Measures (measure theory)

Logarithmically concave measure

In mathematics, a Borel measure μ on n-dimensional Euclidean space is called logarithmically concave (or log-concave for short) if, for any compact subsets A and B of and 0 < λ < 1, one has where λ A + (1 − λ) B denotes the Minkowski sum of λ A and (1 − λ) B. (Wikipedia).

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Evaluate inverse of cosecant using a calculator

👉 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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Given the Value of Cotangent Find the Angle Measurement

👉 Learn how to evaluate the inverse of reciprocal trigonometric functions. Recall that the reciprocal trigonometric functions are given by the ratio of 1 and the corresponding trigonometric function. When an angle is unknown but the value of one of the reciprocal trigonometric functions of

From playlist Evaluate Inverse Trigonometric Functions

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How to evaluate the inverse of cosine with a calculator

👉 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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What are the Inverse Trigonometric functions and what do they mean?

👉 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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Emanuel Milman: 1 D Localization part 4

The lecture was held within the framework of the Hausdorff Trimester Program: Optimal Transportation and the Workshop: Winter School & Workshop: New developments in Optimal Transport, Geometry and Analysis

From playlist HIM Lectures 2015

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Bo’az Klartag: On Yuansi Chen’s work on the KLS conjecture II

The Kannan-Lovasz-Simonovits (KLS) conjecture is concerned with the isoperimetric problem in high-dimensional convex bodies. The problem asks for the optimal way to partition a convex body into two pieces of equal volume so as to minimize their interface. The conjecture suggests that up to

From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability

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Complex Brunn–Minkowski theory and positivity of vector bundles – Bo Berndtsson – ICM2018

Geometry | Analysis and Operator Algebras Invited Lecture 5.2 | 8.2 Complex Brunn–Minkowski theory and positivity of vector bundles Bo Berndtsson Abstract: This is a survey of results on positivity of vector bundles, inspired by the Brunn–Minkowski and Prékopa theorems. Applications to c

From playlist Geometry

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Peter Pivovarov: Random s-concave functions and isoperimetry

I will discuss stochastic geometry of s-concave functions. In particular, I will explain how a ”local” stochastic isoperimetry underlies several functional inequalities. A new ingredient is a notion of shadow systems for s-concave functions. Based on joint works with J. Rebollo Bueno.

From playlist Workshop: High dimensional spatial random systems

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Galyna Livshyts - On a conjectural symmetric version of the Ehrhard inequality

Recorded 08 February 2022. Galyna Livshyts of the Georgia Institute of Technology presents "On a conjectural symmetric version of the Ehrhard inequality" at IPAM's Calculus of Variations in Probability and Geometry Workshop. Abstract: Ehrhard’s inequality is a sharp inequality about the Ga

From playlist Workshop: Calculus of Variations in Probability and Geometry

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Your Dreams May Come True with MTP2 by Caroline Uhler

COLLOQUIUM YOUR DREAMS MAY COME TRUE WITH MTP2 SPEAKER: Caroline Uhler (Massachusetts Institute of Technology, Cambridge) DATE: Mon, 22 July 2019, 15:00 to 16:00 VENUE: Emmy Noether Seminar Room, ICTS Campus, Bangalore RESOURCES ABSTRACT We study probability distributions that are m

From playlist ICTS Colloquia

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Given the Value of Cotangent on the Unit Circle Find the Angle Measurement

👉 Learn how to evaluate the inverse of reciprocal trigonometric functions. Recall that the reciprocal trigonometric functions are given by the ratio of 1 and the corresponding trigonometric function. When an angle is unknown but the value of one of the reciprocal trigonometric functions of

From playlist Evaluate Inverse Trigonometric Functions

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2020.07.02 Ron Peled - Fluctuations of random surfaces and concentration inequalities

Random surfaces in statistical physics are commonly modeled by a real-valued function on a d-dimensional lattice, whose probability density penalizes nearest-neighbor fluctuations according to an interaction potential U. The case U(x)=x^2 is the well-studied lattice Gaussian free field, wh

From playlist One World Probability Seminar

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Logarithmic concavity of Schur polynomials - June Huh

Members' Seminar Topic: Logarithmic concavity of Schur polynomials Speaker: June Huh Visiting Professor, School of Mathematics Date: October 7, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

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What is the definition of the inverse Tangent 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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How to determine the point on the unit circle given an angle

👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the x-axis at the center of the unit circle, we plot the a

From playlist Evaluate Trigonometric Functions With The Unit Circle (ALG2)

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Given the Value of a Trigonometric Function Find the Angle

👉 Learn how to evaluate the inverse of reciprocal trigonometric functions. Recall that the reciprocal trigonometric functions are given by the ratio of 1 and the corresponding trigonometric function. When an angle is unknown but the value of one of the reciprocal trigonometric functions of

From playlist Evaluate Inverse Trigonometric Functions

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What is the definition of the inverse sine 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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Alina Stancu: Some comments on the fundamental gap of the Dirichlet Laplacian in hyperbolic space

I will present some results on the fundamental gap of convex domains in hyperbolic space for different types of convexity. The results are in contrast with the behaviour of the fundamental gap in Euclidean space and I will make some comments on the aspects of the problem that are different

From playlist Workshop: High dimensional measures: geometric and probabilistic aspects

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Variational Methods: How to Derive Inference for New Models (with Xanda Schofield)

This is a single lecture from a course. If you you like the material and want more context (e.g., the lectures that came before), check out the whole course: https://sites.google.com/umd.edu/2021cl1webpage/ (Including homeworks and reading.) Xanda's Webpage: https://www.cs.hmc.edu/~xanda

From playlist Computational Linguistics I

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Evaluate for theta between 0 and 2pi

👉 Learn how to evaluate the inverse of reciprocal trigonometric functions. Recall that the reciprocal trigonometric functions are given by the ratio of 1 and the corresponding trigonometric function. When an angle is unknown but the value of one of the reciprocal trigonometric functions of

From playlist Evaluate Inverse Trigonometric Functions

Related pages

Lebesgue measure | Dimension | Mathematics | Gaussian measure | Logarithmically concave function | Prékopa–Leindler inequality | Brunn–Minkowski theorem | Convex measure | Euclidean space | Borel measure | Convex set | Convolution