Special functions

Transport function

In mathematics and the field of transportation theory, the transport functions J(n,x) are defined by Note that (Wikipedia).

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A Level Biology Revision "Active Transport"

In this video, we explore active transport. First we look at why active transport is used to move chemicals in and out of cells. We then look at how active transport works, in particular the role of ATP in active transport. This video is aimed at the UK A Level Biology specifications. Stu

From playlist A Level Biology "Cell Membranes and Movement of Substances"

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Duality in Optimal Transport

We define the Kantorovich dual of Kantorovich problem of Optimal Transport and give a (well known) interpretation in terms of "outsourcing" the task of transporting goods.

From playlist Optimal Transport

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Biology: Cell Transport

How do things move across the cell membrane, either in or out? This animation shows two broad categories of how things pass into or out of a cell: passive transport and active transport. Passive transport is automatic; no input of energy is required. For example, diffusion is a passive p

From playlist High School Biology Animations | Nucleus Edu

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4 differences between trains and trams

Walking down the street, you may encounter railroads on which a familiar vehicle roams the city with its poetic figure. You can also come across railroads on certain stations where the whole crowd is waiting for that one big metal body. Do you think on these railroads the same vehicles com

From playlist All About Transportation

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Transport Layer Security: Part 1

Fundamental concepts of TLS are discussed. SSL is analyzed. HTTPS & SSH are presented.

From playlist Network Security

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Transport Layer In Computer Network | OSI Model | Transport Layer | Computer Networks | Simplilearn

Transport Layer In OSI Model by simplilearn is a Computer networking-oriented tutorial that explains the fundamentals of the Transport Layer in Computer networks. The transport layer handles the error detection and verification of the data shared by the upper layers of the OSI model for be

From playlist Networking

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Transport Layer Security: Part 2 - TLS & HTTPS

Fundamental concepts of TLS are discussed. SSL is analyzed. HTTPS & SSH are presented.

From playlist Network Security

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The Hard Drive Buffer

The role of the hard drive buffer and interrupts when a file is transferred from primary memory (RAM) to a secondary storage device.

From playlist Computer Hardware and Architecture

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Computer Networks. Part Six: The TCP/IP Protocol Stack and Routers

This is the sixth in a series about computer networks. This video describes the role of a network protocol, and specifically details the TCP/IP suite of protocols. The need for a layered approach to networking software is discussed including the four layer TCP/IP stack and the relevance

From playlist Computer Networks

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Matthias Liero: On entropy transport problems and the Hellinger Kantorovich distance

In this talk, we will present a general class of variational problems involving entropy-transport minimization with respect to a couple of given finite measures with possibly unequal total mass. These optimal entropy-transport problems can be regarded as a natural generalization of classic

From playlist HIM Lectures: Follow-up Workshop to JTP "Optimal Transportation"

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Shi-Bing Chen (7/28/22): The optimal partial transport problem

Abstract: In the optimal partial transport problem we are asked to find the most economical way to transport a portion of mass of the source domain to the target domain. It was proved by Caffarelli and McCann that there is a $C^{1,\alpha}$ hypersurface, called free boundary, separating the

From playlist Applied Geometry for Data Sciences 2022

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Pierre Alliez : Robust shape reconstruction through optimal transportation

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Numerical Analysis and Scientific Computing

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Heikki Jylhä: L∞ estimates in optimal transport

It is well-known that for finite p the Lp transportation distances Wp metrize the weak convergence of probability measures (up to a convergence of p-th moments). However, the same result does not hold for the L∞ transportation distance W∞. In light of this, we may ask whether convergence i

From playlist HIM Lectures: Follow-up Workshop to JTP "Optimal Transportation"

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Yair Shenfeld - The Brownian transport map - IPAM at UCLA

Recorded 09 February 2022. Yair Shenfeld of the Massachusetts Institute of Technology presents "The Brownian transport map" at IPAM's Calculus of Variations in Probability and Geometry Workshop. Abstract: The existence of Lipschitz transport maps between probability measures leads to tran

From playlist Workshop: Calculus of Variations in Probability and Geometry

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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

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Optimal Transport (According to Leonid Kantorovich)

Kantorovich problem of Optimal Transport, definition and some context. See for example Villani - Topics in Optimal Transport (2003), Chapter 1 or Ambosio Gigli - A users guide to Optimal Transport (2008), Chapter 1.1.

From playlist Optimal Transport

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Z. Badreddine - Optimal transportation problem and MCP property on sub-Riemannian structures

This presentation is devoted to the study of mass transportation on sub-Riemannian geometry. In order to obtain existence and uniqueness of optimal transport maps, the first relevant method to consider is the one used by Figalli and Rifford which is based on the local semiconcavity of the

From playlist Journées Sous-Riemanniennes 2018

Related pages

Mathematics | Incomplete gamma function | Transportation theory (mathematics)