The Lorenz 96 model is a dynamical system formulated by Edward Lorenz in 1996. It is defined as follows. For : where it is assumed that and and . Here is the state of the system and is a forcing constant. is a common value known to cause chaotic behavior. It is commonly used as a model problem in data assimilation. (Wikipedia).
What is the Lorentz Transformation?
What is the Lorentz Transformation? It is a tool we use to relate the different experiences of different observers in special relativity. It is also one of the defining features of special relativity and what differentiates it from Galilean relativity. In this video, we will derive the Lor
From playlist Relativity
Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (45 of 92) Quantum Nature of Oscillator 1
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the quantum mature of the oscillator. I will explain the step-function that represent the energy differences between different energy states. The change of the energy can only happen 1 step an
From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION
Lorentz Transformations VS Galilean Transformations | Special Relativity
The goal of this video is to show that for small velocities, the Lorentz transformations are equivalent to the Galilean transformations. 00:00 Introduction 00:12 Galilean Transformation 00:46 Lorentz Transformations 01:09 Making a Connection 01:17 Mathematical Details References: [1] Ca
From playlist Special Relativity, General Relativity
On the numerical integration of the Lorenz-96 model... - Grudzien - Workshop 2 - CEB T3 2019
Grudzien (U Nevada in Reno, USA) / 13.11.2019 On the numerical integration of the Lorenz-96 model, with scalar additive noise, for benchmark twin experiments ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook
From playlist 2019 - T3 - The Mathematics of Climate and the Environment
Shadowing Approach for Data Assimilation - Dubinkina - Workshop 2 - CEB T3 2019
Dubinkina (U Utrecht/CWI, NL) / 12.11.2019 Shadowing Approach for Data Assimilation ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : https://twitt
From playlist 2019 - T3 - The Mathematics of Climate and the Environment
On the efficiency and Consistency of covariance localisation... - Farchi - Workshop 2 - CEB T3 2019
Farchi (ENPC, FR) / 13.11.2019 On the efficiency and Consistency of covariance localisation in the ensemble Kalman filter ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/Institut
From playlist 2019 - T3 - The Mathematics of Climate and the Environment
Questions on the Table... - Smith - Workshop 2 - CEB T3 2019
Smith (London School of Economics, UK) / 14.11.2019 Questions on the Table: Stating Plainly Our Aims in Light of Our Acknowledged Ignorance and Training ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : ht
From playlist 2019 - T3 - The Mathematics of Climate and the Environment
Frequency-ranked data-driven stochastic modelling... - Chekroun - Workshop 2 - CEB T3 2019
Chekroun (UCLA, USA) / 13.11.2019 Frequency - ranked data - driven stochastic modelling, and applications ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ T
From playlist 2019 - T3 - The Mathematics of Climate and the Environment
Is Weather Chaotic?... - Shen - Workshop 2 - CEB T3 2019
Shen (San Diego State U, USA) / 12.11.2019 Is Weather Chaotic? Coexistence of Chaos and Order within a Generalized Lorenz Model ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/Ins
From playlist 2019 - T3 - The Mathematics of Climate and the Environment
Deep learning for sequence modelling: Qianxiao Li
Machine Learning for the Working Mathematician: Week Thirteen 26 May 2022 Qianxiao Li, Deep learning for sequence modelling Abstract: In this talk, we introduce some deep learning based approaches for modelling sequence to sequence relationships that are gaining popularity in many applie
From playlist Machine Learning for the Working Mathematician
Intuition: Why the Lorentz Transformation is Linear
Main Lorentz Transformation video: https://youtu.be/6f_yxbtM2TI Dr Peyam video on f(x+y)=f(x)+f(y): https://youtu.be/WnglFnfjjFs Special relativity intro: https://youtu.be/upfIW5Ci0mQ One of the most important starting points for deriving the Lorentz transformation is the fact that it is
From playlist Special Relativity
Coding Challenge #12: The Lorenz Attractor in Processing
In this coding challenge, I show you how to visualization the Lorenz Attractor in Processing. Code: https://thecodingtrain.com/challenges/12-lorenz-attractor 🕹️ p5.js Web Editor Sketch: https://editor.p5js.org/codingtrain/sketches/pwr_7FUUq 🎥 Previous video: https://youtu.be/IKB1hWWedMk?
