0900 Subject: [PATCH 021/159] Rename 2026-12-12-dd to 2026-12-12-dd.md --- _posts/{2026-12-12-dd => 2026-12-12-dd.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename _posts/{2026-12-12-dd => 2026-12-12-dd.md} (100%) diff --git a/_posts/2026-12-12-dd b/_posts/2026-12-12-dd.md similarity index 100% rename from _posts/2026-12-12-dd rename to _posts/2026-12-12-dd.md From 9882316fe3e7ab202b3e2c12191c6640b067ce5d Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 11:50:37 +0900 Subject: [PATCH 022/159] Delete _posts/2026-12-12-dd.md --- _posts/2026-12-12-dd.md | 6 ------ 1 file changed, 6 deletions(-) delete mode 100644 _posts/2026-12-12-dd.md diff --git a/_posts/2026-12-12-dd.md b/_posts/2026-12-12-dd.md deleted file mode 100644 index e5a3665bea89..000000000000 --- a/_posts/2026-12-12-dd.md +++ /dev/null @@ -1,6 +0,0 @@ ---- -layout: single -title: "AI를 위한 수학 블로그 입니다." ---- - -ddkd From 51293f3973657370e81dd00f7b15a589dd5d58a5 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 11:51:18 +0900 Subject: [PATCH 023/159] Create 2025-12-29-deda.md --- _posts/2025-12-29-deda.md | 6 ++++++ 1 file changed, 6 insertions(+) create mode 100644 _posts/2025-12-29-deda.md diff --git a/_posts/2025-12-29-deda.md b/_posts/2025-12-29-deda.md new file mode 100644 index 000000000000..91d1ea1c4c2b --- /dev/null +++ b/_posts/2025-12-29-deda.md @@ -0,0 +1,6 @@ +--- +layout: single +title: "AI를 위한 수학 블로그 입니다." +--- + +## 아녕 From 03c2a27e9c3445d8fab4880b4a0a2ece43325d6c Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 11:54:55 +0900 Subject: [PATCH 024/159] Delete _posts/2025-12-29-first.md --- _posts/2025-12-29-first.md | 6 ------ 1 file changed, 6 deletions(-) delete mode 100644 _posts/2025-12-29-first.md diff --git a/_posts/2025-12-29-first.md b/_posts/2025-12-29-first.md deleted file mode 100644 index ca80f3a5b361..000000000000 --- a/_posts/2025-12-29-first.md +++ /dev/null @@ -1,6 +0,0 @@ ---- -layout: single -title: "AI를 위한 수학 블로그 입니다." ---- - -## 앞으로 약 1년간은 집합 + 선형대수 관련 내용을 작성하겠습니다. From b4a1369813459106bad7b378aa0d95271675e609 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 11:55:15 +0900 Subject: [PATCH 025/159] Update and rename 2025-12-29-deda.md to 2025-12-29-first.md --- _posts/2025-12-29-deda.md | 6 ------ _posts/2025-12-29-first.md | 6 ++++++ 2 files changed, 6 insertions(+), 6 deletions(-) delete mode 100644 _posts/2025-12-29-deda.md create mode 100644 _posts/2025-12-29-first.md diff --git a/_posts/2025-12-29-deda.md b/_posts/2025-12-29-deda.md deleted file mode 100644 index 91d1ea1c4c2b..000000000000 --- a/_posts/2025-12-29-deda.md +++ /dev/null @@ -1,6 +0,0 @@ ---- -layout: single -title: "AI를 위한 수학 블로그 입니다." ---- - -## 아녕 diff --git a/_posts/2025-12-29-first.md b/_posts/2025-12-29-first.md new file mode 100644 index 000000000000..ca80f3a5b361 --- /dev/null +++ b/_posts/2025-12-29-first.md @@ -0,0 +1,6 @@ +--- +layout: single +title: "AI를 위한 수학 블로그 입니다." +--- + +## 앞으로 약 1년간은 집합 + 선형대수 관련 내용을 작성하겠습니다. From 12dded3ffa123f2679c7d8d3204998a422a7581a Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:10:02 +0900 Subject: [PATCH 026/159] Update _config.yml --- _config.yml | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/_config.yml b/_config.yml index 9e8292e95fc8..5bb4155c637f 100644 --- a/_config.yml +++ b/_config.yml @@ -34,9 +34,9 @@ enable_copy_code_button : # true, false (default) copyright : # "copyright" name, defaults to site.title copyright_url : # "copyright" URL, defaults to site.url comments: - provider : "disqus" # false (default), "disqus", "discourse", "facebook", "staticman", "staticman_v2", "utterances", "giscus", "custom" + provider : # false (default), "disqus", "discourse", "facebook", "staticman", "staticman_v2", "utterances", "giscus", "custom" disqus: - shortname : "kiseong" + shortname : # https://help.disqus.com/customer/portal/articles/466208-what-s-a-shortname- discourse: server : # https://meta.discourse.org/t/embedding-discourse-comments-via-javascript/31963 , e.g.: meta.discourse.org facebook: @@ -105,10 +105,10 @@ social: # Analytics analytics: - provider : # false (default), "google", "google-universal", "google-gtag", "custom" + provider : "google-gtag" # false (default), "google", "google-universal", "google-gtag", "custom" google: - tracking_id : - anonymize_ip : # true, false (default) + tracking_id : "G-HKFBG17BHR" + anonymize_ip : "false" # true, false (default) # Site Author @@ -322,7 +322,7 @@ defaults: layout: single author_profile: true read_time: true - comments: true + comments: # true share: true related: true show_date: true From bf71c53e4f98e1385443636fe0850985f8086d1e Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:18:05 +0900 Subject: [PATCH 027/159] Update _config.yml --- _config.yml | 54 ++++++++++++++++++++++++++--------------------------- 1 file changed, 27 insertions(+), 27 deletions(-) diff --git a/_config.yml b/_config.yml index 5bb4155c637f..b7203dd67955 100644 --- a/_config.yml +++ b/_config.yml @@ -121,44 +121,44 @@ author: links: - label: "Email" icon: "fas fa-fw fa-envelope-square" - # url: "mailto:your.name@email.com" + url: "mailto:ks.hwang.0313@gmail.com" - label: "Website" icon: "fas fa-fw fa-link" - # url: "https://your-website.com" - - label: "Twitter" - icon: "fab fa-fw fa-twitter-square" - # url: "https://twitter.com/" - - label: "Facebook" - icon: "fab fa-fw fa-facebook-square" - # url: "https://facebook.com/" + url: "https://www.notion.so/6d829d5c8faf45ea9a9c3344a5d1e1fc?source=copy_link" + # - label: "Twitter" + # icon: "fab fa-fw fa-twitter-square" + # # url: "https://twitter.com/" + # - label: "Facebook" + # icon: "fab fa-fw fa-facebook-square" + # # url: "https://facebook.com/" - label: "GitHub" icon: "fab fa-fw fa-github" - # url: "https://github.com/" - - label: "Instagram" - icon: "fab fa-fw fa-instagram" + url: "https://github.com/kiseonghwang" + # - label: "Instagram" + # icon: "fab fa-fw fa-instagram" # url: "https://instagram.com/" # Site Footer footer: links: - - label: "Twitter" - icon: "fab fa-fw fa-twitter-square" - # url: - - label: "Facebook" - icon: "fab fa-fw fa-facebook-square" - # url: + # - label: "Twitter" + # icon: "fab fa-fw fa-twitter-square" + # # url: + # - label: "Facebook" + # icon: "fab fa-fw fa-facebook-square" + # # url: - label: "GitHub" icon: "fab fa-fw fa-github" - # url: - - label: "GitLab" - icon: "fab fa-fw fa-gitlab" - # url: - - label: "Bitbucket" - icon: "fab fa-fw fa-bitbucket" - # url: - - label: "Instagram" - icon: "fab fa-fw fa-instagram" - # url: + url: "https://github.com/kiseonghwang" + # - label: "GitLab" + # icon: "fab fa-fw fa-gitlab" + # # url: + # - label: "Bitbucket" + # icon: "fab fa-fw fa-bitbucket" + # # url: + # - label: "Instagram" + # icon: "fab fa-fw fa-instagram" + # # url: since: "2013" From c0aa870183d14ccc23e7f52d9181fb4f78e51e79 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:21:29 +0900 Subject: [PATCH 028/159] Update _config.yml --- _config.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_config.yml b/_config.yml index b7203dd67955..b1148dc42a59 100644 --- a/_config.yml +++ b/_config.yml @@ -229,7 +229,7 @@ sass: # Outputting permalink: /:categories/:title/ -timezone: # https://en.wikipedia.org/wiki/List_of_tz_database_time_zones +timezone: Asian/seoul # Pagination with jekyll-paginate From 253d7222758dd44e66a75daa5dc3fefebd9f9470 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:25:00 +0900 Subject: [PATCH 029/159] Update _config.yml --- _config.yml | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/_config.yml b/_config.yml index b1148dc42a59..fb8d3bcf9383 100644 --- a/_config.yml +++ b/_config.yml @@ -34,9 +34,9 @@ enable_copy_code_button : # true, false (default) copyright : # "copyright" name, defaults to site.title copyright_url : # "copyright" URL, defaults to site.url comments: - provider : # false (default), "disqus", "discourse", "facebook", "staticman", "staticman_v2", "utterances", "giscus", "custom" + provider : "disqus" # false (default), "disqus", "discourse", "facebook", "staticman", "staticman_v2", "utterances", "giscus", "custom" disqus: - shortname : # https://help.disqus.com/customer/portal/articles/466208-what-s-a-shortname- + shortname : "kiseong" discourse: server : # https://meta.discourse.org/t/embedding-discourse-comments-via-javascript/31963 , e.g.: meta.discourse.org facebook: @@ -322,7 +322,7 @@ defaults: layout: single author_profile: true read_time: true - comments: # true + comments: true share: true related: true show_date: true From 623d91d002bee243007b693347021a1ee61792aa Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:33:12 +0900 Subject: [PATCH 030/159] Create test --- _pages/test | 1 + 1 file changed, 1 insertion(+) create mode 100644 _pages/test diff --git a/_pages/test b/_pages/test new file mode 100644 index 000000000000..8b137891791f --- /dev/null +++ b/_pages/test @@ -0,0 +1 @@ + From 33ecbe9676ae1187c8a7f0a3df6180324c1cfa99 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:33:55 +0900 Subject: [PATCH 031/159] Rename test to category-archive.md --- _pages/{test => category-archive.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename _pages/{test => category-archive.md} (100%) diff --git a/_pages/test b/_pages/category-archive.md similarity index 100% rename from _pages/test rename to _pages/category-archive.md From 43a6452d8f90492481805ace190751485503b6ee Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:34:09 +0900 Subject: [PATCH 032/159] Update _config.yml --- _config.yml | 20 ++++++++++---------- 1 file changed, 10 insertions(+), 10 deletions(-) diff --git a/_config.yml b/_config.yml index fb8d3bcf9383..425fed09be9c 100644 --- a/_config.yml +++ b/_config.yml @@ -292,16 +292,16 @@ tag_archive: type: liquid path: /tags/ # https://github.com/jekyll/jekyll-archives -# jekyll-archives: -# enabled: -# - categories -# - tags -# layouts: -# category: archive-taxonomy -# tag: archive-taxonomy -# permalinks: -# category: /categories/:name/ -# tag: /tags/:name/ +jekyll-archives: + enabled: + - categories + - tags + layouts: + category: archive-taxonomy + tag: archive-taxonomy + permalinks: + category: /categories/:name/ + tag: /tags/:name/ # HTML Compression From 9728a4e35e32a79dfdbfb49ea2c3134ae533ba01 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:35:35 +0900 Subject: [PATCH 033/159] Update category-archive.md --- _pages/category-archive.md | 8 +++++++- 1 file changed, 7 insertions(+), 1 deletion(-) diff --git a/_pages/category-archive.md b/_pages/category-archive.md index 8b137891791f..92908efe3ed7 100644 --- a/_pages/category-archive.md +++ b/_pages/category-archive.md @@ -1 +1,7 @@ - +--- +title: "category" +layout: categories +permalink: /categories/ +author_profile: true +sidebar_main: true +--- From a279f46cf9cb9535f8cc60cc44be9be1effadd77 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:36:55 +0900 Subject: [PATCH 034/159] Update navigation.yml --- _data/navigation.yml | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/_data/navigation.yml b/_data/navigation.yml index 6f30866f3bed..578cb9e716fd 100644 --- a/_data/navigation.yml +++ b/_data/navigation.yml @@ -1,7 +1,7 @@ # main links main: - - title: "Quick-Start Guide" - url: https://mmistakes.github.io/minimal-mistakes/docs/quick-start-guide/ +- title: "category" + url: /categories/ # - title: "About" # url: https://mmistakes.github.io/minimal-mistakes/about/ # - title: "Sample Posts" @@ -9,4 +9,4 @@ main: # - title: "Sample Collections" # url: /collection-archive/ # - title: "Sitemap" - # url: /sitemap/ \ No newline at end of file + # url: /sitemap/ From 6133bbeda55cc5c93de8a8a38ddd6e1c5e81df3e Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:37:33 +0900 Subject: [PATCH 035/159] Update 2025-12-29-first.md --- _posts/2025-12-29-first.md | 1 + 1 file changed, 1 insertion(+) diff --git a/_posts/2025-12-29-first.md b/_posts/2025-12-29-first.md index ca80f3a5b361..01f93ca858b5 100644 --- a/_posts/2025-12-29-first.md +++ b/_posts/2025-12-29-first.md @@ -1,6 +1,7 @@ --- layout: single title: "AI를 위한 수학 블로그 입니다." +categories: AI --- ## 앞으로 약 1년간은 집합 + 선형대수 관련 내용을 작성하겠습니다. From ca77f6d3638402de226517c0e624cf0ae9514bc1 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:38:54 +0900 Subject: [PATCH 036/159] Update 2025-12-29-first.md --- _posts/2025-12-29-first.