Abstract: This paper discusses a method of analyzing complex one-dimensional multilayer waveguides in a numerically stable way. When a multilayer waveguide contains a quite thick layer or a layer ...

Julia Kagan is a financial/consumer journalist and former senior editor, personal finance, of Investopedia. Charlene Rhinehart is a CPA , CFE, chair of an Illinois CPA Society committee, and has a ...

Cybercriminals have a new, user-friendly tool for turning your browser alerts into a vector for phishing attacks. "Matrix Push" is slick, it's pretty, and it's about as easy to use as any commercial ...

Scientists have used genetically engineered bacteria to simultaneously create and color fabrics in a one-pot method. Compared with current methods that rely on fossil fuels, the new technique offers a ...

You'll be more productive if you can see what you need to do, and when you need to do it. Lindsey Ellefson is Lifehacker’s Features Editor. She currently covers study and productivity hacks, as well ...

A mathematician at Carnegie Mellon University has developed an easier way to solve quadratic equations. The mathematician hopes this method will help students avoid memorizing obtuse formulas. His ...

Take advantage of the MethodImplAttribute class in C# to inline methods and improve the execution speed of your .NET applications. The Just-In-Time (JIT) compiler is a component of the Common Language ...

Dozens of machine learning algorithms require computing the inverse of a matrix. Computing a matrix inverse is conceptually easy, but implementation is one of the most challenging tasks in numerical ...

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 ...

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 ...