Computer algebra system software for Linux | Free computer algebra systems

Axiom (computer algebra system)

Axiom is a free, general-purpose computer algebra system. It consists of an interpreter environment, a compiler and a library, which defines a strongly typed hierarchy. (Wikipedia).

Axiom (computer algebra system)
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Relations and Functions | Axiomatic Set Theory, Section 2.1

In this video we define and prove a few basic theorems about relations and functions. My Twitter: https://twitter.com/KristapsBalodi3 Intro:(0:00) Ordered Pairs:(1:43) IMAGE-in that!:(3:33) Composition: (7:57) Functions:(11:05) Special thanks to Alex Stephens

From playlist Axiomatic Set Theory

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Set Theory (Part 5): Functions and the Axiom of Choice

Please feel free to leave comments/questions on the video and practice problems below! In this video, I introduce functions as a special sort of relation, go over some function-related terminology, and also prove two theorems involving left- and right-inverses, with the latter theorem nic

From playlist Set Theory by Mathoma

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Systems of equations: algebra and geometry

This is part of an online course on beginner/intermediate linear algebra, which presents theory and implementation in MATLAB and Python. The course is designed for people interested in applying linear algebra to applications in multivariate signal processing, statistics, and data science.

From playlist Linear algebra: theory and implementation

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What is linear algebra?

This is part of an online course on beginner/intermediate linear algebra, which presents theory and implementation in MATLAB and Python. The course is designed for people interested in applying linear algebra to applications in multivariate signal processing, statistics, and data science.

From playlist Linear algebra: theory and implementation

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Linear Algebra Full Course for Beginners to Experts

Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental in modern presentations of geometry, including for defining basic objects such as lines, planes and rotations. Also, functional analysis may be basically viewed as the application of l

From playlist Linear Algebra

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Algebra for Beginners | Basics of Algebra

#Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. Table of Conten

From playlist Linear Algebra

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L1.1. Sets

At the end, I misspoke: the correct statement would be that the axiom of choice (or the choice function) is not constructive.

From playlist Abstract Algebra 1

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What We've Learned from NKS Chapter 12: The Principle of Computational Equivalence [Part 2]

In this episode of "What We've Learned from NKS", Stephen Wolfram is counting down to the 20th anniversary of A New Kind of Science with [another] chapter retrospective. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or th

From playlist Science and Research Livestreams

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Set Theory (Part 2): ZFC Axioms

Please feel free to leave comments/questions on the video and practice problems below! In this video, I introduce some common axioms in set theory using the Zermelo-Fraenkel w/ choice (ZFC) system. Five out of nine ZFC axioms are covered and the remaining four will be introduced in their

From playlist Set Theory by Mathoma

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Séminaire Bourbaki - 21/06/2014 - 3/4 - Thomas C. HALES

Developments in formal proofs A for mal proof is a proof that can be read and verified by computer, directly from the fundamental rules of logic and the foundational axioms of mathematics. The technology behind for mal proofs has been under development for decades and grew out of efforts i

From playlist Bourbaki - 21 juin 2014

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Wolfram Physics Project: Working Session Tuesday, July 28, 2020 [Metamathematics | Part 3]

This is a Wolfram Physics Project progress update at the Wolfram Summer School. This is a continuation of part two found here: https://youtu.be/ndtLa0BhEdg Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.

From playlist Wolfram Physics Project Livestream Archive

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Wolfram Physics Project: a Conversation on Current Work (Jan. 26, 2021)

This is a Wolfram Physics Project conversation on our continuing efforts to make progress on the fundamental theory of physics. Begins at 3:00 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Ch

From playlist Wolfram Physics Project Livestream Archive

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The mathematical work of Vladimir Voevodsky - Dan Grayson

Vladimir Voevodsky Memorial Conference Topic: The mathematical work of Vladimir Voevodsky Speaker: Dan Grayson Affiliation: University of Illinois, Urbana-Champaign Date: September 11, 2018 For more video please visit http://video.ias.edu

From playlist Mathematics

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Twitch Talks - Algebra

Presenter: Adam Strzebonski Wolfram Research developers demonstrate the new features of Version 12 of the Wolfram Language that they were responsible for creating. Previously broadcast live on July 18, 2019 at twitch.tv/wolfram. For more information, visit: https://www.wolfram.com/languag

From playlist Twitch Talks

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Wolfram Physics Project: Working Session Aug 18, 2020 [Physicalization of Empirical Metamathematics]

This is a Wolfram Physics Project working session on empirical metamathematics and its physicalization. Begins at 3:00 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement

From playlist Wolfram Physics Project Livestream Archive

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The story of mathematical proof – with John Stillwell

Discover the surprising history of proof, a mathematically vital concept. In this talk John covers the areas of number theory, non-Euclidean geometry, topology, and logic, and peer into the deep chasm between natural number arithmetic and the real numbers. Buy John's book here: https://g

From playlist Livestreams

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Wolfram Physics Project: Working Session Tuesday, Feb. 2, 2021 [Proofs and Metamathematics]

This is a Wolfram Physics Project working session about proofs and metamathematics. Begins at 3:22 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement post: http://wolfr.

From playlist Wolfram Physics Project Livestream Archive

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Linear Algebra: Systems of Linear Equations

Learn the basics of Linear Algebra with this series from the Worldwide Center of Mathematics. Find more math tutoring and lecture videos on our channel or at http://centerofmath.org/

From playlist Basics: Linear Algebra

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