Convex analysis

Characteristic function (convex analysis)

In the field of mathematics known as convex analysis, the characteristic function of a set is a convex function that indicates the membership (or non-membership) of a given element in that set. It is similar to the usual indicator function, and one can freely convert between the two, but the characteristic function as defined below is better-suited to the methods of convex analysis. (Wikipedia).

Video thumbnail

What are the important things to know about the graph of a function

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi

From playlist Characteristics of Functions

Video thumbnail

Analyze the characteristics of multiple functions

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi

From playlist Characteristics of Functions

Video thumbnail

Characteristics of functions

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi

From playlist Characteristics of Functions

Video thumbnail

Characteristics of functions

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi

From playlist Characteristics of Functions

Video thumbnail

Characteristics of functions

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi

From playlist Characteristics of Functions

Video thumbnail

Characteristics of functions

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi

From playlist Characteristics of Functions

Video thumbnail

What are bounded functions and how do you determine the boundness

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi

From playlist Characteristics of Functions

Video thumbnail

Yakov Eliashberg - Interplay between notions of convexity in complex, symplectic and contact (...)

The classical notions of holomorphic, polynomial, rational convexity, and pseudo-convexity in complex geometry have their counterparts in symplectic and contact geometries. Understanding the relationship between these notions is important for all these fields. Yakov Eliashberg (Stanford)

From playlist Not Only Scalar Curvature Seminar

Video thumbnail

Elisabeth Gassiat - Manifold Learning with Noisy Data

It is a common idea that high dimensional data (or features) may lie on low dimensional support making learning easier. In this talk, I will present a very general set-up in which it is possible to recover low dimensional non-linear structures with noisy data, the noise being totally unkno

From playlist 8th edition of the Statistics & Computer Science Day for Data Science in Paris-Saclay, 9 March 2023

Video thumbnail

Overview of one to one functions

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi

From playlist Characteristics of Functions

Video thumbnail

Yifeng Yu: "Properties of Effective Hamiltonians"

High Dimensional Hamilton-Jacobi PDEs 2020 Workshop IV: Stochastic Analysis Related to Hamilton-Jacobi PDEs "Properties of Effective Hamiltonians" Yifeng Yu - University of California, Irvine (UCI) Abstract: The existence of homogenization of Hamilton-Jacobi equations in the periodic set

From playlist High Dimensional Hamilton-Jacobi PDEs 2020

Video thumbnail

Kazuo Murota: Discrete Convex Analysis (Part 2)

The lecture was held within the framework of the Hausdorff Trimester Program: Combinatorial Optimization

From playlist HIM Lectures 2015

Video thumbnail

On convection-diffusion-reaction and transport-flow modeling sedimentation – R. Bürger – ICM2018

Numerical Analysis and Scientific Computing | Mathematics in Science and Technology Invited Lecture 15.3 | 17.3 On convection-diffusion-reaction and transport-flow problems modeling sedimentation Raimund Bürger Abstract: The sedimentation of a suspension is a unit operation widely used i

From playlist Numerical Analysis and Scientific Computing

Video thumbnail

Kazuo Murota: Discrete Convex Analysis (Part 3)

The lecture was held within the framework of the Hausdorff Trimester Program: Combinatorial Optimization

From playlist HIM Lectures 2015

Video thumbnail

Max Jensen: Convergent semi-Lagrangian methods for the Monge-Ampère equation on unstructured grids

The lecture was held within the framework of the Hausdorff Trimester Program Multiscale Problems: Workshop on Numerical Inverse and Stochastic Homogenization. (15.02.2017) In this presentation I will discuss a semi-Lagrangian discretisation of the Monge-Ampère operator on P1 finite elemen

From playlist HIM Lectures: Trimester Program "Multiscale Problems"

Video thumbnail

Is the graph even or odd?

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi

From playlist Characteristics of Functions

Video thumbnail

Convex Integration Applied to Fluid Dynamics by Helena Nussenzveig Lopes

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

Video thumbnail

On the (in)stability of the identity map in optimal transportation - Yash Jhaveri

Analysis Seminar Topic: On the (in)stability of the identity map in optimal transportation Speaker: Yash Jhaveri Affiliation: Member, School of Mathematics Date: October 14, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

Absolute or relative minimum of graph?

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls right). We can determine the number of zeros of the functi

From playlist Characteristics of Functions

Related pages

Convex function | Convex analysis | Extended real number line | Mathematics | Set (mathematics) | Tangent cone | Indicator function | Subset