Statistical hypothesis testing | Theory of probability distributions | Statistical distance
Energy distance is a statistical distance between probability distributions. If X and Y are independent random vectors in Rd with cumulative distribution functions (cdf) F and G respectively, then the energy distance between the distributions F and G is defined to be the square root of where (X, X', Y, Y') are independent, the cdf of X and X' is F, the cdf of Y and Y' is G, is the expected value, and || . || denotes the length of a vector. Energy distance satisfies all axioms of a metric thus energy distance characterizes the equality of distributions: D(F,G) = 0 if and only if F = G.Energy distance for statistical applications was introduced in 1985 by Gábor J. Székely, who proved that for real-valued random variables is exactly twice Harald Cramér's distance: For a simple proof of this equivalence, see Székely (2002). In higher dimensions, however, the two distances are different because the energy distance is rotation invariant while Cramér's distance is not. (Notice that Cramér's distance is not the same as the distribution-free Cramér–von Mises criterion.) (Wikipedia).
Teach Astronomy - Astronomical Units
http://www.teachastronomy.com/ The astronomical unit is defined as the mean distance between the Earth and the Sun. It has to be defined as the mean because the orbit is elliptical by a couple of percent. The astronomical unit is 150 million kilometers or 98 million miles. This sets the
From playlist 11. Interplanetary Bodies
Physics - Test Your Knowledge: Energy (7 of 30) 2 Springs: Find the Distance with Constant Power
Visit http://ilectureonline.com for more math and science lectures! In this video I will find the distance x(t)=? of a car, mass m, applied power=P=constant. To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 Next video in this series can be seen at:
From playlist PHYSICS 8A TEST YOUR KNOWLEDGE: ENERGY
Physics 50 E&M Radiation (20 of 33) Plane E&M Waves and Power, Intensity
Visit http://ilectureonline.com for more math and science lectures! In this video I will discuss the relationship between intensity and power and find the number of photons entering the eye per second from Alpha Centari. Next video in series: http://youtu.be/Tz6OF5HhshU
From playlist PHYSICS 50 ELECTROMAGNETIC RADIATION
Electric Field (2 of 3) Calculating the Magnitude and Direction of the Electric Field
Explains how to calculate the electric field of a charged particle and the acceleration of an electron in the electric field. You can see a listing of all my videos at my website, http://www.stepbystepscience.com An electric field is an area that surrounds an electric charge, and exerts f
From playlist Electricity and Magnetism
Parsecs, astronomical units and light years, distance units explained: fizzics.org
Notes to support this video lesson are here: https://www.fizzics.org/measuring-distance-in-astronomy/ Astronomical units , the parsec and the light year are different units commonly used to measure distances in astronomy. Where they come from and how they relate to our basic units of measu
From playlist Astronomy - physics of measuring distance
Teach Astronomy - Binding Energy
http://www.teachastronomy.com/ The universe is full of things that are held together by forces: atoms, molecules, solar systems, stars, and galaxies. The binding energy of a system is the energy required to take it apart. For example, a speed of eleven kilometers per second corresponds t
From playlist 13. Particle Physics and the Sun
This video show how to use the distance formula to determine the distance between two points. It also shows how it is derived from the Pythagorean theorem. http://mathispower4u.yolasite.com/
From playlist Using the Distance Formula / Midpoint Formula
Particle Physics (7 of 41) The Electromagnetic Force
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the electromagnetic force. Next video in the Particle Physics series can be seen at: https://youtu.be/lJAvn5J3t54
From playlist PHYSICS 65 PARTICLE PHYSICS
Physics 50 E&M Radiation (18 of 33) Plane E&M Waves and Energy Flow
Visit http://ilectureonline.com for more math and science lectures! In this video I will calculate the energy transported by electromagnetic radiation. Next video in series: https://youtu.be/pDwhC0Ogr-w
From playlist PHYSICS 50 ELECTROMAGNETIC RADIATION
Dmitriy Bilyk: On the interplay between uniform distribution,discrepancy, and energy
VIRTUAL LECTURE Recording during the meeting "Discrepancy Theory and Applications". 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 keywo
From playlist Analysis and its Applications
GCSE level Classical Mechanics covering: Work, Potential Energy, Kinetic Energy, Elasticity
From playlist GCSE Physics Revision
Interatomic Forces & Energy Curves {Texas A&M: Intro to Materials}
Tutorial illustrating the significance of interatomic force and interatomic energy curves, and their relationship to physical properties. Video lecture for Introduction to Materials Science & Engineering (MSEN 201/MEEN 222), Texas A&M University, College Station, TX. http://engineering.ta
From playlist TAMU: Introduction to Materials Science & Engineering | CosmoLearning.org
Point Charges (9 of 10) Work, Potential Energy & Potential, Part 1
Gives an explanation of work, electric potential energy, potential for point charges. An electric potential is the amount of work needed to move a unit of positive charge from a reference point to a specific point inside the field without producing an acceleration. It can also be stated as
From playlist Electricity and Magnetism
A basic introduction to Analytical Mechanics derived from Newtonian Mechanics, covering the Lagrangian, principle of least action, Euler Lagrange equation and Hamiltonian.
From playlist Classical Mechanics
Uniform Electric Field (4 of 9) Electric Potential Energy due to Parallel Plates: An Explanation
Explains how a charge between two parallel plates is given electric potential energy. When two metallic plates are set a distance apart and then are attached to a potential difference, a battery for example, one plate will have a positive charge and the other plate will have a negative c
From playlist Uniform Electric Fields, Potential Difference, Work and Electric Potential Energy
Lecture 8 | Topics in String Theory
(March 7, 2011) Leonard Susskind gives a lecture on string theory and particle physics that dives into the idea of cosmic horizons as well as the relationship between ultraviolet and infrared light. In the last of course of this series, Leonard Susskind continues his exploration of strin
From playlist Lecture Collection | Topics in String Theory (Winter 2011)
Dynamics of rigid rotating bodies - Part 2 of 3
Dynamics of rigid rotating bodies Part 1: Centre of Gravity, Moment of Inertia, Angular Momentum and Torque Part 2: Parallel Axis Theorem and consequences of part 1 Part 3: Gyroscopes
From playlist Classical Mechanics
Gravitation (9 of 17) Gravitational PE Far From Earth, the Negative Sign, An Explanation
Explains how to calculate gravitational potential energy of an object that is far from Earth and why the equation has a negative sign in front of it. Gravitational potential energy is the energy associated with a gravitational field. Gravitational energy is dependent on the masses of the t
From playlist Gravitation: Orbital Velocity, Orbital Period, Potential Energy, Kinetic Energy, Mass and Weight
http://www.teachastronomy.com/ The vast distances to the nearest stars encourage astronomers to use a new unit of distance. Whereas meters and kilometers work well on the Earth, and the astronomical unit is the appropriate unit for scales within the solar system, the distance scale to the
From playlist 14. Stars
Kenji Fukaya: Inductive limit which appears in Lagrangian Floer theory
CIRM VIRTUAL EVENT Recorded during the meeting "From Hamiltonian Dynamics to Symplectic Topology" the April 26, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematic
From playlist Virtual Conference