Model theory | Differential algebra

Differentially closed field

In mathematics, a differential field K is differentially closed if every finite system of differential equations with a solution in some differential field extending K already has a solution in K. This concept was introduced by . Differentially closed fields are the analoguesfor differential equations of algebraically closed fields for polynomial equations. (Wikipedia).

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Field Theory - Algebraically Closed Fields - Lecture 9

In this video we define what an algebraically closed field and assert without proof that they exist. We also explain why if you can find a single root for any polynomial, then you can find them all.

From playlist Field Theory

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How to solve differentiable equations with logarithms

Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give

From playlist Differential Equations

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How to solve a differentialble equation by separating the variables

Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give

From playlist Solve Differential Equation (Particular Solution) #Integration

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Introduction to Differential Equations

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Introduction to Differential Equations - The types of differential equations, ordinary versus partial. - How to find the order of a differential equation.

From playlist Differential Equations

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Particular solution of differential equations

Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give

From playlist Solve Differential Equation (Particular Solution) #Integration

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Solve the general solution for differentiable equation with trig

Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give

From playlist Differential Equations

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Find the particular solution given the conditions and second derivative

Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give

From playlist Solve Differential Equation (Particular Solution) #Integration

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Field Theory - Algebraically Closed Fields (part 2) - Lecture 10

In this video we should that algebraically closed fields exist and are unique. We assume that the direct limit construction works. The construction here depends on the axiom of choice.

From playlist Field Theory

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B01 An introduction to separable variables

In this first lecture I explain the concept of using the separation of variables to solve a differential equation.

From playlist Differential Equations

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10/18/2019 Omar Leon Sanchez

Omar Leon Sanchez University of Manchester Differentially large fields Recall that a field K is large if it is existentially closed in the field of Laurent series K((t)). Examples of such fields are the complex, the real, and the p-adic numbers. This class of fields has been exploited si

From playlist Fall 2019 Kolchin Seminar in Differential Algebra

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Daniel Hoffmann, University of Warsaw

May 14, Daniel Hoffmann, University of Warsaw Fields with derivations and action of finite group

From playlist Spring 2021 Online Kolchin Seminar in Differential Algebra

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David Marker 5/13/16 Part 1

Title: Differential Fields—A Model Theorist's View May 2016 Kolchin Seminar Workshop

From playlist May 2016 Kolchin Seminar Workshop

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Finiteness theorems for Kolchin's constrained cohomology

By Anand Pillay, University of Notre Dame Finiteness theorems for Kolchin's constrained cohomology Kolchin Seminar, CUNY Graduate Center, October 4, 2019

From playlist Fall 2019 Kolchin Seminar in Differential Algebra

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Rahim Moosa 5/13/16 Part 1

Title: The Dixmier-Moeglin Problem for D-Varieties May 2016 Kolchin Seminar Workshop

From playlist May 2016 Kolchin Seminar Workshop

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William Simmons 4/24/15 Part 1

Title: A Differential Algebra Sampler

From playlist Spring 2015

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Vincent Bagayoko, École Polytechnique

February 26, Vincent Bagayoko, École Polytechnique Three flavors of H-fields

From playlist Spring 2021 Online Kolchin Seminar in Differential Algebra

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Anand Pillay 10/31/14 Part 1

Title: Interpretations and Differential Galois Extensions

From playlist Fall 2014

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Sebastian Eterović, UC Berkeley

April 12, Sebastian Eterović, UC Berkeley Existential Closedness and Differential Algebra

From playlist Spring 2022 Online Kolchin seminar in Differential Algebra

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How to solve a separable differential equation

Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give

From playlist Solve Differential Equation (Particular Solution) #Integration

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Elliot Kaplan, McMaster Unviersity

October 7, Elliot Kaplan, McMaster Unviersity Generic derivations on o-minimal structures

From playlist Fall 2021 Online Kolchin Seminar in Differential Algebra

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