Just like any living organism, the soil has its own metabolism. Plants, worms, insects, and most importantly, microorganisms in the soil break down organic matter, consume and generate nutrients, and ...

New research from the University of Chicago shows that a deceptively simple mathematical model can describe how the soil responds to environmental change. Using just two variables, the model shows ...

This important study presents a new method for longitudinally tracking cells in two-photon imaging data that addresses the specific challenges of imaging neurons in the developing cortex. It provides ...

Just like any living organism, the soil has its own metabolism. Plants, worms, insects, and most importantly, microorganisms in the soil, break down ...

Probability and Statistics Group research at the School of Mathematical and Computer Sciences at Heriot-Watt University, Edinburgh.

This piecewise linear method is an extension of the so-called averaging technique. It is shown that the Riccati equation for the linear approximation is solved by simple transformation of the ...

Abstract: A method is given for linear system reduction which is a more general form of the Routh method. The reduced models retain stability, and a fuller contribution is made to the impulse response ...

Proper handling of continuous variables is crucial in healthcare research, for example, within regression modelling for descriptive, explanatory, or predictive purposes. However, inadequate methods ...

If you pull twice as hard on a spring, it stretches twice as far. However, when we introduce very large forces or complicated interactions, that linear rule breaks down into a "nonlinear" regime.

Local LLMs aren’t just for proficient coders. If you’re comfortable using your computer’s command-line interface, which ...

Using an advanced Monte Carlo method, Caltech researchers found a way to tame the infinite complexity of Feynman diagrams and ...