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-29-first.md b/_posts/2025-12-29-first.md index 01f93ca858b5..a74471bc1605 100644 --- a/_posts/2025-12-29-first.md +++ b/_posts/2025-12-29-first.md @@ -1,7 +1,7 @@ --- layout: single title: "AI를 위한 수학 블로그 입니다." -categories: AI +categories: Math --- ## 앞으로 약 1년간은 집합 + 선형대수 관련 내용을 작성하겠습니다. From e1707e4cb3cc55d60e77aa115dcf70004fef0347 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:39:35 +0900 Subject: [PATCH 037/159] Create tag-archive.md --- _pages/tag-archive.md | 1 + 1 file changed, 1 insertion(+) create mode 100644 _pages/tag-archive.md diff --git a/_pages/tag-archive.md b/_pages/tag-archive.md new file mode 100644 index 000000000000..8b137891791f --- /dev/null +++ b/_pages/tag-archive.md @@ -0,0 +1 @@ + From 17798aec9d06e42dcf4d121b112c5f202260a9bc Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:39:58 +0900 Subject: [PATCH 038/159] Update tag-archive.md --- _pages/tag-archive.md | 8 +++++++- 1 file changed, 7 insertions(+), 1 deletion(-) diff --git a/_pages/tag-archive.md b/_pages/tag-archive.md index 8b137891791f..92908efe3ed7 100644 --- a/_pages/tag-archive.md +++ b/_pages/tag-archive.md @@ -1 +1,7 @@ - +--- +title: "category" +layout: categories +permalink: /categories/ +author_profile: true +sidebar_main: true +--- From 90c8c6143331ccdb142f64ceaa837b513c942b50 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:40:38 +0900 Subject: [PATCH 039/159] Update tag-archive.md --- _pages/tag-archive.md | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/_pages/tag-archive.md b/_pages/tag-archive.md index 92908efe3ed7..3b677c022c0f 100644 --- a/_pages/tag-archive.md +++ b/_pages/tag-archive.md @@ -1,7 +1,7 @@ --- -title: "category" -layout: categories -permalink: /categories/ +title: "Tag" +layout: tags +permalink: /tags/ author_profile: true sidebar_main: true --- From 1e7fe1f99d42a89a7fb8e3a29c3e59ba6ee04c5e Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:41:27 +0900 Subject: [PATCH 040/159] Update 2025-12-29-first.md --- _posts/2025-12-29-first.md | 1 + 1 file changed, 1 insertion(+) diff --git a/_posts/2025-12-29-first.md b/_posts/2025-12-29-first.md index a74471bc1605..a6103a391cfd 100644 --- a/_posts/2025-12-29-first.md +++ b/_posts/2025-12-29-first.md @@ -2,6 +2,7 @@ layout: single title: "AI를 위한 수학 블로그 입니다." categories: Math +tag: plan --- ## 앞으로 약 1년간은 집합 + 선형대수 관련 내용을 작성하겠습니다. From b60875fcbfdc4c2694b6f2e1e0e860d54387541b Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:42:08 +0900 Subject: [PATCH 041/159] Update navigation.yml --- _data/navigation.yml | 3 +++ 1 file changed, 3 insertions(+) diff --git a/_data/navigation.yml b/_data/navigation.yml index 578cb9e716fd..2d6960fc247f 100644 --- a/_data/navigation.yml +++ b/_data/navigation.yml @@ -2,6 +2,9 @@ main: - title: "category" url: /categories/ + +- title: "Tag" + url: /tags/ # - title: "About" # url: https://mmistakes.github.io/minimal-mistakes/about/ # - title: "Sample Posts" From d0f9085700cb9776ee9bc16075940b6dcaa10a39 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:44:14 +0900 Subject: [PATCH 042/159] Update category-archive.md --- _pages/category-archive.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_pages/category-archive.md b/_pages/category-archive.md index 92908efe3ed7..0debf30bc289 100644 --- a/_pages/category-archive.md +++ b/_pages/category-archive.md @@ -1,5 +1,5 @@ --- -title: "category" +title: "Category" layout: categories permalink: /categories/ author_profile: true From bc6c91bc4e2d8ed1a019aa7cca1c7b3e7dae54d6 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:44:31 +0900 Subject: [PATCH 043/159] Update navigation.yml --- _data/navigation.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_data/navigation.yml b/_data/navigation.yml index 2d6960fc247f..3312506b0925 100644 --- a/_data/navigation.yml +++ b/_data/navigation.yml @@ -1,6 +1,6 @@ # main links main: -- title: "category" +- title: "Category" url: /categories/ - title: "Tag" From 7ca498818bd61517487cdda21c4338e123ae2d89 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:47:13 +0900 Subject: [PATCH 044/159] Update category-archive.md --- _pages/category-archive.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_pages/category-archive.md b/_pages/category-archive.md index 0debf30bc289..92908efe3ed7 100644 --- a/_pages/category-archive.md +++ b/_pages/category-archive.md @@ -1,5 +1,5 @@ --- -title: "Category" +title: "category" layout: categories permalink: /categories/ author_profile: true From c3b34e4ec876db4bc6a7c18dd1300254701af42f Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:47:32 +0900 Subject: [PATCH 045/159] Update navigation.yml --- _data/navigation.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_data/navigation.yml b/_data/navigation.yml index 3312506b0925..2d6960fc247f 100644 --- a/_data/navigation.yml +++ b/_data/navigation.yml @@ -1,6 +1,6 @@ # main links main: -- title: "Category" +- title: "category" url: /categories/ - title: "Tag" From a3d865085c1ce0a8f1d8384f269416b26370245d Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:48:46 +0900 Subject: [PATCH 046/159] Update 2025-12-29-first.md --- _posts/2025-12-29-first.md | 1 + 1 file changed, 1 insertion(+) diff --git a/_posts/2025-12-29-first.md b/_posts/2025-12-29-first.md index a6103a391cfd..0755174d1b93 100644 --- a/_posts/2025-12-29-first.md +++ b/_posts/2025-12-29-first.md @@ -3,6 +3,7 @@ layout: single title: "AI를 위한 수학 블로그 입니다." categories: Math tag: plan +toc: true --- ## 앞으로 약 1년간은 집합 + 선형대수 관련 내용을 작성하겠습니다. From 0d00eb5c8aebfba00d0343a3006bf6d4bbcf1c01 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:49:37 +0900 Subject: [PATCH 047/159] Update category-archive.md --- _pages/category-archive.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_pages/category-archive.md b/_pages/category-archive.md index 92908efe3ed7..0debf30bc289 100644 --- a/_pages/category-archive.md +++ b/_pages/category-archive.md @@ -1,5 +1,5 @@ --- -title: "category" +title: "Category" layout: categories permalink: /categories/ author_profile: true From e8e4d2a87b7dd4fa0face6cbbcbab2627a2b069e Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:49:55 +0900 Subject: [PATCH 048/159] Update navigation.yml --- _data/navigation.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_data/navigation.yml b/_data/navigation.yml index 2d6960fc247f..3312506b0925 100644 --- a/_data/navigation.yml +++ b/_data/navigation.yml @@ -1,6 +1,6 @@ # main links main: -- title: "category" +- title: "Category" url: /categories/ - title: "Tag" From 7c1e1b626e2a01485679b9a50ec4016c48bf8a48 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:53:06 +0900 Subject: [PATCH 049/159] Update 2025-12-29-first.md --- _posts/2025-12-29-first.md | 3 +++ 1 file changed, 3 insertions(+) diff --git a/_posts/2025-12-29-first.md b/_posts/2025-12-29-first.md index 0755174d1b93..75dd74740bf0 100644 --- a/_posts/2025-12-29-first.md +++ b/_posts/2025-12-29-first.md @@ -5,5 +5,8 @@ categories: Math tag: plan toc: true --- +# 첫 번째 목차 + +## 두 번쨰 목차 ## 앞으로 약 1년간은 집합 + 선형대수 관련 내용을 작성하겠습니다. From 385f79dbded1d2d0d46ae814f2ccdcc06ff94331 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:54:16 +0900 Subject: [PATCH 050/159] Update 2025-12-29-first.md --- _posts/2025-12-29-first.md | 5 +---- 1 file changed, 1 insertion(+), 4 deletions(-) diff --git a/_posts/2025-12-29-first.md b/_posts/2025-12-29-first.md index 75dd74740bf0..03380c979e75 100644 --- a/_posts/2025-12-29-first.md +++ b/_posts/2025-12-29-first.md @@ -6,7 +6,4 @@ tag: plan toc: true --- # 첫 번째 목차 - - -## 두 번쨰 목차 -## 앞으로 약 1년간은 집합 + 선형대수 관련 내용을 작성하겠습니다. +앞으로 약 1년간은 집합 + 선형대수 관련 내용을 작성하겠습니다. From fbfcc89b7e16a4f9d2c264471cc596a4e176ffe9 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 12:58:36 +0900 Subject: [PATCH 051/159] Update 2025-12-29-first.md --- _posts/2025-12-29-first.md | 1 + 1 file changed, 1 insertion(+) diff --git a/_posts/2025-12-29-first.md b/_posts/2025-12-29-first.md index 03380c979e75..0f69b430796a 100644 --- a/_posts/2025-12-29-first.md +++ b/_posts/2025-12-29-first.md @@ -4,6 +4,7 @@ title: "AI를 위한 수학 블로그 입니다." categories: Math tag: plan toc: true +author_profile: false --- # 첫 번째 목차 앞으로 약 1년간은 집합 + 선형대수 관련 내용을 작성하겠습니다. From e4acbed81752608daa329e6667eb6097faef5385 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 13:01:37 +0900 Subject: [PATCH 052/159] Update navigation.yml --- _data/navigation.yml | 8 ++++++++ 1 file changed, 8 insertions(+) diff --git a/_data/navigation.yml b/_data/navigation.yml index 3312506b0925..c2ee1297a2fd 100644 --- a/_data/navigation.yml +++ b/_data/navigation.yml @@ -5,6 +5,14 @@ main: - title: "Tag" url: /tags/ + +docs: + -title: "목차" + children: + -title: "category" + url: /categories/ + -title: "Tag" + url: /tags/ # - title: "About" # url: https://mmistakes.github.io/minimal-mistakes/about/ # - title: "Sample Posts" From ff9b545af2a3a306034cb4fe456be28e9de3fa06 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 13:02:46 +0900 Subject: [PATCH 053/159] Update 2025-12-29-first.md --- _posts/2025-12-29-first.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/_posts/2025-12-29-first.md b/_posts/2025-12-29-first.md index 0f69b430796a..a3b17c618bbe 100644 --- a/_posts/2025-12-29-first.md +++ b/_posts/2025-12-29-first.md @@ -5,6 +5,8 @@ categories: Math tag: plan toc: true author_profile: false +sidebar: + nav: "docs" --- # 첫 번째 목차 앞으로 약 1년간은 집합 + 선형대수 관련 내용을 작성하겠습니다. From 5fe41bf01c9e7e27c7eb9090ad93748ba5b10cd2 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 13:04:47 +0900 Subject: [PATCH 054/159] Update navigation.yml --- _data/navigation.yml | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/_data/navigation.yml b/_data/navigation.yml index c2ee1297a2fd..acbe07dd7942 100644 --- a/_data/navigation.yml +++ b/_data/navigation.yml @@ -7,12 +7,12 @@ main: url: /tags/ docs: - -title: "목차" - children: - -title: "category" - url: /categories/ - -title: "Tag" - url: /tags/ + - title: "목차" + children: + - title: "category" + url: /categories/ + - title: "Tag" + url: /tags/ # - title: "About" # url: https://mmistakes.github.io/minimal-mistakes/about/ # - title: "Sample Posts" From 1b6214fa1647da864b4d984b417dc9a465d6ee6a Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 13:06:55 +0900 Subject: [PATCH 055/159] Update navigation.yml --- _data/navigation.yml | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/_data/navigation.yml b/_data/navigation.yml index acbe07dd7942..a6003e2508ab 100644 --- a/_data/navigation.yml +++ b/_data/navigation.yml @@ -9,10 +9,10 @@ main: docs: - title: "목차" children: - - title: "category" - url: /categories/ + - title: "category" + url: /categories/ - title: "Tag" - url: /tags/ + url: /tags/ # - title: "About" # url: https://mmistakes.github.io/minimal-mistakes/about/ # - title: "Sample Posts" From 587673357d9a763dd30e87cce7466629aee14f16 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 13:08:12 +0900 Subject: [PATCH 056/159] Update 2025-12-29-first.md From 7427759ad2f686289d263dccb15c3517dee2efb1 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 13:09:37 +0900 Subject: [PATCH 057/159] Update navigation.yml --- _data/navigation.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_data/navigation.yml b/_data/navigation.yml index a6003e2508ab..8eaf075d2d3b 100644 --- a/_data/navigation.yml +++ b/_data/navigation.yml @@ -9,7 +9,7 @@ main: docs: - title: "목차" children: - - title: "category" + - title: "Category" url: /categories/ - title: "Tag" url: /tags/ From 7ad49f6a51dd33442851f5b84143f9951f1bc7a4 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 13:14:42 +0900 Subject: [PATCH 058/159] Update navigation.yml --- _data/navigation.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_data/navigation.yml b/_data/navigation.yml index 8eaf075d2d3b..27c9c5e388e4 100644 --- a/_data/navigation.yml +++ b/_data/navigation.yml @@ -12,7 +12,7 @@ docs: - title: "Category" url: /categories/ - title: "Tag" - url: /tags/ + url: /tags/ # - title: "About" # url: https://mmistakes.github.io/minimal-mistakes/about/ # - title: "Sample Posts" From 1f9adeba222354c5a95b578ae7cbb87320074851 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 13:16:56 +0900 Subject: [PATCH 059/159] Update navigation.yml From 1bfea565e8cea6fd552dfb2de1c8f7beea315509 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 13:17:41 +0900 Subject: [PATCH 060/159] Create search.md --- _pages/search.md | 1 + 1 file changed, 1 insertion(+) create mode 100644 _pages/search.md diff --git a/_pages/search.md b/_pages/search.md new file mode 100644 index 000000000000..8b137891791f --- /dev/null +++ b/_pages/search.md @@ -0,0 +1 @@ + From 8d19ece3be0c0fa473ac443b56f2de672de8b108 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 13:18:46 +0900 Subject: [PATCH 061/159] Update search.md --- _pages/search.md | 6 +++++- 1 file changed, 5 insertions(+), 1 deletion(-) diff --git a/_pages/search.md b/_pages/search.md index 8b137891791f..37a38202ad8c 100644 --- a/_pages/search.md +++ b/_pages/search.md @@ -1 +1,5 @@ - +--- +title: search +layout: search +permalink: /search/ +--- From 10e0e15f6f7dbbd8432676fd9ad36ac2f9dea572 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 13:19:34 +0900 Subject: [PATCH 062/159] Update navigation.yml --- _data/navigation.yml | 3 +++ 1 file changed, 3 insertions(+) diff --git a/_data/navigation.yml b/_data/navigation.yml index 27c9c5e388e4..6a8da2450d3c 100644 --- a/_data/navigation.yml +++ b/_data/navigation.yml @@ -6,6 +6,9 @@ main: - title: "Tag" url: /tags/ +- title: "Search" + url: /search/ + docs: - title: "목차" children: From 862c267ef3369df3b61afaec592cb9de5da2e35b Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 13:19:51 +0900 Subject: [PATCH 063/159] Update search.md --- _pages/search.