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Top 11 TeX Mathematic Projects
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InfluxDB
Power Real-Time Data Analytics at Scale. Get real-time insights from all types of time series data with InfluxDB. Ingest, query, and analyze billions of data points in real-time with unbounded cardinality.
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SaaSHub
SaaSHub - Software Alternatives and Reviews. SaaSHub helps you find the best software and product alternatives
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C3T
C3T: Crash Course Category Theory - A friendly non-mathematician's approach to beginners of Category Theory. 🐱
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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.
I think having a language that helps understand those limitations is a useful achievement. Much of mathematics does have that. A notable exception is the definition of real numbers. They are usually presented as a string of infinite decimals, or a converging sequence, or a set of numbers less than something. All of those notions obscure the basic limitation of knowing the real number and give a veneer of similarity to rational number. Rational numbers are numbers that we can have in our hand while irrational numbers are ones which we can never have. It is important to have a setup that respects that difference.
This is what motivated me to come up with a new definition of real numbers, namely, they are objects (I call them oracles) that answer Yes or No when asked if the number ought to be between two given rational numbers. Abstracting out what properties such an object should have, one can come up with a space of these oracles, define an arithmetic, and prove that they satisfy the axioms of real numbers.
For details: https://github.com/jostylr/Reals-as-Oracles/
In many ways, this is giving a definitional support to the use of interval analysis which is, of course, a very practical concern. It also brings our some cool stuff about mediants and continued fractions (nothing new about that, but nicely motivated).
It also fits in with the adjacent post about busy beaver numbers and its conclusion about knowing a number is in an interval.
TeX Mathematics related posts
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The Statistics Handbook (free culture LaTeX handbook)
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Getting ready for next year specialization
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Pen and paper exercises in machine learning
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Basic Analysis: Introduction to Real Analysis
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Basic Analysis: Introduction to Real Analysis
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Pen and Paper Exercises in Machine Learning - 211 Pages - Michael U. Gutmann - 2022
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need a textbook recommendation for real analysis!
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A note from our sponsor - SaaSHub
www.saashub.com | 10 May 2024
Index
What are some of the best open-source Mathematic projects in TeX? This list will help you:
Project | Stars | |
---|---|---|
1 | ml-pen-and-paper-exercises | 1,810 |
2 | LaTeX-examples | 1,533 |
3 | the_statistics_handbook | 245 |
4 | maths_book | 194 |
5 | ra | 53 |
6 | diffyqs | 52 |
7 | internal-methods | 50 |
8 | C3T | 28 |
9 | maths_formulae | 17 |
10 | math-cheatsheet | 15 |
11 | Reals-as-Oracles | 1 |
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