Solitons | Stability theory

Derrick's theorem

Derrick's theorem is an argument by physicist G.H. Derrickwhich shows that stationary localized solutions to a or nonlinear Klein–Gordon equationin spatial dimensions three and higher are unstable. (Wikipedia).

Video thumbnail

Cayley-Hamilton Theorem Example 2

Matrix Theory: Let A be the 3x3 matrix A = [1 2 2 / 2 0 1 / 1 3 4] with entries in the field Z/5. We verify the Cayley-Hamilton Theorem for A and compute the inverse of I + A using a geometric power series.

From playlist Matrix Theory

Video thumbnail

Calculus - The Fundamental Theorem, Part 3

The Fundamental Theorem of Calculus. Specific examples of simple functions, and how the antiderivative of these functions relates to the area under the graph.

From playlist Calculus - The Fundamental Theorem of Calculus

Video thumbnail

Calculus - The Fundamental Theorem, Part 2

The Fundamental Theorem of Calculus. A discussion of the antiderivative function and how it relates to the area under a graph.

From playlist Calculus - The Fundamental Theorem of Calculus

Video thumbnail

Calculus - The Fundamental Theorem, Part 1

The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.

From playlist Calculus - The Fundamental Theorem of Calculus

Video thumbnail

A Beautiful Proof of Ptolemy's Theorem.

Ptolemy's Theorem seems more esoteric than the Pythagorean Theorem, but it's just as cool. In fact, the Pythagorean Theorem follows directly from it. Ptolemy used this theorem in his astronomical work. Google for the historical details. Thanks to this video for the idea of this visual

From playlist Mathy Videos

Video thumbnail

Marco Streng: Generators for the group of modular units for Γ1(N) over the rationals

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Number Theory

Video thumbnail

Cayley-Hamilton Theorem: Example 1

Matrix Theory: We verify the Cayley-Hamilton Theorem for the real 3x3 matrix A = [ / / ]. Then we use CHT to find the inverse of A^2 + I.

From playlist Matrix Theory

Video thumbnail

How Do Oil Pumpjacks Work?

Thanks for watching! This video takes a look at pumpjacks, colloquially referred to as Oil Derricks and oil horses. “Oil derricks” themselves are the hoisting structure used for drilling. After the oil well is tapped, then these pump jacks are used to extract the oil. For anyone who has e

From playlist Concerning Questions

Video thumbnail

Classify a polynomial then determining if it is a polynomial or not

👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio

From playlist Is it a polynomial or not?

Video thumbnail

5b Hamilton Paths & Circuits

5b Hamilton Paths & Circuits

From playlist Graph Theory

Video thumbnail

Cayley-Hamilton Theorem: General Case

Matrix Theory: We state and prove the Cayley-Hamilton Theorem over a general field F. That is, we show each square matrix with entries in F satisfies its characteristic polynomial. We consider the special cases of diagonal and companion matrices before giving the proof.

From playlist Matrix Theory

Video thumbnail

MongoDB Tutorial

Get the Code Here : http://goo.gl/yb7k5x Best MongoDB Book : http://amzn.to/1Qcaqcf Support me on Patreon : https://www.patreon.com/derekbanas Welcome to my MongoDB Tutorial. In this tutorial, I'll show you how to install MongoDB on both Windows and Mac. We'll also cover how to use Mongo

From playlist NodeJS Tutorial

Video thumbnail

Remembering John Conway - Part 2

Bay Area Artists and Mathematicians - BAAM! with Gathering 4 Gardner - G4G present Remembering John Conway Mathematician John Horton Conway died of COVID-19 on April 11, 2020. On April 25th, the Bay Area Artists and Mathematicians (BAAM!) hosted an informal Zoom session to share memories

From playlist Tributes & Commemorations

Video thumbnail

Determining if a function is a polynomial or not then determine degree and LC

👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio

From playlist Is it a polynomial or not?

Video thumbnail

Elisa Lorenzo Garcia : On smooth plane models for modular curves of Shimura type

CONFERENCE Recording during the thematic meeting : "COUNT, COmputations and their Uses in Number Theory" the February 27, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks given by worldwide mathematici

From playlist Algebraic and Complex Geometry

Video thumbnail

The Case of Eugenie Boisfontaine

In 1997, 34-year-old Eugenie Boisfontaine was found dead in a bayou. Her murderer was never found. Now, 18 years later, the case has been re-opened by the Iberville Parish Sheriff's Office. Don't miss the season premiere of KILLING FIELDS Tuesday Jan 5 at 10/9c on Discovery. http://www.di

From playlist Killing Fields

Video thumbnail

Hydrodynamics and Transport of Soft Pions in Heavy Ion Collisions by Alexander Soloviev

DISCUSSION MEETING EXTREME NONEQUILIBRIUM QCD (ONLINE) ORGANIZERS: Ayan Mukhopadhyay (IIT Madras) and Sayantan Sharma (IMSc Chennai) DATE & TIME: 05 October 2020 to 09 October 2020 VENUE: Online Understanding quantum gauge theories is one of the remarkable challenges of the mille

From playlist Extreme Nonequilibrium QCD (Online)

Video thumbnail

What is the remainder theorem for polynomials

👉 Learn about the remainder theorem and the factor theorem. The remainder theorem states that when a polynomial is divided by a linear expression of the form (x - k), the remainder from the division is equivalent to f(k). Similarly, when a polynomial is divided by a linear expression of th

From playlist Remainder and Factor Theorem | Learn About

Video thumbnail

Determining if a equation is a polynomial or not

👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio

From playlist Is it a polynomial or not?

Video thumbnail

Deepwater Horizon In Their Own Words (Full Episode) | In Their Own Words

Deepwater Horizon: In Their Own Words presents the harrowing story of how a crew of oil rig workers escaped a massive fire in the Gulf of Mexico. Watch more Nat Geo Documentaries now on Disney+: https://www.disneyplus.com/brand/national-geographic ➡ Subscribe: http://bit.ly/NatGeoSubscri

From playlist Full Episodes | National Geographic

Related pages

Functional (mathematics) | Hamiltonian system | Linear stability | Soliton | Pokhozhaev's identity | Distribution (mathematics) | Orbital stability | Vakhitov–Kolokolov stability criterion | Instability