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_pages/search.md b/_pages/search.md index 37a38202ad8c..df7b02a17dce 100644 --- a/_pages/search.md +++ b/_pages/search.md @@ -1,5 +1,5 @@ --- -title: search +title: Search layout: search permalink: /search/ --- From 07ae2fcb9b49df743bd1df5bb85c9690f94f570f Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 13:20:47 +0900 Subject: [PATCH 064/159] Update 2025-12-29-first.md From 02015bf1773ee589dafa2c5192f95011d4456a96 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 13:24:36 +0900 Subject: [PATCH 065/159] Update _config.yml --- _config.yml | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/_config.yml b/_config.yml index 425fed09be9c..750d5369dd29 100644 --- a/_config.yml +++ b/_config.yml @@ -119,9 +119,9 @@ author: location : "south Korea" email : "ks.hwang.0313@gmail.com" links: - - label: "Email" - icon: "fas fa-fw fa-envelope-square" - url: "mailto:ks.hwang.0313@gmail.com" + # - label: "Email" + # icon: "fas fa-fw fa-envelope-square" + # url: "mailto:ks.hwang.0313@gmail.com" - label: "Website" icon: "fas fa-fw fa-link" url: "https://www.notion.so/6d829d5c8faf45ea9a9c3344a5d1e1fc?source=copy_link" @@ -134,9 +134,9 @@ author: - label: "GitHub" icon: "fab fa-fw fa-github" url: "https://github.com/kiseonghwang" - # - label: "Instagram" - # icon: "fab fa-fw fa-instagram" - # url: "https://instagram.com/" + - label: "Instagram" + icon: "fab fa-fw fa-instagram" + url: "https://www.instagram.com/kiseong_07" # Site Footer footer: From 019d5365c3b0d732a8c8b4644e39b05657183de5 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 13:31:04 +0900 Subject: [PATCH 066/159] Update _config.yml --- _config.yml | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/_config.yml b/_config.yml index 750d5369dd29..f75d591c06b3 100644 --- a/_config.yml +++ b/_config.yml @@ -156,9 +156,9 @@ footer: # - label: "Bitbucket" # icon: "fab fa-fw fa-bitbucket" # # url: - # - label: "Instagram" - # icon: "fab fa-fw fa-instagram" - # # url: + - label: "Instagram" + icon: "fab fa-fw fa-instagram" + url: "https://www.instagram.com/kiseong_07" since: "2013" @@ -321,8 +321,8 @@ defaults: values: layout: single author_profile: true - read_time: true + read_time: false comments: true - share: true + share: false related: true show_date: true From 026f67e3205e719bdcd0419ba70ab095e95ba711 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 13:34:43 +0900 Subject: [PATCH 067/159] Update _config.yml --- _config.yml | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/_config.yml b/_config.yml index f75d591c06b3..0487a7baeb18 100644 --- a/_config.yml +++ b/_config.yml @@ -147,6 +147,10 @@ footer: # - label: "Facebook" # icon: "fab fa-fw fa-facebook-square" # # url: + - label: "Email" + icon: "fas fa-fw fa-link" + url: "https://github.com/kiseonghwang" + - label: "GitHub" icon: "fab fa-fw fa-github" url: "https://github.com/kiseonghwang" From 019954cb66938c1c0770be0ee2293222a9ccc420 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 13:36:25 +0900 Subject: [PATCH 068/159] Update _config.yml --- _config.yml | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/_config.yml b/_config.yml index 0487a7baeb18..9e8e27160860 100644 --- a/_config.yml +++ b/_config.yml @@ -148,8 +148,8 @@ footer: # icon: "fab fa-fw fa-facebook-square" # # url: - label: "Email" - icon: "fas fa-fw fa-link" - url: "https://github.com/kiseonghwang" + icon: "fas fa-fw fa-envelope-square" + url: "ks.hwang.0313@gmail.com" - label: "GitHub" icon: "fab fa-fw fa-github" From 7255fea2e44dbce659f41024f550a0357067e5ce Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 13:57:40 +0900 Subject: [PATCH 069/159] Create 2025-12-19-set_2.md --- _posts/2025-12-19-set_2.md | 63 ++++++++++++++++++++++++++++++++++++++ 1 file changed, 63 insertions(+) create mode 100644 _posts/2025-12-19-set_2.md diff --git a/_posts/2025-12-19-set_2.md b/_posts/2025-12-19-set_2.md new file mode 100644 index 000000000000..2a80de4c4069 --- /dev/null +++ b/_posts/2025-12-19-set_2.md @@ -0,0 +1,63 @@ +--- +layout: single +title: "2. Set theory for Linear Algebra(SubSet/PowerSet/집합의 상등/Basic Operation)" +categories: Math(Linear Algebra) +tag: Set +toc: true +author_profile: false +sidebar: + nav: "docs" +--- + +## Sub Set: +어떤 Object의 특징을 가져와 일부, 혹은 전체를 할당해 주는 것을 해당 Object의 sub라고 표현한다. + +집합으로 예를 들면, 집합의 특징은 오직 원소 임으로 이러한 특징 원소를 일부, 혹은 전부 가져오는 것으로 볼 수 있다. + + + +Definition: $A \sub B$  $\Leftrightarrow$  $\forall x \in A,$ $x \in B$. (모든 A의 원소인 x는 B의 원소이다. 즉, A는 B의 subset이다.) + +subset의 정의 때문에 $A = B$일 수 있다. 하지만 $A = B$가 아님을 명시하고 싶은 경우 $A⊊B$라고 작성하면 된다.(이를 proper subset이라고 한다.) + + + +ex) 두 집합 $A$ = {$2n, n \in \mathbb{N}$}, $B$ = {$4n, n \in \mathbb{N}$}가 있을 때, $B \sub A$임은 자명하다.(A는 2의 배수이고, B는 4의 배수이기 때문에 B의 원소가 다시 A의 원소가 되기 때문이다.) + +B는 A의 subset이기 때문에 A의 특징을 물려받았을 것이다. 이 특징은 2 * $n$꼴, 즉 2 * 정수라는 특징이다. + +B또한 4n을 2 * 2n으로 볼 수 있고, 이 또한 2 * 정수 꼴이다. 따라서 B는 A의 특징을 물려받고 있음으로 $A \sub B$라고 볼 수 있다. + + + + + + + + +## 집합의 상등: +국어사전에서 “같다”의 정의는 “서로 다르지 않고 하나이다.”이다. 수학에서 서로 다르지 않다는 것은 특징이 모두 동일하다는 것으로 볼 수 있다. + +집합의 특징이라 함은 원소가 유일하기 때문에 두 집합이 같다는 것은 두 집합의 원소가 서로 같다는 말이 된다. + +따라서 집합에서의 같음은 서로의 특징에 따라 관계를 나타내는 subset을 활용해서 보일 수 있다. + +definition: $A = B$ $\Leftrightarrow$ $A \sub B$ $and$ $B\sub A$(두 집합의 관계가 서로가 서로의 subset이라는 것은 두 집합의 특징이 같다고 이해할 수 있으며, 집합에서의 특징은 원소 임으로 두 집합의 원소가 같음을 알 수 있다.) + +서로가 서로의 subset임으로 $A = B$이다. 를 보이는 것을 double inclusion이라고 한다. + + + + + + + + +## Power Set: +집합 A가 주어졌을 때, A에 대한 모든 부분집합의 집합을 Power set이라고 한다. + +definition: $P(A)$ := {$B : B\sub A$} + +P(A)는 집합을 원소로 같는 집합 임으로 A가 P(A)에 포함됨을 보이고 싶을 때, $A \sub P(A)$가 아닌 $A \in P(A)$로 작성해야 한다. + +집합의 원소는 집합이 될 수 있고, 함수도 될 수 있다. 따라서 집합과 원소 관계를 보는 시야를 좁게 보는 것이 아닌 넓게 봐야 한다. From c9fe64ccd746f7a49875d6a61b2fefb6bc2cf638 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 14:02:35 +0900 Subject: [PATCH 070/159] Update 2025-12-19-set_2.md --- _posts/2025-12-19-set_2.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/_posts/2025-12-19-set_2.md b/_posts/2025-12-19-set_2.md index 2a80de4c4069..bcb5645ea221 100644 --- a/_posts/2025-12-19-set_2.md +++ b/_posts/2025-12-19-set_2.md @@ -1,7 +1,7 @@ --- layout: single -title: "2. Set theory for Linear Algebra(SubSet/PowerSet/집합의 상등/Basic Operation)" -categories: Math(Linear Algebra) +title: "2.Set theory for Linear Algebra(SubSet/PowerSet/집합의 상등/Basic Operation)" +categories: Math(Linear_Algebra) tag: Set toc: true author_profile: false From 5a99d2f0ab93f77102edce9674840cd08556859c Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 14:04:13 +0900 Subject: [PATCH 071/159] Add files via upload --- _includes/mathjax-support.html | 22 ++++++++++++++++++++++ 1 file changed, 22 insertions(+) create mode 100644 _includes/mathjax-support.html diff --git a/_includes/mathjax-support.html b/_includes/mathjax-support.html new file mode 100644 index 000000000000..ca5aaf0ee98f --- /dev/null +++ b/_includes/mathjax-support.html @@ -0,0 +1,22 @@ + + \ No newline at end of file From a24f1ebd5f26a9c9f865407864574f8edc227413 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 14:06:42 +0900 Subject: [PATCH 072/159] Update 2025-12-19-set_2.md --- _posts/2025-12-19-set_2.md | 1 + 1 file changed, 1 insertion(+) diff --git a/_posts/2025-12-19-set_2.md b/_posts/2025-12-19-set_2.md index bcb5645ea221..bcfd659ab616 100644 --- a/_posts/2025-12-19-set_2.md +++ b/_posts/2025-12-19-set_2.md @@ -7,6 +7,7 @@ toc: true author_profile: false sidebar: nav: "docs" +use_math: true --- ## Sub Set: From c03c699afbe0d8d09146b0ba402e1e4940e16f36 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 14:08:17 +0900 Subject: [PATCH 073/159] Update custom.html --- _includes/head/custom.html | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/_includes/head/custom.html b/_includes/head/custom.html index 978d84fd8bdd..794ba2faaedb 100644 --- a/_includes/head/custom.html +++ b/_includes/head/custom.html @@ -2,4 +2,9 @@ +{% if page.use_math %} + {% include mathjax-support.html %} + +{% endif %} + From b6c1587be931f169ebdc1de6cfd9a8b60ed9281a Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 14:13:53 +0900 Subject: [PATCH 074/159] Update 2025-12-19-set_2.md --- _posts/2025-12-19-set_2.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-19-set_2.md b/_posts/2025-12-19-set_2.md index bcfd659ab616..52d254e85b84 100644 --- a/_posts/2025-12-19-set_2.md +++ b/_posts/2025-12-19-set_2.md @@ -45,7 +45,7 @@ B또한 4n을 2 * 2n으로 볼 수 있고, 이 또한 2 * 정수 꼴이다. 따 definition: $A = B$ $\Leftrightarrow$ $A \sub B$ $and$ $B\sub A$(두 집합의 관계가 서로가 서로의 subset이라는 것은 두 집합의 특징이 같다고 이해할 수 있으며, 집합에서의 특징은 원소 임으로 두 집합의 원소가 같음을 알 수 있다.) -서로가 서로의 subset임으로 $A = B$이다. 를 보이는 것을 double inclusion이라고 한다. +서로가 서로의 subset임으로 $A = B$이다. (이렇게 Subset을 활용해 집합의 같음을 보이는 것을 double inclusion이라고 한다.) From fb0c64998096b9c58a89719db0af7f2c4639a98e Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 14:17:22 +0900 Subject: [PATCH 075/159] Update 2025-12-19-set_2.md --- _posts/2025-12-19-set_2.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-19-set_2.md b/_posts/2025-12-19-set_2.md index 52d254e85b84..cf770c088459 100644 --- a/_posts/2025-12-19-set_2.md +++ b/_posts/2025-12-19-set_2.md @@ -17,7 +17,7 @@ use_math: true -Definition: $A \sub B$  $\Leftrightarrow$  $\forall x \in A,$ $x \in B$. (모든 A의 원소인 x는 B의 원소이다. 즉, A는 B의 subset이다.) +Definition: $$A \sub B$$  $\Leftrightarrow$  $\forall x \in A,$ $x \in B$. (모든 A의 원소인 x는 B의 원소이다. 즉, A는 B의 subset이다.) subset의 정의 때문에 $A = B$일 수 있다. 하지만 $A = B$가 아님을 명시하고 싶은 경우 $A⊊B$라고 작성하면 된다.(이를 proper subset이라고 한다.) From a6ade936f36c7f629502f5f2f8401643adfbeee9 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 14:18:43 +0900 Subject: [PATCH 076/159] Update 2025-12-19-set_2.md --- _posts/2025-12-19-set_2.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-19-set_2.md b/_posts/2025-12-19-set_2.md index cf770c088459..52d254e85b84 100644 --- a/_posts/2025-12-19-set_2.md +++ b/_posts/2025-12-19-set_2.md @@ -17,7 +17,7 @@ use_math: true -Definition: $$A \sub B$$  $\Leftrightarrow$  $\forall x \in A,$ $x \in B$. (모든 A의 원소인 x는 B의 원소이다. 즉, A는 B의 subset이다.) +Definition: $A \sub B$  $\Leftrightarrow$  $\forall x \in A,$ $x \in B$. (모든 A의 원소인 x는 B의 원소이다. 즉, A는 B의 subset이다.) subset의 정의 때문에 $A = B$일 수 있다. 하지만 $A = B$가 아님을 명시하고 싶은 경우 $A⊊B$라고 작성하면 된다.(이를 proper subset이라고 한다.) From c82f1bea637c9dc3d86723137a13a454561756b3 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 14:20:24 +0900 Subject: [PATCH 077/159] Update scripts.html --- _includes/scripts.html | 18 ++++++++++++++++++ 1 file changed, 18 insertions(+) diff --git a/_includes/scripts.html b/_includes/scripts.html index bbdaddff0bab..0751a44c3c75 100644 --- a/_includes/scripts.html +++ b/_includes/scripts.html @@ -26,3 +26,21 @@ {% endfor %} {% endif %} + + + + + + + From bab0d1008bbca1d1c8b79bfcf2aa4908083754fe Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 14:25:52 +0900 Subject: [PATCH 078/159] Update head.html --- _includes/head.html | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/_includes/head.html b/_includes/head.html index c214bea57cc9..7d369d6b0d44 100644 --- a/_includes/head.html +++ b/_includes/head.html @@ -26,3 +26,8 @@ {% endfor %} {% endif %} + + +{% if page.use_math %} + {% include mathjax_support.html %} +{% endif %} From eb6f41e43ae2d00fd6308b7320891098c50002cf Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 14:27:03 +0900 Subject: [PATCH 079/159] Update 2025-12-19-set_2.md --- _posts/2025-12-19-set_2.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-19-set_2.md b/_posts/2025-12-19-set_2.md index 52d254e85b84..3777a0d3a073 100644 --- a/_posts/2025-12-19-set_2.md +++ b/_posts/2025-12-19-set_2.md @@ -27,7 +27,7 @@ ex) 두 집합 $A$ = {$2n, n \in \mathbb{N}$}, $B$ = {$4n, n \in \mathbb{N}$}가 B는 A의 subset이기 때문에 A의 특징을 물려받았을 것이다. 이 특징은 2 * $n$꼴, 즉 2 * 정수라는 특징이다. -B또한 4n을 2 * 2n으로 볼 수 있고, 이 또한 2 * 정수 꼴이다. 따라서 B는 A의 특징을 물려받고 있음으로 $A \sub B$라고 볼 수 있다. +B또한 4n을 2 * 2n으로 볼 수 있고, 이 또한 2 * 정수 꼴이다. 따라서 B는 A의 특징을 물려받고 있음으로 $A \sub B$라고 볼 수 있다.. From f30519514de73d70ced75b2e2c3df181ec0c71ed Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 14:29:18 +0900 Subject: [PATCH 080/159] Update head.html --- _includes/head.html | 5 ----- 1 file changed, 5 deletions(-) diff --git a/_includes/head.html b/_includes/head.html index 7d369d6b0d44..c214bea57cc9 100644 --- a/_includes/head.html +++ b/_includes/head.html @@ -26,8 +26,3 @@ {% endfor %} {% endif %} - - -{% if page.use_math %} - {% include mathjax_support.html %} -{% endif %} From b3b6286deb640bcafef74d3beb021cb606064461 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 14:36:13 +0900 Subject: [PATCH 081/159] Update mathjax-support.html --- _includes/mathjax-support.html | 41 +++++++++++++++++----------------- 1 file changed, 21 insertions(+), 20 deletions(-) diff --git a/_includes/mathjax-support.html b/_includes/mathjax-support.html index ca5aaf0ee98f..ec077ed53c94 100644 --- a/_includes/mathjax-support.html +++ b/_includes/mathjax-support.html @@ -1,22 +1,23 @@ - \ No newline at end of file + }, + tex2jax: { + inlineMath: [ ['$', '$'] ], + displayMath: [ ['$$', '$$'] ], + processEscapes: true, + } +}); +MathJax.Hub.Register.MessageHook("Math Processing Error",function (message) { + alert("Math Processing Error: "+message[1]); + }); +MathJax.Hub.Register.MessageHook("TeX Jax - parse error",function (message) { + alert("Math Processing Error: "+message[1]); + }); + + From 0770bd82d37980bb5ee645d6c65146311f6a45c1 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 14:37:18 +0900 Subject: [PATCH 082/159] Update 2025-12-19-set_2.md --- _posts/2025-12-19-set_2.