Continuous mappings | Discrete mathematics | Types of functions

Direction-preserving function

In discrete mathematics, a direction-preserving function (or mapping) is a function on a discrete space, such as the integer grid, that (informally) does not change too drastically between two adjacent points. It can be considered a discrete analogue of a continuous function. The concept was first defined by Iimura. Some variants of it were later defined by Yang, Chen and Deng, Herings, van-der-Laan, Talman and Yang, and others. (Wikipedia).

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Identifying Linear Functions

Define linear functions. Use function notation to evaluate linear functions. Learn to identify linear function from data, graphs, and equations.

From playlist Algebra 1

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Linear Functions

Define a linear function. Determine if a linear function is increasing or decreasing. Interpret linear function models. Determine linear functions. Site: http://mathispower4u.com

From playlist Introduction to Functions: Function Basics

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What is a Position Function?

Overview of position functions in calculus and how they relate to velocity and acceleration.

From playlist Calculus

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Ex: Determine if a Linear Function is Increasing or Decreasing

This video explains how to determine if a linear function is increasing or decreasing. The results are discussed graphically. Site: http://mathispower4u.com

From playlist Introduction to Functions: Function Basics

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Directional Derivatives

http://mathispower4u.wordpress.com/

From playlist Functions of Several Variables - Calculus

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Determining when a function is increasing decreasing or constant

👉 Learn how to determine increasing/decreasing intervals. There are many ways in which we can determine whether a function is increasing or decreasing but we will focus on determining increasing/decreasing from the graph of the function. A function is increasing when the graph of the funct

From playlist When is the Function Increasing Decreasing or Neither

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The Gradient

This video explains what information the gradient provides about a given function. http://mathispower4u.wordpress.com/

From playlist Functions of Several Variables - Calculus

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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

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A geometric integration approach to non-smooth (...) - Schoenlieb/Riis - Workshop 1 - CEB T1 2019

Schoenlieb/Riis (University of Cambridge) / 04.02.2019 A geometric integration approach to non-smooth and non-convex optimisation The optimisation of nonsmooth, nonconvex functions without access to gradients is a particularly challenging problem that is frequently encountered, for exam

From playlist 2019 - T1 - The Mathematics of Imaging

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Jack Xin: "Lagrangian Approximations and Computations of Effective Diffusivities and Front Speed..."

High Dimensional Hamilton-Jacobi PDEs 2020 Workshop IV: Stochastic Analysis Related to Hamilton-Jacobi PDEs "Lagrangian Approximations and Computations of Effective Diffusivities and Front Speeds in Chaotic and Stochastic Volume Preserving Flows" Jack Xin - University of California, Irvin

From playlist High Dimensional Hamilton-Jacobi PDEs 2020

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Gluing in Homotopy Type Theory - Michael Shulman

Michael Shulman University of California, San Diego; Member, School of Mathematics March 20, 2013 For more videos, visit http://video.ias.edu

From playlist Mathematics

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"When" Is the graph increasing decreasing constant?

👉 Learn how to determine increasing/decreasing intervals. There are many ways in which we can determine whether a function is increasing or decreasing but we will focus on determining increasing/decreasing from the graph of the function. A function is increasing when the graph of the funct

From playlist When is the Function Increasing Decreasing or Neither

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Lecture 05: Spatial Transformations (CMU 15-462/662)

Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz2emSh0UQ5iOdT2xRHFHL7E Course information: http://15462.courses.cs.cmu.edu/

From playlist Computer Graphics (CMU 15-462/662)

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Conformal Geometry Processing

Symposium on Geometry Processing 2017 Graduate School Lecture by Keenan Crane https://www.cs.cmu.edu/~kmcrane/ http://geometry.cs.ucl.ac.uk/SGP2017/?p=gradschool#abs_conformal_geometry Digital geometry processing is the natural extension of traditional signal processing to three-dimensi

From playlist Tutorials and Lectures

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Laurent Bartholdi - Imbeddings in groups of subexponential growth

Laurent Bartholdi (University of Gottingen, Germany) A finitely generated group has subexponential growth if the number of group elements expressible as words of length $\le n$ grows subexponentially in $n$. I will show that every countable group that does not contain a subgroup of expone

From playlist T1-2014 : Random walks and asymptopic geometry of groups.

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Conformality, Curl, Curl's Counterpart, Cauchy-Riemann 'quations

Presenting: Problems Per Providing 'Perfect Pizza Proportions' 0:00 Problem formulation 3:18 1D divergence 9:26 2D divergence 10:46 Curl 14:59 Problem *re*formulation 16:53 Using div & curl 19:40 Conclusion 20:58 Afterword

From playlist Summer of Math Exposition Youtube Videos

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Ahlfors-Bers 2014 "On isomorphism and disjointness of interval exchanges and flows on flat surfaces"

Jon Chaika (University of Utah): A basic question in dynamical systems is when are two systems isomorphic. Starting from rotations of the circle and flows on tori we will talk about the fact that typical interval exchanges and flows on flat surfaces are not isomorphic. In fact, they satisf

From playlist The Ahlfors-Bers Colloquium 2014 at Yale

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Learn to find max, min and intervals of increasing, decreasing

👉 Learn how to determine increasing/decreasing intervals. There are many ways in which we can determine whether a function is increasing or decreasing but we will focus on determining increasing/decreasing from the graph of the function. A function is increasing when the graph of the funct

From playlist When is the Function Increasing Decreasing or Neither

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Elmar Schrohe: Fourier integral operators on manifolds with boundary and ...

Full Title: Fourier integral operators on manifolds with boundary and the Atiyah-Weinstein index theorem The lecture was held within the framework of the Hausdorff Trimester Program Non-commutative Geometry and its Applications. (18.12.2014)

From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"

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Discrete mathematics | Convex hull | Continuous function | Triangulation (topology) | Simplex