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Mathlib Alternatives
Similar projects and alternatives to mathlib
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coq
Coq is a formal proof management system. It provides a formal language to write mathematical definitions, executable algorithms and theorems together with an environment for semi-interactive development of machine-checked proofs.
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InfluxDB
Build time-series-based applications quickly and at scale.. InfluxDB is the Time Series Platform where developers build real-time applications for analytics, IoT and cloud-native services. Easy to start, it is available in the cloud or on-premises.
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SonarLint
Clean code begins in your IDE with SonarLint. Up your coding game and discover issues early. SonarLint is a free plugin that helps you find & fix bugs and security issues from the moment you start writing code. Install from your favorite IDE marketplace today.
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MathInspector
A visual programing environment for scientific computing with python
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WolframLanguageForJupyter
Wolfram Language kernel for Jupyter notebooks
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minecraft-pi-reborn
Official Mirror Of @TheBrokenRail's Minecraft: Pi Edition: Reborn.
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mathlib reviews and mentions
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Lean – Theorem Prover
I think they end up similar. Although Lean 3 is much more geared towards writing proofs with the addition of mathlib [0] which aims to be a library of formalized mathematics.
- The Mathematical Hacker
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Thoughts on proof assistants?
Check out Lean (https://leanprover-community.github.io/) if you want a theorem prover with a strong mathematics community. Or if you don't, Lean is cool.
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Mathics: A free, open-source alternative to Mathematica
Check out https://github.com/leanprover-community/mathlib . Sure, it's not really a CAS but CAS algorithms could be added to it where applicable, since Lean is a constructive system and can thus express formally verified computations.
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Principia Mathematica in modern notation.
If you're really interested in formalization of mathematics, there's a lot to do otherwise. I think there's lots of work to do on Mathlib that you don't need a PhD to do, just programming experience and bachelors-level math knowledge.
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What Programming Language would you use in your studies?
There's also Lean for proof assistance.
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Is Haskell a good language for CAS/numerical analysis?
This is normal math, however this is not CAS territory but formal proof territory. Things like the intermediate value theorem are already formalized in Mathlib in using Lean v3.
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Mathematicians welcome computer-assisted proof in ‘grand unification’ theory
If you're interested in interactive theorem proving with Lean (and not condensed mathematics), the Lean community landing page is a good place to start. https://leanprover-community.github.io/
Especially the "Natural Number Game" under "Learning resources" has been successful in teaching folks the very basics for writing proofs. Once finished, a textbook like "Theorem Proving in Lean" can teach the full basics. Feel free to join the Lean Zulip at any point and ask questions at https://leanprover.zulipchat.com/ in the #new members stream.
Mathlib has plenty of contributions from interested undergrads :)
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Learn coq or agda before diving into idris2?
Lean’s mathlib has quite nice formalization of category theory. For HoTT probably cubical Agda (though this link doesn’t cover cubical paths)
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Is there a book like Russell's Principia Mathematica but for modern day mathematics?
As such, if you want some body of work similar to PM, the spiritual successor of that effort is formal proof libraries, such as metamath or Lean. You won't find this stuff in any printed book, because the nature of software verified proofs is that they're supposed to be checked and verified digitally by computer.
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leanprover-community/mathlib is an open source project licensed under Apache License 2.0 which is an OSI approved license.