Transportation theory (mathematics)

Jia-Kun Liu (7/26/22): Some applications of optimal transportation

Abstract: In this talk, we will introduce some interesting applications of optimal transportation in various fields including a reconstruction problem in cosmology; a brief proof of isoperimetric inequality in geometry; and an application in image recognition relating to a transport betwee

From playlist Applied Geometry for Data Sciences 2022

Drag Force!! (Physics)

#Physics #Mechanics #Engineering #NicholasGKK #Shorts

From playlist General Mechanics

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

The Problem of Traffic: A Mathematical Modeling Journey

How can we mathematically model traffic? Specifically we will study the problem of a single lane of cars and the perturbation from equilibrium that occurs when one car brakes, and that braking effect travels down the line of cars, amplifying as it goes along, due to the delayed reaction ti

From playlist Cool Math Series

Calculus 3: Vector Calculus: Motion in Plane (10 of 15) Postion, Velocity, Acceleration (Part 3)

Visit http://ilectureonline.com for more math and science lectures! In this video I will further explain the position, velocity, and acceleration of a particle moving along a curve not just in terms of the x=x(t) and y=y(t) components but also in terms of parallel and perpendicular compon

From playlist CALCULUS 3 CH 3.1 VECTOR CALCULUS: MOTION IN A PLANE

Dynamics : An overview of the cause of mechanics

Dynamics is a subset of mechanics, which is the study of motion. Whereas kinetics studies that motion itself, dynamics is concerned about the CAUSES of motion. In particular, it involves the concepts of force, momentum and energy. This video gives an overview of what dynamics is, and is u

From playlist Dynamics

Vector calculus notation and review

Lectures for Transport Phenomena course at Olin College. This video reviews some notation in vector calculus such as vector functions, volume integrals, divergence, and gradient.

From playlist Lectures for Transport Phenomena course

4 Motion part 2

In this second part on Motion, we take a look at calculating the velocity and position vectors when given the acceleration vector and initial values for velocity and position. It involves as you might imagine some integration. Just remember that when calculating the indefinite integral o

From playlist Life Science Math: Vectors

Concept of a vector

This shows an small game that illustrates the concept of a vector. The clip is from the book "Immersive Linear Algebra" at http://www.immersivemath.com

From playlist Chapter 2 - Vectors

Ivan Guo: Financial models of the future

Dr Ivan Guo's research lies predominantly in the areas of stochastic control and financial mathematics. In this interview, he reflects on his SMRI visit and explains the models behind financial mathematics. Find out how transport theory applies to quantitative finance (as well as logisti

From playlist SMRI Interviews

Univalent foundations and the equivalence principle - Benedikt Ahrens

Vladimir Voevodsky Memorial Conference Topic: Univalent foundations and the equivalence principle Speaker: Benedikt Ahrens Affiliation: University of Birmingham Date: September 12, 2018 For more video please visit http://video.ias.edu

From playlist Vladimir Voevodsky Memorial Conference

Séminaire Bourbaki - 21/06/2014 - 4/4 - Thierry COQUAND

Théorie des types dépendants et axiome d'univalence Cet exposé sera une introduction à la théorie des types dépendants et à l'axiome d'univalence. Cette théorie est une alternative à la théorie des ensembles comme fondement des mathématiques. Guidé par une interprétation d'un type comme u

From playlist Bourbaki - 21 juin 2014

Univalence from a computer science point-of-view - Dan Licata

Vladimir Voevodsky Memorial Conference Topic: Univalence from a computer science point-of-view Speaker: Dan Licata Affiliation: Wesleyan University Date: September 14, 2018 For more video please visit http://video.ias.edu

From playlist Mathematics

Benedikt Ahrens - Le principe d'univalence: le transfer du raisonnement à traver les equivalence

Le raisonnement à équivalence près est omniprésent en mathématique, et les mathématiciens le font implicitement. Pour les mathématiques sur ordinateurs, ce n'est pas si simple : il faut donner tous les détails éxplicitement. C'est pour cela que Voevodsky a créé les fondements univalents, a

From playlist Workshop Schlumberger 2022 : types dépendants et formalisation des mathématiques

Type theory and formalization of mathematics - Anders Mörtberg

Short Talks by Postdoctoral Members Anders Mörtberg - September 28, 2015 http://www.math.ias.edu/calendar/event/88254/1443464100/1443465000 More videos on http://video.ias.edu

From playlist Short Talks by Postdoctoral Members

Patrick Shafto - Cooperative communication as Belief Transport - IPAM at UCLA

Recorded 18 February 2022. Patrick Shafto of Rutgers University presents "Cooperative communication as Belief Transport" at IPAM's Mathematics of Collective Intelligence Workshop. Learn more online at: http://www.ipam.ucla.edu/programs/workshops/mathematics-of-intelligences/?tab=schedule

From playlist Workshop: Mathematics of Collective Intelligence - Feb. 15 - 19, 2022.

Virginie Ehrlacher - Sparse approximation of the Lieb functional in DFT with moment constraints

Recorded 28 March 2023. Virginie Ehrlacher of the École Nationale des Ponts-et-Chaussées presents "Sparse approximation of the Lieb functional in DFT with moment constraints (joint work with Luca Nenna)" at IPAM's Increasing the Length, Time, and Accuracy of Materials Modeling Using Exasca

From playlist 2023 Increasing the Length, Time, and Accuracy of Materials Modeling Using Exascale Computing

Upscaling and Automation: New Opportunities for Multiscale Systems Modeling

SIAM Geosciences Webinar Series Date and Time: Wednesday, March 8, 2023, 12:00pm Eastern time zone Speaker: Ilenia Battiato, Stanford University Abstract: The accurate modeling of energy and geologic systems has challenged generations of computational physicists due to the mathematical an

From playlist SIAM Geosciences Webinar Series

Vector calculus review - divergence theorem

Lectures for Transport Phenomena course at Olin College. This lecture derives and explains the divergence theorem

From playlist Lectures for Transport Phenomena course

Félix Otto: The matching problem

The optimal transport between a random atomic measure described by the Poisson point process and the Lebesgue measure in d-dimensional space has received attention in diverse communities. Heuristics suggest that on large scales, the displacement potential, which is a solution of the highly

From playlist Probability and Statistics