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-19-set_2.md b/_posts/2025-12-19-set_2.md index 3777a0d3a073..de89eb44c28d 100644 --- a/_posts/2025-12-19-set_2.md +++ b/_posts/2025-12-19-set_2.md @@ -61,4 +61,4 @@ definition: $P(A)$ := {$B : B\sub A$} P(A)는 집합을 원소로 같는 집합 임으로 A가 P(A)에 포함됨을 보이고 싶을 때, $A \sub P(A)$가 아닌 $A \in P(A)$로 작성해야 한다. -집합의 원소는 집합이 될 수 있고, 함수도 될 수 있다. 따라서 집합과 원소 관계를 보는 시야를 좁게 보는 것이 아닌 넓게 봐야 한다. +집합의 원소는 집합이 될 수 있고, 함수도 될 수 있다. 따라서 집합과 원소 관계를 보는 시야를 좁게 보는 것이 아닌 넓게 봐야 한다.... From 4c7dcb2fcf6b1ed36c7452813058bc6e7916db78 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 14:39:54 +0900 Subject: [PATCH 083/159] Update default.html --- _layouts/default.html | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/_layouts/default.html b/_layouts/default.html index ecfc46620257..cbf5a4345350 100644 --- a/_layouts/default.html +++ b/_layouts/default.html @@ -5,6 +5,11 @@ {% include copyright.html %} + {% if page.use_math %} + {% include mathjax_support.html %} + {% endif %} + + {% include head.html %} {% include head/custom.html %} From 2895aae4ded019144a836438a99de4440ab7e3fc Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 14:40:18 +0900 Subject: [PATCH 084/159] Update 2025-12-19-set_2.md --- _posts/2025-12-19-set_2.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-19-set_2.md b/_posts/2025-12-19-set_2.md index de89eb44c28d..3777a0d3a073 100644 --- a/_posts/2025-12-19-set_2.md +++ b/_posts/2025-12-19-set_2.md @@ -61,4 +61,4 @@ definition: $P(A)$ := {$B : B\sub A$} P(A)는 집합을 원소로 같는 집합 임으로 A가 P(A)에 포함됨을 보이고 싶을 때, $A \sub P(A)$가 아닌 $A \in P(A)$로 작성해야 한다. -집합의 원소는 집합이 될 수 있고, 함수도 될 수 있다. 따라서 집합과 원소 관계를 보는 시야를 좁게 보는 것이 아닌 넓게 봐야 한다.... +집합의 원소는 집합이 될 수 있고, 함수도 될 수 있다. 따라서 집합과 원소 관계를 보는 시야를 좁게 보는 것이 아닌 넓게 봐야 한다. From d20c30fc25a73d35e8980f43b249d8794047b1cd Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 14:42:22 +0900 Subject: [PATCH 085/159] Update default.html --- _layouts/default.html | 11 +++++------ 1 file changed, 5 insertions(+), 6 deletions(-) diff --git a/_layouts/default.html b/_layouts/default.html index cbf5a4345350..7576b73c8d3f 100644 --- a/_layouts/default.html +++ b/_layouts/default.html @@ -5,15 +5,14 @@ {% include copyright.html %} - {% if page.use_math %} - {% include mathjax_support.html %} - {% endif %} - - {% include head.html %} {% include head/custom.html %} - + +{% if page.use_math %} + {% include mathjax_support.html %} +{% endif %} + {% include_cached skip-links.html %} {% include_cached masthead.html %} From 2b14394adf9aec97f289b5594ef20caec9df721d Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 14:43:50 +0900 Subject: [PATCH 086/159] Update default.html --- _layouts/default.html | 7 ++++--- 1 file changed, 4 insertions(+), 3 deletions(-) diff --git a/_layouts/default.html b/_layouts/default.html index 7576b73c8d3f..276bafa61baa 100644 --- a/_layouts/default.html +++ b/_layouts/default.html @@ -7,11 +7,12 @@ {% include head.html %} {% include head/custom.html %} + + {% if page.use_math %} + {% include mathjax_support.html %} + {% endif %} -{% if page.use_math %} - {% include mathjax_support.html %} -{% endif %} {% include_cached skip-links.html %} From 35bb09712eab05e63f04292817cb0b94ccdf3c9f Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 14:46:40 +0900 Subject: [PATCH 087/159] Update default.html --- _layouts/default.html | 4 ---- 1 file changed, 4 deletions(-) diff --git a/_layouts/default.html b/_layouts/default.html index 276bafa61baa..f189b7c09a9a 100644 --- a/_layouts/default.html +++ b/_layouts/default.html @@ -7,10 +7,6 @@ {% include head.html %} {% include head/custom.html %} - - {% if page.use_math %} - {% include mathjax_support.html %} - {% endif %} From c4bad26cb5162e05b293f7ec9e9a5fb223c95de4 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 14:49:55 +0900 Subject: [PATCH 088/159] Update scripts.html --- _includes/scripts.html | 26 ++++++++++++++------------ 1 file changed, 14 insertions(+), 12 deletions(-) diff --git a/_includes/scripts.html b/_includes/scripts.html index 0751a44c3c75..2e1164eda741 100644 --- a/_includes/scripts.html +++ b/_includes/scripts.html @@ -29,18 +29,20 @@ - + + - From 9f562c0dc4a382f4129685e13781c5a60017d5bb Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Mon, 29 Dec 2025 14:55:58 +0900 Subject: [PATCH 089/159] Update 2025-12-19-set_2.md --- _posts/2025-12-19-set_2.md | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/_posts/2025-12-19-set_2.md b/_posts/2025-12-19-set_2.md index 3777a0d3a073..30344bd67f5b 100644 --- a/_posts/2025-12-19-set_2.md +++ b/_posts/2025-12-19-set_2.md @@ -17,17 +17,17 @@ use_math: true -Definition: $A \sub B$  $\Leftrightarrow$  $\forall x \in A,$ $x \in B$. (모든 A의 원소인 x는 B의 원소이다. 즉, A는 B의 subset이다.) +Definition: $A ⊂ B$  $\Leftrightarrow$  $\forall x \in A,$ $x \in B$. (모든 A의 원소인 x는 B의 원소이다. 즉, A는 B의 subset이다.) subset의 정의 때문에 $A = B$일 수 있다. 하지만 $A = B$가 아님을 명시하고 싶은 경우 $A⊊B$라고 작성하면 된다.(이를 proper subset이라고 한다.) -ex) 두 집합 $A$ = {$2n, n \in \mathbb{N}$}, $B$ = {$4n, n \in \mathbb{N}$}가 있을 때, $B \sub A$임은 자명하다.(A는 2의 배수이고, B는 4의 배수이기 때문에 B의 원소가 다시 A의 원소가 되기 때문이다.) +ex) 두 집합 $A$ = {$2n, n \in \mathbb{N}$}, $B$ = {$4n, n \in \mathbb{N}$}가 있을 때, $B ⊂ A$임은 자명하다.(A는 2의 배수이고, B는 4의 배수이기 때문에 B의 원소가 다시 A의 원소가 되기 때문이다.) B는 A의 subset이기 때문에 A의 특징을 물려받았을 것이다. 이 특징은 2 * $n$꼴, 즉 2 * 정수라는 특징이다. -B또한 4n을 2 * 2n으로 볼 수 있고, 이 또한 2 * 정수 꼴이다. 따라서 B는 A의 특징을 물려받고 있음으로 $A \sub B$라고 볼 수 있다.. +B또한 4n을 2 * 2n으로 볼 수 있고, 이 또한 2 * 정수 꼴이다. 따라서 B는 A의 특징을 물려받고 있음으로 $A ⊂ B$라고 볼 수 있다.. @@ -43,7 +43,7 @@ B또한 4n을 2 * 2n으로 볼 수 있고, 이 또한 2 * 정수 꼴이다. 따 따라서 집합에서의 같음은 서로의 특징에 따라 관계를 나타내는 subset을 활용해서 보일 수 있다. -definition: $A = B$ $\Leftrightarrow$ $A \sub B$ $and$ $B\sub A$(두 집합의 관계가 서로가 서로의 subset이라는 것은 두 집합의 특징이 같다고 이해할 수 있으며, 집합에서의 특징은 원소 임으로 두 집합의 원소가 같음을 알 수 있다.) +definition: $A = B$ $\Leftrightarrow$ $A ⊂ B$ $and$ $B⊂ A$(두 집합의 관계가 서로가 서로의 subset이라는 것은 두 집합의 특징이 같다고 이해할 수 있으며, 집합에서의 특징은 원소 임으로 두 집합의 원소가 같음을 알 수 있다.) 서로가 서로의 subset임으로 $A = B$이다. (이렇게 Subset을 활용해 집합의 같음을 보이는 것을 double inclusion이라고 한다.) @@ -57,8 +57,8 @@ definition: $A = B$ $\Leftrightarrow$ $A \sub B$ $and$ $B\sub A$(두 집합의 ## Power Set: 집합 A가 주어졌을 때, A에 대한 모든 부분집합의 집합을 Power set이라고 한다. -definition: $P(A)$ := {$B : B\sub A$} +definition: $P(A)$ := {$B : B⊂ A$} -P(A)는 집합을 원소로 같는 집합 임으로 A가 P(A)에 포함됨을 보이고 싶을 때, $A \sub P(A)$가 아닌 $A \in P(A)$로 작성해야 한다. +P(A)는 집합을 원소로 같는 집합 임으로 A가 P(A)에 포함됨을 보이고 싶을 때, $A ⊂ P(A)$가 아닌 $A \in P(A)$로 작성해야 한다. 집합의 원소는 집합이 될 수 있고, 함수도 될 수 있다. 따라서 집합과 원소 관계를 보는 시야를 좁게 보는 것이 아닌 넓게 봐야 한다. From 57261735bb1ed0ea4ce8d0cb5e13685fefd0d0e4 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 05:32:11 +0900 Subject: [PATCH 090/159] Rename 2025-12-19-set_2.md to 2025-12-30-set_3.md --- _posts/{2025-12-19-set_2.md => 2025-12-30-set_3.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename _posts/{2025-12-19-set_2.md => 2025-12-30-set_3.md} (100%) diff --git a/_posts/2025-12-19-set_2.md b/_posts/2025-12-30-set_3.md similarity index 100% rename from _posts/2025-12-19-set_2.md rename to _posts/2025-12-30-set_3.md From 75ff47c5303469b8420316ba5fb450f6effec17e Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 05:37:16 +0900 Subject: [PATCH 091/159] Update 2025-12-30-set_3.md --- _posts/2025-12-30-set_3.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-30-set_3.md b/_posts/2025-12-30-set_3.md index 30344bd67f5b..da27536db6bc 100644 --- a/_posts/2025-12-30-set_3.md +++ b/_posts/2025-12-30-set_3.md @@ -61,4 +61,4 @@ definition: $P(A)$ := {$B : B⊂ A$} P(A)는 집합을 원소로 같는 집합 임으로 A가 P(A)에 포함됨을 보이고 싶을 때, $A ⊂ P(A)$가 아닌 $A \in P(A)$로 작성해야 한다. -집합의 원소는 집합이 될 수 있고, 함수도 될 수 있다. 따라서 집합과 원소 관계를 보는 시야를 좁게 보는 것이 아닌 넓게 봐야 한다. +집합의 원소는 집합이 될 수 있고, 함수도 될 수 있다. 따라서 집합과 원소 관계를 보는 시야를 좁게 보는 것이 아닌 넓게 봐야 한다.. From 99ffc64b9d5048ba46640c8ab3c5fd4c1f6c0848 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 06:17:39 +0900 Subject: [PATCH 092/159] Delete _posts/2025-12-30-set_3.md --- _posts/2025-12-30-set_3.md | 64 -------------------------------------- 1 file changed, 64 deletions(-) delete mode 100644 _posts/2025-12-30-set_3.md diff --git a/_posts/2025-12-30-set_3.md b/_posts/2025-12-30-set_3.md deleted file mode 100644 index da27536db6bc..000000000000 --- a/_posts/2025-12-30-set_3.md +++ /dev/null @@ -1,64 +0,0 @@ ---- -layout: single -title: "2.Set theory for Linear Algebra(SubSet/PowerSet/집합의 상등/Basic Operation)" -categories: Math(Linear_Algebra) -tag: Set -toc: true -author_profile: false -sidebar: - nav: "docs" -use_math: true ---- - -## Sub Set: -어떤 Object의 특징을 가져와 일부, 혹은 전체를 할당해 주는 것을 해당 Object의 sub라고 표현한다. - -집합으로 예를 들면, 집합의 특징은 오직 원소 임으로 이러한 특징 원소를 일부, 혹은 전부 가져오는 것으로 볼 수 있다. - - - -Definition: $A ⊂ B$  $\Leftrightarrow$  $\forall x \in A,$ $x \in B$. (모든 A의 원소인 x는 B의 원소이다. 즉, A는 B의 subset이다.) - -subset의 정의 때문에 $A = B$일 수 있다. 하지만 $A = B$가 아님을 명시하고 싶은 경우 $A⊊B$라고 작성하면 된다.(이를 proper subset이라고 한다.) - - - -ex) 두 집합 $A$ = {$2n, n \in \mathbb{N}$}, $B$ = {$4n, n \in \mathbb{N}$}가 있을 때, $B ⊂ A$임은 자명하다.(A는 2의 배수이고, B는 4의 배수이기 때문에 B의 원소가 다시 A의 원소가 되기 때문이다.) - -B는 A의 subset이기 때문에 A의 특징을 물려받았을 것이다. 이 특징은 2 * $n$꼴, 즉 2 * 정수라는 특징이다. - -B또한 4n을 2 * 2n으로 볼 수 있고, 이 또한 2 * 정수 꼴이다. 따라서 B는 A의 특징을 물려받고 있음으로 $A ⊂ B$라고 볼 수 있다.. - - - - - - - - -## 집합의 상등: -국어사전에서 “같다”의 정의는 “서로 다르지 않고 하나이다.”이다. 수학에서 서로 다르지 않다는 것은 특징이 모두 동일하다는 것으로 볼 수 있다. - -집합의 특징이라 함은 원소가 유일하기 때문에 두 집합이 같다는 것은 두 집합의 원소가 서로 같다는 말이 된다. - -따라서 집합에서의 같음은 서로의 특징에 따라 관계를 나타내는 subset을 활용해서 보일 수 있다. - -definition: $A = B$ $\Leftrightarrow$ $A ⊂ B$ $and$ $B⊂ A$(두 집합의 관계가 서로가 서로의 subset이라는 것은 두 집합의 특징이 같다고 이해할 수 있으며, 집합에서의 특징은 원소 임으로 두 집합의 원소가 같음을 알 수 있다.) - -서로가 서로의 subset임으로 $A = B$이다. (이렇게 Subset을 활용해 집합의 같음을 보이는 것을 double inclusion이라고 한다.) - - - - - - - - -## Power Set: -집합 A가 주어졌을 때, A에 대한 모든 부분집합의 집합을 Power set이라고 한다. - -definition: $P(A)$ := {$B : B⊂ A$} - -P(A)는 집합을 원소로 같는 집합 임으로 A가 P(A)에 포함됨을 보이고 싶을 때, $A ⊂ P(A)$가 아닌 $A \in P(A)$로 작성해야 한다. - -집합의 원소는 집합이 될 수 있고, 함수도 될 수 있다. 따라서 집합과 원소 관계를 보는 시야를 좁게 보는 것이 아닌 넓게 봐야 한다.. From c06146c250e6c206c54bd7e47310c9c20fa83e80 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 06:24:20 +0900 Subject: [PATCH 093/159] Create 2025-12-30-set_3.md --- _posts/2025-12-30-set_3.md | 96 ++++++++++++++++++++++++++++++++++++++ 1 file changed, 96 insertions(+) create mode 100644 _posts/2025-12-30-set_3.md diff --git a/_posts/2025-12-30-set_3.md b/_posts/2025-12-30-set_3.md new file mode 100644 index 000000000000..422ab1090b36 --- /dev/null +++ b/_posts/2025-12-30-set_3.md @@ -0,0 +1,96 @@ +--- +layout: single +title: "2.Set theory for Linear Algebra(SubSet/PowerSet/집합의 상등/Basic Operation)" +categories: Math(Linear_Algebra) +tag: Set +toc: true +author_profile: false +sidebar: + nav: "docs" +use_math: true +--- + + + +### SubSet(부분집합): + +어떤 Object의 특징을 가져와 일부, 혹은 전체를 할당해 주는 것을 해당 Object의 sub라고 표현한다. + +집합으로 예를 들면, 집합의 특징은 오직 원소 임으로 이러한 특징 원소를 일부, 혹은 전부 가져오는 것으로 볼 수 있다. + +Definition: $A \sub B$  $\Leftrightarrow$  $\forall x \in A,$ $x \in B$. (모든 A의 원소인 x는 B의 원소이다. 즉, A는 B의 subset이다.) + +subset의 정의 때문에 $A = B$일 수 있다. 하지만 $A = B$가 아님을 명시하고 싶은 경우 $A⊊B$라고 작성하면 된다. + +ex) 두 집합 $A$ = {$2n, n \in \mathbb{N}$}, $B$ = {$4n, n \in \mathbb{N}$}가 있을 때, $B \sub A$임은 자명하다.(A는 2의 배수이고, B는 4의 배수이기 때문에 B의 원소가 다시 A의 원소가 되기 때문이다.) + +B는 A의 subset이기 때문에 A의 특징을 물려받았을 것이다. 이 특징은 2 * $n$꼴, 즉 2 * 정수라는 특징이다. + +B또한 4n을 2 * 2n으로 볼 수 있고, 이 또한 2 * 정수 꼴이다. 따라서 B는 A의 특징을 물려받고 있음으로 $A \sub B$라고 볼 수 있다. + + + + + + +### 집합의 상등: + +국어사전에서 “같다”의 정의는 “서로 다르지 않고 하나이다.”이다. 수학에서 서로 다르지 않다는 것은 특징이 모두 동일하다는 것으로 볼 수 있다. + +집합의 특징이라 함은 원소가 유일하기 때문에 두 집합이 같다는 것은 두 집합의 원소가 서로 같다는 말이 된다. + +따라서 집합에서의 같음은 서로의 특징에 따라 관계를 나타내는 subset을 활용해서 보일 수 있다. + +definition: $A = B$ $\Leftrightarrow$ $A \sub B$ $and$ $B\sub A$(두 집합의 관계가 서로가 서로의 subset이라는 것은 두 집합의 특징이 같다고 이해할 수 있으며, 집합에서의 특징은 원소 임으로 두 집합의 원소가 같음을 알 수 있다.) + +서로가 서로의 subset임으로 $A = B$이다. 를 보이는 것을 double inclusion이라고 한다. + + + + + +### Power set: + +집합 A가 주어졌을 때, A에 대한 모든 부분집합의 집합을 Power set이라고 한다. + +definition: $P(A)$ := {$B : B\sub A$} + +P(A)는 집합을 원소로 같는 집합 임으로 A가 P(A)에 포함됨을 보이고 싶을 때, $A \sub P(A)$가 아닌 $A \in P(A)$로 작성해야 한다. + +집합의 원소는 집합이 될 수 있고, 함수도 될 수 있다. 따라서 집합과 원소 관계를 보는 시야를 좁게 보는 것이 아닌 넓게 봐야 한다. + + + + + +### Union: + +Union은 합집합 이라는 말도 있지만 “결합”이라는 뜻도 있다. + +즉, 집합들을 결합 한다는 뜻으로 이해하면 좋다. + +definition: $A \cup B$ := {$x \in X : x \in A$ $or$ $x \in B$} + +x는 A에 있거나 혹은 B의 원소로 있으면 $A \cup B$의 원소가 된다. 그럼으로 x는 A와 B 둘 중 한 곳에만 있거나, 두 집합의 원소일 경우에도 합집합의 원소가 될 수 있다. + + + + + +## intersection: + +n개의 집합이 주어졌을 때, 해당 집합들을 intersection 한다는 것은 모든 집합들이 포함하고 있는 원소를 모아놓은 집합이다. + +definition: $A \cap B$ := {$x \in X : x \in A$ $and$ $x \in B$} + +x는 A와 B의 원소로 있어야만 $A \cap B$의 원소가 될 수 있다. 즉, x는 A, B 둘 중 한 곳에만 있으면 안되고, 두 집합에 속해있어야 한다. + + + + + +## catesian product: + +catesian product는 순서쌍을 가지는 집합이라고 볼 수 있다. 두 집합 $a \in A, b \in B$가 주어졌을 때, 이 둘을 catesian product하면 {($a_{1}, b_{1}$), ($a_{2}, b_{2}$), …..} 을 원소로 갖는 집합이 된다. + +dfinition: $A \times B$ := {$(a,b):$ $a \in A, b \in B$} From 306f88b24166f768d774971c247e6f52327ae17b Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 06:31:15 +0900 Subject: [PATCH 094/159] Update 2025-12-29-first.md --- _posts/2025-12-29-first.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/_posts/2025-12-29-first.md b/_posts/2025-12-29-first.md index a3b17c618bbe..59ecc8189462 100644 --- a/_posts/2025-12-29-first.md +++ b/_posts/2025-12-29-first.md @@ -7,6 +7,6 @@ toc: true author_profile: false sidebar: nav: "docs" +use_math: false --- -# 첫 번째 목차 -앞으로 약 1년간은 집합 + 선형대수 관련 내용을 작성하겠습니다. +AI와 관련된 정보, 이론들을 정리하겠습니다. From 2c01193db63f39d504bb60a5769a47e22022821c Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 06:33:32 +0900 Subject: [PATCH 095/159] Update 2025-12-30-set_3.md --- _posts/2025-12-30-set_3.