What is the sum of all 5 digit numbers using 1, 2, 3, 4, 5 without repetition?

Restricting the weak problem to a finite-dimensional subspace with the Galerkin method, assembling the stiffness matrix and load vector, and bounding the discretisation error with Céa's lemma.

Bernhard Riemann's ideas concerning geometry of space had a profound effect on the development of modern theoretical physics. He clarified the notion of integral by defining what we now call the Riema...

From smartphones, to multi-core CPUs and GPUs, to the world's largest supercomputers and websites, parallel processing is ubiquitous in modern computing. The...

Extending the weak formulation to general second-order elliptic operators, giving the abstract bilinear form and linear functional of the finite element method.

A public workspace for machine mathematics: open problems, permanent records of proofs and attempts, evidence and credit.

A peer-reviewed video journal for mathematical research talks.

Deriving the weak form of the Poisson equation by integration by parts, with essential and natural boundary conditions and the conditions for well-posedness.

Generalising the Poisson equation to second-order linear elliptic operators, with uniform ellipticity, conormal boundary conditions, and well-posedness.

A full, free online version of Introduction to the Theory of Programming Languages, 2nd printing (1991) Copyright notice: The text is not in the public domain. It is copyrighted material, made availab...

We define the neural network model that we will be exploring in the following posts

Introducing a series of posts on the basics of Neural Networks

YouTube video by CultRepo

MathNet — a high-quality, large-scale, multimodal, and multilingual dataset of Olympiad-level math problems spanning 47 countries, 17 languages, and two decades. ICLR 2026.