Kleiber's law, named after Max Kleiber for his biology work in the early 1930s, is the observation that, for the vast majority of animals, an animal's metabolic rate scales to the 3⁄4 power of the animal's mass. Symbolically: if q0 is the animal's metabolic rate, and M is the animal's mass, then Kleiber's law states that q0~M3/4. Thus, over the same time span, a cat having a mass 100 times that of a mouse will consume only about 32 times the energy the mouse uses. The exact value of the exponent in Kleiber's law is unclear, in part because the law currently lacks a single theoretical explanation that is entirely satisfactory. (Wikipedia).
The Science of Hobbit Gluttony
Offset your carbon footprint with Wren! They'll plant 10 extra trees for each of the first 100 people who sign up at https://www.wren.co/start/minuteearth. Because smaller animals have to eat more relative to their bodyweight, Tolkein’s hobbits need to eat a lot - not for comfort, but for
From playlist Anatomy & Health
The science of symmetry - Colm Kelleher
View full lesson: http://ed.ted.com/lessons/the-science-of-symmetry-colm-kelleher When you hear the word symmetry, you might think generally of triangles, butterflies, or even ballerinas. But defined scientifically, symmetry is "a transformation that leaves an object unchanged." Huh? Colm
From playlist New TED-Ed Originals
3/4 and Kleiber's Law - Numberphile
The fraction three quarters has a particular interest to biologists because of its link to the research of Max Kleiber and metabolic rates in animals. More links & stuff in full description below ↓↓↓ This video features Thomas Woolley from the University of Oxford. Tom thanks @gameboygen
From playlist From Numberphile
Agnès Desolneux - Maximum Entropy Distributions for Image Synthesis under Statistical Constraints
The question of texture synthesis in image processing is a very challenging problem that can be stated as followed: given an exemplar image, sample a new image that has the same statistical features (empirical mean, empirical covariance, filter responses, neural network responses, etc.). E
From playlist Journée statistique & informatique pour la science des données à Paris-Saclay 2021
Shannon 100 - 26/10/2016 - Elisabeth GASSIAT
Entropie, compression et statistique Elisabeth Gassiat (Université de Paris-Sud) Claude Shannon est l'inventeur de la théorie de l'information. Il a introduit la notion d'entropie comme mesure de l'information contenue dans un message vu comme provenant d'une source stochastique et démon
From playlist Shannon 100
Bryna Kra : Multiple ergodic theorems: old and new - lecture 2
Abstract : The classic mean ergodic theorem has been extended in numerous ways: multiple averages, polynomial iterates, weighted averages, along with combinations of these extensions. I will give an overview of these advances and the different techniques that have been used, focusing on co
From playlist Dynamical Systems and Ordinary Differential Equations
Physics - Mechanics: Gravity (13 of 20) Keppler's 3rd Law
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and calculate Keppler's 3rd Law.
From playlist PHYSICS 18 GRAVITY
Uncertainty Principle - Klim Efremenko
Klim Efremenko Tel-Aviv University; Member, School of Mathematics April 23, 2013 Informally, uncertainty principle says that function and its Fourier transform can not be both concentrated. Uncertainty principle has a lot of applications in areas like compressed sensing, error correcting c
From playlist Mathematics
Interpreting nonlinear expressions — Basic example | Math | New SAT | Khan Academy
Watch Sal work through a basic Interpreting nonlinear expressions problem. Watch the next lesson: https://www.khanacademy.org/test-prep/new-sat/new-sat-math/new-sat-passport-advanced-mathematics/v/sat-math-p10-harder?utm_source=YT&utm_medium=Desc&utm_campaign=NewSAT Missed the previous l
From playlist Passport to advanced mathematics | New SAT | Khan Academy
Quantum Mechanics 5a - Schrödinger Equation I
Building on Louis de Broglie's hypothesis of "electron waves," Erwin Schrödinger develops a wave equation for electrons. The playlist: http://www.youtube.com/playlist?list=PL193BC0532FE7B02C
From playlist Quantum Mechanics
Teach Astronomy - Universal Law of Gravity
http://www.teachastronomy.com/ Newton's master work is the universal law of gravity. Newton's law of gravity states that every object in the universe, every particle, every planet, every star, every galaxy, attracts each other with a force that is proportional to each of the masses of two
From playlist 03. Concepts and History of Astronomy and Physics
A quantum particle in a constant magnetic field
This is a first attempt at simulating a quantum particle in a magnetic field. The particle moves in a plane, and the magnetic field is constant, and perpendicular to the plane. The vector potential used in Schrödinger's equation is proportional to the vector (y, -x, 0). I hope to be able t
From playlist Schrödinger's equation
Maxwell’s Equations Part 3: Faraday’s Law
With the two forms of Gauss's law understood, we have covered the static aspect of electromagnetism. Now it's time to look at the more dynamic aspect by examining Faraday's law. This is a mathematical formalization of the notion that a changing magnetic flux will induce an electric current
From playlist Classical Physics
Statistical Physics and Learning - Florent Krzakala, Sorbonne Université
Recent years have witnessed an increased cross-fertilisation between the fields of statistics and computer science. In the era of Big Data, statisticians are increasingly facing the question of guaranteeing prescribed levels of inferential accuracy within certain time budget. On the other
From playlist Statistics and computation
Nelly Pustelnik: Optimization -lecture 2
CIRM HYBRID EVENT Recorded during the meeting "Mathematics, Signal Processing and Learning" the January 27, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians o
From playlist Virtual Conference
http://www.teachastronomy.com/ A lot of fundamental concepts in physics are based on the idea of symmetry. Symmetry is familiar to us in an aesthetic sense. It often means things that have pleasing proportion, or look the same from every direction, or have a harmonious nature about them.
From playlist 23. The Big Bang, Inflation, and General Cosmology 2
Lénaïc Chizat: Trajectory inference with Schrödinger bridges - lecture 1
We consider statistical and computation methods to infer trajectories of a stochastic process from snapshots of its temporal marginals. This problem arises in the analysis of single cell RNA-sequencing data. The goal of this mini-course is to present and understand the estimator proposed b
From playlist CEMRACS 2022
The Schrodinger Equation is (Almost) Impossible to Solve.
Sure, the equation is easily solvable for perfect / idealized systems, but almost impossible for any real systems. The Schrodinger equation is the governing equation of quantum mechanics, and determines the relationship between a system, its surroundings, and a system's wave function. Th
From playlist Quantum Physics by Parth G
Naotoshi Nakamura - LAVENDER extracts individual variability...
Naotoshi Nakamura - LAVENDER extracts individual variability in the response to seasonal influenza vaccination The human immune system is known to be highly variable among individuals, but it is not well understood how the variability changes over time, especially when faced with externa
From playlist From Molecules and Cells to Human Health : Ideas and concepts