Algebraic structures | Ring theory

Semiring

In abstract algebra, a semiring is an algebraic structure similar to a ring, but without the requirement that each element must have an additive inverse. The term rig is also used occasionally—this originated as a joke, suggesting that rigs are rings without negative elements, similar to using rng to mean a ring without a multiplicative identity. Tropical semirings are an active area of research, linking algebraic varieties with piecewise linear structures. (Wikipedia).

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Semirings that are finite and have infinity

Semirings. You can find the simple python script here: https://gist.github.com/Nikolaj-K/f036fd07991fce26274b5b6f15a6c032 Previous video: https://youtu.be/ws6vCT7ExTY

From playlist Algebra

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Inner & Outer Semidirect Products Derivation - Group Theory

Semidirect products are a very important tool for studying groups because they allow us to break a group into smaller components using normal subgroups and complements! Here we describe a derivation for the idea of semidirect products and an explanation of how the map into the automorphism

From playlist Group Theory

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How To Calculate The Perimeter of a Semicircle

This video explains how to calculate the perimeter of a semicircle given the radius and diameter in two separate practice problems.

From playlist Pre-Algebra Video Playlist

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(ML 19.5) Positive semidefinite kernels (Covariance functions)

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From playlist Machine Learning

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An incredible semicircle problem!

A semicircle contains an inscribed semicircle dividing its diameter into two lengths a and b. Can you find the formula for the inscribed semicircle's diameter in terms of the lengths a and b? What is the locus of the center of the inscribed semicircle? Thanks to Nick from Greece for the su

From playlist Math Puzzles, Riddles And Brain Teasers

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Partialbruchzerlegung: Eine Einführung

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From playlist Theorie und Beweise

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Finding the perimeter of a semi-circle

This short video tutorial shows you how to find the perimeter of a semi-circle. For interactive applets, worksheets, and more videos, please visit http://fearlessmath.net ▪️▪️▪️ FOLLOW ME ON TWITTER ▪️▪️▪️ http://twitter.com/dhabecker

From playlist All about circles

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Semir Zeki - Aesthetic Cognitivism II: Intellectual Foundations

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From playlist Art Seeking Understanding - Closer To Truth - Core Topic

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Semir Zeki - Art and the Philosophy of Mind

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From playlist Art Seeking Understanding - Closer To Truth - Core Topic

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Semir Zeki - Neuroaesthetics: How the Brain Explains Art

Watch full broadcast episodes of Closer To Truth before they premiere. Join exclusive live discussions with top thinkers. Become a Closer To Truth Member today: https://bit.ly/3tzIXax What is happening in our brains when we perceive and appreciate the arts? What are the neural substrates

From playlist Art Seeking Understanding - Closer To Truth - Core Topic

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How to integrate by partial fractions

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From playlist A second course in university calculus.

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Darij Grinberg - Noncommutative Birational Rowmotion on Rectangles

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From playlist Combinatorics and Arithmetic for Physics: special days

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Dimitri Grigoryev - A Tropical Version of Hilbert Polynomial

We define Hilbert function of a semiring ideal of tropical polynomials in n variables. For n=1 we prove that it is the sum of a linear function and a periodic function (for sufficiently large values). The leading coefficient of the linear function equals the tropical entropy of the ideal.

From playlist Combinatorics and Arithmetic for Physics: special days

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Mike Boyle - Nonnegative matrices : Perron Frobenius theory and related algebra (Part 4)

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From playlist École d’été 2013 - Théorie des nombres et dynamique

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Mike Boyle - Nonnegative matrices : Perron Frobenius theory and related algebra (Part 1)

Lecture I. I’ll give a complete elementary presentation of the essential features of the Perron Frobenius theory of nonnegative matrices for the central case of primitive matrices (the "Perron" part). (The "Frobenius" part, for irreducible matrices, and finally the case for general nonnega

From playlist École d’été 2013 - Théorie des nombres et dynamique

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Mike Boyle - Nonnegative matrices : Perron Frobenius theory and related algebra (Part 2)

Nonnegative matrices : Perron Frobenius theory and related algebra (Part 2) Licence: CC BY NC-ND 4.0Lecture I. I’ll give a complete elementary presentation of the essential features of the Perron Frobenius theory of nonnegative matrices for the central case of primitive matrices (the "Perr

From playlist École d’été 2013 - Théorie des nombres et dynamique

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Optimization and Tropical Combinatorics (Lecture 2) by Michael Joswig

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From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

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Real Analysis: Partial Differentiation

This video is about partial differentiation.

From playlist Basics: Real Analysis

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