Measure theory | Measures (measure theory)
In mathematics, the concept of a measure is a generalization and formalization of geometrical measures (length, area, volume) and other common notions, such as mass and probability of events. These seemingly distinct concepts have many similarities and can often be treated together in a single mathematical context. Measures are foundational in probability theory, integration theory, and can be generalized to assume negative values, as with electrical charge. Far-reaching generalizations (such as spectral measures and projection-valued measures) of measure are widely used in quantum physics and physics in general. The intuition behind this concept dates back to ancient Greece, when Archimedes tried to calculate the area of a circle. But it was not until the late 19th and early 20th centuries that measure theory became a branch of mathematics. The foundations of modern measure theory were laid in the works of Émile Borel, Henri Lebesgue, Nikolai Luzin, Johann Radon, Constantin Carathéodory, and Maurice Fréchet, among others. (Wikipedia).
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 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 one variable ex 3, (2x - 4)/4x; 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
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
Evaluate an expression with one variable ex 5, 2(x - 3) - 5; x=-1
👉 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
Evaluating an expression with one variable ex 4, x - 3 - 7x; x = 10
👉 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
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
Ever heard of Quantum Operators and Commutators? (Explained for Beginners)!
What is a quantum operator? And just how useful are quantum commutators? Find out how they help us understand the Ehrenfest Theorem! Hi everyone, I'm back with a new video! This time it's the first in a two-part mini-series on one of the coolest theorems in quantum mechanics - Ehrenfest's
From playlist Quantum Physics by Parth G
The SECOND Most Important Equation in Quantum Mechanics: Eigenvalue Equation Explained for BEGINNERS
The second most important equation in quantum mechanics (in my opinion) is known as the Eigenvalue equation. Originally, it's found in a branch of mathematics known as linear algebra, but in this video we see how it can be used to represent the measurement of quantum systems. We start by
From playlist Quantum Physics by Parth G
Ideas for a Complex World - Anna Seigal
Science is full of smart tools for explaining the world around us. But those tools can sometimes feel far removed from the way the rest of us understand that world. How can we reconcile the two approaches? Oxford Mathematician Anna Seigal provides some pertinent answers in this Oxford Math
From playlist Oxford Mathematics Public Lectures
What is a Function in Math and Physics? (A more intuitive explanation of Function Definition)
0:00 Introduction 3:35 Examples of functions and why we care 14:55 Make own function 19:12 Definition of a function 21:48 Outro
From playlist Summer of Math Exposition Youtube Videos
Online-Vortrag "Blick in den Körper: Über das Inverse und medizinische Bildgebung" (Director's Cut)
Aufzeichnung (Director's Cut): Prof. Dr. Benedikt Wirth erläutert im Rahmen der öffentlichen Reihe "Brücken in der Mathematik" die mathematischen Konzepte hinter der medizinischen Bildgebung. Darum geht es: Moderne Technik erlaubt den Blick in den Körper, ohne ihn zu öffnen. Es wird sozu
From playlist Brücken in der Mathematik
Online-Vortrag "Blick in den Körper: Über das Inverse und medizinische Bildgebung" (Livestream)
Der Vortrag beginnt bei Minute 10:20! Aufzeichnung des Livestreams (inkl. Livechat). Teil der Vortragsreihe "Brücken in der Mathematik" des Exzellenzclusters Mathematik Münster, diesmal mit Prof. Dr. Benedikt Wirth. Dies ist die Original-Aufzeichnung des Livestreams. Hier finden Sie den "
From playlist Brücken in der Mathematik
Why Momentum in Quantum Physics is Complex
In classical physics, we are used to calculating an object's momentum by multiplying its mass by its velocity. But how do we deal with momentum in Quantum Mechanics, where we commonly deal with wave functions? A wave function is a mathematical function that contains all the information we
From playlist Quantum Physics by Parth G
You've Heard of SPIN - But How Is it Encoded in the Math of Quantum Physics? Parth G
The concept of Spin is hard, but the mathematics is actually quite simple! In this video I wanted to take a look at how we build up our mathematical representation (or at least one of them) of quantum mechanical spin. To do this, we'll start by looking at the spin of an electron, and unde
From playlist Quantum Physics by Parth G
Evaluate an expression with three 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
(IC 1.6) A different notion of "information"
An informal discussion of the distinctions between our everyday usage of the word "information" and the information-theoretic notion of "information". A playlist of these videos is available at: http://www.youtube.com/playlist?list=PLE125425EC837021F Attribution for image of TV static:
From playlist Information theory and Coding