Nature

Harmonic Functions And Partial Differential Equations

Harmonic functions, defined as twice continuously differentiable functions satisfying Laplace’s equation, have long been a subject of intense study in both pure and applied mathematics. Their ...
JSTOR Daily

Example of a Monotonic, Everywhere Differentiable Function on ℝ Whose Derivative Is not Continuous

https://doi.org/10.4169/amer.math.monthly.120.06.566 https://www.jstor.org/stable/10.4169/amer.math.monthly.120.06.566 Abstract We construct an example of a monotonic ...
Scientific Research Publishing

A Simple Way to Prove the Characterization of Differentiable Quasiconvex Functions ()

Quasiconvex functions play an important role in several branches of applied mathematics (e.g. mathematical programming, minimax theory, games theory, etc.) and of economic analysis (production theory, ...
GitHub

An optimal transport inspired loss function for improving frequency localization in differentiable DSP

This is the official repository for the paper "Unsupervised Harmonic Parameter Estimation Using Differentiable DSP and Spectral Optimal Transport.", by Bernardo Torres, Geoffroy Peeters, and Gaël ...