Mathematical proofs | Articles containing proofs | Proof without words

Proof without words

In mathematics, a proof without words (or visual proof) is an illustration of an identity or mathematical statement which can be demonstrated as self-evident by a diagram without any accompanying explanatory text. Such proofs can be considered more elegant than formal or mathematically rigorous proofs due to their self-evident nature. When the diagram demonstrates a particular case of a general statement, to be a proof, it must be generalisable. A proof without words is not the same as a mathematical proof, because it omits the details of the logical argument it illustrates. However, it can provide valuable intuitions to the viewer that can help them formulate or better understand a true proof. (Wikipedia).

Proof without words
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How do I love math? (Part II - Proof without words)

Proofs without words are the gem of mathematics. Together with animations, if it doesn't make you love math, I don't know what will :) Proofs include: 1a and 1b) Two formulas relating pi and inverse tangent functions 2) Sum of first n natural numbers 3) Sum of first n cubes 4) Geometric s

From playlist Novel topics (not in usual math curricula)

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Introduction to Proof by Counter Example

This video provides an introduction to the proof method of proof by counter example. mathispower4u.com

From playlist Symbolic Logic and Proofs (Discrete Math)

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Existence Proofs

Ben discusses constructive and non-constructive proofs with examples.

From playlist Basics: Proofs

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Proofs in calculus -- Proofs

This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.

From playlist Proofs

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Proof: a³ - a is always divisible by 6 (2 of 2: Proof by exhaustion)

More resources available at www.misterwootube.com

From playlist The Nature of Proof

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Proofs by contradiction -- Proofs

This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.

From playlist Proofs

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How to write an algebraic proof

👉 Learn how to write an algebraic proof. Algebraic proofs are used to help students understand how to write formal proofs where we have a statement and a reason. In the case of an algebraic proof the statement will be the operations used to solve an algebraic equation and the reason will

From playlist Parallel Lines and a Transversal

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Topology Without Tears - Video 4d - Writing Proofs in Mathematics

This is part (d) of the fourth video in a series of videos which supplement my online book "Topology Without Tears" which is available free of charge at www.topologywithouttears.net Video 4 focusses on the extremely important topic of writing proofs. This video is about Mathematical Induc

From playlist Topology Without Tears

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The contrapositive.

We look at the technique of proof by contrapositive and give several examples. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Merch: https://teespring.com/stores/michael-penn-math Personal Website: http://www.michael-penn.net Randolph College Math: http://ww

From playlist Proof Writing

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Representing and Finding Mathematical Theorems

To learn more about Wolfram Technology Conference, please visit: https://www.wolfram.com/events/technologyconference/ Speaker: Yihe Dong, Ian Ford, James Mulnix Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment,

From playlist Wolfram Technology Conference 2017

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Zero Knowledge Proofs - Seminar 1 - Introduction

This seminar series is about the mathematical foundations of cryptography. In this series Eleanor McMurtry is explaining Zero Knowledge Proofs (ZKPs), a fascinating set of techniques that allow one participant to prove they know something *without revealing the thing*. You can join this s

From playlist Metauni

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Tony Yue Yu - 4/4 The Frobenius Structure Conjecture for Log Calabi-Yau Varieties

Notes: https://nextcloud.ihes.fr/index.php/s/T6zEGCcJPS5JL4d 4/4 - Scattering diagram, comparison with Gross-Hacking-Keel-Kontsevich, applications to cluster algebras, applications to moduli spaces of Calabi-Yau pairs. --- We show that the naive counts of rational curves in an affine log

From playlist Tony Yue Yu - The Frobenius Structure Conjecture for Log Calabi-Yau Varieties

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Live CEOing Ep 616: Language Design in Wolfram Language [Multicomputation]

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From playlist Behind the Scenes in Real-Life Software Design

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Real Analysis Ep 13: Open sets

Episode 13 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class. This episode is about open sets of real numbers. Class webpage: http://cstaecker.fairfield.edu/~cstaecker/courses/2020f3371/ Chris Staecker webpage: http://fac

From playlist Math 3371 (Real analysis) Fall 2020

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Topology Without Tears - Video 4c - Writing Proofs in Mathematics

This is part (c) of the fourth video in a series of videos which supplement my online book "Topology Without Tears" which is available free of charge at www.topologywithouttears.net Video 4 focusses on the extremely important topic of writing proofs. This video is about Proof by Contradict

From playlist Topology Without Tears

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The Erdos - Ginzburg - Ziv Constant by Wolfgang Schmid

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From playlist Workshop on Additive Combinatorics 2020

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Proof by Counter Example: Prove a Converse is False

This video provides an example of a proof by counter example. mathispower4u.com

From playlist Symbolic Logic and Proofs (Discrete Math)

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Wolfram Physics Project: Future Questions for our Physics Project Tuesday, Apr. 13, 2021

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From playlist Wolfram Physics Project Livestream Archive

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