Abstract algebra | Binary operations

External (mathematics)

The term external is useful for describing certain algebraic structures. The term comes from the concept of an external binary operation which is a binary operation that draws from some external set. To be more specific, a left external binary operation on S over R is a function and a right external binary operation on S over R is a function where S is the set the operation is defined on, and R is the external set (the set the operation is defined over). (Wikipedia).

Video thumbnail

Reliability 1: External reliability and rater reliability and agreement

In this video, I discuss external reliability, inter- and intra-rater reliability, and rater agreement.

From playlist Reliability analysis

Video thumbnail

The problem with `functions' | Arithmetic and Geometry Math Foundations 42a

[First of two parts] Here we address a core logical problem with modern mathematics--the usual definition of a `function' does not contain precise enough bounds on the nature of the rules or procedures (or computer programs) allowed. Here we discuss the difficulty in the context of funct

From playlist Math Foundations

Video thumbnail

Definition of an Injective Function and Sample Proof

We define what it means for a function to be injective and do a simple proof where we show a specific function is injective. Injective functions are also called one-to-one functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear https://amzn.to/3BFvcxp (these are my affil

From playlist Injective, Surjective, and Bijective Functions

Video thumbnail

How does mathematics describe the physical features of the world?

Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https://twitter.com/worldscienceu

From playlist Science Unplugged: Mathematics

Video thumbnail

Group Definition (expanded) - Abstract Algebra

The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to contin

From playlist Abstract Algebra

Video thumbnail

Definition of a Surjective Function and a Function that is NOT Surjective

We define what it means for a function to be surjective and explain the intuition behind the definition. We then do an example where we show a function is not surjective. Surjective functions are also called onto functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear ht

From playlist Injective, Surjective, and Bijective Functions

Video thumbnail

What is mathematics?

Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https://twitter.com/worldscienceu

From playlist Science Unplugged: Mathematics

Video thumbnail

The realm of natural numbers | Data structures in Mathematics Math Foundations 155

Here we look at a somewhat unfamiliar aspect of arithmetic with natural numbers, motivated by operations with multisets, and ultimately forming a main ingredient for that theory. We look at natural numbers, together with 0, under three operations: addition, union and intersection. We will

From playlist Math Foundations

Video thumbnail

Mathematica 8: Performance

New compiler technology optimizes execution performance directly from the Mathematica language using two key innovations: automatic code generation and linking, and automated multicore parallelism. This enhances Mathematica's rapid application development workflow to enable final deploymen

From playlist Mathematica 8 Feature Spotlights

Video thumbnail

Rafał Kulik: Blocks estimators in Extreme Value Theory

Rafał Kulik, University of Ottawa 10 November 2022 Abstract: Extreme value theory deals with large values and rare events. These large values tend to cluster in case of temporal dependence. This clustering behaviour is widely observed in practice. I will start with a mild introduction to

From playlist SMRI Seminars

Video thumbnail

了解卡尔曼滤波器——状态观测器

卡尔曼滤波器是一种优化估算算法,在不确定和间接测量的情况下估算系统状态。 观看视频示例,了解卡尔曼滤波器背后的工作原理。本视频介绍了解状态观测器的工作原理,并解释其背后的数学原理。 在无法直接测量时,使用状态观测器估算系统的内部状态。 使用 MATLAB 和 Simulink 设计和使用卡尔曼滤波器:https://bit.ly/2GXwjxG 了解 Control System Toolbox:https://bit.ly/2BWJECb 获取免费试用版,30 天探索触手可及:https://bit.ly/2IPvqcc 观看更多 MATLAB 和 Simulink

From playlist 卡尔曼滤波器(Kalman Filters)

Video thumbnail

Mod-01 Lec-04 Examples Continued II

Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.

From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics

Video thumbnail

State Observers | Understanding Kalman Filters, Part 2

Download our Kalman Filter Virtual Lab to practice linear and extended Kalman filter design of a pendulum system with interactive exercises and animations in MATLAB and Simulink: https://bit.ly/3g5AwyS Learn the working principles of state observers, and discover the math behind them. Sta

From playlist Understanding Kalman Filters

Video thumbnail

4 Synthetic A Priori Judgments - Kant's Critique of Pure Reason (Dan Robinson)

Dan Robinson gives the 4th lecture in a series of 8 on Immanuel Kant's Critique of Pure Reason. All 8 lectures: https://www.youtube.com/playlist?list=PLhP9EhPApKE_OdgqNgL0AJX9-gwr4tmLw Kant claims that, "our sense representation is not a representation of things in themselves, but of th

From playlist Kant's Critique of Pure Reason - Dan Robinson

Video thumbnail

The Gang of Six in Control Theory | Control Systems in Practice

Check out the other videos in the series: Part 1 - What Does a Control Engineer Do? https://youtu.be/ApMz1-MK9IQ Part 2 - What Is Gain Scheduling? https://youtu.be/YiUjAV1bhKs Part 3 - What Is Feedforward Control? https://youtu.be/FW_ay7K4jPE Part 4 - Why Time Delay Matters https://youtu.b

From playlist Control Systems in Practice

Video thumbnail

Aneta Stefanovska - Time: How it matters - IPAM at UCLA

Recorded 31 August 2022. Aneta Stefanovska of Lancaster University presents "Time: How it matters?" at IPAM's Reconstructing Network Dynamics from Data: Applications to Neuroscience and Beyond. Abstract: The simplest definition of dynamics is the evolution of position in time and space. Fo

From playlist 2022 Reconstructing Network Dynamics from Data: Applications to Neuroscience and Beyond

Video thumbnail

Post-Talk Conversation, “Are Scientific Models Fictions? Model-Based Science as Epistemic Warfare”

Post-Talk Conversation between Lorenzo Magnani, Department of Humanities, Philosophy Section and Computational Philosophy Laboratory, University of Pavia, Italy and James Weatherall, Department of Logic and Philosophy of Science, University of California, Irvine. In the current epistemol

From playlist Franke Program in Science and the Humanities

Video thumbnail

My main YouTube Channel @GCSEALevelMaths

Advert for my YouTube channel!!

From playlist Entry Level Mathematics

Video thumbnail

Исследование наноструктур методом сильной связи в системе Mathematica

Василий Сороко Норвежский университет естественных и технических наук

From playlist Russian Virtual Conference 2019

Related pages

Category of sets | Exponentiation | Vector space | Dynamical system | Closure (mathematics) | Tensor product | Semimodule | Binary function | Identity element | Dot product | Permutation | Semigroup | Monoid | Multiplication | Element (mathematics) | Projection (set theory) | Scalar multiplication | Addition | Function (mathematics) | Field (mathematics) | Cartesian product | Ring (mathematics) | Cross product | Distributive property | Semiring | Flow (mathematics) | Matrix multiplication | Inner product space | Binary operation | Abelian group | Module (mathematics)