Finsler geometry | Differential geometry
In differential geometry, a spray is a vector field H on the tangent bundle TM that encodes a quasilinear second order system of ordinary differential equations on the base manifold M. Usually a spray is required to be homogeneous in the sense that its integral curves t→ΦHt(ξ)∈TM obey the rule ΦHt(λξ)=ΦHλt(ξ) in positive reparameterizations. If this requirement is dropped, H is called a semispray. Sprays arise naturally in Riemannian and Finsler geometry as the geodesic sprays whose integral curves are precisely the tangent curves of locally length minimizing curves.Semisprays arise naturally as the extremal curves of action integrals in Lagrangian mechanics. Generalizing all these examples, any (possibly nonlinear) connection on M induces a semispray H, and conversely, any semispray H induces a torsion-free nonlinear connection on M. If the original connection is torsion-free it coincides with the connection induced by H, and homogeneous torsion-free connections are in one-to-one correspondence with full sprays. (Wikipedia).
I still don't get it evaluating expressions
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
How to evaluate an expression three terms
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
3D Printing Objects With Caustics | Two Minute Papers #38
What are caustics? A caustic is a beautiful phenomenon in nature where curved surfaces reflect or refract light, thereby concentrating it to a relatively small area. This technique makes it possible to essentially imagine any kind of caustic pattern, for instance, this brain pattern, and i
From playlist 3D Printing / 3D Fabrication
This one is supposed to give the impression of raindrops falling into an elliptical pool. Raindrops are added at random locations, and at regular time intervals (of course, one could randomize the times as well). The simulation solves the wave equation with a little bit of damping. If the
From playlist Wave equation
Evaluate an expression with three variables
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
Lecture Laurent Desvillettes: Coupling kinetic and fluid equations in the theory of sprays II
The lecture was held within the of the Hausdorff Trimester Program: Kinetic Theory Abstract: In the first lecture, typical systems of equations for the sprays are presented, including the mesoscopic description in which a kinetic equation for the droplets is coupled with a fluid equation
From playlist Summer School: Trails in kinetic theory: foundational aspects and numerical methods
Evaluate an expression with one variable ex2, 2x + 3 - 2; x=5
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
Breakthrough: Connecting the Drops Watch Party
If you’re curious about how far sneezes travel, you aren’t alone. Because sneezing can spread infectious diseases like the flu and common cold, many scientists and doctors are interested in better understanding how far a sneeze can travel. Join Anila Yadavalli from 500 Women Scientists and
From playlist Breakthrough Festival
Mathematical sculptures installed at the University of Melbourne
Five large 3D printed sculptures installed in the Department of Mathematics and Statistics at the University of Melbourne.
From playlist 3D printing
A solar system, a simulation made with Excel
An Excel simulation of the solar system. You can see how things are recursively computed: the mutual gravity force from the locations, the accelerations, the velocities, and finally the updated locations. The solar eclipse is also shown. This is clip is intended to illustrate Chapter 24 Ap
From playlist Physics simulations
Oscillation of droplets suspended in a convective flow field by Deepu P
ORGANIZERS: Amit Apte, Soumitro Banerjee, Pranay Goel, Partha Guha, Neelima Gupte, Govindan Rangarajan and Somdatta Sinha DATES: Monday 23 May, 2016 - Saturday 23 Jul, 2016 VENUE: Madhava Lecture Hall, ICTS, Bangalore This program is first-of-its-kind in India with a specific focus to p
From playlist Summer Research Program on Dynamics of Complex Systems
Evaluating an expression with two variables ex 5, (bc)^2; b = 4; c = 8
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
Lecture Laurent Desvillettes: Coupling kinetic and fluid equations in the theory of sprays I
The lecture was held within the of the Hausdorff Trimester Program: Kinetic Theory Abstract: In the first lecture, typical systems of equations for the sprays are presented, including the mesoscopic description in which a kinetic equation for the droplets is coupled with a fluid equation
From playlist Summer School: Trails in kinetic theory: foundational aspects and numerical methods
Assimilating Data into Physical Models - Christopher KRT Jones
CAARMS Topic: Assimilating Data into Physical Models Speaker: Christopher KRT Jones Affiliation: University of North Carolina at Chapel Hill Date: July 12, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Wolfram Technology Conference 2020: Innovator Award Ceremony
Stephen Wolfram delivers his keynote for the Innovator Awards and hands them out virtually. Find out more about the conference here: https://www.wolfram.com/events/technology-conference/2020/ Follow us on our official social media channels. Twitter: https://twitter.com/WolframResearch Fa
From playlist Wolfram Technology Conference 2020
Evaluate an expression with two variables ex1, (3x - y)^2; x = 4; y = 1
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations
The Most Incredible Experiment Videos
The Lutetium Project film a water droplet impacting on a superhydrophobic cone-shaped surface and the results are breathtaking. Research by Pierre Chantelot at the University of Twente. Interview with University of Oxford Mathematician Dr Tom Crawford. Tom is an Early-Career Teaching an
From playlist Fluid Dynamics
Lec 33 | MIT 18.03 Differential Equations, Spring 2006
Relation Between Non-linear Systems and First-order ODE's; Structural Stability of a System, Borderline Sketching Cases; Illustrations Using Volterra's Equation and Principle. View the complete course: http://ocw.mit.edu/18-03S06 License: Creative Commons BY-NC-SA More information at http
From playlist MIT 18.03SC Differential Equations, Fall 2011
The Basic Steam Cycle- An Introduction To Ship Power Plants
TabletClass.com - http://www.tabletclass.com This video explains the basics steam cycle of steam power plants on board ships. The video looks at a typical D type boiler used in the US Navy and the cycle of creating steam, high and low pressure turbines, reduction gears, condensers, DFT an
From playlist Science Videos
Evaluating an expression with two variables ex 3, (2a + 2b)^2; a = 3; b = 4
👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)
From playlist Simplify Expressions Using Order of Operations