Abstract: In many branches of engineering, Banach contraction mapping theorem is employed to establish the convergence of certain deterministic algorithms. Randomized versions of these algorithms have ...

Most companies want to scale efficiently, but few truly understand the mechanics of how work gets done. That’s where business process mapping comes in. Business process mapping visually outlines how ...

In 1994, an earthquake of a proof shook up the mathematical world. The mathematician Andrew Wiles had finally settled Fermat’s Last Theorem, a central problem in number theory that had remained open ...

At the beginning of 2025, the U.S. economy faltered, experiencing its first contraction in three years. Faster-than-expected price increases and a dramatic increase in imports caused GDP to fall into ...

Time under contraction is not directly measured in a typical weight training program. Most people really don't even think about the number of seconds a given muscle is forced to work. Indirectly, ...

Two New Orleans students who solved the Pythagorean theorem using trigonometry have had their discovery confirmed by the math community after their findings were published in the American Mathematical ...

Theorems of iteration g-contractive sequential composite mapping and periodic mapping in Banach or probabilistic Bannach space are proved, which allow some contraction ratios of the sequence of ...