Figurate numbers | Lattice points | Polynomials | Polytopes
In mathematics, an integral polytope has an associated Ehrhart polynomial that encodes the relationship between the volume of a polytope and the number of integer points the polytope contains. The theory of Ehrhart polynomials can be seen as a higher-dimensional generalization of Pick's theorem in the Euclidean plane. These polynomials are named after Eugène Ehrhart who studied them in the 1960s. (Wikipedia).
Counting Integer Points in Polygons with Negative Numbers | A 'moral' Intro to Generating Functions
Turn on the subtitles for the BEST experience. :) 0:00 - Introduction 5:17 - Section 1: The What and Why of Generating Functions 15:18 - Section 2: Finding GFs for Lattice Counting Functions 34:11 - Section 3: Substituting Negative Numbers 47:46 - Section 4: The Finale 58:09 - Conclusion
From playlist Summer of Math Exposition 2 videos
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From playlist Differential Equations
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From playlist Mathematics
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From playlist Summer of Math Exposition 2 videos
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From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
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From playlist Combinatorics
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From playlist Geometry
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From playlist Differential Equations
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From playlist Is it a polynomial or not?
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SHM 18/10/2019 - Ouverture par Sylvie Benzoni et introduction par Christian Gilain et Hélène Gispert
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From playlist Séminaire d'Histoire des Mathématiques
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From playlist Differential Equations
C36 Example problem solving a Cauchy Euler equation
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From playlist Differential Equations
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We solve a second order differential equation known as an Euler equation. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Differential Equations
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From playlist Workshop on Algebraic Complexity Theory 2019
Superpolynomial Lower Bounds Against Low-Depth Algebraic Circuits I... - Srikanth Srinivasan
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From playlist Mathematics
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From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications
Determining if a function is a polynomial or not then determine degree and LC
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From playlist Is it a polynomial or not?