Smooth functions | Singularity theory | Differential geometry
In mathematics, the jet is an operation that takes a differentiable function f and produces a polynomial, the truncated Taylor polynomial of f, at each point of its domain. Although this is the definition of a jet, the theory of jets regards these polynomials as being abstract polynomials rather than polynomial functions. This article first explores the notion of a jet of a real valued function in one real variable, followed by a discussion of generalizations to several real variables. It then gives a rigorous construction of jets and jet spaces between Euclidean spaces. It concludes with a description of jets between manifolds, and how these jets can be constructed intrinsically. In this more general context, it summarizes some of the applications of jets to differential geometry and the theory of differential equations. (Wikipedia).
Equations of Planes: Vector & Component Forms | Multivariable Calculus
We will come up with first the vector form of the equation of a plane, and then expand to get the component form of the equation of a plane. The formula is based on knowing: 1) A point on the plane 2) A normal vector to the plane Planes are foundational objects in multivariable calculus (
Geometry - Basic Terminology (2 of 34) Definition of Planes
Visit http://ilectureonline.com for more math and science lectures! In this video I will define and give examples of planes. Next video in the Basic Terminology series can be seen at: http://youtu.be/Bly11gCPOao
From playlist GEOMETRY 1 - BASIC TERMINOLOGY
Using linear algebra to solve for equation of lines and planes.
From playlist Linear Algebra
Aerodynamics - How airplanes fly, maneuver, and land
Covers lift, stalls, angle of attack, wing flaps, and many other topics. My Patreon page is at https://www.patreon.com/EugeneK
From playlist Physics
How do airplanes fly? It's not magic. Learn about the forces that help (and hinder) airplane flight. License: Creative Commons BY-NC-SA More information at http://k12videos.mit.edu/terms-conditions
From playlist Things that Fly!
Calculus 3: Vector Calculus: Motion in a Plane (1 of 15) General Concept
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the general concept of motion in a plane (2-D) in vector calculus in relationship to position vector (r(t)), velocity vector (v(t)), and, later, acceleration vector (a(t)). Next video in the
From playlist CALCULUS 3 CH 3.1 VECTOR CALCULUS: MOTION IN A PLANE
👉 Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li
From playlist Points Lines and Planes
Using linear algebra to solve for equations of lines and planes.
From playlist Linear Algebra
Physical insights from a numerical simulation of the dissipative Euler flow by Takeshi Matsumoto
PROGRAM TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS ORGANIZERS Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India) DATE & TIME 16 January 2023 to 27 January 2023 VENUE Ramanuj
From playlist Turbulence: Problems at the Interface of Mathematics and Physics 2023
Bellagio Fountain Design in MATLAB
The fountains at the Las Vegas Bellagio are simulated with MATLAB and Simulink. A mathematical model of the fountain network is derived and used to dynamically simulate and control the fountain levels. Check out their next video with a 3-D animation. http://youtu.be/5niRHaNQIFc
From playlist MATLAB and Simulink Student Challenge 2014 Entries
Nana SHATASHVILI - Generalized Beltrami-Bernoulli Flow Model...
Generalized Beltrami-Bernoulli Flow Model for Astrophysical Disk-Jet Structure Formation In the vicinity of a massive object of various scales (ranging from young stars to galactic nuclei), mass flow creates a spectacular structure combining a thin disk and collimated jet. Despite a wide
From playlist Integrability, Anomalies and Quantum Field Theory
The Green - Tao Theorem (Lecture 1) by Gyan Prakash
Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod
From playlist Workshop on Additive Combinatorics 2020
IU PTI's Jetstream REU - Student Interviews
Students came from all over the United States to gain experience with Jetstream, the first NSF-supported cloud resource for science and engineering research (NSF grant #1445604). Indiana University’s Pervasive Technology Institute is the lead institution on the five-year, $12 million NSF g
From playlist Jetstream - the first NSF-funded production cloud environment
Recent Discoveries About Black Holes - 3 Hour Compilation
Good telescope that I've used to learn the basics: https://amzn.to/35r1jAk Get a Wonderful Person shirt: https://teespring.com/stores/whatdamath Alternatively, PayPal donations can be sent here: http://paypal.me/whatdamath Hello and welcome! I'm away for a week moving recording studio to
From playlist Long Science Videos
Using the general and vector forms of the equation of a plane from the normal and a point, or two points on the plane.
From playlist Linear Algebra
Numerical Approach to Dissipative Weak Solutions to the Euler Equations by Takeshi Matsumoto
Program Turbulence: Problems at the Interface of Mathematics and Physics (ONLINE) ORGANIZERS: Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (Indian Institute of Science, Bengaluru) DATE: 07 December 202
From playlist Turbulence: Problems at The Interface of Mathematics and Physics (Online)
Welcome Address by Spenta Wadia (Founding Director, ICTS)
Extragalactic Relativistic Jets: Cause and Effect PROGRAM LINK: www.icts.res.in/program/ERG2015 DATES: Monday 12 Oct, 2015 - Tuesday 20 Oct, 2015 VENUE: Ramanujan Lecture Hall, ICTS Bangalore DESCRIPTION : Active Galactic Nuclei (AGN) are the luminous centers of galaxies that are belie
From playlist Extragalactic Relativistic Jets: Cause and Effect
Fundamental Principles of Flow
Second in the series, this video departs from the essential generality of the first by explicitly illustrating, through experi ment and animation, the basic concepts and physical relation ships that are involved in the analysis of fluid motion. The concepts of velocity, acceleration, circu
From playlist Mechanics, Elasticity, Fluids, Diffusion
The Future: ChatGPT 2, STABLE DIFFUSION 3 | Tech AI Science
The tech future of ChatGPT and Stable Diffusion examined. Generative AI future for text, image and video. Two evolution scenarios. Combined use of ChatGPT and Stable Diffusion will lead to new tech implementations and possibilities for generative AI movies and Generative VR (GVR). Especia
From playlist Stable Diffusion / Latent Diffusion models for Text-to-Image AI
Plane Geometry. Using linear algebra to solve for equations of planes and lines.
From playlist Linear Algebra