Mathematical optimization | Theoretical computer science | Boolean algebra

Analysis of Boolean functions

In mathematics and theoretical computer science, analysis of Boolean functions is the study of real-valued functions on or (such functions are sometimes known as pseudo-Boolean functions) from a spectral perspective. The functions studied are often, but not always, Boolean-valued, making them Boolean functions. The area has found many applications in combinatorics, social choice theory, random graphs, and theoretical computer science, especially in hardness of approximation, property testing, and PAC learning. (Wikipedia).

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Analysis of Boolean Functions on Association Schemes - Yuval Filmus

Yuval Filmus Member, School of Mathematics September 23, 2014 More videos on http://video.ias.edu

From playlist Mathematics

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The Boole Mobius transform | MathFoundations 270 | N J Wildberger

In this video we present the beginnings of an exciting new insight into the relationship between Boolean functions and Boole polynumbers. It turns out that linear algebra can be applied, and that a remarkable transform given by a linear operator, which we call the Boole-Mobius transform, m

From playlist Boole's Logic and Circuit Analysis

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Combinatorics of Boolean Functions, and Some Applications - Gil Kalai

Analysis and Beyond - Celebrating Jean Bourgain's Work and Impact May 23, 2016 More videos on http://video.ias.edu

From playlist Analysis and Beyond

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Boolean Algebra 2 – Simplifying Complex Expressions

This video follows on from the one about the laws of Boolean algebra. It explains some useful interpretations of the laws of Boolean algebra, in particular, variations of the annulment and distributive laws. It goes on to demonstrate how Boolean algebra can be applied to simplify comple

From playlist Boolean Algebra

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Linear Functions

Define a linear function. Determine if a linear function is increasing or decreasing. Interpret linear function models. Determine linear functions. Site: http://mathispower4u.com

From playlist Introduction to Functions: Function Basics

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Boolean Algebra: Sample Problems

In this video, I work through some sample problems relating to Boolean algebra. Specific, I work through examples of translating equivalences from logical or set notation to Boolean notation, and also a derivation using Boolean equivalences.

From playlist Discrete Mathematics

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The Monomial Structure of Boolean Functions - Shachar Lovett

Workshop on Additive Combinatorics and Algebraic Connections Topic: The Monomial Structure of Boolean Functions Speaker: Shachar Lovett Affiliation: University of California, San Diego Date: October 25, 2022  Let f:0,1n to 0,1 be a boolean function. It can be uniquely represented as a mu

From playlist Mathematics

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Python for Data Analysis: Basic Data Types

This video covers the basic data types built into Python including integers, floats, strings, booleans and None. This is lesson 3 of a 30-part introduction to the Python programming language for data analysis and predictive modeling. Link to the code notebook below: Python for Data Analy

From playlist Python for Data Analysis

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Boolean function analysis: beyond the Boolean cube - Yuval Filums

http://www.math.ias.edu/seminars/abstract?event=128828 More videos on http://video.ias.edu

From playlist Mathematics

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(New Version Available) Inverse Functions

New Version: https://youtu.be/q6y0ToEhT1E Define an inverse function. Determine if a function as an inverse function. Determine inverse functions. http://mathispower4u.wordpress.com/

From playlist Exponential and Logarithmic Expressions and Equations

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Boolean function analysis: beyond the Boolean cube (continued) - Yuval Filmus

http://www.math.ias.edu/seminars/abstract?event=129061 More videos on http://video.ias.edu

From playlist Mathematics

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PMSP - Quasi-random boolean functions, and inapproximability - Ryan O'Donnell

Ryan O'Donnell Carnegie Mellon University June 17, 2010 For more videos, visit http://video.ias.edu

From playlist Mathematics

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Data Analysis in R by Dustin Tran

Data has increasingly become crucial for solving problems in industry and research. R provides a powerful and flexible toolkit for this sort of analysis: statistical modeling, machine learning, visualization, and the fundamental process of importing and manipulating data. This seminar will

From playlist CS50 Seminars 2014

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Data Analysis with Python - Full Course for Beginners (Numpy, Pandas, Matplotlib, Seaborn)

Learn Data Analysis with Python in this comprehensive tutorial for beginners, with exercises included! NOTE: Check description for updated Notebook links. Data Analysis has been around for a long time, but up until a few years ago, it was practiced using closed, expensive and limited tool

From playlist Data Science

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24. Probabilistic Computation (cont.)

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. Simulated read-once branching programs

From playlist MIT 18.404J Theory of Computation, Fall 2020

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What's New in Pandas 1.0.0 | Python Pandas New Features | Python Training | Edureka

🔥Edureka Python Certification Training: https://www.edureka.co/data-science-python-certification-course This Edureka video on 'What's New In Pandas 1.0.0' will guide you through the various new features, changes and performance enhancements in the new pandas 1.0.0 release. Following are th

From playlist Python Programming Tutorials | Edureka

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Canonical forms for logic circuits | Math Foundations 263 | N J Wildberger

A key problem in circuit analysis is to associate to a logical circuit, typically made of logic gates such as AND, OR, NOT, XOR, NAND and NOR, an algebraic expression that captures the effect of that circuit on all possible inputs. Such an effect is called a Boolean function, and it acts o

From playlist Boole's Logic and Circuit Analysis

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Describing Functions (Discrete Math)

This video covered the various ways to describe functions in a discrete math class.

From playlist Functions (Discrete Math)

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Logarithmic Sobolev inequalities | Functional analysis | Property testing | Theoretical computer science | Semidefinite programming | Cumulative distribution function | Group (mathematics) | Hamming graph | Continuous-time Markov chain | Arrow's impossibility theorem | Hardness of approximation | Combinatorics | Boolean function | Discrete uniform distribution | Probably approximately correct learning | Hermite polynomials | Percolation | Mathematics | Pseudo-Boolean function | Unique games conjecture | Mehler kernel | Lipschitz continuity | Social choice theory | Discrete Laplace operator | Random graph | Expected value | Lp space | Ornstein–Uhlenbeck process | Maximum cut | Fourier transform | Hadamard transform | Gaussian measure | Berry–Esseen theorem