standardized categories

elimelt · Feb 12, 2025 · d9ff78b · d9ff78b
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diff --git a/algorithms/BFS.md b/algorithms/BFS.md
@@ -1,7 +1,7 @@
 ---
 title: Breadth First Search Algorithm Implementation and Analysis
 category: Algorithms
-tags: graph-traversal, shortest-paths, graph-theory, complexity-analysis
+tags: graph traversal, shortest paths, graph theory, complexity analysis
 description: A comprehensive explanation of the Breadth First Search (BFS) algorithm, including implementation, complexity analysis, and mathematical proofs. The document covers the algorithm's properties for finding shortest paths in graphs and includes Python implementations with detailed theoretical foundations and lemmas about level ordering.
 ---
 # Breadth First Search

diff --git a/algorithms/divide-and-conquer.md b/algorithms/divide-and-conquer.md
@@ -1,7 +1,7 @@
 ---
 title: Divide and Conquer Algorithm Analysis with Implementation Examples
 category: Algorithms
-tags: divide-and-conquer, algorithmic-complexity, recursive-algorithms, computational-geometry
+tags: divide and conquer, algorithmic complexity, recursive algorithms, computational-geometry
 description: A comprehensive examination of divide and conquer algorithmic strategies, focusing on their implementation and analysis. The document covers theoretical foundations with mathematical proofs, practical examples including bisection method and closest pair problem, and includes Python implementations demonstrating these concepts.
 ---
 

diff --git a/algorithms/dynamic-programming.md b/algorithms/dynamic-programming.md
@@ -1,7 +1,7 @@
 ---
 title: Dynamic Programming Algorithms and Problem Solutions Guide
 category: Algorithms
-tags: dynamic-programming, optimization, algorithm-analysis, problem-solving
+tags: dynamic programming, optimization, algorithm analysis
 description: A comprehensive guide covering various dynamic programming algorithms and their implementations, including knapsack, sequence alignment, and tree-based problems. Includes detailed explanations of problem-solving approaches, correctness proofs, and runtime analysis for each algorithm, with practical Python implementations.
 ---
 

diff --git a/algorithms/patterns/BFS.md b/algorithms/patterns/BFS.md
@@ -1,10 +1,4 @@
 ---
-title: Spring Boot Quickstart Guide
-category: Software Engineering
-tags: spring boot, quick start, spring web, rest repositories
-description: A step-by-step guide to creating a Spring Boot application with Rest Repositories
----
----
 title: Breadth First Search Pattern
 category: Algorithms
 tags: breadth-first search, graph algorithms, graph traversal, shortest path

diff --git a/distributed-systems/dynamo-db.md b/distributed-systems/dynamo-db.md
@@ -1,7 +1,7 @@
 ---
 title: Dynamo: Amazon's Highly Available Key-value Store
 category: Distributed Systems
-tags: key-value store, database-design, high-availability, consistency, object-versioning, conflict-resolution
+tags: key-value store, database design, high availability, consistency, object versioning, conflict resolution
 description: A highly available key-value storage system sacrificing consistency under failure conditions, using object versioning and application assisted conflict resolution.
 ---
 # Dynamo: Amazon's Highly Available Key-value Store

diff --git a/linear-algebra/cheatsheet.md b/linear-algebra/cheatsheet.md
@@ -1,3 +1,10 @@
+---
+title: Matrix Theory
+category: Linear Algebra
+tags: linear algebra, vector spaces, operators, dual spaces, tensor products
+description: Covers fundamental concepts in linear algebra and matrix theory, including vector spaces, basic operations, systems of linear equations, matrices, eigenvalues and eigenvectors, and advanced topics such as singular value decomposition, Jordan canonical form, and tensor products. It also explores properties of matrices, linear transformations, and inner product spaces, with a focus on geometric interpretations and algebraic definitions. The document concludes with various important theorems and applications in linear algebra, including matrix factorization, eigenvalue theory, and differential equations.
+---
+
 # Fundamentals of Vectors
 
 ## Geometric Basics

diff --git a/linear-algebra/elementry-linear-algebra.md b/linear-algebra/elementry-linear-algebra.md
@@ -1,3 +1,10 @@
+---
+title: Glossary of Linear Algebra Concepts
+category: Linear Algebra
+tags: Gaussian Elimination, Matrix-Vector Multiplication, Linear Transformations, Matrix-Matrix Multiplication
+description: Provides an overview of basic linear algebra concepts and techniques, including Gaussian elimination, systems of equations, row operations, matrix-vector multiplication, and matrix-matrix multiplication, providing efficient methods for solving systems of equations and transforming matrices. It also touches on the relationships between these concepts, such as span and linear transformations. The document distinguishes between inefficient and efficient approaches to solving systems of equations.
+---
+
 # Elementary Linear Algebra
 
 ## Systems of Equations

diff --git a/linear-algebra/python-cheatsheet.md b/linear-algebra/python-cheatsheet.md
@@ -1,3 +1,10 @@
+---
+title: ## Matrix and Vector Algebra Fundamentals
+category: Other
+tags: linear algebra, matrix theory, vector spaces
+description: Covers fundamental concepts and operations in linear algebra using NumPy, including vector and matrix creation, operations, properties, transformations, and systems of equations. It also touches on topics such as orthogonality, basis, and change of basis. The goal is to provide a comprehensive overview of the mathematical foundations of vectors and matrices in the context of visualization.
+---
+
 # Fundamentals of Vectors
 
 ## Working with Vectors in NumPy