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/_posts/2025-12-30-set_3.md b/_posts/2025-12-30-set_3.md index 422ab1090b36..005fd1ebaa02 100644 --- a/_posts/2025-12-30-set_3.md +++ b/_posts/2025-12-30-set_3.md @@ -1,8 +1,8 @@ --- layout: single title: "2.Set theory for Linear Algebra(SubSet/PowerSet/집합의 상등/Basic Operation)" -categories: Math(Linear_Algebra) -tag: Set +categories: Math +tag: [Set, Linear_Algebra] toc: true author_profile: false sidebar: From e0e3958822ebffeae3096708363634aae135afd6 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 06:38:56 +0900 Subject: [PATCH 096/159] Update 2025-12-30-set_3.md --- _posts/2025-12-30-set_3.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-30-set_3.md b/_posts/2025-12-30-set_3.md index 005fd1ebaa02..1e2df35dfbc0 100644 --- a/_posts/2025-12-30-set_3.md +++ b/_posts/2025-12-30-set_3.md @@ -7,7 +7,7 @@ toc: true author_profile: false sidebar: nav: "docs" -use_math: true +use_math: false --- From 9d7bfa736d0c0795db234a99b8775ad1a4adfa11 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 06:41:44 +0900 Subject: [PATCH 097/159] Update _config.yml --- _config.yml | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/_config.yml b/_config.yml index 9e8e27160860..5aa34b385ebb 100644 --- a/_config.yml +++ b/_config.yml @@ -147,9 +147,9 @@ footer: # - label: "Facebook" # icon: "fab fa-fw fa-facebook-square" # # url: - - label: "Email" - icon: "fas fa-fw fa-envelope-square" - url: "ks.hwang.0313@gmail.com" + # - label: "Email" + # icon: "fas fa-fw fa-envelope-square" + # url: "ks.hwang.0313@gmail.com" - label: "GitHub" icon: "fab fa-fw fa-github" From e31df66b2a565c213de75a04a31d8fa9d65add3f Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 06:43:53 +0900 Subject: [PATCH 098/159] Update and rename 2025-12-30-set_3.md to 2026-12-30-set_3.md --- _posts/{2025-12-30-set_3.md => 2026-12-30-set_3.md} | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) rename _posts/{2025-12-30-set_3.md => 2026-12-30-set_3.md} (99%) diff --git a/_posts/2025-12-30-set_3.md b/_posts/2026-12-30-set_3.md similarity index 99% rename from _posts/2025-12-30-set_3.md rename to _posts/2026-12-30-set_3.md index 1e2df35dfbc0..005fd1ebaa02 100644 --- a/_posts/2025-12-30-set_3.md +++ b/_posts/2026-12-30-set_3.md @@ -7,7 +7,7 @@ toc: true author_profile: false sidebar: nav: "docs" -use_math: false +use_math: true --- From 723105a80edcc40f896178d4cd8e44dd4cbb8f14 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 06:45:29 +0900 Subject: [PATCH 099/159] Rename 2026-12-30-set_3.md to 2026-12-30-set.md --- _posts/{2026-12-30-set_3.md => 2026-12-30-set.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename _posts/{2026-12-30-set_3.md => 2026-12-30-set.md} (100%) diff --git a/_posts/2026-12-30-set_3.md b/_posts/2026-12-30-set.md similarity index 100% rename from _posts/2026-12-30-set_3.md rename to _posts/2026-12-30-set.md From 068ace16514c663681a8ac0251dff293600b98e5 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 06:46:56 +0900 Subject: [PATCH 100/159] Update 2026-12-30-set.md --- _posts/2026-12-30-set.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2026-12-30-set.md b/_posts/2026-12-30-set.md index 005fd1ebaa02..39a52ffbd307 100644 --- a/_posts/2026-12-30-set.md +++ b/_posts/2026-12-30-set.md @@ -1,6 +1,6 @@ --- layout: single -title: "2.Set theory for Linear Algebra(SubSet/PowerSet/집합의 상등/Basic Operation)" +title: "2.Set theory for Linear Algebra(SubSet/PowerSet/집합의_상등/Basic_Operation)" categories: Math tag: [Set, Linear_Algebra] toc: true From 20ef990fad1e5e8a09612edfcab96dc28724be47 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 06:49:36 +0900 Subject: [PATCH 101/159] Update and rename 2026-12-30-set.md to 2025-12-29-set.md --- _posts/{2026-12-30-set.md => 2025-12-29-set.md} | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) rename _posts/{2026-12-30-set.md => 2025-12-29-set.md} (96%) diff --git a/_posts/2026-12-30-set.md b/_posts/2025-12-29-set.md similarity index 96% rename from _posts/2026-12-30-set.md rename to _posts/2025-12-29-set.md index 39a52ffbd307..42189148afa7 100644 --- a/_posts/2026-12-30-set.md +++ b/_posts/2025-12-29-set.md @@ -1,13 +1,13 @@ --- layout: single -title: "2.Set theory for Linear Algebra(SubSet/PowerSet/집합의_상등/Basic_Operation)" +title: "AI를 위한 수학 블로그 입니다..." categories: Math -tag: [Set, Linear_Algebra] +tag: plan toc: true author_profile: false sidebar: nav: "docs" -use_math: true +use_math: false --- From 480eb66fee3ea4477275f5a02e27cd534af27c67 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 06:51:32 +0900 Subject: [PATCH 102/159] Rename 2025-12-29-set.md to 2025-12-30-set3.md --- _posts/{2025-12-29-set.md => 2025-12-30-set3.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename _posts/{2025-12-29-set.md => 2025-12-30-set3.md} (100%) diff --git a/_posts/2025-12-29-set.md b/_posts/2025-12-30-set3.md similarity index 100% rename from _posts/2025-12-29-set.md rename to _posts/2025-12-30-set3.md From f02106435539a9d9b88a2ca9ffa3d42c3bf9b9fb Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 06:52:26 +0900 Subject: [PATCH 103/159] Rename 2025-12-30-set3.md to 2025-12-31-set3.md --- _posts/{2025-12-30-set3.md => 2025-12-31-set3.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename _posts/{2025-12-30-set3.md => 2025-12-31-set3.md} (100%) diff --git a/_posts/2025-12-30-set3.md b/_posts/2025-12-31-set3.md similarity index 100% rename from _posts/2025-12-30-set3.md rename to _posts/2025-12-31-set3.md From e72f9279e72315538c37d198c8642a6c0d2cf714 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 06:53:16 +0900 Subject: [PATCH 104/159] Update and rename 2025-12-31-set3.md to 2025-12-29-set3.md --- _posts/{2025-12-31-set3.md => 2025-12-29-set3.md} | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) rename _posts/{2025-12-31-set3.md => 2025-12-29-set3.md} (80%) diff --git a/_posts/2025-12-31-set3.md b/_posts/2025-12-29-set3.md similarity index 80% rename from _posts/2025-12-31-set3.md rename to _posts/2025-12-29-set3.md index 42189148afa7..be0459712df7 100644 --- a/_posts/2025-12-31-set3.md +++ b/_posts/2025-12-29-set3.md @@ -18,15 +18,15 @@ use_math: false 집합으로 예를 들면, 집합의 특징은 오직 원소 임으로 이러한 특징 원소를 일부, 혹은 전부 가져오는 것으로 볼 수 있다. -Definition: $A \sub B$  $\Leftrightarrow$  $\forall x \in A,$ $x \in B$. (모든 A의 원소인 x는 B의 원소이다. 즉, A는 B의 subset이다.) +Definition: $A ⊂ B$  $\Leftrightarrow$  $\forall x \in A,$ $x \in B$. (모든 A의 원소인 x는 B의 원소이다. 즉, A는 B의 subset이다.) subset의 정의 때문에 $A = B$일 수 있다. 하지만 $A = B$가 아님을 명시하고 싶은 경우 $A⊊B$라고 작성하면 된다. -ex) 두 집합 $A$ = {$2n, n \in \mathbb{N}$}, $B$ = {$4n, n \in \mathbb{N}$}가 있을 때, $B \sub A$임은 자명하다.(A는 2의 배수이고, B는 4의 배수이기 때문에 B의 원소가 다시 A의 원소가 되기 때문이다.) +ex) 두 집합 $A$ = {$2n, n \in \mathbb{N}$}, $B$ = {$4n, n \in \mathbb{N}$}가 있을 때, $B ⊂ A$임은 자명하다.(A는 2의 배수이고, B는 4의 배수이기 때문에 B의 원소가 다시 A의 원소가 되기 때문이다.) B는 A의 subset이기 때문에 A의 특징을 물려받았을 것이다. 이 특징은 2 * $n$꼴, 즉 2 * 정수라는 특징이다. -B또한 4n을 2 * 2n으로 볼 수 있고, 이 또한 2 * 정수 꼴이다. 따라서 B는 A의 특징을 물려받고 있음으로 $A \sub B$라고 볼 수 있다. +B또한 4n을 2 * 2n으로 볼 수 있고, 이 또한 2 * 정수 꼴이다. 따라서 B는 A의 특징을 물려받고 있음으로 $A ⊂ B$라고 볼 수 있다. @@ -41,7 +41,7 @@ B또한 4n을 2 * 2n으로 볼 수 있고, 이 또한 2 * 정수 꼴이다. 따 따라서 집합에서의 같음은 서로의 특징에 따라 관계를 나타내는 subset을 활용해서 보일 수 있다. -definition: $A = B$ $\Leftrightarrow$ $A \sub B$ $and$ $B\sub A$(두 집합의 관계가 서로가 서로의 subset이라는 것은 두 집합의 특징이 같다고 이해할 수 있으며, 집합에서의 특징은 원소 임으로 두 집합의 원소가 같음을 알 수 있다.) +definition: $A = B$ $\Leftrightarrow$ $A ⊂ B$ $and$ $B⊂ A$(두 집합의 관계가 서로가 서로의 subset이라는 것은 두 집합의 특징이 같다고 이해할 수 있으며, 집합에서의 특징은 원소 임으로 두 집합의 원소가 같음을 알 수 있다.) 서로가 서로의 subset임으로 $A = B$이다. 를 보이는 것을 double inclusion이라고 한다. @@ -53,9 +53,9 @@ definition: $A = B$ $\Leftrightarrow$ $A \sub B$ $and$ $B\sub A$(두 집합의 집합 A가 주어졌을 때, A에 대한 모든 부분집합의 집합을 Power set이라고 한다. -definition: $P(A)$ := {$B : B\sub A$} +definition: $P(A)$ := {$B : B⊂ A$} -P(A)는 집합을 원소로 같는 집합 임으로 A가 P(A)에 포함됨을 보이고 싶을 때, $A \sub P(A)$가 아닌 $A \in P(A)$로 작성해야 한다. +P(A)는 집합을 원소로 같는 집합 임으로 A가 P(A)에 포함됨을 보이고 싶을 때, $A ⊂ P(A)$가 아닌 $A \in P(A)$로 작성해야 한다. 집합의 원소는 집합이 될 수 있고, 함수도 될 수 있다. 따라서 집합과 원소 관계를 보는 시야를 좁게 보는 것이 아닌 넓게 봐야 한다. From 4491fb0b12615c82709e8200062cbbfaeeb70baf Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 06:55:52 +0900 Subject: [PATCH 105/159] Update and rename 2025-12-29-set3.md to 2025-12-29-set_3.md --- _posts/{2025-12-29-set3.md => 2025-12-29-set_3.md} | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) rename _posts/{2025-12-29-set3.md => 2025-12-29-set_3.md} (96%) diff --git a/_posts/2025-12-29-set3.md b/_posts/2025-12-29-set_3.md similarity index 96% rename from _posts/2025-12-29-set3.md rename to _posts/2025-12-29-set_3.md index be0459712df7..33d336f55bd3 100644 --- a/_posts/2025-12-29-set3.md +++ b/_posts/2025-12-29-set_3.md @@ -1,8 +1,8 @@ --- layout: single -title: "AI를 위한 수학 블로그 입니다..." +title: "2.Set theory for Linear Algebra(SubSet/PowerSet/집합의 상등/Basic Operation)" categories: Math -tag: plan +tag: [Linear_Algebra, Set_theory] toc: true author_profile: false sidebar: From 26de157757b102411c3405a1629ba51255dd6559 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 06:56:56 +0900 Subject: [PATCH 106/159] Create 2026-01-01-dd.md --- _posts/2026-01-01-dd.md | 12 ++++++++++++ 1 file changed, 12 insertions(+) create mode 100644 _posts/2026-01-01-dd.md diff --git a/_posts/2026-01-01-dd.md b/_posts/2026-01-01-dd.md new file mode 100644 index 000000000000..c9bfbb49047a --- /dev/null +++ b/_posts/2026-01-01-dd.md @@ -0,0 +1,12 @@ +--- +layout: single +title: "AI를 위한 수학 블로그 입니다...." +categories: Math +tag: plan +toc: true +author_profile: false +sidebar: + nav: "docs" +use_math: false +--- +dfadf From e02fca3048b4330fbc6d5ae84311cb2e128d7be3 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 06:58:11 +0900 Subject: [PATCH 107/159] Rename 2026-01-01-dd.md to 2026-1-11-dd.md --- _posts/{2026-01-01-dd.md => 2026-1-11-dd.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename _posts/{2026-01-01-dd.md => 2026-1-11-dd.md} (100%) diff --git a/_posts/2026-01-01-dd.md b/_posts/2026-1-11-dd.md similarity index 100% rename from _posts/2026-01-01-dd.md rename to _posts/2026-1-11-dd.md From 67326e4933f068cd9073c4112842e743327a11f5 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 07:00:02 +0900 Subject: [PATCH 108/159] Update _config.yml --- _config.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_config.yml b/_config.yml index 5aa34b385ebb..9630b7d50f7f 100644 --- a/_config.yml +++ b/_config.yml @@ -329,4 +329,4 @@ defaults: comments: true share: false related: true - show_date: true + show_date: false From ab2fe32443fcf15cd9afabc9b7a0b2b575a3b274 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 07:04:24 +0900 Subject: [PATCH 109/159] Delete _posts/2026-1-11-dd.md --- _posts/2026-1-11-dd.md | 12 ------------ 1 file changed, 12 deletions(-) delete mode 100644 _posts/2026-1-11-dd.md diff --git a/_posts/2026-1-11-dd.md b/_posts/2026-1-11-dd.md deleted file mode 100644 index c9bfbb49047a..000000000000 --- a/_posts/2026-1-11-dd.md +++ /dev/null @@ -1,12 +0,0 @@ ---- -layout: single -title: "AI를 위한 수학 블로그 입니다...." -categories: Math -tag: plan -toc: true -author_profile: false -sidebar: - nav: "docs" -use_math: false ---- -dfadf From 8bc07869b041865442c4486d347b9cc2576cf005 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 07:05:11 +0900 Subject: [PATCH 110/159] Update 2025-12-29-set_3.md --- _posts/2025-12-29-set_3.md | 6 ++++++ 1 file changed, 6 insertions(+) diff --git a/_posts/2025-12-29-set_3.md b/_posts/2025-12-29-set_3.md index 33d336f55bd3..666c40354793 100644 --- a/_posts/2025-12-29-set_3.md +++ b/_posts/2025-12-29-set_3.md @@ -94,3 +94,9 @@ x는 A와 B의 원소로 있어야만 $A \cap B$의 원소가 될 수 있다. catesian product는 순서쌍을 가지는 집합이라고 볼 수 있다. 두 집합 $a \in A, b \in B$가 주어졌을 때, 이 둘을 catesian product하면 {($a_{1}, b_{1}$), ($a_{2}, b_{2}$), …..} 을 원소로 갖는 집합이 된다. dfinition: $A \times B$ := {$(a,b):$ $a \in A, b \in B$} + + +### 작성한 날자: + +2025-12-30 + From 64babbd593c8a503fac24234b7a97fbb582c2e79 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 07:07:51 +0900 Subject: [PATCH 111/159] Update 2025-12-29-set_3.md --- _posts/2025-12-29-set_3.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/_posts/2025-12-29-set_3.md b/_posts/2025-12-29-set_3.md index 666c40354793..9e522cc39a55 100644 --- a/_posts/2025-12-29-set_3.md +++ b/_posts/2025-12-29-set_3.md @@ -77,7 +77,7 @@ x는 A에 있거나 혹은 B의 원소로 있으면 $A \cup B$의 원소가 된 -## intersection: +### Intersection: n개의 집합이 주어졌을 때, 해당 집합들을 intersection 한다는 것은 모든 집합들이 포함하고 있는 원소를 모아놓은 집합이다. @@ -89,7 +89,7 @@ x는 A와 B의 원소로 있어야만 $A \cap B$의 원소가 될 수 있다. -## catesian product: +### Cartesian Product: catesian product는 순서쌍을 가지는 집합이라고 볼 수 있다. 두 집합 $a \in A, b \in B$가 주어졌을 때, 이 둘을 catesian product하면 {($a_{1}, b_{1}$), ($a_{2}, b_{2}$), …..