Vector calculus | Differential operators | Linear operators in calculus

Divergence

In vector calculus, divergence is a vector operator that operates on a vector field, producing a scalar field giving the quantity of the vector field's source at each point. More technically, the divergence represents the volume density of the outward flux of a vector field from an infinitesimal volume around a given point. As an example, consider air as it is heated or cooled. The velocity of the air at each point defines a vector field. While air is heated in a region, it expands in all directions, and thus the velocity field points outward from that region. The divergence of the velocity field in that region would thus have a positive value. While the air is cooled and thus contracting, the divergence of the velocity has a negative value. (Wikipedia).

Divergence
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Calculus 3: Divergence and Curl (4 of 32) What is the Divergence? Part 2

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is the divergence using a conceptual approach. Next video in the series can be seen at: https://youtu.be/8qsxlUIrdd0

From playlist CALCULUS 3 CH 8 DIVERGENCE AND CURL

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What is the divergence?

Free ebook http://tinyurl.com/EngMathYT A basic introduction to the divergence of a vector field - one of the basic operations of vector calculus. I discuss how to calculate the divergence and its physical connection with flux density. Plenty of examples are discussed.

From playlist Engineering Mathematics

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24: Divergence - Valuable Vector Calculus

In-depth explanation of divergence formula: https://youtu.be/W--29EqUSl0 Explanation of the definition of divergence of a vector field. What does divergence mean? How do we calculate divergence? We'll also talk about some geometric meaning to the formula for divergence. Full Valuable Vec

From playlist Valuable Vector Calculus

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Divergence of a vector field: Vector Calculus

Free ebook http://tinyurl.com/EngMathYT I present a simple example where I compute the divergence of a given vector field. I give a rough interpretation of the physical meaning of divergence. Such an example is seen in 2nd year university mathematics courses.

From playlist Engineering Mathematics

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Calculus 3: Divergence and Curl (6 of 32) What is the Divergence? Part 4

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is the divergence using a non-linear example where F=(x^2)i. Next video in the series can be seen at: https://youtu.be/dyWeTKHFlg8

From playlist CALCULUS 3 CH 8 DIVERGENCE AND CURL

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The Divergence of a Vector Field: Sources and Sinks

This video introduces the divergence operator from vector calculus, which takes a vector field (like the fluid flow of air in a room) and returns a scalar field quantifying how much the vector field is locally expanding or contracting at every point. The divergence is a fundamental buildi

From playlist Engineering Math: Vector Calculus and Partial Differential Equations

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What is the divergence? Chris Tisdell UNSW

This video discusses the 'divergence' of a vector field. Divergence is one of the basic operations of vector calculus and, loosely speaking, may be thought of as a type of derivative in vector calculus. Dr Chris Tisdell introduces the idea of divergence, discusses some examples and als

From playlist Vector Calculus @ UNSW Sydney. Dr Chris Tisdell

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nth term divergence test | Series | AP Calculus BC | Khan Academy

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series-new/bc-10-3/v/divergence-test If the terms of an infinite series don't approach zero, the series must diverge. Learn more about this test

From playlist Series | AP Calculus BC | Khan Academy

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Omar Fawzi: "New quantum Rényi divergences and applications"

Entropy Inequalities, Quantum Information and Quantum Physics 2021 "New quantum Rényi divergences and applications" Omar Fawzi - École Normale Supérieure de Lyon Abstract: I will discuss new quantum Rényi divergences defined via a convex optimization program and their applications to qua

From playlist Entropy Inequalities, Quantum Information and Quantum Physics 2021

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Jeremiah Birrell (U Mass) -- Interpolating Between f-Divergences and Wasserstein Metrics

I will present a general framework for constructing new information-theoretic divergences that interpolate between and combine crucial properties of both Wasserstein metrics and f-divergences. Specifically, these divergences are nontrivial in the presence of heavy tails and when there is a

From playlist Northeastern Probability Seminar 2020

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Ignat Soroko: Divergence in Coxeter Groups

Ignat Soroko, Florida State University Title: Divergence in Coxeter Groups Divergence of a metric space is an interesting quasi-isometry invariant of the space which measures how geodesic rays diverge outside of a ball of radius r, as a function of r. Divergence of a finitely generated gr

From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022

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Divergence of series -- Calculus II

This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist Calculus II

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The Divergence Theorem // Geometric Intuition & Statement // Vector Calculus

In this video we get to the last major theorem in our playlist on vector calculus: The Divergence Theorem. We've actually already seen the two-dimensional analog when we studied the Divergence or Flux form of Green's Theorem. Now we upgrade to the three-dimensional situation where we have

From playlist Calculus IV: Vector Calculus (Line Integrals, Surface Integrals, Vector Fields, Greens' Thm, Divergence Thm, Stokes Thm, etc) **Full Course**

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Divergence Test For Series - Calculus 2

This calculus 2 video tutorial provides a basic introduction into the divergence test for series. To perform the divergence test, take the limit as n goes to infinity for the sequence An. If the limit doesn't equal, then the series diverges. If the limit equals 0, the series may converge

From playlist New Calculus Video Playlist

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