The partial differential equation called the heat equation describes how some quantity, such as heat, distributes over time in a homogeneous and isotropic solid medium.

#MathType #math #math ematics #math ematical #math ematician #math problems #math facts

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Mathematics.

Are there lots of integer solutions for this mysterious equation, or just a few?

Edging sin(x) with Taylor polynomials

The Fermat's last theorem project. ~ Kevin Buzzard. leanprover-community.github.io/blog/posts/FLT… #ITP #Lean4 #Math

LU decomposition factors a matrix as a product of a lower triangular matrix and an upper triangular matrix. It is a method used by computers to solve systems of linear equations, to invert a matrix or compute its determinant.

#MathType #math #math ematics #math fact

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Discrete Fourier transform has many important applications e.g. in optics and data compression

en.wikipedia.org/wiki/Discrete_…

The list of mini-symposia at the ECM2024 is now available!!! Check it at ecm2024sevilla.com/index.php/prog…

The exterior derivative takes many forms

💡 A very readable introduction to category theory

by Paolo Perrone

#maths #categorytheory #openscience @arXiv

arxiv.org/abs/1912.10642

Heat vs wave equations. en.wikipedia.org/wiki/Heat_equa… en.wikipedia.org/wiki/Wave_equa…

It's good to see how #topology continues to be a useful tool in studying Nature. This first paragraph from a recent paper by #Japanese physicists encapsulate that very well (published in Nature Physics). #physics #math -- arxiv.org/abs/2307.16827

💡 Top 10 chaotic dynamical systems

by Oliver Knill of Harvard Department of Mathematics

#chaos #dynsys #ODEs #deterministicchaos #nonlineardynamics #nonlinearity

youtu.be/om92vgw7JtI

how it started // how it is going

A topological space is a geometrical space where we can define the notion of closeness but where there's not necessarily a distance to measure it. Topological spaces are a fundamental concept used in every modern mathematics branch.

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#Talk 'Machine assisted proofs', by Terence Tao (UCLA) Jan 3, 2024 [Slides PDF]terrytao.files.wordpress.com/2024/03/machin… [Text Transcription PDF] terrytao.files.wordpress.com/2024/03/machin…