} 을 원소로 갖는 집합이 된다. From 094040cb7305c55b3292dd3cbd4241faa00e3910 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 07:11:26 +0900 Subject: [PATCH 112/159] Create 2016-07-20-writing-jekyll-posts.md 2015-01-03-static-site-generators.markdown --- ...sts.md 2015-01-03-static-site-generators.markdown | 12 ++++++++++++ 1 file changed, 12 insertions(+) create mode 100644 _posts/2016-07-20-writing-jekyll-posts.md 2015-01-03-static-site-generators.markdown diff --git a/_posts/2016-07-20-writing-jekyll-posts.md 2015-01-03-static-site-generators.markdown b/_posts/2016-07-20-writing-jekyll-posts.md 2015-01-03-static-site-generators.markdown new file mode 100644 index 000000000000..3a76b10e1364 --- /dev/null +++ b/_posts/2016-07-20-writing-jekyll-posts.md 2015-01-03-static-site-generators.markdown @@ -0,0 +1,12 @@ +--- +layout: single +title: "AI를 위한 수학 블로그 입니다dddd." +categories: Math +tag: plan +toc: true +author_profile: false +sidebar: + nav: "docs" +use_math: false +--- +AI와 관련된 정보, 이론들을 정리하겠습니다....... From 46c10731f9e87372277b55c824090929556e2f57 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 07:13:15 +0900 Subject: [PATCH 113/159] Rename 2016-07-20-writing-jekyll-posts.md 2015-01-03-static-site-generators.markdown to 2025-12-30-writing-jekyll-posts.md 2015-01-03-static-site-generators.markdown --- ...ng-jekyll-posts.md 2015-01-03-static-site-generators.markdown} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename _posts/{2016-07-20-writing-jekyll-posts.md 2015-01-03-static-site-generators.markdown => 2025-12-30-writing-jekyll-posts.md 2015-01-03-static-site-generators.markdown} (100%) diff --git a/_posts/2016-07-20-writing-jekyll-posts.md 2015-01-03-static-site-generators.markdown b/_posts/2025-12-30-writing-jekyll-posts.md 2015-01-03-static-site-generators.markdown similarity index 100% rename from _posts/2016-07-20-writing-jekyll-posts.md 2015-01-03-static-site-generators.markdown rename to _posts/2025-12-30-writing-jekyll-posts.md 2015-01-03-static-site-generators.markdown From 3f67ee3bd6ee16cd8b69490f79927d8811278884 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 07:15:25 +0900 Subject: [PATCH 114/159] Update _config.yml --- _config.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_config.yml b/_config.yml index 9630b7d50f7f..379716c2d290 100644 --- a/_config.yml +++ b/_config.yml @@ -325,7 +325,7 @@ defaults: values: layout: single author_profile: true - read_time: false + read_time: true comments: true share: false related: true From c09cd89638c793f5ec2873500bf13c654b103cec Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 07:18:48 +0900 Subject: [PATCH 115/159] Rename 2025-12-30-writing-jekyll-posts.md 2015-01-03-static-site-generators.markdown to 2026-01-01-writing-jekyll-posts.md 2015-01-03-static-site-generators.markup --- ...ting-jekyll-posts.md 2015-01-03-static-site-generators.markup} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename _posts/{2025-12-30-writing-jekyll-posts.md 2015-01-03-static-site-generators.markdown => 2026-01-01-writing-jekyll-posts.md 2015-01-03-static-site-generators.markup} (100%) diff --git a/_posts/2025-12-30-writing-jekyll-posts.md 2015-01-03-static-site-generators.markdown b/_posts/2026-01-01-writing-jekyll-posts.md 2015-01-03-static-site-generators.markup similarity index 100% rename from _posts/2025-12-30-writing-jekyll-posts.md 2015-01-03-static-site-generators.markdown rename to _posts/2026-01-01-writing-jekyll-posts.md 2015-01-03-static-site-generators.markup From f514f254adf1c26d5eb33b288b484a2356140a5f Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 07:19:04 +0900 Subject: [PATCH 116/159] Rename 2026-01-01-writing-jekyll-posts.md 2015-01-03-static-site-generators.markup to 2026-01-01-writing-jekyll-posts.md 2015-01-03-static-site-generators.md --- ...-writing-jekyll-posts.md 2015-01-03-static-site-generators.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename _posts/{2026-01-01-writing-jekyll-posts.md 2015-01-03-static-site-generators.markup => 2026-01-01-writing-jekyll-posts.md 2015-01-03-static-site-generators.md} (100%) diff --git a/_posts/2026-01-01-writing-jekyll-posts.md 2015-01-03-static-site-generators.markup b/_posts/2026-01-01-writing-jekyll-posts.md 2015-01-03-static-site-generators.md similarity index 100% rename from _posts/2026-01-01-writing-jekyll-posts.md 2015-01-03-static-site-generators.markup rename to _posts/2026-01-01-writing-jekyll-posts.md 2015-01-03-static-site-generators.md From ade4c67c24187396aadbd000b13d6babfc4fc9c1 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 07:22:24 +0900 Subject: [PATCH 117/159] Rename 2026-01-01-writing-jekyll-posts.md 2015-01-03-static-site-generators.md to 2026-12-29-writing-jekyll-posts.md 2015-01-03-static-site-generators.md --- ...-writing-jekyll-posts.md 2015-01-03-static-site-generators.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename _posts/{2026-01-01-writing-jekyll-posts.md 2015-01-03-static-site-generators.md => 2026-12-29-writing-jekyll-posts.md 2015-01-03-static-site-generators.md} (100%) diff --git a/_posts/2026-01-01-writing-jekyll-posts.md 2015-01-03-static-site-generators.md b/_posts/2026-12-29-writing-jekyll-posts.md 2015-01-03-static-site-generators.md similarity index 100% rename from _posts/2026-01-01-writing-jekyll-posts.md 2015-01-03-static-site-generators.md rename to _posts/2026-12-29-writing-jekyll-posts.md 2015-01-03-static-site-generators.md From 3d421ca2b47403a4521e1577fab0325b555b06b4 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 07:25:54 +0900 Subject: [PATCH 118/159] Rename 2026-12-29-writing-jekyll-posts.md 2015-01-03-static-site-generators.md to 2025-12-30-writing-jekyll-posts.md 2015-01-03-static-site-generators.md --- ...-writing-jekyll-posts.md 2015-01-03-static-site-generators.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename _posts/{2026-12-29-writing-jekyll-posts.md 2015-01-03-static-site-generators.md => 2025-12-30-writing-jekyll-posts.md 2015-01-03-static-site-generators.md} (100%) diff --git a/_posts/2026-12-29-writing-jekyll-posts.md 2015-01-03-static-site-generators.md b/_posts/2025-12-30-writing-jekyll-posts.md 2015-01-03-static-site-generators.md similarity index 100% rename from _posts/2026-12-29-writing-jekyll-posts.md 2015-01-03-static-site-generators.md rename to _posts/2025-12-30-writing-jekyll-posts.md 2015-01-03-static-site-generators.md From 817c9f95ccb438c0a4542760257fb146e63d8eb5 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 07:27:45 +0900 Subject: [PATCH 119/159] Update _config.yml --- _config.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_config.yml b/_config.yml index 379716c2d290..e2fd4effc426 100644 --- a/_config.yml +++ b/_config.yml @@ -329,4 +329,4 @@ defaults: comments: true share: false related: true - show_date: false + show_date: true From ebf416ea50419dacfbab5f864ac4e7f36cadedad Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 07:28:06 +0900 Subject: [PATCH 120/159] Rename 2025-12-29-first.md to 2025-12-28-first.md --- _posts/{2025-12-29-first.md => 2025-12-28-first.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename _posts/{2025-12-29-first.md => 2025-12-28-first.md} (100%) diff --git a/_posts/2025-12-29-first.md b/_posts/2025-12-28-first.md similarity index 100% rename from _posts/2025-12-29-first.md rename to _posts/2025-12-28-first.md From 55dfbb4bc4a6d507b09e931bf38fccc0d89b4bed Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 07:30:37 +0900 Subject: [PATCH 121/159] Rename 2025-12-28-first.md to 2025-12-29-first.md --- _posts/{2025-12-28-first.md => 2025-12-29-first.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename _posts/{2025-12-28-first.md => 2025-12-29-first.md} (100%) diff --git a/_posts/2025-12-28-first.md b/_posts/2025-12-29-first.md similarity index 100% rename from _posts/2025-12-28-first.md rename to _posts/2025-12-29-first.md From 53263a6e39bbda7ea6b908bd77ece6dbd20a6d3f Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 09:19:07 +0900 Subject: [PATCH 122/159] Update 2025-12-30-writing-jekyll-posts.md 2015-01-03-static-site-generators.md --- ...writing-jekyll-posts.md 2015-01-03-static-site-generators.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-30-writing-jekyll-posts.md 2015-01-03-static-site-generators.md b/_posts/2025-12-30-writing-jekyll-posts.md 2015-01-03-static-site-generators.md index 3a76b10e1364..12c0fd53a7f8 100644 --- a/_posts/2025-12-30-writing-jekyll-posts.md 2015-01-03-static-site-generators.md +++ b/_posts/2025-12-30-writing-jekyll-posts.md 2015-01-03-static-site-generators.md @@ -1,6 +1,6 @@ --- layout: single -title: "AI를 위한 수학 블로그 입니다dddd." +title: "AI를 위한 수학 블로그." categories: Math tag: plan toc: true From f604ca71ee72674d10a9bf7e64f9dfd9ed1c46ea Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 11:18:58 +0900 Subject: [PATCH 123/159] Delete _posts/2025-12-30-writing-jekyll-posts.md 2015-01-03-static-site-generators.md --- ...yll-posts.md 2015-01-03-static-site-generators.md | 12 ------------ 1 file changed, 12 deletions(-) delete mode 100644 _posts/2025-12-30-writing-jekyll-posts.md 2015-01-03-static-site-generators.md diff --git a/_posts/2025-12-30-writing-jekyll-posts.md 2015-01-03-static-site-generators.md b/_posts/2025-12-30-writing-jekyll-posts.md 2015-01-03-static-site-generators.md deleted file mode 100644 index 12c0fd53a7f8..000000000000 --- a/_posts/2025-12-30-writing-jekyll-posts.md 2015-01-03-static-site-generators.md +++ /dev/null @@ -1,12 +0,0 @@ ---- -layout: single -title: "AI를 위한 수학 블로그." -categories: Math -tag: plan -toc: true -author_profile: false -sidebar: - nav: "docs" -use_math: false ---- -AI와 관련된 정보, 이론들을 정리하겠습니다....... From 941e2c2bf13afb7c1edcfb8ee8a54939d6f21018 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Tue, 30 Dec 2025 11:34:42 +0900 Subject: [PATCH 124/159] Update and rename 2025-12-29-set_3.md to 2025-12-30-set_3.md --- ...025-12-29-set_3.md => 2025-12-30-set_3.md} | 25 +++++++++++++++---- 1 file changed, 20 insertions(+), 5 deletions(-) rename _posts/{2025-12-29-set_3.md => 2025-12-30-set_3.md} (81%) diff --git a/_posts/2025-12-29-set_3.md b/_posts/2025-12-30-set_3.md similarity index 81% rename from _posts/2025-12-29-set_3.md rename to _posts/2025-12-30-set_3.md index 9e522cc39a55..08638916d688 100644 --- a/_posts/2025-12-29-set_3.md +++ b/_posts/2025-12-30-set_3.md @@ -88,15 +88,30 @@ x는 A와 B의 원소로 있어야만 $A \cap B$의 원소가 될 수 있다. +### Set Difference: -### Cartesian Product: +set difference는 집합간의 차를 구한다. -catesian product는 순서쌍을 가지는 집합이라고 볼 수 있다. 두 집합 $a \in A, b \in B$가 주어졌을 때, 이 둘을 catesian product하면 {($a_{1}, b_{1}$), ($a_{2}, b_{2}$), …..} 을 원소로 갖는 집합이 된다. +definition: $A \smallsetminus B$ := {$x \in X : x \in A$ $and$ $x \notin B$}. ($A - B$라고 작성해도 괜찮음) -dfinition: $A \times B$ := {$(a,b):$ $a \in A, b \in B$} +x는 A의 원소이면서 B의 원소가 아닌 모든 원소가 될 수 있다. 즉, A라는 집합에 B라는 집합의 원소가 없도록 하는 “연산”을 수행한 집합이라고 볼 수 있다. + + + +### Complement: + +complement는 자신을 제외한 모든 집합이라고 볼 수 있다. + +definition: $A^c$ := $X \smallsetminus A$ ($X$는 전체 집합) +자신을 제외한 모든 원소를 모아놓은 집합임으로 complement를 사용할 때는 항상 전체 집합이 무엇인지 알 수 있는 환경에서만 사용해야한다. 전체 집합이 애매할 때 complement를 사용하면 혼란을 불러올 수 있다. 이 때문에 주의를 기울여서 사용해야 한다. -### 작성한 날자: -2025-12-30 + + +### Cartesian Product: + +catesian product는 순서쌍을 가지는 집합이라고 볼 수 있다. 두 집합 $a \in A, b \in B$가 주어졌을 때, 이 둘을 catesian product하면 {($a_{1}, b_{1}$), ($a_{2}, b_{2}$), …..} 을 원소로 갖는 집합이 된다. + +dfinition: $A \times B$ := {$(a,b):$ $a \in A, b \in B$} From e4ee32adf6d48429ce574a7fe827f90897ff95c8 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:06:27 +0900 Subject: [PATCH 125/159] Create dd --- images/dd | 1 + 1 file changed, 1 insertion(+) create mode 100644 images/dd diff --git a/images/dd b/images/dd new file mode 100644 index 000000000000..4bcfe98e640c --- /dev/null +++ b/images/dd @@ -0,0 +1 @@ +d From 6e1f5cf0960f2ae6d6a71e0893ab213203c43ba6 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:07:14 +0900 Subject: [PATCH 126/159] Add files via upload --- images/Truth_Table_Image_for_NOT.jpeg | Bin 0 -> 20714 bytes images/Truth_Table_for_AND.jpeg | Bin 0 -> 26742 bytes images/Truth_Table_for_Implication.jpeg | Bin 0 -> 33638 bytes images/Truth_Table_for_Implication2.jpeg | Bin 0 -> 62199 bytes 4 files changed, 0 insertions(+), 0 deletions(-) create mode 100644 images/Truth_Table_Image_for_NOT.jpeg create mode 100644 images/Truth_Table_for_AND.jpeg create mode 100644 images/Truth_Table_for_Implication.jpeg create mode 100644 images/Truth_Table_for_Implication2.jpeg diff --git a/images/Truth_Table_Image_for_NOT.jpeg b/images/Truth_Table_Image_for_NOT.jpeg new file mode 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zUQqMxgWTb`?Po(=4K7G!IU}vx_5p`ptvT3>!66L}h0!X3E#uQSp=*4qEQ|KB(8|LYqF`n~jTU0k5G literal 0 HcmV?d00001 From 95c05e56fade810f1dc2f158bd6038229b20b897 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:09:48 +0900 Subject: [PATCH 127/159] Update 2025-12-29-first.md --- _posts/2025-12-29-first.md | 1 + 1 file changed, 1 insertion(+) diff --git a/_posts/2025-12-29-first.md b/_posts/2025-12-29-first.md index 59ecc8189462..9eccdb8952eb 100644 --- a/_posts/2025-12-29-first.md +++ b/_posts/2025-12-29-first.md @@ -10,3 +10,4 @@ sidebar: use_math: false --- AI와 관련된 정보, 이론들을 정리하겠습니다. +![테스트]../images/Truth_Table_for_Implication2.jp From db60b04975286ba04c6973bf4b574e08e083cda7 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:12:11 +0900 Subject: [PATCH 128/159] Update 2025-12-29-first.md --- _posts/2025-12-29-first.