Disproved conjectures | Polynomials

Hilbert's thirteenth problem

Hilbert's thirteenth problem is one of the 23 Hilbert problems set out in a celebrated list compiled in 1900 by David Hilbert. It entails proving whether a solution exists for all 7th-degree equations using algebraic (variant: continuous) functions of two arguments. It was first presented in the context of nomography, and in particular "nomographic construction" — a process whereby a function of several variables is constructed using functions of two variables. The variant for continuous functions was resolved affirmatively in 1957 by Vladimir Arnold when he proved the Kolmogorov–Arnold representation theorem, but the variant for algebraic functions remains unresolved. (Wikipedia).

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C74 Example problem

A first example problem solving a linear, second-order, homogeneous, ODE with variable coefficients around a regular singular point.

From playlist Differential Equations

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C49 Example problem solving a system of linear DEs Part 1

Solving an example problem of a system of linear differential equations, where one of the equations is not homogeneous. It's a long problem, so this is only part 1.

From playlist Differential Equations

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M. Kisin - Hilbert's thirteenth problem and the moduli space of abelian varieties

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From playlist Arithmetic and Algebraic Geometry: A conference in honor of Ofer Gabber on the occasion of his 60th birthday

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The Geometry of Hilbert's 13th problem - Jesse Wolfson

Special Seminar on Hilbert's 13th Problem I Topic: The Geometry of Hilbert's 13th problem Speaker: Jesse Wolfson Affiliation: University of California, Irvine Date: December 5, 2019 For more video please visit http://video.ias.edu

From playlist Mathematics

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13F Example Problems for Euclidean n Space

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From playlist Linear Algebra

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C56 Continuation of previous problem

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From playlist Differential Equations

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B25 Example problem solving for a Bernoulli equation

See how to solve a Bernoulli equation.

From playlist Differential Equations

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The Reconstruction Amendments: Overview and 13th Amendment

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From playlist Period 5: 1844-1877 | AP US History | Khan Academy

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Lecture 7. Israel in Egypt: Moses and the Beginning of Yahwism (Genesis 37- Exodus 4)

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From playlist Introduction to the Old Testament With Christine Hayes

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C47 Example problem solving a Cauchy Euler equation

The last problem solved in this section, before we move on to another technique for linear differential equations.

From playlist Differential Equations

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Rings 18 Hilbert's theorems

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From playlist Rings and modules

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21. Andrew Johnson and the Radicals: A Contest over the Meaning of Reconstruction

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From playlist The Civil War and Reconstruction with David Blight

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From playlist Royal Family Trees

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From playlist The MacMillan Report

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From playlist 03. Concepts and History of Astronomy and Physics

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Elliptic curves

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From playlist Elliptic Curves - Number Theory and Applications

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Anthony Henderson: Hilbert Schemes Lecture 4

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From playlist SMRI Course: Hilbert Schemes

Related pages

Septic equation | Vladimir Arnold | Class (set theory) | David Hilbert | Function composition | Andrey Kolmogorov | Argument of a function | Goro Shimura | Algebraic function | William Rowan Hamilton | Continuous function | Kolmogorov–Arnold representation theorem