Ring theory | Algebraic structures | Algebras

Rng (algebra)

In mathematics, and more specifically in abstract algebra, a rng (or non-unital ring or pseudo-ring) is an algebraic structure satisfying the same properties as a ring, but without assuming the existence of a multiplicative identity. The term rng (IPA: /rʊŋ/) is meant to suggest that it is a ring without i, that is, without the requirement for an identity element. There is no consensus in the community as to whether the existence of a multiplicative identity must be one of the ring axioms (see Ring (mathematics) § History). The term rng was coined to alleviate this ambiguity when people want to refer explicitly to a ring without the axiom of multiplicative identity. A number of algebras of functions considered in analysis are not unital, for instance the algebra of functions decreasing to zero at infinity, especially those with compact support on some (non-compact) space. (Wikipedia).

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Algebra for Beginners | Basics of Algebra

#Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. Table of Conten

From playlist Linear Algebra

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11D The Norm of a Vector

The norm or length of a vector.

From playlist Linear Algebra

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11C The Norm of a Vector

The normal or length of a vector.

From playlist Linear Algebra

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13E A Matrix Equation for the Dot Product

Writing the Euclidean inner product in the form of matrix multiplication.

From playlist Linear Algebra

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7E The Elementary Matrix

The elementary matrix.

From playlist Linear Algebra

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Linear Transformations: Onto

Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.

From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics

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Nature of Code in Rust - Chapter 2 part 5

We create a bunch of planets and have them be attracted to each other! Links Code - [https://github.com/brooks-builds/nature_of_code_in_rust](https://github.com/brooks-builds/nature_of_code_in_rust) BBGGEZ Library - [https://github.com/brooks-builds/bbggez](https://github.com/broo

From playlist Nature of Code

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What is linear algebra?

This is part of an online course on beginner/intermediate linear algebra, which presents theory and implementation in MATLAB and Python. The course is designed for people interested in applying linear algebra to applications in multivariate signal processing, statistics, and data science.

From playlist Linear algebra: theory and implementation

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Nature of Code with Rust - Chapter 1 ecosystem project

We have finished chapter 1, so we are going to work on the ecosystem project. My idea is to create an arena where circles will act in ways that we have learned in the book. There will be food that they can eat which will grow the circle. Eating other circles will also be possible. Links

From playlist Nature of Code

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Nature of Code with Rust - perlin noise visualization

We create a visualization for random numbers, and then convert to using perlin noise! Links Code - https://github.com/brooks-builds/nature_of_code_in_rust Book - https://natureofcode.com/ Twitter - https://www.twitter.com/Brooks_Patton -- Watch live at https://www.twitch.tv/brookzerker

From playlist Nature of Code

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live stream archive (2018-11-30) Creating a game with Rust (the language)

Broadcasted live on Twitch -- Watch live at https://www.twitch.tv/brookzerker

From playlist Creating a battle royale code game with Rust

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RNT1.1. Definition of Ring

Ring Theory: We define rings and give many examples. Items under consideration include commutativity and multiplicative inverses. Example include modular integers, square matrices, polynomial rings, quaternions, and adjoins of algebraic and transcendental numbers.

From playlist Abstract Algebra

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Linear Algebra for Computer Scientists. 12. Introducing the Matrix

This computer science video is one of a series of lessons about linear algebra for computer scientists. This video introduces the concept of a matrix. A matrix is a rectangular or square, two dimensional array of numbers, symbols, or expressions. A matrix is also classed a second order

From playlist Linear Algebra for Computer Scientists

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Nature of Code (Rust + GGEZ): Exercise I.6

We are re-starting the Nature of Code series! Brooks is re-reading the book and implementing the relevant examples and problems in Rust + GGEZ. Since he is going through the book after hours these will be YouTube Videos instead of live streams. Daniel Shiffman, the author of the book and

From playlist Nature of Code

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Game Programming Patterns part 21.2 - (Rust, GGEZ) Object Pool

We create a particle system in Rust and GGEZ! Links code - https://github.com/brooks-builds/learning_game_design_patterns twitter - https://twitter.com/brooks_patton book - http://gameprogrammingpatterns.com -- Watch live at https://www.twitch.tv/brookzerker

From playlist Game Programming Patterns Book

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Game Programming Patterns part 6.4 - (Rust) Flyweight Pattern

We implement the Flyweight game programming pattern into our Rust infinite runner. Links code - [https://github.com/brooks-builds/learning_game_design_patterns](https://github.com/brooks-builds/learning_game_design_patterns) twitter - [https://twitter.com/brooks_patton](https://tw

From playlist Game Programming Patterns Book

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Game Programming Patterns part 22.4 - (Rust, GGEZ) Spacial Partition

I finish creating the demo of the spacial partition chapter from game programming patterns. Links code - https://github.com/brooks-builds/learning_game_design_patterns twitter - https://twitter.com/brooks_patton book - http://gameprogrammingpatterns.com -- Watch live at https://www.twit

From playlist Game Programming Patterns Book

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The Price of Randomness - Balancing RNG - Extra Credits

Let's compare the RNG design in Hearthstone and Slay the Spire and figure out how we can design RNG for strategic difficulty without veering into completely frustrating players. Subscribe to Extra Credits for more episodes every Wednesday! http://bit.ly/SubToEC ___________ Get your Extra

From playlist Extra Credits: Game Design

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[Rust Programming] Learning to make a Roguelike - Day 92

[Recorded on 7 April 2022] I've been playing Roguelikes for many years, and I've always thought about making one! Combine that with a desire to learn Rust, and we've got a match made in heaven. This session was recorded live from twitch on 7 April. I'm using the Roguelike Tutorial which

From playlist [Rust Programming] Writing Roguelike using RLTK

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10A An Introduction to Eigenvalues and Eigenvectors

A short description of eigenvalues and eigenvectors.

From playlist Linear Algebra

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