In mathematics, a sequence a = (a0, a1, ..., an) of nonnegative real numbers is called a logarithmically concave sequence, or a log-concave sequence for short, if ai2 ≥ ai−1ai+1 holds for 0 < i < n . Remark: some authors (explicitly or not) add two further conditions in the definition of log-concave sequences: * a is non-negative * a has no internal zeros; in other words, the support of a is an interval of Z. These conditions mirror the ones required for log-concave functions. Sequences that fulfill the three conditions are also called Pólya Frequency sequences of order 2 (PF2 sequences). Refer to chapter 2 of for a discussion on the two notions. For instance, the sequence (1,1,0,0,1) satisfies the concavity inequalities but not the internal zeros condition. Examples of log-concave sequences are given by the binomial coefficients along any row of Pascal's triangle and the elementary symmetric means of a finite sequence of real numbers. (Wikipedia).
Solving the Logarithmic Equation log(A) = log(B) - C*log(x) for A
Solving the Logarithmic Equation log(A) = log(B) - C*log(x) for A Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys
From playlist Logarithmic Equations
Ex: Logarithmic Differentiation
This video provides and example of how the properties of logarithms can be used to determine the derivative of a function. Search Entire Video Library at www.mathispower4u.wordpress.com
From playlist Logarithmic Differentiation
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
Logarithmic Differentiation: x^(3sin(x))
This video provides an example on how to perform logarithmic differentiation.
From playlist Logarithmic Differentiation
Solving a logarithmic equation by using inverse properties
👉 Learn how to solve logarithmic equations. Logarithmic equations are equations with logarithms in them. To solve a logarithmic equation, we first isolate the logarithm part of the equation. After we have isolated the logarithm part of the equation, we then get rid of the logarithm. This i
From playlist Solve Logarithmic Equations
Solving an Equation with Two Logarithms log(x) + log(x - 21) = 2
Solving an Equation with Two Logarithms log(x) + log(x - 21) = 2 Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys
From playlist Logarithmic Equations
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
J-B Bost - Theta series, infinite rank Hermitian vector bundles, Diophantine algebraization (Part1)
In the classical analogy between number fields and function fields, an Euclidean lattice (E,∥.∥) may be seen as the counterpart of a vector bundle V on a smooth projective curve C over some field k. Then the arithmetic counterpart of the dimension h0(C,V)=dimkΓ(C,V) of the space of section
From playlist Ecole d'été 2017 - Géométrie d'Arakelov et applications diophantiennes
Logarithmic Differentiation of a Quotient
This video provides an example on how to perform logarithmic differentiation.
From playlist Logarithmic Differentiation
Lecture 4 | Convex Optimization I (Stanford)
Professor Stephen Boyd, of the Stanford University Electrical Engineering department, continues his lecture on convex functions in electrical engineering for the course, Convex Optimization I (EE 364A). Complete Playlist for the Course: http://www.youtube.com/view_play_list?p=3940DD956
From playlist Lecture Collection | Convex Optimization
Properties of Logarithms : Logarithms, Lesson 5
This tutorial shows how a logarithm containing a product in its argument can be written as a sum of two logarithms, and how a logarithms of a quotient can be written as a subtraction of two logarithms. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTk
From playlist All About Logarithms
Generalized maximum entropy estimation - T. Sutter - Main Conference - CEB T3 2017
Tobias Sutter (Zurich) / 11.12.2017 Title: Generalized maximum entropy estimation Abstract: We consider the problem of estimating a probability distribution that maximizes the entropy while satisfying a finite number of moment constraints, possibly corrupted by noise. Based on duality
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
Diffeomorphism groups of Critical Regularity (Lecture 2) by Sang-hyun Kim
PROGRAM: PROBABILISTIC METHODS IN NEGATIVE CURVATURE ORGANIZERS: Riddhipratim Basu (ICTS - TIFR, India), Anish Ghosh (TIFR, Mumbai, India), Subhajit Goswami (TIFR, Mumbai, India) and Mahan M J (TIFR, Mumbai, India) DATE & TIME: 27 February 2023 to 10 March 2023 VENUE: Madhava Lecture Hall
From playlist PROBABILISTIC METHODS IN NEGATIVE CURVATURE - 2023
Santosh Vempala: Reducing Isotropy to KLS: An Almost Cubic Volume Algorithm
Computing the volume of a convex body is an ancient problem whose study has led to many interesting mathematical developments. In the most general setting, the convex body is given only by a membership oracle. In this talk, we present a faster algorithm for isotropic transformation of an a
From playlist Workshop: High dimensional measures: geometric and probabilistic aspects
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
"Data-Driven Optimization in Pricing and Revenue Management" by Arnoud den Boer - Lecture 2
In this course we will study data-driven decision problems: optimization problems for which the relation between decision and outcome is unknown upfront, and thus has to be learned on-the-fly from accumulating data. This type of problems has an intrinsic tension between statistical goals a
From playlist Thematic Program on Stochastic Modeling: A Focus on Pricing & Revenue Management
Ex 2: Evaluate a Natural Logarithmic Expression Using the Properties of Logarithms
This video explains how to expand a logarithmic expression in order to evaluate the expression based upon given values. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Evaluating Logarithmic Expressions
Math tutorial for solving logarithmic equation using inverse operations
👉 Learn how to solve logarithmic equations. Logarithmic equations are equations with logarithms in them. To solve a logarithmic equation, we first isolate the logarithm part of the equation. After we have isolated the logarithm part of the equation, we then get rid of the logarithm. This i
From playlist Solve Logarithmic Equations
Tomasz Tkocz: Khinchin inequalities with sharp constants
I shall survey some classical results and present some recent results on sharp moment comparison inequalities for weighted sums of i.i.d. random variables, a.k.a. Khinchin inequalities.
From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability
Isolating a logarithm and using the power rule to solve
👉 Learn how to solve logarithmic equations. Logarithmic equations are equations with logarithms in them. To solve a logarithmic equation, we first isolate the logarithm part of the equation. After we have isolated the logarithm part of the equation, we then get rid of the logarithm. This i
From playlist Solve Logarithmic Equations