Discrete geometry

Discrete geometry

Discrete geometry and combinatorial geometry are branches of geometry that study combinatorial properties and constructive methods of discrete geometric objects. Most questions in discrete geometry involve finite or discrete sets of basic geometric objects, such as points, lines, planes, circles, spheres, polygons, and so forth. The subject focuses on the combinatorial properties of these objects, such as how they intersect one another, or how they may be arranged to cover a larger object. Discrete geometry has a large overlap with convex geometry and computational geometry, and is closely related to subjects such as finite geometry, combinatorial optimization, digital geometry, discrete differential geometry, geometric graph theory, toric geometry, and combinatorial topology. (Wikipedia).

Discrete geometry
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What is Discrete Mathematics?

This video explains what is taught in discrete mathematics.

From playlist Mathematical Statements (Discrete Math)

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Discrete Structures, Oct 20: Counting

Combinations, Permutations, Pigeonhole Principle

From playlist Discrete Structures

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Formal Definition of a Function using the Cartesian Product

Learning Objectives: In this video we give a formal definition of a function, one of the most foundation concepts in mathematics. We build this definition out of set theory. **************************************************** YOUR TURN! Learning math requires more than just watching vid

From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)

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Maths for Programmers: Introduction (What Is Discrete Mathematics?)

Transcript: In this video, I will be explaining what Discrete Mathematics is, and why it's important for the field of Computer Science and Programming. Discrete Mathematics is a branch of mathematics that deals with discrete or finite sets of elements rather than continuous or infinite s

From playlist Maths for Programmers

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Lecture 11: Discrete Curves (Discrete Differential Geometry)

Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg

From playlist Discrete Differential Geometry - CMU 15-458/858

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Intro to Discrete Math - Welcome to the Course!

Welcome to Discrete Math. This is the start of a playlist which covers a typical one semester class on discrete math. I chat a little about why I love discrete math, what you should expect, and how an online discrete math course is structured. FULL PLAYLIST: https://www.youtube.com/watch

From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)

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INTRODUCTION to SET THEORY - DISCRETE MATHEMATICS

Today we introduce set theory, elements, and how to build sets. This video is an updated version of the original video released over two years ago. Hopefully the higher pen quality and refined explanations are beneficial for your learning. If you'd like to see more videos redone in the se

From playlist Discrete Math 1

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The formal definition of a sequence.

We have an intuitive picture of sequences (infinite ordered lists). But there is a formal definition of sequences based out of the idea of a specific function between sets, specifically from the positive integers to the real numbers. ►Full DISCRETE MATH Course Playlist: https://www.youtu

From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)

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[Discrete Mathematics] Surjective Functions Examples

In these video we look at onto functions and do a counting problem. LIKE AND SHARE THE VIDEO IF IT HELPED! Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIz

From playlist Discrete Math 1

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Lecture 1: Overview (Discrete Differential Geometry)

Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg

From playlist Discrete Differential Geometry - CMU 15-458/858

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Lecture 14: Discrete Surfaces (Discrete Differential Geometry)

Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg

From playlist Discrete Differential Geometry - CMU 15-458/858

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The Discrete Charm of Geometry by Alexander Bobenko

Kaapi with Kuriosity The Discrete Charm of Geometry Speaker: Alexander Bobenko (Technical University of Berlin) When: 4pm to 6pm Sunday, 22 July 2018 Where: J. N. Planetarium, Sri T. Chowdaiah Road, High Grounds, Bangalore Discrete geometric structures (points, lines, triangles, recta

From playlist Kaapi With Kuriosity (A Monthly Public Lecture Series)

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Wolfgang Schief: A canonical discrete analogue of classical circular cross sections of ellipsoids

Abstract: Two classical but perhaps little known facts of "elementary" geometry are that an ellipsoid may be sliced into two one-parameter families of circles and that ellipsoids may be deformed into each other in such a manner that these circles are preserved. In fact, as an illustration

From playlist Integrable Systems 9th Workshop

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Lecture 20: Geodesics (Discrete Differential Geometry)

Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg

From playlist Discrete Differential Geometry - CMU 15-458/858

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Lecture 9: Discrete Exterior Calculus (Discrete Differential Geometry)

Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz0hIrNCMQW1YmZysAiIYSSS For more information see http://geometry.cs.cmu.edu/ddg

From playlist Discrete Differential Geometry - CMU 15-458/858

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Schemes 22: Valuation rings

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne.. We review valuation rings. We give a few examples of discrete and non-discrete valuation rings, and give a brief sketch of how non-discrete valuation rings us

From playlist Algebraic geometry II: Schemes

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Feng Luo: Recent developments in discrete conformal geometry of surfaces

CATS 2021 Online Seminar Feng Luo, Rutgers University Abstract: Discrete conformal geometry of surfaces attempts to establish computable discretizations of classical Riemann surface theory. This talk will focus on answering questions like, what are the discrete conformal equivalences a

From playlist Computational & Algorithmic Topology (CATS 2021)

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[Discrete Mathematics] Discrete Probability

We talk about sample spaces, events, and probability. Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz Discrete Mathematics 2: https://www.

From playlist Discrete Math 2

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Q&A with Calculus Developers: Live with the R&D team

Presentation starts at 1:00 In this stream, Devendra and Daniel answer Calculus & Algebra give a glimpse of recent and upcoming features in symbolic calculus, many of which have been motivated by frequent requests from users and then answer related questions from the community." Follow us

From playlist Live with the R&D Team

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