Combinatorics | Families of sets | Group theory
In mathematics, particularly in combinatorics, given a family of sets, here called a collection C, a transversal (also called a cross-section) is a set containing exactly one element from each member of the collection. When the sets of the collection are mutually disjoint, each element of the transversal corresponds to exactly one member of C (the set it is a member of). If the original sets are not disjoint, there are two possibilities for the definition of a transversal: * One variation is that there is a bijection f from the transversal to C such that x is an element of f(x) for each x in the transversal. In this case, the transversal is also called a system of distinct representatives (SDR). * The other, less commonly used, does not require a one-to-one relation between the elements of the transversal and the sets of C. In this situation, the members of the system of representatives are not necessarily distinct. In computer science, computing transversals is useful in several application domains, with the input family of sets often being described as a hypergraph. (Wikipedia).
Transcendental Functions 18 More Examples 1.mov
More example problems.
From playlist Transcendental Functions
Transcendental Functions 1 Introduction.mov
Transcendental Functions in Calculus.
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Transcendental Functions 3 Examples using Properties of Logarithms.mov
Examples using the properties of logarithms.
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Transcendental Functions 18 More Examples 2.mov
More example problems.
From playlist Transcendental Functions
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From playlist Introducing linear algebra
Transcendental Functions 17 The Indefinite Integral of 1 over u du Example 2.mov
More example problems involving the integral of 1 over u, du.
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Transcendental Functions 19 The Function a to the power x.mp4
The function a to the power x.
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Transcendental Functions 9 One More Property of Logarithms.mov
Another logarithmic property.
From playlist Transcendental Functions
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From playlist CMSA Combinatorics Seminar
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From playlist Parallel Lines and a Transversal
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From playlist Analysis and Beyond
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From playlist Mathematics
Karim Alexander Adiprasito - 4/6 - Lefschetz, Hodge and combinatorics...
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From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
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From playlist Algebraic and Complex Geometry
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From playlist Tony Yue Yu - The Frobenius Structure Conjecture for Log Calabi-Yau Varieties
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From playlist Mathematics
Rose Kaplan-Kelly: Right-angled Links in Thickened Surfaces
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From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
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From playlist Global Noncommutative Geometry Seminar (Americas)
Transcendental Functions 17 The Indefinite Integral of 1 over u du Example 1.mov
Example problems involving the integral of u to the power negative 1 du.
From playlist Transcendental Functions