Algebraic structures | Ring theory
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).
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
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
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
(ML 19.5) Positive semidefinite kernels (Covariance functions)
Definition of a positive semidefinite kernel, or covariance function. A simple example. Explanation of terminology: autocovariance, positive definite kernel, stationary kernel, isotropic kernel, covariogram, positive definite function.
From playlist Machine Learning
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
Partialbruchzerlegung: Eine Einführung
Heute behandeln wir die Partialbruchzerlegung. Hierbei handelt es sich nur um eine kleine Einführung um die Verfahrensweise zu verstehen. An introduction to partial fraction decomposition - German version
From playlist Theorie und Beweise
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
Semir Zeki - Aesthetic Cognitivism II: Intellectual Foundations
Free access to Closer to Truth's library of 5,000 videos: http://bit.ly/376lkKN Aesthetic Cognitivism is a theory about the arts as sources of understanding. What are the scholarly or scientific fields that form its foundation? Explore art’s relationship with cognitive science, philosoph
From playlist Art Seeking Understanding - Closer To Truth - Core Topic
Semir Zeki - Art and the Philosophy of Mind
Can art inform the classic mind-body problem? While the relationship between mental activity and physical brain continues to baffle, can the existence and process of art provide insight? Free access to Closer to Truth's library of 5,000 videos: http://bit.ly/376lkKN Watch more intervie
From playlist Art Seeking Understanding - Closer To Truth - Core Topic
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
How to integrate by partial fractions
Free ebook http://bookboon.com/en/learn-calculus-2-on-your-mobile-device-ebook How to integrate by the method of partial fraction decomposition. In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is a fraction such that the numerator
From playlist A second course in university calculus.
Darij Grinberg - Noncommutative Birational Rowmotion on Rectangles
The operation of birational rowmotion on a finite poset has been a mainstay in dynamical algebraic combinatorics for the last 8 years. Since 2015, it is known that for a rectangular poset of the form [p]x[q], this operation is periodic with period p+q. (This result, as has been observed by
From playlist Combinatorics and Arithmetic for Physics: special days
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
Mike Boyle - Nonnegative matrices : Perron Frobenius theory and related algebra (Part 4)
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
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
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
Optimization and Tropical Combinatorics (Lecture 2) by Michael Joswig
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME 27 June 2022 to 08 July 2022 VENUE Madhava Lecture Hall and Online Algebraic geometry is the stud
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
Real Analysis: Partial Differentiation
This video is about partial differentiation.
From playlist Basics: Real Analysis