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-29-first.md b/_posts/2025-12-29-first.md index 9eccdb8952eb..79ec9b7e3daa 100644 --- a/_posts/2025-12-29-first.md +++ b/_posts/2025-12-29-first.md @@ -10,4 +10,4 @@ sidebar: use_math: false --- AI와 관련된 정보, 이론들을 정리하겠습니다. -![테스트]../images/Truth_Table_for_Implication2.jp +![테스트](../images/Truth_Table_for_Implication2.jpeg) From c946b3186c2260988235e03705fd0381dfb435c5 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:16:13 +0900 Subject: [PATCH 129/159] Rename Truth_Table_for_Implication2.jpeg to Truth_Table_for_Implication2.jpeg --- .../Truth_Table_for_Implication2.jpeg | Bin 1 file changed, 0 insertions(+), 0 deletions(-) rename {images => images$(filename)}/Truth_Table_for_Implication2.jpeg (100%) diff --git a/images/Truth_Table_for_Implication2.jpeg b/images$(filename)/Truth_Table_for_Implication2.jpeg similarity index 100% rename from images/Truth_Table_for_Implication2.jpeg rename to images$(filename)/Truth_Table_for_Implication2.jpeg From 618832f408eff1abbe332d37b95124010d47fa7b Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:16:46 +0900 Subject: [PATCH 130/159] Rename images$(filename)/Truth_Table_for_Implication2.jpeg to images/$(filename)/Truth_Table_for_Implication2.jpeg --- .../$(filename)}/Truth_Table_for_Implication2.jpeg | Bin 1 file changed, 0 insertions(+), 0 deletions(-) rename {images$(filename) => images/$(filename)}/Truth_Table_for_Implication2.jpeg (100%) diff --git a/images$(filename)/Truth_Table_for_Implication2.jpeg b/images/$(filename)/Truth_Table_for_Implication2.jpeg similarity index 100% rename from images$(filename)/Truth_Table_for_Implication2.jpeg rename to images/$(filename)/Truth_Table_for_Implication2.jpeg From 0910e814c274caf2f0b40358cb377790b0c4905b Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:18:12 +0900 Subject: [PATCH 131/159] Update 2025-12-29-first.md --- _posts/2025-12-29-first.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-29-first.md b/_posts/2025-12-29-first.md index 79ec9b7e3daa..4deb823853a9 100644 --- a/_posts/2025-12-29-first.md +++ b/_posts/2025-12-29-first.md @@ -10,4 +10,4 @@ sidebar: use_math: false --- AI와 관련된 정보, 이론들을 정리하겠습니다. -![테스트](../images/Truth_Table_for_Implication2.jpeg) +![images](kiseonghwang.github.io/images/$(filename)/Truth_Table_for_Implication2.jpeg) From 0fd8f009c5420379905b2349160e872aed4e9570 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:18:53 +0900 Subject: [PATCH 132/159] Update 2025-12-29-first.md --- _posts/2025-12-29-first.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-29-first.md b/_posts/2025-12-29-first.md index 4deb823853a9..88f884361178 100644 --- a/_posts/2025-12-29-first.md +++ b/_posts/2025-12-29-first.md @@ -10,4 +10,4 @@ sidebar: use_math: false --- AI와 관련된 정보, 이론들을 정리하겠습니다. -![images](kiseonghwang.github.io/images/$(filename)/Truth_Table_for_Implication2.jpeg) +![images](/images/$(filename)/Truth_Table_for_Implication2.jpeg) From e03fcfbccffd13a0da35c92186c5ba93f2578527 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:20:34 +0900 Subject: [PATCH 133/159] Rename images/$(filename)/Truth_Table_for_Implication2.jpeg to images/2026-01-04 --- ...Truth_Table_for_Implication2.jpeg => 2026-01-04} | Bin 1 file changed, 0 insertions(+), 0 deletions(-) rename images/{$(filename)/Truth_Table_for_Implication2.jpeg => 2026-01-04} (100%) diff --git a/images/$(filename)/Truth_Table_for_Implication2.jpeg b/images/2026-01-04 similarity index 100% rename from images/$(filename)/Truth_Table_for_Implication2.jpeg rename to images/2026-01-04 From 54560f964e578f14a275e3050e32de0e4ae38c6c Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:20:59 +0900 Subject: [PATCH 134/159] Delete images/dd --- images/dd | 1 - 1 file changed, 1 deletion(-) delete mode 100644 images/dd diff --git a/images/dd b/images/dd deleted file mode 100644 index 4bcfe98e640c..000000000000 --- a/images/dd +++ /dev/null @@ -1 +0,0 @@ -d From fc2e548168bbd24ae25296cef0145620b90011ee Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:21:21 +0900 Subject: [PATCH 135/159] Delete images/Truth_Table_Image_for_NOT.jpeg --- images/Truth_Table_Image_for_NOT.jpeg | Bin 20714 -> 0 bytes 1 file changed, 0 insertions(+), 0 deletions(-) delete mode 100644 images/Truth_Table_Image_for_NOT.jpeg diff --git a/images/Truth_Table_Image_for_NOT.jpeg b/images/Truth_Table_Image_for_NOT.jpeg deleted file mode 100644 index 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zUQqMxgWTb`?Po(=4K7G!IU}vx_5p`ptvT3>!66L}h0!X3E#uQSp=*4qEQ|KB(8|LYqF`n~jTU0k5G From c204607072b5e8771674736b468b330bd16aad36 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:24:52 +0900 Subject: [PATCH 139/159] Create a --- images/2026-01-04/a | 1 + 1 file changed, 1 insertion(+) create mode 100644 images/2026-01-04/a diff --git a/images/2026-01-04/a b/images/2026-01-04/a new file mode 100644 index 000000000000..8b137891791f --- /dev/null +++ b/images/2026-01-04/a @@ -0,0 +1 @@ + From b6d8b8d976111059d1d1a400ae807e421651c38e Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:26:08 +0900 Subject: [PATCH 140/159] Create d --- images/2026-01-11/d | 1 + 1 file changed, 1 insertion(+) create mode 100644 images/2026-01-11/d diff --git a/images/2026-01-11/d b/images/2026-01-11/d new file mode 100644 index 000000000000..8b137891791f --- /dev/null +++ b/images/2026-01-11/d @@ -0,0 +1 @@ + From 1ef6d5021fcf3b273e8e73f567ab0f0573999fb3 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:26:30 +0900 Subject: [PATCH 141/159] Add files via upload --- .../2026-01-04/Truth_Table_Image_for_NOT.jpeg | Bin 0 -> 20714 bytes images/2026-01-04/Truth_Table_for_AND.jpeg | Bin 0 -> 26742 bytes .../2026-01-04/Truth_Table_for_Implication.jpeg | Bin 0 -> 33638 bytes .../Truth_Table_for_Implication2.jpeg | Bin 0 -> 62199 bytes 4 files changed, 0 insertions(+), 0 deletions(-) create mode 100644 images/2026-01-04/Truth_Table_Image_for_NOT.jpeg create mode 100644 images/2026-01-04/Truth_Table_for_AND.jpeg create mode 100644 images/2026-01-04/Truth_Table_for_Implication.jpeg create mode 100644 images/2026-01-04/Truth_Table_for_Implication2.jpeg diff --git a/images/2026-01-04/Truth_Table_Image_for_NOT.jpeg b/images/2026-01-04/Truth_Table_Image_for_NOT.jpeg new file mode 100644 index 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zUQqMxgWTb`?Po(=4K7G!IU}vx_5p`ptvT3>!66L}h0!X3E#uQSp=*4qEQ|KB(8|LYqF`n~jTU0k5G literal 0 HcmV?d00001 From 2bd7a20752ec8ba0e4ca962afd8431625c79fa20 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:26:57 +0900 Subject: [PATCH 142/159] Delete images/2026-01-04/a --- images/2026-01-04/a | 1 - 1 file changed, 1 deletion(-) delete mode 100644 images/2026-01-04/a diff --git a/images/2026-01-04/a b/images/2026-01-04/a deleted file mode 100644 index 8b137891791f..000000000000 --- a/images/2026-01-04/a +++ /dev/null @@ -1 +0,0 @@ - From 04555ea8739e9a02fb4be12056f4e0fb0c103fc3 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:27:16 +0900 Subject: [PATCH 143/159] Update 2025-12-29-first.md --- _posts/2025-12-29-first.md | 1 - 1 file changed, 1 deletion(-) diff --git a/_posts/2025-12-29-first.md b/_posts/2025-12-29-first.md index 88f884361178..59ecc8189462 100644 --- a/_posts/2025-12-29-first.md +++ b/_posts/2025-12-29-first.md @@ -10,4 +10,3 @@ sidebar: use_math: false --- AI와 관련된 정보, 이론들을 정리하겠습니다. -![images](/images/$(filename)/Truth_Table_for_Implication2.jpeg) From a94d6084a3ea2d611aa40109e491dfcc8e69df12 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:33:31 +0900 Subject: [PATCH 144/159] Create 2026-01-05-set_4.md --- _posts/2026-01-05-set_4.md | 82 ++++++++++++++++++++++++++++++++++++++ 1 file changed, 82 insertions(+) create mode 100644 _posts/2026-01-05-set_4.md diff --git a/_posts/2026-01-05-set_4.md b/_posts/2026-01-05-set_4.md new file mode 100644 index 000000000000..b590ca2380c3 --- /dev/null +++ b/_posts/2026-01-05-set_4.md @@ -0,0 +1,82 @@ +--- +layout: single +title: "3.Logical Operation" +categories: Math +tag: [Linear_Algebra, Set_theory] +toc: true +author_profile: false +sidebar: + nav: "docs" +use_math: true +--- + + +### Statement: + +“명확하게” 참, 거짓을 판단할 수 있는 문장을 말하며, 참, 거짓이 명확하지 않은 경우에는 Statement라고 할 수 없다. + +### Condition: + +명제 중에서도 미지수에 의해 참, 거짓이 바뀌는 명제를 말한다. + +e.g. $x \in X \, s.t. \, x>1$ ($x$의 값에 따라서 참, 거짓이 바뀜) + +### AND + +곱하기와 비슷하며 $p \wedge q$라고 작성한다. + +truth table을 보면 $p$와 $q$모두 참일 때 $p \wedge q$가 참이 된다. + +![AND](/images/2026-01-04/Truth_Table_for_AND.jpeg) + +### OR + +더하기와 비슷하며 $p \vee q$라고 표현한다. + +OR은 $p$또는 $q$가 참일 때 $p \vee q$가 참이다. 따라서 AND와 다르게 둘 중 하나만 참이면 결과가 참이 된다. + +### NOT + +$p$의 NOT은 $\neg p$라고 표현한다. + +$p$를 부정 즉, $p$와 반대로 가도록 만드는 연산이다. + +![OR](/images/2026-01-04/Truth_Table_for_OR.jpeg) + +### Implication + +두 조건 $p, q$가 주어졌을 때 $p$는 가정, $q$는 결론이라고 부르며, $p \rightarrow q$라고 표현한다. + +truth table로 표현하면 다음과 같고 가정이 거짓일 때는 전체가 참(결론을 신경쓰지 않음), 가정이 참을 때는 결론의 참, 거짓에 따른다. + +![Implication](/images/2026-01-04/Truth_Table_for_Implication.jpeg) + +Implication의 논리적 동치인 구조로 $\neg p \vee q$가 있다. (즉 $p \rightarrow q \equiv \neg p \vee q$이다.) + +이는 truth table로 간단하게 증명할 수 있다. + +![Implication2](/images/2026-01-04/Truth_Table_for_Implication2.jpeg) + +### Necessary Conditions + +충분조건이라고 말하며$p, q$의 truth set(진리집합) $P, Q$가 $P ⊂ Q$가 성립할 때 $p \rightarrow q$의 관계를 말한다. + +e.g. $p, q$의 truth set이 $P = \left\{ x: x > 3\right\}, Q = \left\{ x: x > 1\right\}$일 때 $P$의 어떤한 원소를 가져오더라도 $Q$의 조건을 만족함으로 이를 Necessary Conditions라고 한다. + +### Sufficient Conditions + +필요조건이라고 말하며 $p, q$의 truth set $P, Q$가 $P ⊂ Q$가 성립할 때 $q \rightarrow p$의 관계를 말한다.($q$의 truth set이 $p$의 truth set보다 크기 때문에 $q$라고 해서 $p$가 될거라는 보장은 없음) + +($p$가 $q$이기 위한 조건은 충분하니 Necessary, Conditions 반대로 $q$는 $p$이기 위한 조건이 충분치 않으니 Sufficient Conditions이다.) + +### Necessary and Sufficient Conditions + +$p \rightarrow q \: and \, q \rightarrow p$가 참임을 말하며, 두 조건의 truth set이 같은 경우에만 해당 명제가 참이 된다.($P ⊂ Q$, $Q ⊂ P$와 같다.) + +$p \leftrightarrow q$라고 표현하며, 영어로 if and only if → iff로도 표현한다. + + + + + + From 422d45402995021322b8c3e1d5ad87333e53804c Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:36:35 +0900 Subject: [PATCH 145/159] Update 2026-01-05-set_4.md --- _posts/2026-01-05-set_4.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/_posts/2026-01-05-set_4.md b/_posts/2026-01-05-set_4.md index b590ca2380c3..1753170c080d 100644 --- a/_posts/2026-01-05-set_4.md +++ b/_posts/2026-01-05-set_4.md @@ -61,7 +61,7 @@ Implication의 논리적 동치인 구조로 $\neg p \vee q$가 있다. (즉 $p 충분조건이라고 말하며$p, q$의 truth set(진리집합) $P, Q$가 $P ⊂ Q$가 성립할 때 $p \rightarrow q$의 관계를 말한다. -e.g. $p, q$의 truth set이 $P = \left\{ x: x > 3\right\}, Q = \left\{ x: x > 1\right\}$일 때 $P$의 어떤한 원소를 가져오더라도 $Q$의 조건을 만족함으로 이를 Necessary Conditions라고 한다. +e.g. $p, q$의 truth set이 $P = {\{ x: x > 3\right\}, Q = {\{ x: x > 1\right\}$일 때 $P$의 어떤한 원소를 가져오더라도 $Q$의 조건을 만족함으로 이를 Necessary Conditions라고 한다. ### Sufficient Conditions @@ -73,7 +73,7 @@ e.g. $p, q$의 truth set이 $P = \left\{ x: x > 3\right\}, Q = \left\{ x: x > 1\ $p \rightarrow q \: and \, q \rightarrow p$가 참임을 말하며, 두 조건의 truth set이 같은 경우에만 해당 명제가 참이 된다.($P ⊂ Q$, $Q ⊂ P$와 같다.) -$p \leftrightarrow q$라고 표현하며, 영어로 if and only if → iff로도 표현한다. +$p {rightarrow q$라고 표현하며, 영어로 if and only if → iff로도 표현한다. From 532f4294fb9b51b6e2584dba19c0fa1ca18db361 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:43:29 +0900 Subject: [PATCH 146/159] Update 2026-01-05-set_4.md --- _posts/2026-01-05-set_4.md | 37 +++++++++---------------------------- 1 file changed, 9 insertions(+), 28 deletions(-) diff --git a/_posts/2026-01-05-set_4.md b/_posts/2026-01-05-set_4.md index 1753170c080d..68240a43c1e2 100644 --- a/_posts/2026-01-05-set_4.md +++ b/_posts/2026-01-05-set_4.md @@ -1,16 +1,3 @@ ---- -layout: single -title: "3.Logical Operation" -categories: Math -tag: [Linear_Algebra, Set_theory] -toc: true -author_profile: false -sidebar: - nav: "docs" -use_math: true ---- - - ### Statement: “명확하게” 참, 거짓을 판단할 수 있는 문장을 말하며, 참, 거짓이 명확하지 않은 경우에는 Statement라고 할 수 없다. @@ -27,7 +14,7 @@ e.g. $x \in X \, s.t. \, x>1$ ($x$의 값에 따라서 참, 거짓이 바뀜) truth table을 보면 $p$와 $q$모두 참일 때 $p \wedge q$가 참이 된다. -![AND](/images/2026-01-04/Truth_Table_for_AND.jpeg) +![KakaoTalk_Photo_2026-01-04-16-08-08.jpeg](attachment:2ce9d65e-2d65-4d87-9d0e-fb18bd6e2fd2:KakaoTalk_Photo_2026-01-04-16-08-08.jpeg) ### OR @@ -41,7 +28,7 @@ $p$의 NOT은 $\neg p$라고 표현한다. $p$를 부정 즉, $p$와 반대로 가도록 만드는 연산이다. -![OR](/images/2026-01-04/Truth_Table_for_OR.jpeg) +![KakaoTalk_Photo_2026-01-04-16-17-19.jpeg](attachment:0c9d668e-a64d-495c-851f-f09c5cc370bc:KakaoTalk_Photo_2026-01-04-16-17-19.jpeg) ### Implication @@ -49,34 +36,28 @@ $p$를 부정 즉, $p$와 반대로 가도록 만드는 연산이다. truth table로 표현하면 다음과 같고 가정이 거짓일 때는 전체가 참(결론을 신경쓰지 않음), 가정이 참을 때는 결론의 참, 거짓에 따른다. -![Implication](/images/2026-01-04/Truth_Table_for_Implication.jpeg) +![Truth_Table_for_Implication.jpeg](attachment:2e9885c8-60eb-497e-a87c-53b1b5feabd5:Truth_Table_for_Implication.jpeg) Implication의 논리적 동치인 구조로 $\neg p \vee q$가 있다. (즉 $p \rightarrow q \equiv \neg p \vee q$이다.) 이는 truth table로 간단하게 증명할 수 있다. -![Implication2](/images/2026-01-04/Truth_Table_for_Implication2.jpeg) +![Truth_Table_for_Implication2.jpeg](attachment:ba8ab2ea-7bd9-40eb-a02e-b8cb298a3abc:Truth_Table_for_Implication2.jpeg) ### Necessary Conditions -충분조건이라고 말하며$p, q$의 truth set(진리집합) $P, Q$가 $P ⊂ Q$가 성립할 때 $p \rightarrow q$의 관계를 말한다. +충분조건이라고 말하며$p, q$의 truth set(진리집합) $P, Q$가 $P \sub Q$가 성립할 때 $p \rightarrow q$의 관계를 말한다. -e.g. $p, q$의 truth set이 $P = {\{ x: x > 3\right\}, Q = {\{ x: x > 1\right\}$일 때 $P$의 어떤한 원소를 가져오더라도 $Q$의 조건을 만족함으로 이를 Necessary Conditions라고 한다. +e.g. $p, q$의 truth set이 $P = { x: x > 3}, Q = { x: x > 1}$일 때 $P$의 어떤한 원소를 가져오더라도 $Q$의 조건을 만족함으로 이를 Necessary Conditions라고 한다. ### Sufficient Conditions -필요조건이라고 말하며 $p, q$의 truth set $P, Q$가 $P ⊂ Q$가 성립할 때 $q \rightarrow p$의 관계를 말한다.