Quadratic forms | Matrix theory | Theorems in linear algebra
Sylvester's law of inertia is a theorem in matrix algebra about certain properties of the coefficient matrix of a real quadratic form that remain invariant under a change of basis. Namely, if A is the symmetric matrix that defines the quadratic form, and S is any invertible matrix such that D = SAST is diagonal, then the number of negative elements in the diagonal of D is always the same, for all such S; and the same goes for the number of positive elements. This property is named after James Joseph Sylvester who published its proof in 1852. (Wikipedia).
Εxperimental exploration of Newton's second law in rotary motion!
This video tutorial provides a basic introduction into inertia. Inertia is the property of an object to resist changes in its state of motion. According to Newton's First Law of motion, objects at rest tend to stay at rest and objects in motion tend to stay in motion unless acted on by a n
From playlist MECHANICS
Inertia: What it is and what it is not?
Describes what inertia is and some common misconceptions about inertia. You can see a listing of all my videos at my website, http://www.stepbystepscience.com
From playlist Mechanics
You've heard the term - inertia. You may know the "Law" - the law of inertia. But do you know what inertia means? The Physics Classroom clears up any confusion and provides clarity on what is meant by inertia. Using a mix of demonstrations experiments, animations, and examples, the concept
From playlist Newton's Laws Video Tutorial Series
Julius Sumner Miller Lesson 2: Newton's First Law of Motion - Inertia
The MASS of a body is a measure of its inertia. The WEIGHT of a body is the FORCE with which the Earth pulls on it. MASS is - as we say -invariant - it is the same everywhere; WEIGHT varies from place to place. NEWTON'S FIRST LAW has to do with INERTIA. It says this: A body at re
From playlist Julius Sumner Miller - Full Physics Laboratory Demonstrations
Physics - Mechanics: Moment of Inertia (1 of 7) Parallel Axis Theorem: Example 1
Visit http://ilectureonline.com for more math and science lectures! In this video I will find the moment of inertia of 2 spheres connected by a rod rotated about the center of the rod. Next video in the moment of inertia series: http://youtu.be/swi7U6Q9pF0
From playlist PHYSICS 12 MOMENT OF INERTIA
Inertia - Basic Introduction, Torque, Angular Acceleration, Newton's Second Law, Rotational Motion
This video tutorial provides a basic introduction into inertia. Inertia is the property of an object to resist changes in its state of motion. According to Newton's First Law of motion, objects at rest tend to stay at rest and objects in motion tend to stay in motion unless acted on by a
From playlist New Physics Video Playlist
MAST30026 Lecture 20: Hilbert space (Part 1)
I defined inner product spaces, proved the Cauchy-Schwartz inequality and that any inner product space gives rise to a normed space, defined Hilbert spaces and proved that in a Hilbert space given a vector and a closed, convex nonempty subset there is a closest point in the subset to the v
From playlist MAST30026 Metric and Hilbert spaces
Physics - Mechanics: Moment of Inertia (1 of 6) Introductory Concept
Visit http://ilectureonline.com for more math and science lectures! In this first of the six-part video I will introduce the concept of moment of inertia, later I will derive equations and solve problems of moment of inertia.
From playlist PHYSICS 12 MOMENT OF INERTIA
Abolition, Black Religions, & US Empire
Yale's "Religion and US Empire" seminar taught by Professors Zareena Grewal and Tisa Wenger hosts a discussion on Abolition, Black Religions, and US Empire with Professors Sylvester Johnson (Virginia Tech, author of African American Religions), Josh Dubler (U of Rochester) & Vincent Lloyd
From playlist Center for the Study of Race, Indigeneity, and Transnational Migration (RITM)
This Was Yesterday - Reel 2 (1955)
This reel shows dance crazes and music hall actors. This copy has been transferred from print - neg transferred on tape PM2869 - neg version will be better quality. Pathe retrospective. This reel shows dance crazes and music hall actors. Library material used should be found in more
From playlist THE JAZZ AGE
I Prove a Theorem and the House Expands: Geometry and Poetry, Jordan Ellenberg
When famed author and mathematician Jordan Ellenberg wrote a book about geometry, he found himself, surprisingly, constantly talking about poetry. In this virtual talk, he covers various subjects, including Wordsworth’s friendship with the mathematician William Rowan Hamilton; Andrey Mar
From playlist Franke Program in Science and the Humanities
Giorgi Ottaviani: Effective aspects of the geometry of tensors - Lecture 1
HYBRID EVENT Recorded during the meeting "French Computer Algebra Days" the February 28, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiov
From playlist Algebraic and Complex Geometry
Seminar In the Analysis and Methods of PDE (SIAM PDE): Alexander Kiselev
Title: The Flow of Polynomial Roots Under Differentiation Date: Thursday, June 2, 2022, 11:30 am EDT Speaker: Alexander Kiselev, Duke University Abstract: The question of how roots of polynomials move under differentiation is classical. Contributions to this subject have been made by Gaus
From playlist Seminar In the Analysis and Methods of PDE (SIAM PDE)
David Sylvester: The Making of an Art Critic 1941-1956
John-Paul Stonard (Independent Scholar) The art critic David Sylvester (1924-2001) launched his career during the Second World War, writing for Tribune Magazine, and meeting artists and writers in London during the Blitz. His experiences, which can be reconstructed from his own unpublished
From playlist "In the Same Boat”: British and American Visual Culture During the Second World War
Peter Benner: Matrix Equations and Model Reduction, Lecture 5
Peter Benner from the Max Planck Institute presents: Matrix Equations and Model Reduction; Lecture 5
From playlist Gene Golub SIAM Summer School Videos
Physics - Mechanics: Moment of Inertia (6 of 7) Moment of Inertia of a Box: 2 Methods
Visit http://ilectureonline.com for more math and science lectures! In this video I will find the moment of inertia of a box. Next video in the moment of inertia series: http://youtu.be/FKyBL1LLz_4
From playlist PHYSICS 12 MOMENT OF INERTIA
Sylvester-Gallai Problem for Quadratic Polynomials by Shir Peleg-Schatzman
Discussion Meeting Workshop on Algebraic Complexity Theory  ORGANIZERS Prahladh Harsha, Ramprasad Saptharishi and Srikanth Srinivasan DATE & TIME 25 March 2019 to 29 March 2019 VENUE Madhava Lecture Hall, ICTS Bangalore Algebraic complexity aims at understanding the computationa
From playlist Workshop on Algebraic Complexity Theory 2019
Calculus 3: Tensors (13 of 45) What is the Inertia Tensor?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the inertia tensor relating the physical inertia activity and the tensor component notation. Next video in the series can be seen at: https://youtu.be/-chgCHuEI4Y
From playlist CALCULUS 3 CH 10 TENSORS