Japanese mathematician Masaki Kashiwara wins Abel Prize for contributions to algebraic analysis and representation theory at ...

Solving an equation means finding the value or values for which the two expressions on each side of the equals sign are equal. One of the most common methods used to solve equations is the balance ...

The seemingly unpredictable, and thereby uncontrollable, dynamics of living organisms have perplexed and fascinated ...

Theoretical physicists develop mathematical models to describe material systems, which they can then use to make predictions about how materials will behave. One of the most important models is the ...

Learn what residual standard deviation is, how to calculate it in regression analysis, and why it's crucial for measuring predictability and goodness-of-fit in data modeling.

Projects which are rooted in collaboration consistently perform better on all levels. These projects typically improve ...

Abstract: Nonlinear equations systems (NESs) are widely used in real-world problems and they are difficult to solve due to their nonlinearity and multiple roots. Evolutionary algorithms (EAs) are one ...

"This booklet provides a very lucid and versatile introduction to the methods of linear partial differential equations. It covers a wealth of very important material in a concise, nevertheless very ...

Abstract: Two asynchronous distributed algorithms are presented for solving a linear equation of the form Ax=b with at least one solution. The equation is simultaneously and asynchronously solved by m ...

Figure 1: A two-dimensional representation of a ten-dimensional hypercube. A RIKEN researcher has shown that quantum Ising models lack local conserved quantities even ...