Euclidean solid geometry | Geometric dissection
The third of Hilbert's list of mathematical problems, presented in 1900, was the first to be solved. The problem is related to the following question: given any two polyhedra of equal volume, is it always possible to cut the first into finitely many polyhedral pieces which can be reassembled to yield the second? Based on earlier writings by Carl Friedrich Gauss, David Hilbert conjectured that this is not always possible. This was confirmed within the year by his student Max Dehn, who proved that the answer in general is "no" by producing a counterexample. The answer for the analogous question about polygons in 2 dimensions is "yes" and had been known for a long time; this is the Wallace–Bolyai–Gerwien theorem. Unknown to Hilbert and Dehn, Hilbert's third problem was also proposed independently by Władysław Kretkowski for a math contest of 1882 by the Academy of Arts and Sciences of Kraków, and was solved by Ludwik Antoni Birkenmajer with a different method than Dehn. Birkenmajer did not publish the result, and the original manuscript containing his solution was rediscovered years later. (Wikipedia).
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
C14 Example problem with a third order linear DE with constant coefficients
Example problem solving a third-order linear, homogeneous, ODE with constant coefficients.
From playlist Differential Equations
Hilbert's 10th Problem: Decision Problem on Solvability of Diophantine Equations
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From playlist Elementary Number Theory
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From playlist Differential Equations
A06 Example problem including the Wronskian
Example problem solving a system of linear differential equations, including a look at the Wronskian so make sure that the solutions are not constant multiples of each other.
From playlist A Second Course in Differential Equations
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
A10 Example problem of multiplicity three
An example problem of multiplicity three.
From playlist A Second Course in Differential Equations
Space-Filling Curves (2 of 4: Hilbert Curve)
More resources available at www.misterwootube.com
From playlist Exploring Mathematics: Fractals
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From playlist Coding in the Cabana
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From playlist Explore the World Science Festival
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From playlist Abel Lectures
Richard Kerner - Geometry, Matter and Physics
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From playlist Combinatorics and Arithmetic for Physics: special days
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From playlist Non-Hermitian Physics - PHHQP XVIII
V4-02. Linear Programming. Definition of the Dual problem.
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From playlist Math484 Linear Programming Short Videos, summer 2020
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From playlist Summer of Math Exposition Youtube Videos
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From playlist Mathematics
Atish Mitra - The space of persistence diagrams on n points coarsely embeds into Hilbert Space
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From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
algebraic geometry 11 Quotients of varieties by groups
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From playlist Algebraic geometry I: Varieties
C13 Third and higher order linear DE with constant coefficients
An example problem of a third-order, homogeneous, linear ODE with constant coefficients by making use of the roots of the auxiliary equation.
From playlist Differential Equations
On the dyadic Hilbert transform – Stefanie Petermichl – ICM2018
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From playlist Analysis & Operator Algebras