($q$의 truth set이 $p$의 truth set보다 크기 때문에 $q$라고 해서 $p$가 될거라는 보장은 없음) +필요조건이라고 말하며 $p, q$의 truth set $P, Q$가 $P \sub Q$가 성립할 때 $q \rightarrow p$의 관계를 말한다.($q$의 truth set이 $p$의 truth set보다 크기 때문에 $q$라고 해서 $p$가 될거라는 보장은 없음) ($p$가 $q$이기 위한 조건은 충분하니 Necessary, Conditions 반대로 $q$는 $p$이기 위한 조건이 충분치 않으니 Sufficient Conditions이다.) ### Necessary and Sufficient Conditions -$p \rightarrow q \: and \, q \rightarrow p$가 참임을 말하며, 두 조건의 truth set이 같은 경우에만 해당 명제가 참이 된다.($P ⊂ Q$, $Q ⊂ P$와 같다.) - -$p {rightarrow q$라고 표현하며, 영어로 if and only if → iff로도 표현한다. - - - - - +$p \rightarrow q \: and \, q \rightarrow p$가 참임을 말하며, 두 조건의 truth set이 같은 경우에만 해당 명제가 참이 된다.($P \sub Q$, $Q \sub P$와 같다.) +$p \leftrightarrow q$라고 표현하며, 영어로 if and only if → iff로도 표현한다. From d56549b5d42d304bac35fef2da7cb6cb3a0234f8 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:44:26 +0900 Subject: [PATCH 147/159] Update 2026-01-05-set_4.md --- _posts/2026-01-05-set_4.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2026-01-05-set_4.md b/_posts/2026-01-05-set_4.md index 68240a43c1e2..35c024c3f778 100644 --- a/_posts/2026-01-05-set_4.md +++ b/_posts/2026-01-05-set_4.md @@ -48,7 +48,7 @@ Implication의 논리적 동치인 구조로 $\neg p \vee q$가 있다. (즉 $p 충분조건이라고 말하며$p, q$의 truth set(진리집합) $P, Q$가 $P \sub Q$가 성립할 때 $p \rightarrow q$의 관계를 말한다. -e.g. $p, q$의 truth set이 $P = { x: x > 3}, Q = { x: x > 1}$일 때 $P$의 어떤한 원소를 가져오더라도 $Q$의 조건을 만족함으로 이를 Necessary Conditions라고 한다. +e.g. $p, q$의 truth set이 $P = {{ x: x > 3}}, Q = { x: x > 1}$일 때 $P$의 어떤한 원소를 가져오더라도 $Q$의 조건을 만족함으로 이를 Necessary Conditions라고 한다. ### Sufficient Conditions From 1a663e8993319f540e18efcef8b508ea37375eaf Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:46:10 +0900 Subject: [PATCH 148/159] Update 2026-01-05-set_4.md --- _posts/2026-01-05-set_4.md | 16 +++++++++++++++- 1 file changed, 15 insertions(+), 1 deletion(-) diff --git a/_posts/2026-01-05-set_4.md b/_posts/2026-01-05-set_4.md index 35c024c3f778..33efcb599c17 100644 --- a/_posts/2026-01-05-set_4.md +++ b/_posts/2026-01-05-set_4.md @@ -1,3 +1,17 @@ +--- +layout: single +title: "3.Logical Operation" +categories: Math +tag: [Linear_Algebra, Set_theory] +toc: true +author_profile: false +sidebar: + nav: "docs" +use_math: true +--- + + + ### Statement: “명확하게” 참, 거짓을 판단할 수 있는 문장을 말하며, 참, 거짓이 명확하지 않은 경우에는 Statement라고 할 수 없다. @@ -48,7 +62,7 @@ Implication의 논리적 동치인 구조로 $\neg p \vee q$가 있다. (즉 $p 충분조건이라고 말하며$p, q$의 truth set(진리집합) $P, Q$가 $P \sub Q$가 성립할 때 $p \rightarrow q$의 관계를 말한다. -e.g. $p, q$의 truth set이 $P = {{ x: x > 3}}, Q = { x: x > 1}$일 때 $P$의 어떤한 원소를 가져오더라도 $Q$의 조건을 만족함으로 이를 Necessary Conditions라고 한다. +e.g. $p, q$의 truth set이 $P = \left\{ x: x > 3\right\}, Q = \left\{ x: x > 1\right\}$일 때 $P$의 어떤한 원소를 가져오더라도 $Q$의 조건을 만족함으로 이를 Necessary Conditions라고 한다. ### Sufficient Conditions From b9cb7c39586beb0dff80d45a8ab85cf99f7db38a Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:49:52 +0900 Subject: [PATCH 149/159] Update 2026-01-05-set_4.md --- _posts/2026-01-05-set_4.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2026-01-05-set_4.md b/_posts/2026-01-05-set_4.md index 33efcb599c17..8f190a715fd9 100644 --- a/_posts/2026-01-05-set_4.md +++ b/_posts/2026-01-05-set_4.md @@ -62,7 +62,7 @@ Implication의 논리적 동치인 구조로 $\neg p \vee q$가 있다. (즉 $p 충분조건이라고 말하며$p, q$의 truth set(진리집합) $P, Q$가 $P \sub Q$가 성립할 때 $p \rightarrow q$의 관계를 말한다. -e.g. $p, q$의 truth set이 $P = \left\{ x: x > 3\right\}, Q = \left\{ x: x > 1\right\}$일 때 $P$의 어떤한 원소를 가져오더라도 $Q$의 조건을 만족함으로 이를 Necessary Conditions라고 한다. +e.g. $p, q$의 truth set이 $P = \lbrace x: x > 3right\}, Q = \lbrace x: x > 1right\}$일 때 $P$의 어떤한 원소를 가져오더라도 $Q$의 조건을 만족함으로 이를 Necessary Conditions라고 한다. ### Sufficient Conditions From 197417c614f5d60a9e53bd19d86c0947bbabddb1 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:51:16 +0900 Subject: [PATCH 150/159] Update 2026-01-05-set_4.md --- _posts/2026-01-05-set_4.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2026-01-05-set_4.md b/_posts/2026-01-05-set_4.md index 8f190a715fd9..a59f00594d6e 100644 --- a/_posts/2026-01-05-set_4.md +++ b/_posts/2026-01-05-set_4.md @@ -62,7 +62,7 @@ Implication의 논리적 동치인 구조로 $\neg p \vee q$가 있다. (즉 $p 충분조건이라고 말하며$p, q$의 truth set(진리집합) $P, Q$가 $P \sub Q$가 성립할 때 $p \rightarrow q$의 관계를 말한다. -e.g. $p, q$의 truth set이 $P = \lbrace x: x > 3right\}, Q = \lbrace x: x > 1right\}$일 때 $P$의 어떤한 원소를 가져오더라도 $Q$의 조건을 만족함으로 이를 Necessary Conditions라고 한다. +e.g. $p, q$의 truth set이 $P = \lbrace x: x > 3/rbrace}, Q = \lbrace x: x > 1/rbrace}$일 때 $P$의 어떤한 원소를 가져오더라도 $Q$의 조건을 만족함으로 이를 Necessary Conditions라고 한다. ### Sufficient Conditions From 1182e74d2daaccf7921f25552819e53b471238c1 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:53:27 +0900 Subject: [PATCH 151/159] Update 2026-01-05-set_4.md --- _posts/2026-01-05-set_4.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2026-01-05-set_4.md b/_posts/2026-01-05-set_4.md index a59f00594d6e..6adc5b194baa 100644 --- a/_posts/2026-01-05-set_4.md +++ b/_posts/2026-01-05-set_4.md @@ -62,7 +62,7 @@ Implication의 논리적 동치인 구조로 $\neg p \vee q$가 있다. (즉 $p 충분조건이라고 말하며$p, q$의 truth set(진리집합) $P, Q$가 $P \sub Q$가 성립할 때 $p \rightarrow q$의 관계를 말한다. -e.g. $p, q$의 truth set이 $P = \lbrace x: x > 3/rbrace}, Q = \lbrace x: x > 1/rbrace}$일 때 $P$의 어떤한 원소를 가져오더라도 $Q$의 조건을 만족함으로 이를 Necessary Conditions라고 한다. +e.g. $p, q$의 truth set이 $P = \lbrace x: x > 3/rbrace, Q = \lbrace x: x > 1/rbrace$일 때 $P$의 어떤한 원소를 가져오더라도 $Q$의 조건을 만족함으로 이를 Necessary Conditions라고 한다. ### Sufficient Conditions From 9d37daf0cb6f46a543f5c33880f62b698f9e4cc2 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:53:57 +0900 Subject: [PATCH 152/159] Update 2026-01-05-set_4.md --- _posts/2026-01-05-set_4.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2026-01-05-set_4.md b/_posts/2026-01-05-set_4.md index 6adc5b194baa..ade3c411f0dd 100644 --- a/_posts/2026-01-05-set_4.md +++ b/_posts/2026-01-05-set_4.md @@ -62,7 +62,7 @@ Implication의 논리적 동치인 구조로 $\neg p \vee q$가 있다. (즉 $p 충분조건이라고 말하며$p, q$의 truth set(진리집합) $P, Q$가 $P \sub Q$가 성립할 때 $p \rightarrow q$의 관계를 말한다. -e.g. $p, q$의 truth set이 $P = \lbrace x: x > 3/rbrace, Q = \lbrace x: x > 1/rbrace$일 때 $P$의 어떤한 원소를 가져오더라도 $Q$의 조건을 만족함으로 이를 Necessary Conditions라고 한다. +e.g. $p, q$의 truth set이 $P = \lbrace x: x > 3 /rbrace, Q = \lbrace x: x > 1 /rbrace$일 때 $P$의 어떤한 원소를 가져오더라도 $Q$의 조건을 만족함으로 이를 Necessary Conditions라고 한다. ### Sufficient Conditions From 3ce8b3b4197960eed89baf39a40f07ea7021234e Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:54:29 +0900 Subject: [PATCH 153/159] Update 2026-01-05-set_4.md --- _posts/2026-01-05-set_4.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2026-01-05-set_4.md b/_posts/2026-01-05-set_4.md index ade3c411f0dd..378f702e24fa 100644 --- a/_posts/2026-01-05-set_4.md +++ b/_posts/2026-01-05-set_4.md @@ -62,7 +62,7 @@ Implication의 논리적 동치인 구조로 $\neg p \vee q$가 있다. (즉 $p 충분조건이라고 말하며$p, q$의 truth set(진리집합) $P, Q$가 $P \sub Q$가 성립할 때 $p \rightarrow q$의 관계를 말한다. -e.g. $p, q$의 truth set이 $P = \lbrace x: x > 3 /rbrace, Q = \lbrace x: x > 1 /rbrace$일 때 $P$의 어떤한 원소를 가져오더라도 $Q$의 조건을 만족함으로 이를 Necessary Conditions라고 한다. +e.g. $p, q$의 truth set이 $P = \lbrace x: x > 3 \rbrace, Q = \lbrace x: x > 1 \rbrace$일 때 $P$의 어떤한 원소를 가져오더라도 $Q$의 조건을 만족함으로 이를 Necessary Conditions라고 한다. ### Sufficient Conditions From 2c39560bdaaee91ea1f32b3171d85f2d99b31150 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 17:55:39 +0900 Subject: [PATCH 154/159] Update 2026-01-05-set_4.md --- _posts/2026-01-05-set_4.md | 15 ++++++++------- 1 file changed, 8 insertions(+), 7 deletions(-) diff --git a/_posts/2026-01-05-set_4.md b/_posts/2026-01-05-set_4.md index 378f702e24fa..7d2c8665f3b1 100644 --- a/_posts/2026-01-05-set_4.md +++ b/_posts/2026-01-05-set_4.md @@ -28,7 +28,7 @@ e.g. $x \in X \, s.t. \, x>1$ ($x$의 값에 따라서 참, 거짓이 바뀜) truth table을 보면 $p$와 $q$모두 참일 때 $p \wedge q$가 참이 된다. -![KakaoTalk_Photo_2026-01-04-16-08-08.jpeg](attachment:2ce9d65e-2d65-4d87-9d0e-fb18bd6e2fd2:KakaoTalk_Photo_2026-01-04-16-08-08.jpeg) +![AND](/images/2026-01-04/Truth_Table_for_AND.jpeg) ### OR @@ -42,7 +42,7 @@ $p$의 NOT은 $\neg p$라고 표현한다. $p$를 부정 즉, $p$와 반대로 가도록 만드는 연산이다. -![KakaoTalk_Photo_2026-01-04-16-17-19.jpeg](attachment:0c9d668e-a64d-495c-851f-f09c5cc370bc:KakaoTalk_Photo_2026-01-04-16-17-19.jpeg) +![OR](/images/2026-01-04/Truth_Table_for_OR.jpeg) ### Implication @@ -50,28 +50,29 @@ $p$를 부정 즉, $p$와 반대로 가도록 만드는 연산이다. truth table로 표현하면 다음과 같고 가정이 거짓일 때는 전체가 참(결론을 신경쓰지 않음), 가정이 참을 때는 결론의 참, 거짓에 따른다. -![Truth_Table_for_Implication.jpeg](attachment:2e9885c8-60eb-497e-a87c-53b1b5feabd5:Truth_Table_for_Implication.jpeg) +![Implication](/images/2026-01-04/Truth_Table_for_Implication.jpeg) Implication의 논리적 동치인 구조로 $\neg p \vee q$가 있다. (즉 $p \rightarrow q \equiv \neg p \vee q$이다.) 이는 truth table로 간단하게 증명할 수 있다. -![Truth_Table_for_Implication2.jpeg](attachment:ba8ab2ea-7bd9-40eb-a02e-b8cb298a3abc:Truth_Table_for_Implication2.jpeg) + +![Implication2](/images/2026-01-04/Truth_Table_for_Implication2.jpeg) ### Necessary Conditions -충분조건이라고 말하며$p, q$의 truth set(진리집합) $P, Q$가 $P \sub Q$가 성립할 때 $p \rightarrow q$의 관계를 말한다. +충분조건이라고 말하며$p, q$의 truth set(진리집합) $P, Q$가 $P ⊂ Q$가 성립할 때 $p \rightarrow q$의 관계를 말한다. e.g. $p, q$의 truth set이 $P = \lbrace x: x > 3 \rbrace, Q = \lbrace x: x > 1 \rbrace$일 때 $P$의 어떤한 원소를 가져오더라도 $Q$의 조건을 만족함으로 이를 Necessary Conditions라고 한다. ### Sufficient Conditions -필요조건이라고 말하며 $p, q$의 truth set $P, Q$가 $P \sub Q$가 성립할 때 $q \rightarrow p$의 관계를 말한다.($q$의 truth set이 $p$의 truth set보다 크기 때문에 $q$라고 해서 $p$가 될거라는 보장은 없음) +필요조건이라고 말하며 $p, q$의 truth set $P, Q$가 $P ⊂ Q$가 성립할 때 $q \rightarrow p$의 관계를 말한다.($q$의 truth set이 $p$의 truth set보다 크기 때문에 $q$라고 해서 $p$가 될거라는 보장은 없음) ($p$가 $q$이기 위한 조건은 충분하니 Necessary, Conditions 반대로 $q$는 $p$이기 위한 조건이 충분치 않으니 Sufficient Conditions이다.) ### Necessary and Sufficient Conditions -$p \rightarrow q \: and \, q \rightarrow p$가 참임을 말하며, 두 조건의 truth set이 같은 경우에만 해당 명제가 참이 된다.($P \sub Q$, $Q \sub P$와 같다.) +$p \rightarrow q \: and \, q \rightarrow p$가 참임을 말하며, 두 조건의 truth set이 같은 경우에만 해당 명제가 참이 된다.($P ⊂ Q$, $Q ⊂ P$와 같다.) $p \leftrightarrow q$라고 표현하며, 영어로 if and only if → iff로도 표현한다. From c43fb97c5827fdfd37e92933c49032e231c21bf9 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 18:00:21 +0900 Subject: [PATCH 155/159] Update 2026-01-05-set_4.md --- _posts/2026-01-05-set_4.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2026-01-05-set_4.md b/_posts/2026-01-05-set_4.md index 7d2c8665f3b1..347e6f790682 100644 --- a/_posts/2026-01-05-set_4.md +++ b/_posts/2026-01-05-set_4.md @@ -7,7 +7,7 @@ toc: true author_profile: false sidebar: nav: "docs" -use_math: true +use_math: false --- From 8e84e6e0f7d1d942967675e760ab27a4d1dc8c62 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 18:02:45 +0900 Subject: [PATCH 156/159] Rename 2026-01-05-set_4.md to 2026-01-04-set_4.md --- _posts/{2026-01-05-set_4.md => 2026-01-04-set_4.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename _posts/{2026-01-05-set_4.md => 2026-01-04-set_4.md} (100%) diff --git a/_posts/2026-01-05-set_4.md b/_posts/2026-01-04-set_4.md similarity index 100% rename from _posts/2026-01-05-set_4.md rename to _posts/2026-01-04-set_4.md From 8406039f1b981ac82eeb21492c40da35c9d006c8 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 18:04:15 +0900 Subject: [PATCH 157/159] Update 2026-01-04-set_4.md --- _posts/2026-01-04-set_4.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2026-01-04-set_4.md b/_posts/2026-01-04-set_4.md index 347e6f790682..d32f5a9f99df 100644 --- a/_posts/2026-01-04-set_4.md +++ b/_posts/2026-01-04-set_4.md @@ -42,7 +42,7 @@ $p$의 NOT은 $\neg p$라고 표현한다. $p$를 부정 즉, $p$와 반대로 가도록 만드는 연산이다. -![OR](/images/2026-01-04/Truth_Table_for_OR.jpeg) +![NOT](/images/2026-01-04/Truth_Table_for_NOT) ### Implication From 0690069ad245418c4a84f7ec1b0081110a414a82 Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 18:08:47 +0900 Subject: [PATCH 158/159] Update 2026-01-04-set_4.md --- _posts/2026-01-04-set_4.md | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/_posts/2026-01-04-set_4.md b/_posts/2026-01-04-set_4.md index d32f5a9f99df..bb79dd02c6db 100644 --- a/_posts/2026-01-04-set_4.md +++ b/_posts/2026-01-04-set_4.md @@ -42,7 +42,8 @@ $p$의 NOT은 $\neg p$라고 표현한다. $p$를 부정 즉, $p$와 반대로 가도록 만드는 연산이다. -![NOT](/images/2026-01-04/Truth_Table_for_NOT) +![NOT](/images/2026-01-04/Truth_Table_Image_for_NOT.jpeg) + ### Implication From f5f385416aaa3e9e589f037813cce151a431455f Mon Sep 17 00:00:00 2001 From: Kiseong Hwang <132746923+kiseonghwang@users.noreply.github.com> Date: Sun, 4 Jan 2026 18:33:18 +0900 Subject: [PATCH 159/159] Update 2025-12-29-first.md --- _posts/2025-12-29-first.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2025-12-29-first.md b/_posts/2025-12-29-first.md index 59ecc8189462..5b3a81f0dac8 100644 --- a/_posts/2025-12-29-first.md +++ b/_posts/2025-12-29-first.md @@ -9,4 +9,4 @@ sidebar: nav: "docs" use_math: false --- -AI와 관련된 정보, 이론들을 정리하겠습니다. +AI와 관련된 정보, 이론들을 정리하겠습니다!!.