Abstract: In this article, we study system of Riccati equations using the operational matrix method. This system is important since it has several applications in different areas such as random ...

Bugs and scientists have long been oddball allies in the effort to understand decomposing bodies, but there's a catch. When a person or animal dies, insects can detect that death faster than humans ...

One of the fundamental operations in machine learning is computing the inverse of a square matrix. But not all matrices have an inverse. The most common way to check if a matrix has an inverse or not ...

The problem has vexed Boston leaders, public health officials and police for years: How best to address the interwoven issues of homelessness and public drug use that collide near the intersection of ...

Abstract: In this article, iterative algorithms are investigated to solve the Riccati algebraic matrix equations arising in the context of linear quadratic (LQ) optimal control of discrete-time Markov ...

Dr. James McCaffrey from Microsoft Research presents a complete end-to-end demonstration of computing a matrix inverse using the Newton iteration algorithm. Compared to other algorithms, Newton ...

Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

At crime scenes around the world, the forensic entomologist Paola Magni is taking her field into uncharted waters By Jordan Michael Smith Photographs by Guido Gazzilli and Claire Martin Paola Magni in ...

A recent study found that people may perceive fewer negative effects of alcohol if they are also using cannabis at the same time. Many young adults drink alcohol and use cannabis together, at the same ...