Evaluate the composition of trigonometric functions by creating a right triangle. In this video we will evaluate the tangent by given the ratio for cosine. To do this we will use right triangle and ...

Abstract: Frequency-domain methods in signal reconstruction problems rely on the sparsity of many real-world objects in frequency space. Conversely, in this letter, we investigate the solution set of ...

Abstract: This paper firstly compares the common virtual reality technology production methods, determines the reasonable lower limb rehabilitation exercise modeling method, establishes a more ...

Simple FFT is a C++ library implementing fast Fourier transform. The implemented FFT is a radix-2 Cooley-Turkey algorithm. This algorithm can't handle transform of data which size is not a power of 2.

Background Ventilator-free days (VFDs), a composite endpoint combining survival and mechanical ventilation duration, are increasingly used in acute respiratory distress syndrome (ARDS) trials to ...

While beating an AI at a board game may seem relatively trivial, it can help us identify failure modes of the AI, or ways in which we can improve their training to avoid having them develop these ...

VUB's Data Analytics Lab has published new results showing that it is possible to develop original mathematical proofs using commercial language models. In a paper posted to the arXiv preprint server, ...

This is a small collection of formally verified junk theorems provable in Lean 4 + Mathlib that, in my experience, are quite surprising and upsetting to mathematicians who are not familiar with type ...

The course gives an introduction to smooth manifolds. It covers tangent bundles, vector fields and integral curves (ordinary differential equations), Lie groups, differential forms, and integration.

This compendium provides a self-contained introduction to mathematical analysis in the field of machine learning and data mining. The mathematical analysis component of the typical mathematical ...