Consider a function F (X, Y) of pairs of positive matrices with values in the positive matrices such that whenever X and Y commute F (X, Y) = X p Y q. Our first main result gives conditions on F such ...

Quantum computers have the potential to speed up computation, help design new medicines, break codes, and discover exotic new ...

The truth is painfully simple: consistency isn’t just important; it’s everything when it comes to achieving extraordinary ...

This important study demonstrates the significance of incorporating biological constraints in training neural networks to develop models that make accurate predictions under novel conditions. By ...

However, to date, there is no investigation for q-rung orthopair fuzzy derivatives and differentials, which are very important for further developing q-rung orthopair fuzzy calculus (q-ROFC). The ...

A method for extracting spatiospectral features from hyperspectral (HS) data is proposed. Based on 2-D Gaussian derivative (GD) functions, a bank of 2-D filters is designed. These filters are utilized ...

A hypothesis concerning the exponential buildup of polyelectrolyte multilayer films prepared by layer-by-layer assembly has become widely accepted in the scientific community. This model was first ...

We can find an analogous process in Calculus, when we know how a function behaves for some values of x and we shift our reasoning on a generic abscissa x, which must belong to the function domain, but ...

Rapid and Scalable Synthesis of Monodisperse Poly(ethylene glycol) Derivatives via KHMDS-Promoted Iterative Exponential Growth and Its Applications Click to copy article link Article link copied!

Appendix A The Eulerian Functions . The Gamma function: Γ(z) The Beta function: B(p, q) Logarithmic derivative of the Gamma function; The incomplete Gamma functions; Appendix B The Bessel Functions .

Calculus challenge exam Wednesday, June 25, 2025. This examination is held at UNB (Fredericton and Saint John campuses) and is open to students registered in a calculus course at a high school that ...