Proof theory

Redundant proof

In mathematical logic, a redundant proof is a proof that has a subset that is a shorter proof of the same result. In other words, a proof is redundant if it has more proof steps than are actually necessary to prove the result. Formally, a proof of is considered redundant if there exists another proof of such that (i.e. ) and where is the number of nodes in . (Wikipedia).

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Introduction to Proof by Contradiction: sqrt(2) is irrational

This video introduces the mathematical proof method of proof by contradiction and provides an example of a proof. mathispower4u.com

From playlist Symbolic Logic and Proofs (Discrete Math)

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The Contrapositive and Proof by Contrapositive

The contrapositive is a powerful tool that can be used to prove various mathematical statements. It is most useful when a direct proof is awkward or impossible, and - if it can be used - is often a much more elegant method that employing proof by contradiction. #proof #contrapositive #proo

From playlist Proofs and Explanations

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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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Every Subset of a Linearly Independent Set is also Linearly Independent Proof

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys A proof that every subset of a linearly independent set is also linearly independent.

From playlist Proofs

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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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Linear Algebra: Redundant Vectors and How to Find a Minimal Generating Set

Linear Algebra: Redundant Vectors and How to Find a Minimal Generating Set

From playlist Linear Algebra

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How to Prove a Function is Injective(one-to-one) Using the Definition

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How to prove a function is injective. Injective functions are also called one-to-one functions. This is a short video focusing on the proof.

From playlist Proofs

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Proof by Contradiction: There are no integers x and y such that x^2 = 4y + 2

This video provides an example of proof by contradiction. mathispower4u.com

From playlist Symbolic Logic and Proofs (Discrete Math)

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Foundations S2 - Seminar 4 - Lower Lowenheim-Skolem

A seminar series on the foundations of mathematics, by Will Troiani and Billy Snikkers. In this lecture Will proves the lower Lowenheim-Skolem theorem. The webpage for this seminar is https://metauni.org/foundations/ You can join this seminar from anywhere, on any device, at https://www.

From playlist Foundations seminar

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Sergio Verdu - Information Theory Today

Founded by Claude Shannon in 1948, information theory has taken on renewed vibrancy with technological advances that pave the way for attaining the fundamental limits of communication channels and information sources. Increasingly playing a role as a design driver, information theory is b

From playlist NOKIA-IHES Workshop

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Proof: Idempotent Property of Set Intersection | Set Theory

The intersection of a set with itself leaves the set unchanged, this is the idempotent property of set intersection and we prove it in today's video set theory lesson. This is a very straightforward proof, all we need to know is the definition of set equality, set intersection, and the su

From playlist Set Theory

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A Complete Dichotomy Rises from the Capture of Vanishing Signatures - Jin-Yi Cai

Jin-Yi Cai University of Wisconsin November 19, 2012 Holant Problems are a broad framework to describe counting problems. The framework generalizes counting Constraint Satisfaction Problems and partition functions of Graph Homomorphisms. We prove a complexity dichotomy theorem for Holant

From playlist Mathematics

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Lecture 6 | Convex Optimization II (Stanford)

Lecture by Professor Stephen Boyd for Convex Optimization II (EE 364B) in the Stanford Electrical Engineering department. Professor Boyd lectures on the localization and cutting-plane methods and then moves into the Analytic center cutting-plane methods. This course introduces topics su

From playlist Lecture Collection | Convex Optimization

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Xiao Fu - Multiview and Self-Supervised Representation Learning: Nonlinear Mixture Identification

Recorded 9 January 2023. Xiao Fu of Oregon State University presents "Understanding Multiview and Self-Supervised Representation Learning: A Nonlinear Mixture Identification Perspective" at IPAM's Explainable AI for the Sciences: Towards Novel Insights Workshop. Abstract: Central to repres

From playlist 2023 Explainable AI for the Sciences: Towards Novel Insights

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Stanford Seminar - Optimizing the Internet

Alan Huang October 19, 2022 Optimize the Internet by: • selecting a mathematically optimal network, such as a Banyan, Butterfly, or Perfect Shuffle; • increasing the redundancy and decreasing the fabric blocking of this network by adding an extra row; • decreasing the average number of “h

From playlist Stanford EE380-Colloquium on Computer Systems - Seminar Series

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What Is Ethereum Merge? | Ethereum Merge Explained in 7 minutes | Cryptocurrency | Simplilearn

In this video on "What Is Ethereum Merge?" will help you understand all the necessary details and concepts related to the launch of Ethereum Merge and how this idea came into existence. This video will help you get an idea over how "The Merge" is going to revolutionize the Crypto World wit

From playlist Blockchain Tutorial Videos 🔥[2022 Updated] | Simplilearn

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CERIAS Security: Digital Identity Management and Theft Protection 5/6

Clip 5/6 Speaker: Abhilasha Bhargav-Spantzel · Purdue University Digital identity management technology is fundamental in customizing user experience, protecting privacy, underpinning accountability and compliance in today For more information go to the Cerias website (http://bit.l

From playlist The CERIAS Security Seminars 2006

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Writing Proofs | Proof by Contradiction Example 2

We prove a statement using the method of proof by contradiction.

From playlist Abstract Algebra

Related pages

Mathematical logic | Mathematical proof