Convex optimization | Convex analysis | Generalized convexity | Real analysis | Types of functions

Quasiconvex function

In mathematics, a quasiconvex function is a real-valued function defined on an interval or on a convex subset of a real vector space such that the inverse image of any set of the form is a convex set. For a function of a single variable, along any stretch of the curve the highest point is one of the endpoints. The negative of a quasiconvex function is said to be quasiconcave. All convex functions are also quasiconvex, but not all quasiconvex functions are convex, so quasiconvexity is a generalization of convexity. Quasiconvexity and quasiconcavity extend to functions with multiple arguments the notion of unimodality of functions with a single real argument. (Wikipedia).

Quasiconvex function
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Inverse Functions

A graphic and algebraic approach to finding inverse functions. Definition of the Inverse of a Function Let f and g be two functions such that f(g(x)) = x for every x in the domain of g and g(f(x)) = x for all x in the domain of f. Check out http://www.ProfRobBob.com, there you will find

From playlist PreCalculus

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Leonid Potyagailo - Similar Relatively hyperbolic actions of a group

Leonid Potyagailo (Université de Lille 1, France) This is a joint work with Victor Gerasimov (University of Belo Horisonte, Brasil). Let a discrete group $G$ possess two convergence actions by homeomorphisms on compacta $X$ and $Y$. Consider the following question: does there exist a con

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

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Algebraic Ending Laminations and Quasiconvexity by Mahan Mj

Surface Group Representations and Geometric Structures DATE: 27 November 2017 to 30 November 2017 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The focus of this discussion meeting will be geometric aspects of the representation spaces of surface groups into semi-simple Lie groups. Classi

From playlist Surface Group Representations and Geometric Structures

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A New Cubulation Theorem for Hyperbolic Groups- Daniel Groves

Daniel Groves University of Illinois, Chicago October 27, 2015 https://www.math.ias.edu/seminars/abstract?event=83384 We prove that if a hyperbolic group G acts cocompactly on a CAT(0) cube complexes and the cell stabilizers are quasiconvex and virtually special, then G is virtually spec

From playlist Geometric Structures on 3-manifolds

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(New Version Available) Inverse Functions

New Version: https://youtu.be/q6y0ToEhT1E Define an inverse function. Determine if a function as an inverse function. Determine inverse functions. http://mathispower4u.wordpress.com/

From playlist Exponential and Logarithmic Expressions and Equations

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Irène Waldspurger: Rank optimality for the Burer-Monteiro factorization

The Burer-Monteiro factorization is a classical heuristic used to speed up the solving of large scale semidefinite programs when the solution is expected to be low rank: One writes the solution as the product of thinner matrices, and optimizes over the (low-dimensional) factors instead of

From playlist Control Theory and Optimization

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Vladimir Itskov (4/9/19): Directed complexes, sequence dimension and inverting a neural network

Title: Directed complexes, sequence dimension and inverting a neural network Abstract: What is the embedding dimension, and more generally, the geometry of a set of sequences? This problem arises in the context of neural coding and neural networks. Here one would like to infer the geometr

From playlist AATRN 2019

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Inverse Functions (part one)

An introduction to inverse functions. I talk about what an inverse function is, the relationship between domain and range, and the composition of two inverse functions. Stay tuned for part two! Facebook: https://www.facebook.com/braingainzofficial Instagram: https://www.instagram.com/b

From playlist Precalculus

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Ex 1: Find the Inverse of a Function

This video provides two examples of how to determine the inverse function of a one-to-one function. A graph is used to verify the inverse function was found correctly. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com

From playlist Determining Inverse Functions

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Ex 2: Find the Inverse of a Function

This video provides two examples of how to determine the inverse function of a one-to-one function. A graph is used to verify the inverse function was found correctly. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com

From playlist Determining Inverse Functions

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Learn step by step how to find the inverse of an equation, then determine if a function or not

👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe

From playlist Find the Inverse of a Function

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Introduction to Hyperbolic Functions

This video provides a basic overview of hyperbolic function. The lesson defines the hyperbolic functions, shows the graphs of the hyperbolic functions, and gives the properties of hyperbolic functions. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com

From playlist Differentiation of Hyperbolic Functions

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What is the definition of the inverse cosine function

👉 Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the inverse trigonometric functions, especially for non-

From playlist Evaluate Inverse Trigonometric Functions

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Lesson: Inverse Functions

Define an inverse function. Determine if a function as an inverse function. Determine inverse functions.

From playlist Determining Inverse Functions

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Lilya Budaghyan : On APN and AB power functions

CONFERENCE Recording during the thematic meeting : « ALgebraic and combinatorial methods for COding and CRYPTography» the February 23, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given b

From playlist Combinatorics

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Kotlin Functions Tutorial | Kotlin Functional Programming Explained | Kotlin Tutorial | Simplilearn

🔥Post Graduate Program In Full Stack Web Development: https://www.simplilearn.com/pgp-full-stack-web-development-certification-training-course?utm_campaign=KotlinFunctionsTutorial-obN78NEd47g&utm_medium=DescriptionFF&utm_source=youtube 🔥Caltech Coding Bootcamp (US Only): https://www.simpli

From playlist C++ Tutorial Videos

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Mathematical Functions and Properties

The Wolfram Language has over 250 mathematical functions, including well-known elementary and special functions that have played a crucial role in the development of science for decades. Although this set is almost complete, we are continuously implementing new functionality for mathematic

From playlist Wolfram Technology Conference 2020

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Learn how to find inverse of a function and determine if the inverse is a function or not

👉 Learn how to find the inverse of a linear function. A linear function is a function whose highest exponent in the variable(s) is 1. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that whe

From playlist Find the Inverse of a Function

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Lecture 9.1 Periodic functions

Periodic functions are functions that repeat themselves at regular intervals. In this lecture, we discuss the properties of periodic functions.

From playlist MATH2018 Engineering Mathematics 2D

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Convex function | Monotonic function | Vector space | Subgradient method | Mathematical optimization | Minimax theorem | Pseudoconvex function | Nonlinear programming | Mathematical analysis | General equilibrium theory | Game theory | John von Neumann | Concave function | Iterative method | Sion's minimax theorem | Mathematics | Function (mathematics) | Argument of a function | Real number | Concavification | Gradient descent | Unimodality | Invex function | Interval (mathematics) | Pseudoconvexity | Computational complexity theory | Logarithmically concave function | Partial differential equation | Convex preferences | Convex set