From playlist Coding Challenges
Physics - Ch 66 Ch 4 Quantum Mechanics: Schrodinger Eqn (58 of 92) Oscillator Solution Normalized
Visit http://ilectureonline.com for more math and science lectures! In this video I will show the general solution to the quantum mechanic oscillator.. Starting with the wave equation equals the product of a constant that needed to be normalized, multiplied by e raised to a power that rel
From playlist PHYSICS 66.1 QUANTUM MECHANICS - SCHRODINGER EQUATION
Data Assimilation: Interesting Past, Bright Future - Ghil - Workshop 2 - CEB T3 2019
Michael Ghil (ENS/UCLA, FR/USA) / 12.11.2019 Data Assimilation: Interesting Past, Bright Future ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : h
From playlist 2019 - T3 - The Mathematics of Climate and the Environment
Are GCMs obsolete? by Venkatramani Balaji
DISCUSSION MEETING: WORKSHOP ON CLIMATE STUDIES (HYBRID) ORGANIZERS: Rama Govindarajan (ICTS-TIFR, India), Sandeep Juneja (TIFR, India), Ramalingam Saravanan (Texas A&M University, USA) and Sandip Trivedi (TIFR, India) DATE : 01 March 2022 to 03 March 2022 VENUE: Ramanujan Lecture Hall
From playlist Workshop on Climate Studies - 2022
Physics - Ch 66.5 Quantum Mechanics: The Hydrogen Atom (20 of 78) Schrodinger in Spherical 4
Visit http://ilectureonline.com for more math and science lectures! In this video I will manipulate the 3 equation we found from the 2 previous videos into a more manageable format.write the Schrodinger Equation as a product of 3 separate equations. In the previous video we found the func
From playlist PHYSICS 66.5 QUANTUM MECHANICS: THE HYDROGEN ATOM
Physics - Ch 66.5 Quantum Mechanics: The Hydrogen Atom (1 of 78) The Rutherford Experiment
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the Rutherford experiment, or Geiger-Marsden experiment, which changed the Thomsom plum pudding model of the atom to the thin gold leaf experiment that eventually reveal the “true” model of th
From playlist PHYSICS 66.5 QUANTUM MECHANICS: THE HYDROGEN ATOM
Physics - Relativity: Understanding Space, Time & Relativity (7 of 55) Lorentz Factor Calculated
Visit http://ilectureonline.com for more math and science lectures! In this video I will derive the Lorentz factor, gamma, using an example of observer B (on a train, v=v) observing light reflecting off a mirror, verses observer A (stationary, v=0) observing the same light reflecting off
From playlist PHYSICS 62.1 UNDERSTANDING RELATIVITY & SPACE
Steve Brunton - Machine Learning for Scientific Discovery, with Examples in Fluid Mechanics
Recorded 24 January 2023. Steve Brunton of the University of Washington presents "Machine Learning for Scientific Discovery, with Examples in Fluid Mechanics" at IPAM's Learning and Emergence in Molecular Systems Workshop. Abstract: This work describes how machine learning may be used to d
From playlist 2023 Learning and Emergence in Molecular Systems
The Quantum Harmonic Oscillator Part 2: Solving the Schrödinger Equation
We just introduced the classical harmonic oscillator, so now let's look at the quantum version! Obviously this is much trickier, but let's solve the Schrödinger equation and see what the solution tells us about the quantum world. Script by Hèctor Mas Watch the whole Modern Physics playli
From playlist Modern Physics