Discrete geometry | Computational geometry

Arrangement (space partition)

In discrete geometry, an arrangement is the decomposition of the d-dimensional linear, affine, or projective space into connected cells of different dimensions, induced by a finite collection of geometric objects, which are usually of dimension one less than the dimension of the space, and often of the same type as each other, such as hyperplanes or spheres. (Wikipedia).

Arrangement (space partition)
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Partitions (#MegaFavNumbers)

A brief introduction to partitions and combinatorics. This video is part of the #MegaFavNumbers project. More videos can be found here: https://www.youtube.com/playlist?list=PLar4u0v66vIodqt3KSZPsYyuULD5meoAo

From playlist MegaFavNumbers

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into to adjacent angles

definition of adjacent angles

From playlist Common Core Standards - 8th Grade

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What are adjacent angles and linear pairs

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What are adjacent angles

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From playlist Angle Relationships

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Matthias Lenz, Research talk - 11 February 2015

Matthias Lenz (University of Oxford) - Research talk http://www.crm.sns.it/course/4484/ Formulas of Khovanskii-Pukhlikov, Brion-Vergne, and De Concini-Procesi-Vergne relate the volume with the number of integer points in a convex polytope. In this talk I will refine these formulas and tal

From playlist Algebraic topology, geometric and combinatorial group theory - 2015

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Persi Diaconis - From Shuffling Cards to Walking Around the Building [ICM 1998]

ICM Berlin Videos 27.08.1998 From Shuffling Cards to Walking Around the Building Persi Diaconis Mathematics and ORIE, Cornell University, Ithaca, USA: Statistics, Probability, Algebraic Combinatorics Thu 27-Aug-98 · 14:00-15:00 h Abastract: https://www.mathunion.org/fileadmin/IMU/Video

From playlist Number Theory

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Quantitative bounds on the topology of semi-algebraic and (...) - S. Basu - Workshop 1 - CEB T1 2018

Saugata Basu (Purdue) / 02.02.2018 Quantitative bounds on the topology of semi-algebraic and definable sets I will survey some old and new results on bounding the topology of semi-algebraic and definable sets in terms of various parameters of their defining formulas, and indicate how som

From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields

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From playlist Angle Relationships From a Figure

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Roy Meshulam (6/27/17) Bedlewo: Concurrency Theory and Subspace Arrangements

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From playlist Applied Topology in Będlewo 2017

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Chern classes of Schubert cells and varieties - June Huh

June Huh Princeton University; Veblen Fellow, School of Mathematics March 30, 2015 Chern-Schwartz-MacPherson class is a functorial Chern class defined for any algebraic variety. I will give a geometric proof of a positivity conjecture of Aluffi and Mihalcea that Chern classes of Schubert

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Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi Be sure to check out It's OK to be Smart's video on nature's love of hexagons https://youtu.be/Pypd_yKGYpA And try CuriosityStream today: http://curiositystream.com/inf

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Topology: Metric Spaces

This video is about metric spaces and some of their basic properties.

From playlist Basics: Topology

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The Topology of Restricted Partition Posets - Richard Ehrenborg

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Singular Learning Theory - Seminar 28 - Matt Farrugia-Roberts on his MSc thesis Pt 3

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From playlist Singular Learning Theory

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From playlist Combinatorics and Arithmetic for Physics: Special Days 2022

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Bénédicte Haas : Introduction aux processus de fragmentation 1/2

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From playlist Probability and Statistics

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Motion planning | Algebraic surface | Complex number | Abstract cell complex | Hyperplane | Discrete geometry | Computational geometry | Projective geometry | Vector space | Sphere | Convex polygon | Affine geometry