Mathematical optimization software | Computer algebra systems

Algebraic modeling language

Algebraic modeling languages (AML) are high-level computer programming languages for describing and solving high complexity problems for large scale mathematical computation (i.e. large scale optimization type problems). One particular advantage of some algebraic modeling languages like AIMMS, AMPL, GAMS, Gekko, MathProg,Mosel, andOPLis the similarity of their syntax to the mathematical notation of optimization problems. This allows for a very concise and readable definition of problems in the domain of optimization, which is supported by certain language elements like sets, indices, algebraic expressions, powerful sparse index and data handling variables, constraints with arbitrary names. The algebraic formulation of a model does not contain any hints how to process it. An AML does not solve those problems directly; instead, it calls appropriate external algorithms to obtain a solution. These algorithms are called solvers and can handle certain kind of mathematical problems like: * linear problems * integer problems * (mixed integer) quadratic problems * mixed complementarity problems * mathematical programs with equilibrium constraints * constrained nonlinear systems * general nonlinear problems * non-linear programs with discontinuous derivatives * nonlinear integer problems * global optimization problems * stochastic optimization problems (Wikipedia).

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Algebraic Expressions (Basics)

This video is about Algebraic Expressions

From playlist Algebraic Expressions and Properties

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Algebraic JavaScript

Ian talks about leveraging algebraic theory in JavaScript to create functional, structured code that is simple to test and demonstrates algebraic traits. EVENT: Vancouver Full Stack, 2019-09-17 SPEAKER: Ian Hofmann-Hicks PUBLICATION PERMISSIONS: Original video was published with the

From playlist JavaScript

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Verbal Expressions Basics 3

In this video we look at translating a verbal expression to an algebraic one.

From playlist Algebra 1 Test 1

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C53 Introduction to modelling

An introduction to modelling with higher order differential equations.

From playlist Differential Equations

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Algebraic Calculus One - Now under way!

This is an initial preview of the upcoming openlearning course called Algebraic Calculus One which is actually rolling out in beta version in 2018. In this video we map out some aspects of this coming course, and have a broader discussion of the History of Calculus and important textbooks

From playlist Algebraic Calculus One Info

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B27 Introduction to linear models

Now that we finally now some techniques to solve simple differential equations, let's apply them to some real-world problems.

From playlist Differential Equations

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Evaluating mathematical expressions

👉 Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to the expression given the value(s) of the variable(s)

From playlist Simplify Expressions Using Order of Operations

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Algebraic Calculus One ... and Two! | Algebraic Calculus Info | N J Wildberger

The online course Algebraic Calculus One at openlearning.com has had its first beta run at openlearning.com over the last two years. Overall it has been a very pleasant success. In this video we recount the main innovative aspects of this purely algebraic approach to a classical subject. T

From playlist Algebraic Calculus One Info

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Integrating Inference with Stochastic Process Algebra Models - Jane Hillston, Edinburgh

ProPPA is a probabilistic programming language for continuous-time dynamical systems, developed as an extension of the stochastic process algebra Bio-PEPA. It offers a high-level syntax for describing systems of interacting components with stochastic behaviours where some of the parameters

From playlist Logic and learning workshop

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Analytic Geometric Langlands-correspondence: Relations to Conformal ..(Lecture 3) by Joerg Teschner

Program Quantum Fields, Geometry and Representation Theory 2021 (ONLINE) ORGANIZERS: Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pandi

From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)

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Sophie Morel - Shimura Varieties (3/3)

Depending on your point of view, Shimura varieties are a special kind of locally symmetric spaces, a generalization of moduli spaces of abelian schemes with extra structures, or the imperfect characteristic 0 version of moduli spaces of shtuka. They play an important role in the Langlands

From playlist 2022 Summer School on the Langlands program

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From playlist Spring 2021 Online Kolchin Seminar in Differential Algebra

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Gauge Theory and the Analytic Approach to Geometric Langlands - Edward Witten

Clay Research Conference Topic: Gauge Theory and the Analytic Approach to Geometric Langlands Speaker: Edward Witten Affiliation: Professor, School of Natural Sciences Date: September 30, 2021 Recently P. Etingof, E. Frenkel, and D. Kazhdan, following earlier contributions by R. Langl

From playlist Mathematics

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Quantization By Branes And Geometric Langlands Lecture 2 by Edward Witten

PROGRAM : QUANTUM FIELDS, GEOMETRY AND REPRESENTATION THEORY 2021 (ONLINE) ORGANIZERS : Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pan

From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)

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Rahim Moosa: Nonstandard compact complex manifolds with a generic auto-morphism

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Logic and Foundations

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DSI | Diagrammatic Differential Equations in Physics Modeling and Simulation

Abstract: I’ll discuss some results from a recent paper on applying categories of diagrams for specifying multiphysics models for PDE-based simulations. We developed a graphical formalism inspired by the graphical approach to physics pioneered by the late Enzo Tonti. We will discuss the gr

From playlist DSI Virtual Seminar Series

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Analytic Geometric Langlands-correspondence: Relations to Conformal (Lecture 1) by Joerg Teschner

Program Quantum Fields, Geometry and Representation Theory 2021 (ONLINE) ORGANIZERS: Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pandi

From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)

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Introduction to Signed Area | Algebraic Calculus One | Wild Egg

This is a lecture in the Algebraic Calculus One course, which will present an exciting new approach to calculus, sticking with rational numbers and high school algebra, and avoiding all "infinite processes", "real numbers" and other modern fantasies. The course will be carefully framed on

From playlist Algebraic Calculus One from Wild Egg

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Quasi-topological gauged sigma models, the geometric Langlands program, and knots by Meng-Chwan Tan

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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Gekko (optimization software) | Julia (programming language) | AIMMS | Mathematical problem | Decision support system | JuMP | Stochastic optimization | Mathematical optimization | FICO Xpress | Optimization Programming Language | Solver | Constraint (mathematics) | Pyomo | Mixed complementarity problem | AMPL