Linear algebra | Polyhedra | Linear programming | Lattice points | Polytopes
The study of integer points in convex polyhedra is motivated by questions such as "how many nonnegative integer-valued solutions does a system of linear equations with nonnegative coefficients have" or "how many solutions does an integer linear program have". Counting integer points in polyhedra or other questions about them arise in representation theory, commutative algebra, algebraic geometry, statistics, and computer science. The set of integer points, or, more generally, the set of points of an affine lattice, in a polyhedron is called Z-polyhedron, from the mathematical notation or Z for the set of integer numbers. (Wikipedia).
Find the number of sides of a regular polygon, given the measure of one interior ang
๐ Learn how to determine the number of sides of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines. A regular polygon is a polygon whose sides are congruent (equal). The interior angle of a polygon is the angle between two sides of the polygon. For a
From playlist Number of Sides of a Regular Polygon
Given the measure of one interior angle find the number of sides for a polygon
๐ Learn how to determine the number of sides of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines. A regular polygon is a polygon whose sides are congruent (equal). The interior angle of a polygon is the angle between two sides of the polygon. For a
From playlist Number of Sides of a Regular Polygon
Dimitri Grigoryev - On a Tropical Version of the Jacobian Conjecture
We prove that, for a tropical rational map if for any point the convex hull of Jacobian matrices at smooth points in a neighborhood of the point does not contain singular matrices then the map is an isomorphism. We also show that a tropical polynomial map on the plane is an isomorphism if
From playlist Combinatorics and Arithmetic for Physics: 02-03 December 2020
Given the number of sides of a regular polygon find the measure of each interior angle
๐ Learn how to determine the measure of the interior angles of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines. A regular polygon is a polygon whose sides are congruent (equal). The interior angle of a polygon is the angle between two sides of the
From playlist One Interior Angle of a Polygon
Ngoc Mai Tran: Tropical solutions to hard problems in auction theory and neural networks, lecture I
Tropical mathematics is mathematics done in the min-plus (or max-plus) algebra. The power of tropical mathematics comes from two key ideas: (a) tropical objects are limits of classical ones, and (b) the geometry of tropical objects is polyhedral. In this course, Iโll demonstrate how these
From playlist Summer School on modern directions in discrete optimization
Given the sum, find the meausre or a single interior angle of a regular polygon ex 1
๐ Learn how to determine the measure of the interior angles of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines. A regular polygon is a polygon whose sides are congruent (equal). The interior angle of a polygon is the angle between two sides of the
From playlist One Interior Angle of a Polygon
How to determine the number of sides given one interior angle
๐ Learn how to determine the number of sides of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines. A regular polygon is a polygon whose sides are congruent (equal). The interior angle of a polygon is the angle between two sides of the polygon. For a
From playlist Number of Sides of a Regular Polygon
Combinatorics and Geometry to Arithmetic of Circle Packings - Nakamura
Speaker: Kei Nakamura (Rutgers) Title: Combinatorics and Geometry to Arithmetic of Circle Packings Abstract: The Koebe-Andreev-Thurston/Schramm theorem assigns a conformally rigid fi-nite circle packing to a convex polyhedron, and then successive inversions yield a conformally rigid infin
From playlist Mathematics
Lecture 15: General & Edge Unfolding
MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This lecture begins with describing polyhedron unfolding for convex and nonconvex polygons. Algorithms for shortest path solutions
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
๐ Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
How to determine the number of sides of a polygon when given the sum of interior ang
๐ Learn how to determine the number of sides of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines. A regular polygon is a polygon whose sides are congruent (equal). The interior angle of a polygon is the angle between two sides of the polygon. For a
From playlist Number of Sides of a Regular Polygon
How to determine the number of sides of a regular polygon, given one interior angle
๐ Learn how to determine the number of sides of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines. A regular polygon is a polygon whose sides are congruent (equal). The interior angle of a polygon is the angle between two sides of the polygon. For a
From playlist Number of Sides of a Regular Polygon
Live CEOing Ep 186: Polyhedra in Wolfram Language
Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Polyhedra in the Wolfram Language.
From playlist Behind the Scenes in Real-Life Software Design
How to find the individual measurement of an interior angle for a regular dodecagon
๐ Learn how to determine the measure of the interior angles of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines. A regular polygon is a polygon whose sides are congruent (equal). The interior angle of a polygon is the angle between two sides of the
From playlist One Interior Angle of a Polygon
Thin Groups and Applications - Alex Kontorovich
Analysis and Beyond - Celebrating Jean Bourgain's Work and Impact May 21, 2016 More videos on http://video.ias.edu
From playlist Analysis and Beyond
Kazuo Murota: Discrete Convex Analysis (Part 3)
The lecture was held within the framework of the Hausdorff Trimester Program: Combinatorial Optimization
From playlist HIM Lectures 2015
Haotian Jiang: Minimizing Convex Functions with Integral Minimizers
Given a separation oracle SO for a convex function f that has an integral minimizer inside a box with radius R, we show how to find an exact minimizer of f using at most โข O(n(n + log(R))) calls to SO and poly(n,log(R)) arithmetic operations, or โข O(nlog(nR)) calls to SO and exp(O(n)) ยท po
From playlist Workshop: Continuous approaches to discrete optimization
Eli Grigsby (11/13/19): On the topological expressiveness of neural networks
Title: On the topological expressiveness of neural networks Abstract: One can regard a (trained) feedforward neural network as a particular type of function f from R^n to R, where R^n is a (typically high-dimensional) Euclidean space parameterizing some data set, and the value f(x) of the
From playlist AATRN 2019
Nonlinear algebra, Lecture 11: "Semidefinite Programming", by Bernd Sturmfels
This is the eleventh lecture in the IMPRS Ringvorlesung, the advanced graduate course at the Max Planck Institute for Mathematics in the Sciences.
From playlist IMPRS Ringvorlesung - Introduction to Nonlinear Algebra
Determine the number of sides of a polygon when given the sum of interior angles ex
๐ Learn how to determine the number of sides of a regular polygon. A polygon is a plane shape bounded by a finite chain of straight lines. A regular polygon is a polygon whose sides are congruent (equal). The interior angle of a polygon is the angle between two sides of the polygon. For a
From playlist Number of Sides of a Regular Polygon