Theorems in algebra | Linear algebra | Matrix theory
In mathematics, the Haynsworth inertia additivity formula, discovered by Emilie Virginia Haynsworth (1916–1985), concerns the number of positive, negative, and zero eigenvalues of a Hermitian matrix and of block matrices into which it is partitioned. The inertia of a Hermitian matrix H is defined as the ordered triple whose components are respectively the numbers of positive, negative, and zero eigenvalues of H. Haynsworth considered a partitioned Hermitian matrix where H11 is nonsingular and H12* is the conjugate transpose of H12. The formula states: where H/H11 is the Schur complement of H11 in H: (Wikipedia).
Find a General Solution to a Nonhomogeneous DE Using Undetermined Coefficients (Sine)
This video explains how to determine the general solution to a linear second order differential equation using the method of undetermined coefficients. http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients
Physics - Thermodynamics: States: (5 of 10) Ideal Gas Equation
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and show you how to find temperature using the ideal gas equation. Next video in this series can be seen at: https://youtu.be/SUzaH162LY4
From playlist PHYSICS - THERMODYNAMICS
Find a Particular Solution to a Nonhomgeneous DE Using Variation of Parameters
This video explains how to determine a particular solution to a linear second order differential equation using the method of variation of parameters. http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Variation of Parameters
Ex: Solve a Bernoulli Differential Equation Using Separation of Variables
This video explains how to solve a Bernoulli differential equation. http://mathispower4u.com
From playlist Bernoulli Differential Equations
Physics - Thermodynamics 2: Ch 32.1 Def. and Terms (9 of 23) What is the Gas Constant?
Visit http://ilectureonline.com for more math and science lectures! In this video I will give and explain what is the gas constant and how it was determined. Next video in this series can be seen at: https://youtu.be/8N8TN0L5xiQ
From playlist PHYSICS 32.1 THERMODYNAMICS 2 BASIC TERMS
Differential Equations | Variation of Parameters.
We derive the general form for a solution to a differential equation using variation of parameters. http://www.michael-penn.net
From playlist Differential Equations
The Campbell-Baker-Hausdorff and Dynkin formula and its finite nature
In this video explain, implement and numerically validate all the nice formulas popping up from math behind the theorem of Campbell, Baker, Hausdorff and Dynkin, usually a.k.a. Baker-Campbell-Hausdorff formula. Here's the TeX and python code: https://gist.github.com/Nikolaj-K/8e9a345e4c932
From playlist Algebra
Carla Farsi: Proper Lie Groupoids and their structures
Talk by Carla Farsi in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on June 24, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)
Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (13 of 92) Time & Position Dependencies 2/3
Visit http://ilectureonline.com for more math and science lectures! In this video I will find C=?, of the position part of the Schrodinger's equation by using the time dependent part of Schrodinger's equation, part 2/3. Next video in this series can be seen at: https://youtu.be/1mxipWt-W
From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION
Parallel Axis Theorem Part 2 | Statics
https://goo.gl/k1HiX1 for more FREE video tutorials covering Engineering Mechanics (Statics & Dynamics) This video, continuing straight from the previous video, very first clears its objective to find out the moment of inertias with respect to x axis. First part of the video presents the
From playlist SpoonFeedMe: Engineering Mechanics (Statics & Dynamics)
Geometric Algebra, First Course, Episode 14: Kinematics
In this video we further or 2D Physics simulation by translating and rotating a rigid body by introducing the linear velocity and angular velocity. We use linear momentum and mass to compute the linear velocity. We use angular momentum and moment of inertia to compute the angular velocity.
From playlist Geometric Algebra, First Course, in STEMCstudio
UCI Physics 3C: Basic Physics III (Fall 2013) Lec 02. Basic Physics III View the complete course: http://ocw.uci.edu/courses/physics_3c_basic_physics_iii.html Instructor: Michael Smy, Ph.D. License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info More courses at http://ocw
From playlist Physics 3C: Basic Physics III
Lec 17: Double integrals in polar coords; applications | MIT 18.02 Multivariable Calculus, Fall 2007
Lecture 17: Double integrals in polar coordinates; applications. View the complete course at: http://ocw.mit.edu/18-02SCF10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.02 Multivariable Calculus, Fall 2007
Lecture 1 | String Theory and M-Theory
Help us caption and translate this video on Amara.org: http://www.amara.org/en/v/BAtM/ (September 20, 2010) Leonard Susskind gives a lecture on the string theory and particle physics. He is a world renown theoretical physicist and uses graphs to help demonstrate the theories he is present
From playlist String Theory - Prof. Zwiebach & Susskind
You (Probably) Haven't Been Told About the Second Type of Kinetic Energy
How can we calculate the rotational kinetic energy of any object? We will look at how this kinetic energy relates to angular speed (or angular velocity) and the moment of inertia of the object. On this channel, I've not properly discussed rotational kinetic energy. In addition to this, I'
From playlist Classical Physics by Parth G
13. Four Classes of Problems With Rotational Motion
MIT 2.003SC Engineering Dynamics, Fall 2011 View the complete course: http://ocw.mit.edu/2-003SCF11 Instructor: J. Kim Vandiver License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 2.003SC Engineering Dynamics, Fall 2011
BLOSSOMS - The Physics of Boomerangs
This learning video explores the mysterious physics behind boomerangs and other rapidly spinning objects. Students will get to make and throw their own boomerangs between video segments!
From playlist Engineering
Matrix algebra: determinants | Appendix B2 | Fibonacci Numbers and the Golden Ratio
What is a the determinant of a matrix? Join me on Coursera: https://www.coursera.org/learn/fibonacci Lecture notes at http://www.math.ust.hk/~machas/fibonacci.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confirmation=1
From playlist Fibonacci Numbers and the Golden Ratio
SR4: Mass-Energy Equivalence - E=mc²
0:00 Intro 1:05 Early Versions of E=mc² 2:02 Mass is Relative 3:28 Conserving Momentum and Energy 6:13 Adding Energy Increases Mass 8:57 Rest Mass vs. Relativistic Mass 9:58 Outro - Implications of E=mc² Facebook: https://www.facebook.com/frameofessence Twitter: https://twitter.com/fr
From playlist Special Relativity