Algebraic structures

Affine monoid

In abstract algebra, a branch of mathematics, an affine monoid is a commutative monoid that is finitely generated, and is isomorphic to a submonoid of a free abelian group . Affine monoids are closely connected to convex polyhedra, and their associated algebras are of much use in the algebraic study of these geometric objects. (Wikipedia).

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What is an obtuse triangle

👉 Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl

From playlist Types of Triangles and Their Properties

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What is a perpendicular bisector

👉 Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl

From playlist Types of Triangles and Their Properties

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Novel Algebraic Operations for Affine Geometry | Algebraic Calculus One | Wild Egg

We introduce some novel conventions to help us set up the foundations of affine geometry. We learn about differences of points, sums of points and vectors, affine combinations and vector proportions. And then use these to state a number of important results from affine geometry, including

From playlist Algebraic Calculus One from Wild Egg

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What is a line bisector

👉 Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl

From playlist Types of Triangles and Their Properties

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Affine polygon rendering (quads, not triangles)

In https://youtu.be/hxOw_p0kLfI I illustrated how affine texture mapping (non perspective-corrected) appears “wonky” when the shape is not an equilateral. Some of this was because it was constructed from triangles. So what happens when we render any convex polygons and not just triangles?

From playlist 3D Rendering Tutorial

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The affine Hecke category is a monoidal colimit - James Tao

Geometric and Modular Representation Theory Seminar Topic: The affine Hecke category is a monoidal colimit Speaker: James Tao Affiliation: Massachusetts Institute of Technology Date: February 24, 2021 For more video please visit http://video.ias.edu

From playlist Seminar on Geometric and Modular Representation Theory

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Affine Transformations — Topic 27 of Machine Learning Foundations

In this video we use hands-on code demos in NumPy to carry out affine transformations, a particular type of matrix transformation that may adjust angles or distances between vectors, but preserves parallelism. These operations can transform the target tensor in a variety of ways including

From playlist Linear Algebra for Machine Learning

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Robert Cass: Perverse mod p sheaves on the affine Grassmannian

28 September 2021 Abstract: The geometric Satake equivalence relates representations of a reductive group to perverse sheaves on an affine Grassmannian. Depending on the intended application, there are several versions of this equivalence for different sheaf theories and versions of the a

From playlist Representation theory's hidden motives (SMRI & Uni of MĂĽnster)

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Matt SZCZESNY - Toric Hall Algebras and infinite-dimentional Lie algebras

The process of counting extensions in categories yields an associative (and sometimes Hopf) algebra called a Hall algebra. Applied to the category of Feynman graphs, this process recovers the Connes-Kreimer Hopf algebra. Other examples abound, yielding various combinatorial Hopf algebras.

From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday

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What are affine transformations?

Algorithm Archive: https://www.algorithm-archive.org/contents/affine_transformations/affine_transformations.html Github sponsors (Patreon for code): https://github.com/sponsors/leios Patreon: https://www.patreon.com/leiosos Twitch: https://www.twitch.tv/leioslabs Discord: https://discor

From playlist Algorithm Archive

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Two Geometric Realizations of the Affine Hecke Algebra IPablo Boixeda Alvarez

Geometric and Modular Representation Theory Seminar Topic: Two Geometric Realizations of the Affine Hecke Algebra I Speaker: Pablo Boixeda Alvarez Affiliation: Member, School of Mathematics Date: March 10, 2021 For more video please visit http://video.ias.edu

From playlist Seminar on Geometric and Modular Representation Theory

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What is an equilateral triangle

👉 Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl

From playlist Types of Triangles and Their Properties

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Helge Ruddat: Global smoothings of toroidal crossing varieties

HYBRID EVENT Recorded during the meeting "Faces of Singularity Theory " the November 23, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovis

From playlist Mathematical Physics

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Nadia Larsen: Equilibrium states for C*-algebras of right LCM monoids.

Talk by Nadia Larsen in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on October 13, 2020.

From playlist Global Noncommutative Geometry Seminar (Europe)

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What is a right triangle

👉 Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl

From playlist Types of Triangles and Their Properties

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Paul-André Melliès - A Functorial Excursion between Algebraic Geometry and Linear Logic

In this talk, I will use the functor of points approach to Algebraic Geometry to establish that every covariant presheaf X on the category of commutative rings — and in particular every scheme X — comes equipped “above it” with a symmetric monoidal closed category PshModX of presheaves of

From playlist Combinatorics and Arithmetic for Physics: special days

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David Ben-Zvi: Geometric Langlands correspondence and topological field theory - Part 2

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Algebraic and Complex Geometry

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Talk by Jonathan Wang (MIT, USA)

L-functions and Geometric Harmonic Analysis on Spherical Varieties

From playlist Seminars: Representation Theory and Number Theory

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What is an isosceles triangle

👉 Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl

From playlist Types of Triangles and Their Properties

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Marco Robalo - Motivic realisations of singularity categories and vanishing cycles

Abstract: In this talk I will explain a comparison result establishing an identification of the L-adic realisation of the dg-category of matrix factorisations of a Landau-Ginzburg model over a complete discrete valuation ring with potential induced by a uniformizer, with a 2-periodic versi

From playlist Algebraic Analysis in honor of Masaki Kashiwara's 70th birthday

Related pages

Cancellation property | Module (mathematics) | Convex geometry | Lattice (group) | Convex cone | Rank of a group | K-theory | Intersection (set theory) | Group (mathematics) | Algebra (ring theory) | Homomorphism | Group ring | Convex polytope | Free abelian group | Mathematics | Embedding | Ring (mathematics) | Abstract algebra | Universal property | Binary operation | Affine connection | Monoid | Recession cone