Convex optimization

Geometric programming

A geometric program (GP) is an optimization problem of the form where are posynomials and are monomials. In the context of geometric programming (unlike standard mathematics), a monomial is a function from to defined as where and . A posynomial is any sum of monomials. Geometric programming isclosely related to convex optimization: any GP can be made convex by means of a change of variables. GPs have numerous applications, including component sizing in IC design, aircraft design, maximum likelihood estimation for logistic regression in statistics, and parameter tuning of positive linear systems in control theory. (Wikipedia).

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What is the definition of a geometric sequence

👉 Learn about sequences. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. There are many types of sequence, among which are: arithmetic and geometric sequence. An arithmetic sequence is a sequence in which

From playlist Sequences

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Geometric Algebra - The Matrix Representation of a Linear Transformation

In this video, we will show how matrices as computational tools may conveniently represent the action of a linear transformation upon a given basis. We will prove that conventional matrix operations, particularly matrix multiplication, conform to the composition of linear transformations.

From playlist Geometric Algebra

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What is a geometric mean

Learn about the geometric mean of numbers. The geometric mean of n numbers is the nth root of the product of the numbers. To find the geometric mean of n numbers, we first multiply the numbers and then take the nth root of the product.

From playlist Geometry - GEOMETRIC MEAN

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How to determine the rule for a geometric sequence given two values

👉 Learn how to write the explicit formula for a geometric sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. A geometric sequence is a sequence in which each term of the sequence is obtained by multi

From playlist Sequences

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Learn to write the explicit formula for the geometric sequence

👉 Learn how to write the explicit formula for a geometric sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. A geometric sequence is a sequence in which each term of the sequence is obtained by multi

From playlist Sequences

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To construct a PENTAGON with ruler (straightedge) and compass

Geometrical construction of a pentagon with Euclidean Tools Follow me: http://www.twitter.com/dantecardoso

From playlist Math

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Geometric Series

This video introduces geometric series. http://mathispower4u.yolasite.com/

From playlist Series (Algebra)

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Geometric Algebra, First Course, Episode 08: The Geometric Product.

We finally arrive at the ability to multiply our Geometric numbers together. We see where the geometric product comes from, leading to the definition for vector multiplication, and we add some definitions that allow us to multiply all elements of our algebra. We also use automated testing

From playlist Geometric Algebra, First Course, in STEMCstudio

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STEMCstudio, Episode 03: Automated Testing

Want to be confident that you powerful mathematical simulation objects will never fail? In this video we look at the Why and How of Automated Testing in STEMCstudio using the Jasmine framework.

From playlist STEMCstudio Manual

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Lecture 1: Geometric Langlands and S-duality in N = 4 SYM by Sergei Gukov

Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries

From playlist Quantum Fields, Geometry and Representation Theory

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Lecture 1: Invitation to topos theory

This talk introduces the motivating question for this semester of the Curry-Howard seminar, which is how to organise mathematical knowledge using topoi. The approach sketched out in the talk is via first-order theories, their associated classifying topoi, and adjoint pairs of functors betw

From playlist Topos theory seminar

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Three Faces of the Geometric Phase by Poonam Mehta

DISCUSSION MEETING : GEOMETRIC PHASES IN OPTICS AND TOPOLOGICAL MATTER ORGANIZERS : Subhro Bhattacharjee, Joseph Samuel and Supurna Sinha DATE : 21 January 2020 to 24 January 2020 VENUE : Madhava Lecture Hall, ICTS, Bangalore This is a joint ICTS-RRI Discussion Meeting on the geometric

From playlist Geometric Phases in Optics and Topological Matter 2020

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James Arthur: The Langlands program: arithmetic, geometry and analysis

Abstract: As the Abel Prize citation points out, the Langlands program represents a grand unified theory of mathematics. We shall try to explain in elementary terms what this means. We shall describe an age old question concerning the arithmetic prime numbers, together with a profound gene

From playlist Abel Lectures

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Kenneth Ascher: What is a moduli space?

Abstract: Moduli spaces are geometric spaces which parametrize equivalence classes of algebraic varieties. I will discuss the moduli space of algebraic curves equivalently Riemann surfaces) of genus g, and use this example to motivate some interesting questions in higher dimensions. Biogr

From playlist What is...? Seminars

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Omar Fawzi: "New quantum Rényi divergences and applications"

Entropy Inequalities, Quantum Information and Quantum Physics 2021 "New quantum Rényi divergences and applications" Omar Fawzi - École Normale Supérieure de Lyon Abstract: I will discuss new quantum Rényi divergences defined via a convex optimization program and their applications to qua

From playlist Entropy Inequalities, Quantum Information and Quantum Physics 2021

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Infinite Geometric Series - Find the Sum

TabletClass Math: https://tcmathacademy.com/ Find the sum of an infinite geometric series. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at https://tcmathacademy.com/ Math Notes: Pre-Algebra Notes: https:

From playlist Pre-Calculus / Trigonometry

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The Geometric Langlands conjecture and non-abelian Hodge theory (Lecture 1) by Ron Donagi

Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries

From playlist Quantum Fields, Geometry and Representation Theory

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The Computational Complexity of Geometric Topology Problems - Greg Kuperberg

Greg Kuperberg University of California, Davis September 24, 2012 This talk will be a partial survey of the first questions in the complexity theory of geometric topology problems. What is the complexity, or what are known complexity bounds, for distinguishing n-manifolds for various n? Fo

From playlist Mathematics

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Intro to Geometric Sequences

I introduce the concept of Geometric Sequences and writing the general formula for this type of sequence. I finish by working through several examples. For all my lessons on Sequences and Series go here:) http://www.profrobbob.com/pre-calculus/intro-to-sequences-arithmetic-geometric Chec

From playlist PreCalculus

Related pages

Logistic regression | Convex optimization | Control theory | Maximum likelihood estimation | Affine transformation | Linear dynamical system | Statistics | LogSumExp | Signomial