A scalar is an element of a field which is used to define a vector space.In linear algebra, real numbers or generally elements of a field are called scalars and relate to vectors in an associated vector space through the operation of scalar multiplication (defined in the vector space), in which a vector can be multiplied by a scalar in the defined way to produce another vector. Generally speaking, a vector space may be defined by using any field instead of real numbers (such as complex numbers). Then scalars of that vector space will be elements of the associated field (such as complex numbers). A scalar product operation – not to be confused with scalar multiplication – may be defined on a vector space, allowing two vectors to be multiplied in the defined way to produce a scalar. A vector space equipped with a scalar product is called an inner product space. A quantity described by multiple scalars, such as having both direction and magnitude, is called a vector.The term scalar is also sometimes used informally to mean a vector, matrix, tensor, or other, usually, "compound" value that is actually reduced to a single component. Thus, for example, the product of a 1 × n matrix and an n × 1 matrix, which is formally a 1 × 1 matrix, is often said to be a scalar.The real component of a quaternion is also called its scalar part. The term scalar matrix is used to denote a matrix of the form kI where k is a scalar and I is the identity matrix. (Wikipedia).
Evaluating an expression with two variables ex 5, (bc)^2; b = 4; c = 8
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
How to evaluate an expression three terms
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
Evaluate an expression with two variables ex 4, (2b)^2 c
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
I still don't get it evaluating expressions
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
Evaluating an expression with one variable ex 7, w^2 - 3w + 10; w = 4
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
Evaluating an expression with one variable ex 6, (3p - 5)^2; p = 3
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
Evaluate an expression with one variable ex2, 2x + 3 - 2; x=5
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
Evaluating an expression with two variables ex 3, (2a + 2b)^2; a = 3; b = 4
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
The Potential to Make Electric Fields Easier to Deal With | Electromagnetism by Parth G
Some mathematical identities combined with Maxwell's equations allow us to define electric and magnetic potentials... but why are they useful? Hi everyone! In a recent video, I talked about how the magnetic vector potential was a different way to view magnetic fields, and why Quantum Mech
From playlist Classical Physics by Parth G
16/11/2015 - Jean-Pierre Bourguignon - General Relativity and Geometry
https://philippelefloch.files.wordpress.com/2015/11/2015-ihp-jpbourguignon.pdf Abstract. Physics and Geometry have a long history in common, but the Theory of General Relativity, and theories it triggered, have been a great source of challenges and inspiration for geometers. It started eve
From playlist 2015-T3 - Mathematical general relativity - CEB Trimester
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
Geometric Algebra, First Course, Episode 03: Relative Magnitudes and Scalars.
We grow our Vector to be a Scalar + Vector as we examine how to divide a geometric quantity by another. We see that it is OK to divide quantities that have the same aspect ("direction") even though we don't know how to calculate absolute magnitudes.
From playlist Geometric Algebra, First Course, in STEMCstudio
A Swift Introduction to Geometric Algebra
This video is an introduction to geometric algebra, a severely underrated mathematical language that can be used to describe almost all of physics. This video was made as a presentation for my lab that I work in. While I had the people there foremost in my mind when making this, I realiz
From playlist Miscellaneous Math
Mathematics for ML | Edureka | ML Rewind - 5
🔥Machine Learning Training with Python: https://www.edureka.co/machine-learning-certification-training This Edureka video on 'Mathematics for Machine Learning' teaches you all the math needed to get started with mastering Machine Learning. It teaches you all the necessary topics and concep
From playlist Machine Learning Tutorial in Python | Edureka
Field Equations - Potential Formulation of electric field
In this lesson we complete our detailed justification for the potential formulation of the electric and magnetic field, focusing on the scalar potential. The last lesson ended abruptly and this lesson completes the topic. In our next lesson we convert Maxwell's equations from the electric/
From playlist QED- Prerequisite Topics
Geometry - Scalar Triple Product: Oxford Mathematics 1st Year Student Lecture
To give an insight in to life in Oxford Mathematics we are greatly increasing the number of undergraduate lectures that we are making available. This Geometry lecture from Professor Derek Moulton is taken from his First Year course. This course revisits some ideas encountered in high scho
From playlist Oxford Mathematics 1st Year Student Lectures
Poisson's Equation for Beginners: LET THERE BE GRAVITY and How It's Used in Physics | Parth G
The first 1000 people to use the link will get a free trial of Skillshare Premium Membership: https://skl.sh/parthg03211 The Poisson equation has many uses in physics... so we'll be understanding the basics of the mathematics behind it, and then applying it to the study of classical grav
From playlist Classical Physics by Parth G
Evaluate a linear expression for two variables
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
The Earth's Dynamo: a Mathematical Model - Susan Friedlander
Members’ Colloquium Topic: The Earth's Dynamo: a Mathematical Model Speaker: Susan Friedlander Affiliation: University of Southern California; Member, School of Mathematics Date: April 05, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Evaluating an expression with one variable ex 8, (-x^2 +1)/3; x = 3
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations