Warren Buffett advised that you should never invest in a business you can't understand. But that hasn't stopped many ...

A method for computing the index, or winding number, is developed and applied to the problem of finding zeros of functions from the plane into the plane.

👉 Learn how to write the equation of a polynomial when given imaginary zeros. Recall that a polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and ...

Like physics, math has its own set of “fundamental particles”—the prime numbers, which can’t be broken down into smaller natural numbers. They can only be divided by themselves and 1. And in a new ...

If you often work with data that starts life as a text file or CSV, Microsoft Excel now has new built-in tools that simplify how that information gets pulled into a spreadsheet. The update introduces ...

A century ago, the strange behavior of atoms and elementary particles led physicists to formulate a new theory of nature. That theory, quantum mechanics, found immediate success, proving its worth ...

A new suggestion that complexity increases over time, not just in living organisms but in the nonliving world, promises to rewrite notions of time and evolution. In 1950 the Italian physicist Enrico ...

To a nonmathematician, having the letter “i” represent a number that does not quite exist and is “imaginary” can be hard to wrap your head around. If you open your mind to this way of thinking, ...

ABSTRACT: Properties of the gamma function are examined with implications for the Riemann hypothesis. Some new relations are obtained for the roots of the Zeta function using the properties of the ...

Enterprises are bullish on agentic applications that can understand user instructions and intent to perform different tasks in digital environments. It’s the next wave in the age of generative AI, but ...