Combinatorics

Disjunct matrix

In mathematics, a logical matrix may be described as d-disjunct and/or d-separable. These concepts play a pivotal role in the mathematical area of non-adaptive group testing. In the mathematical literature, d-disjunct matrices may also be called super-imposed codes or d-cover-free families. According to Chen and Hwang (2006), * A matrix is said to be d-separable if no two sets of d columns have the same boolean sum. * A matrix is said to be -separable (that's d with an overline) if no two sets of d-or-fewer columns have the same boolean sum. * A matrix is said to be d-disjunct if no set of d columns has a boolean sum which is a superset of any other single column. The following relationships are "well-known": * Every -separable matrix is also -disjunct. * Every -disjunct matrix is also -separable. * Every -separable matrix is also -separable (by definition). (Wikipedia).

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Ex: Determinant of a 2x2 Matrix

This video provides two examples of calculating a 2x2 determinant. One example contains fractions. Site: http://mathispower4u.com

From playlist The Determinant of a Matrix

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Definition of a Zero Divisor with Examples of Zero Divisors

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Zero Divisor with Examples of Zero Divisors - Examples of zero divisors in Z_m the ring with addition modulo m and multiplication modulo m. Examples are done with Z_8 and Z_4. - Example of a zero divisor with the D

From playlist Abstract Algebra

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Adjugate Matrix

In this video, I define the notion of adjugate matrix and use it to calculate A-1 using determinants. This is again beautiful in theory, but inefficient in examples. Adjugate matrix example: https://youtu.be/OFykHi0idnQ Check out my Determinants Playlist: https://www.youtube.com/playlist

From playlist Determinants

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What is a Matrix?

What is a matrix? Free ebook http://tinyurl.com/EngMathYT

From playlist Intro to Matrices

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The Identity Matrix

This video introduces the identity matrix and illustrates the properties of the identity matrix. http://mathispower4u.yolasite.com/ http://mathispower4u.wordpress.com/

From playlist Introduction to Matrices and Matrix Operations

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Diagonal Matrices

This video defines a diagonal matrix and then explains how to determine the inverse of a diagonal matrix (if possible) and how to raise a diagonal matrix to a power. Site: mathispower4u.com Blog: mathispower4u.wordpress.com

From playlist Introduction to Matrices and Matrix Operations

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Ex: Determine if a 3x3 Matrix is Invertible (nonsingular) Using a Determinant

This video explains how to use a determinant to determine if a 3x3 matrix is invertible. http://mathispower4u.com

From playlist The Determinant of a Matrix

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Ex: Determine if a 2x2 Matrix is Invertible (nonsingular) Using a Determinant

This video explains how to use a determinant to determine if a 2x2 matrix is invertible. http://mathispower4u.com

From playlist The Determinant of a Matrix

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MATH2018 Lecture 6.2 Special Matrices

We look at the properties of invertible matrices, symmetric matrices, and orthogonal matrices, and discuss some important relationships between them.

From playlist MATH2018 Engineering Mathematics 2D

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Discrete Math - 2.6.3 Zero-One Matrices

Zero-One matrices, meet, join and Boolean product. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz

From playlist Discrete Math I (Entire Course)

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Implication and Biconditional Statements

The definition of implication and biconditional connectives along with some laws for working with them, plus the definition of tautology and contradiction. (In the part I got hung up on in the video, "p is necessary for q" can be read "p if q" (or "if q, then p"), and "p is sufficient fo

From playlist Linear Algebra

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Monotone Circuit Lower Bounds from Resolution - Mika Goos

Computer Science/Discrete Mathematics Seminar II Topic: Monotone Circuit Lower Bounds from Resolution Speaker: Mika Goos Affiliation: Member, School of Mathematics Date: November 27, 2018 For more video please visit http://video.ias.edu

From playlist Mathematics

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8b. Ch. 3, Section 3.4. Introduction to Logic, Philosophy 10, UC San Diego - BSLIF

Video lecture corresponding to _Basic Sentential Logic and Informal Fallacies_, Chapter 3, Section 3.4. This is for the class Introduction to Logic, Philosophy 10, UC San Diego.

From playlist UC San Diego: PHIL 10 - Introduction to Logic | CosmoLearning.org Philosophy

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10.Ch. 4, Sections 4.1-4.5. Introduction to Logic, Philosophy 10, UC San Diego - BSLIF

Video lecture corresponding to _Basic Sentential Logic and Informal Fallacies_, Chapter 4, Sections 4.1 through 4.5. This is for the class Introduction to Logic, Philosophy 10, UC San Diego.

From playlist UC San Diego: PHIL 10 - Introduction to Logic | CosmoLearning.org Philosophy

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PreCalculus - Matrices & Matrix Applications (30 of 33) Find the Determinant of a 3x3 Matrix 1

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the determinant of a 3x3 matrix by breaking a 3x3 matrix into 3-2x2 matrices. Next video in the Matrices series can be seen at: http://youtu.be/WsoPIeJj4X4

From playlist Michel van Biezen: PRECALCULUS 12 - MATRICES

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5. Ch. 2, Sections 2.2 & 2.3. Introduction to Logic, Philosophy 10, UC San Diego - BSLIF

Video lecture corresponding to _Basic Sentential Logic and Informal Fallacies_, Chapter 2, Sections 2.2 & 2.3. This is for the class Introduction to Logic, Philosophy 10, UC San Diego.

From playlist UC San Diego: PHIL 10 - Introduction to Logic | CosmoLearning.org Philosophy

Related pages

Logical matrix | Journal of Combinatorial Theory | Group testing | Compressed sensing