Vectors (mathematics and physics)
In mathematics and physics, vector is a term that refers colloquially to some quantities that cannot be expressed by a single number (a scalar), or to elements of some vector spaces. Historically, vectors were introduced in geometry and physics (typically in mechanics) for quantities that have both a magnitude and a direction, such as displacements, forces and velocity. Such quantities are represented by geometric vectors in the same way as distances, masses and time are represented by real numbers. The term vector is also used, in some contexts, for tuples, which are finite sequences of numbers of a fixed length. Both geometric vectors and tuples can be added and scaled, and these vector operations led to the concept of a vector space, which is a set equipped with a vector addition and a scalar multiplication that satisfy some axioms generalizing the main properties of operations on the above sorts of vectors. A vector space formed by geometric vectors is called a Euclidean vector space, and a vector space formed by tuples is called a coordinate vector space. Many vector spaces are considered in mathematics, such as extension field, polynomial rings, algebras and function spaces. The term vector is generally not used for elements of these vectors spaces, and is generally reserved for geometric vectors, tuples, and elements of unspecified vector spaces (for example, when discussing general properties of vector spaces). (Wikipedia).
Linear Algebra for Computer Scientists. 1. Introducing Vectors
This computer science video is one of a series on linear algebra for computer scientists. This video introduces the concept of a vector. A vector is essentially a list of numbers that can be represented with an array or a function. Vectors are used for data analysis in a wide range of f
From playlist Linear Algebra for Computer Scientists
Vector Calculus 1: What Is a Vector?
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Vector Calculus
A short refresher on vectors. Before I introduce vector-based functions, it's important to look at vectors themselves and how they are represented in python™ and the IPython Notebook using SymPy.
From playlist Life Science Math: Vectors
Multivariable Calculus | The notion of a vector and its length.
We define the notion of a vector as it relates to multivariable calculus and define its length. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Vectors for Multivariable Calculus
What exactly is a vector? | Arithmetic and Geometry Math Foundations 30 | N J Wildberger
The notion of vector is here made completely explicit. Vectors arise in physics as forces, positions, velocities, accelerations, torques, displacements. It is useful to distinguish between points and vectors; they are different types of mathematical objects. In particular the position of a
From playlist Math Foundations
Physical Science 1.7a - Vectors
Vectors. Some things are inherently directional in nature. These things are called vectors, as opposed to scalars, which are non-directional.
From playlist Physical Science Chapter 1 (Complete chapter)
Vectors | Lecture 1 | Vector Calculus for Engineers
Defines vectors, vector addition and vector subtraction. Join me on Coursera: https://www.coursera.org/learn/vector-calculus-engineers Lecture notes at http://www.math.ust.hk/~machas/vector-calculus-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_con
From playlist Vector Calculus for Engineers
Calculus 3: Vector Calculus in 2D (17 of 39) What is the Position Vector?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is the position vector. The position vector indicates the position of a particle relative to the origin. The position usually depends on, or is a function of, a parametric variable (ex. t
From playlist CALCULUS 3 CH 3 VECTOR CALCULUS
QED Prerequisites Geometric Algebra: Introduction and Motivation
This lesson is the beginning of a significant diversion from QED prerequisites. No student needs to understand Geometric Algebra in order to begin the study of QED. However, since we have pushed the formal structure of Maxwell's Equations as far as I know how to go, I think it makes sense
From playlist QED- Prerequisite Topics
We DON'T Understand Magnetism (According to Quantum Mechanics) - Aharonov-Bohm Effect by Parth G
The first 1000 people to use the link will get a free trial of Skillshare Premium Membership: https://skl.sh/parthg06211 Scientists have often thought that magnetic (and electric) fields are fundamental quantities that relate to real, physical, observable things in the universe. And they
From playlist Quantum Physics by Parth G
The Language of Quantum Physics is Strange | PHYSICS EXPLAINED
This is how Quantum Physicists communicate their ideas Hi guys, so I wanted to make a video explaining some of the notation used by quantum physicists to describe their ideas. There is a reason why things are written the way they are, and it is interesting to see these reasons, in my opin
From playlist Quantum Physics by Parth G
Galileo, Newton and motions of particles | Algebraic Calculus One | Wild Egg
Physics is a main motivator for the calculus, and here we introduce a historical aspect to the early role of physics in the foundations of calculus, particularly focussing on the work of Galileo and Newton with regard to the motion of particles. This is part of the Algebraic Calculus One
From playlist Algebraic Calculus One from Wild Egg
What is a vector? We gently introduce the i and j basis vectors and the idea of a column vector is presented. The algebra of addition, subtraction and scalar multiplication is discussed. Free ebook Free ebook https://bookboon.com/en/introduction-to-vectors-ebook (updated link) Take a sh
From playlist Introduction to Vectors
Lecture 1 | The Theoretical Minimum
(January 9, 2012) Leonard Susskind provides an introduction to quantum mechanics. Stanford University: http://www.stanford.edu/ Stanford Continuing Studies: http://continuingstudies.stanford.edu/ Stanford University Channel on YouTube: http://www.youtube.com/stanford
From playlist Lecture Collection | The Theoretical Minimum: Quantum Mechanics
Steven Wittens' talk for Full Frontal 2012 For years the web has been happy playing in the sandbox that was the browser, locked away from all the things that native apps could do. But now we've grown up, and we have WebGL, Canvas, Web Audio, Media Capture and more. To really exploit this
From playlist Full Frontal 2012
Lecture 2 | Quantum Entanglements, Part 1 (Stanford)
Lecture 2 of Leonard Susskind's course concentrating on Quantum Entanglements (Part 1, Fall 2006). Recorded October 2, 2006 at Stanford University. This Stanford Continuing Studies course is the first of a three-quarter sequence of classes exploring the "quantum entanglements" in modern
From playlist Course | Quantum Entanglements: Part 1 (Fall 2006)
Lec 5 - Phys 237: Gravitational Waves with Kip Thorne
Watch the rest of the lectures on http://www.cosmolearning.com/courses/overview-of-gravitational-wave-science-400/ Redistributed with permission. This video is taken from a 2002 Caltech on-line course on "Gravitational Waves", organized and designed by Kip S. Thorne, Mihai Bondarescu and
From playlist Caltech: Gravitational Waves with Kip Thorne - CosmoLearning.com Physics
What Is A Tensor Lesson #1: Elementary vector spaces
We define a vector space and lay the foundation of a solid understanding of tensors.
From playlist What is a Tensor?
Séminaires du Magistère de Mathématiques 2015 - Jean-Pierre Demailly
Bulles de savons, équations d'Einstein et structure de l'espace temps 8 octobre 2015
From playlist Séminaires du Magistère de Mathématiques