Mathematical proofs | Probabilistic arguments
Probability theory routinely uses results from other fields of mathematics (mostly, analysis). The opposite cases, collected below, are relatively rare; however, probability theory is used systematically in combinatorics via the probabilistic method. They are particularly used for non-constructive proofs. (Wikipedia).
Ben discusses constructive and non-constructive proofs with examples.
From playlist Basics: Proofs
Introduction to Common Mathematical Proof Methods
This video introduces the common methods of mathematical proofs and provides a basic example of a direct proof. mathispower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
Introduction to Direct Proofs: If n is even, then n squared is even
This video introduces the mathematical proof method of direct proof provides an example of a direct proof. mathispower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
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)
Writing Proofs | Proof by Contradiction Example 2
We prove a statement using the method of proof by contradiction.
From playlist Abstract Algebra
Proof by Cases: For Any Integer, n^3-n is Odd
This video provides an introduction to the proof method of proof by cases mathispower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
Proofs by contradiction -- Proofs
This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.
From playlist Proofs
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)
Proof Exercise: Determine the Type of Proof to be Used
This video provides 3 examples of statements and which proof method should be used. mathispower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
Total Functions in the Polynomial Hierarchy - Robert Kleinberg
Computer Science/Discrete Mathematics Seminar I Topic: Total Functions in the Polynomial Hierarchy Speaker: Robert Kleinberg Affiliation: Cornell University Date: February 08, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Bálint Tóth - Invariance principle for random Lorentz (type) gasbeyond kinetics limit
Bálint Tóth (University of Bristol & Alfréd Rényi Institute of Mathematics) Invariance principle for random Lorentz gas beyond the Boltzmann-Grad limit. I will present a survey of invariance principles for the Lorentz gas and some related models, in a scaling regime going beyond the Bolt
From playlist Large-scale limits of interacting particle systems
The Abel lectures: László Lovász and Avi Wigderson
0:30 Introduction by the Abel Prize Committee Chair, Hans Munthe-Kaas 02:42 László Lovász: Continuous limits of finite structures 49:27 Questions and answers 1:00:31 Avi Wigderson: The Value of Errors in Proofs 1:41:24 Questions and answers 1:50:20 Final remarks by John Grue, Chair of the
From playlist Abel Lectures
CTNT 2018 - "The Biggest Known Prime Number" by Keith Conrad
This is lecture on "The Biggest Known Prime Number", by Keith Conrad, during CTNT 2018, the Connecticut Summer School in Number Theory. For more information about CTNT and other resources and notes, see https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2018 - Guest Lectures
Bayesian Inference by Program Verification - Joost-Pieter Katoen, RWTH Aachen University
In this talk, I will give a perspective on inference in Bayes' networks (BNs) using program verification. I will argue how weakest precondition reasoning a la Dijkstra can be used for exact inference (and more). As exact inference is NP-complete, inference is typically done by means of sim
From playlist Logic and learning workshop
The Biggest Known Prime Number - Keith Conrad [2018]
Slides for this talk: https://ctnt-summer.math.uconn.edu/wp-content/uploads/sites/1632/2018/05/mersennetalkCTNT.pdf May 29: Keith Conrad (UConn) Title: The Biggest Known Prime Number. Abstract: There are infinitely many primes, but at any moment there is a biggest known prime. Earlier t
From playlist Number Theory
Prime Numbers - What is Known and Unknown, by Keith Conrad
This talk by Keith Conrad (UConn) was part of UConn's Number Theory Day 2017.
From playlist Number Theory Day
23. Probabilistic Computation, BPP
MIT 18.404J Theory of Computation, Fall 2020 Instructor: Michael Sipser View the complete course: https://ocw.mit.edu/18-404JF20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60_JNv2MmK3wkOt9syvfQWY Quickly reviewed last lecture. Defined probabilistic Turing machines
From playlist MIT 18.404J Theory of Computation, Fall 2020
Diffeomorphism groups of critical regularity by Sang-hyun Kim
PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, India), Anish Ghosh (TIFR, Mumbai, India), Subhajit Goswami (TIFR, Mumbai, India) and Mahan M J (TIFR, Mumbai, India) DATE & TIME: 27 February 2023 to 10 March 2023 VENUE: Madhava Lecture Hall
From playlist PROBABILISTIC METHODS IN NEGATIVE CURVATURE - 2023
Proof by Contradiction: There are infinitely many primes
This video provides an example of proof by contradiction. mathispower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
Derandomization and its connections throughout complexity theory - Roei Tell
Computer Science/Discrete Mathematics Seminar II Topic: Derandomization and its connections throughout complexity theory Speaker: Roei Tell Affiliation: Member, School of Mathematics Date: February 15, 2022 This is the first talk in a three-part series presented together with Lijie Ch
From playlist Mathematics