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2020 05 07 Meeting
affeldt-aist edited this page May 30, 2020
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- quick summary about the branch
mathcomp_master_sequence
- we limit ourselves to elementary results and will generalize later
- elementary but using filters (epsilon-delta reasoning recovered with lemma
cvg_normW
)
- elementary but using filters (epsilon-delta reasoning recovered with lemma
- we limit ourselves to elementary results and will generalize later
- what we put in milestone 0.3
- add https://github.com/math-comp/analysis/pull/196
- to be merged by tomorrow
- introduces the notion of locally bounded with notations such as
[bound f x | x \in A]
or[locally [bounded f x | x in A]]
- notation for Lipschitz, e.g.,
k.-lipshitz_A f
- implementation with the predicate
dominated_by
(whose generalization beyond normed spaces was discussed)
- add https://github.com/math-comp/analysis/pull/187 on sequences (see above and below)
- add add https://github.com/math-comp/analysis/pull/183
- no need for Landau notations for most lemmas of this PR
- Goal for later: Lipschitz continuity
- add https://github.com/math-comp/analysis/pull/196
- temporary policy for merges
- merge even if results could be generalized but put a TODO in the code and an issue pointing at this TODO
- discussion about the introduction of a metric layer (not now)
- discussion about the integration of complexes
- already used in https://github.com/math-comp/analysis/pull/192 via real-closed
- TODO: in real-closed, give up on the canonical structures about modules
- get rid of
lmodtype
(add it where needed to have a R-valued norm) - we should get rid of
^o
(Marie to PR a version of mathcomp-analysis that does not use^o
) - should come as a fix for the issue https://github.com/math-comp/analysis/issues/156
- get rid of
- revive https://github.com/math-comp/analysis/pull/119
- add uniform spaced between topological spaces et pseudometric spaces
- later: change pseudometric with balls to a pseudometric with a distance function
- a structure with a distance evaluating to
+oo
might be bothersome
- a structure with a distance evaluating to
- details about https://github.com/math-comp/analysis/pull/187 on sequences
- question about differential of inverse in
derive.v
-
differential_Rinv
has been updated -
Cinv_continuous
for complex numbers innormedtype.v
-
- poll about
cvg
vs.is_cvg
(cvg
wins) - reminder about new namings
- in particular,
cvg_normW
changed tocvg_distW
, in anticipation of the introduction of a notation similar to| - _ |%N
forssrint
once distances are introduced
- in particular,
- explain the definition of series
- notation
[normed series u_]
that replaces the general term with its norm
- notation
- next step: uniform convergence
- introduction a type of function bounded on a domain?
- question about differential of inverse in
- discussion about metrizable spaces
- metrizable spaces are uniform and lie between uniform and normed spaces
- ref: https://fr.wikipedia.org/wiki/Espace_vectoriel_topologique
- You've been warned: don't use
exact
,done
orby
inHint Extern
, prefersolve[...]