internal-methods
LaTeX-examples
internal-methods | LaTeX-examples | |
---|---|---|
1 | 1 | |
50 | 1,533 | |
- | - | |
8.1 | 0.0 | |
3 months ago | over 1 year ago | |
TeX | TeX | |
- | MIT License |
Stars - the number of stars that a project has on GitHub. Growth - month over month growth in stars.
Activity is a relative number indicating how actively a project is being developed. Recent commits have higher weight than older ones.
For example, an activity of 9.0 indicates that a project is amongst the top 10% of the most actively developed projects that we are tracking.
internal-methods
-
Computing an integer using a Grothendieck topos
Setting philosophy aside, one of the major applications of constructive logic is that it's the internal language of toposes (and related kinds of categories). This usually simplifies proofs considerably and can produce new results.
Some examples, Joyal and Tierney's An extension of the Galois theory of Grothendieck, CJ Mulvey's papers from the 70s (Intuitionistic algebra and representations of rings for example) and Blechschmidt's A General Nullstellensatz for Generalized Spaces.
Johnstone's Sketches of an Elephant often has both internal and external proofs for comparison and it's easily seen that the internal version is both easier to write and to understand.
For an article explicitly focused on using internal languages in algebraic geometry, see Blechschmidt's notes [0]. In particular, section 20 is dedicated to proving things that are difficult without the internal language.
[0] https://github.com/iblech/internal-methods
LaTeX-examples
-
How would I insert a basic radius and diameter in a circle in latex?
circle-diameter-radius from MartinThoma's LaTeX examples on GitHub
What are some alternatives?
locus - A specialised computer algebra system for topos theory.
fiziko - MetaPost library initially written to automate some elements of black and white illustrations for a physics textbook
Algorithms - A collection of algorithms and data structures
flashcards - Dark themed, hyperlinked flashcards 📇
Reals-as-Oracles - This is a paper for a new definition of real numbers, namely, viewing a real number as an oracle that affirms when a rational interval contains the real number.
mtheme - A modern LaTeX Beamer theme
ml-pen-and-paper-exercises - Pen and paper exercises in machine learning
l3charts - Customizable charts made with TikZ and LaTeX3
siunitx - A comprehensive (SI) units package for LaTeX
vimtex - VimTeX: A modern Vim and neovim filetype plugin for LaTeX files.
flashcards - Programming Language and Framework Flash Cards as Study Material