Thousands of fireflies in the eastern US and Southeast Asia exhibit breathtaking synchronized flashing, a phenomenon now ...

Why do some melodies feel instantly right, balanced, memorable and satisfying, even if you have never heard them before? New research from the University of Waterloo suggests that more than creativity ...

Discover how Hyperbolic Absolute Risk Aversion models risk tolerance, influences investment choices, and simplifies financial ...

The FIND function allows you to find a text string within another. It returns the position at which a character or string begins within another text string. The output of the above function will be 5, ...

A function is a relation such that for each \(x\)-value there is only one corresponding \(y\)-value. In other words, a function cannot contain two different ordered pairs with the same first ...

When presenting expressions, we saw examples of common arithmetic operations: addition, subtraction, multiplication, and division. Here we will present two additional operations which are closely ...

A mathematician at UNSW Sydney has introduced a groundbreaking new approach to one of algebra’s oldest unsolved problems. A mathematician has developed an algebraic solution to an equation that was ...

ABSTRACT: The unit circle is the universal basis for the trigonometric functions on the two-dimensional plane. It is applied to analyze the paradoxical internal structure of a universal state, the 1-D ...

In this effort, we present a new definition of the Steiner symmetrization by using special analytic functions in a complex domain (the open unit disk) with respect to the origin. This definition will ...