Proof assistants | Large-scale mathematical formalization projects | Educational math software

Mizar system

The Mizar system consists of a formal language for writing mathematical definitions and proofs, a proof assistant, which is able to mechanically check proofs written in this language, and a library of formalized mathematics, which can be used in the proof of new theorems. The system is maintained and developed by the Mizar Project, formerly under the direction of its founder Andrzej Trybulec. In 2009 the Mizar Mathematical Library was the largest coherent body of strictly formalized mathematics in existence. (Wikipedia).

Mizar system
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Kunst - 1

A piece of line art.

From playlist Misc

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Transfer function matrices

How to represent MIMO systems with transfer function matrices

From playlist Laplace

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3 Weird Stars You Can See with the Naked Eye

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From playlist SciShow Space

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What's Up: April 2022 Skywatching Tips from NASA

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From playlist What's Up

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2 Construction of a Matrix-YouTube sharing.mov

This video shows you how a matrix is constructed from a set of linear equations. It helps you understand where the various elements in a matrix comes from.

From playlist Linear Algebra

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Double stars are stars that appear to be near each other in the sky, but if they’re gravitationally bound together we call them binary stars. Many stars are actually part of binary or multiple systems. If they are close enough together they can actually touch other, merging into one peanut

From playlist Astronomy

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Linear Desface

Here we show a quick way to set up a face in desmos using domain and range restrictions along with sliders. @shaunteaches

From playlist desmos

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From playlist Infinity, and Beyond!

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Radian Illustrator (Desmos)

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From playlist Desmos Activities, Illustrations, and How-To's

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From playlist Injective, Surjective, and Bijective Functions

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From playlist Science

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Bild

Another ancient screen saver effect.

From playlist Misc

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Josef Urban - Some News from the Semantic AI Paradise

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From playlist Mikefest: A conference in honor of Michael Douglas' 60th birthday

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From playlist Virtual Star Party

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From playlist mandelstir

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From playlist Geology & Earth Science

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The Unreasonable Effectiveness of Learning Neural Nets: A Statistical... by Jennifer Chayes

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From playlist ICTS at Ten

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Automath | QED manifesto | Hahn–Banach theorem | Jordan curve theorem | Kőnig's lemma | Journal of Automated Reasoning | Tarski–Grothendieck set theory | Gödel's completeness theorem | Metamath | Probability theory | Proof assistant | Formal language | Classical logic | Implementation of mathematics in set theory | HOL Light | Coq