I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips.

👉 Learn how to find the value that makes a function continuous. When given a piecewise function which has a hole at some ...

Department of Urology, Affiliated Tumor Hospital of Harbin Medical University, Heilongjiang, China Objective: The importance and value of continuous care for patients after ileal cystostomy is ...

Work sponsored in part by the U.S. Office of Naval Research. The author is a fellow of the Conselho Nacional de Pesquisas of Brazil on leave from the Centro Brasileiro de Pesquisas Fisicas. Join the ...

Advances in cancer treatment have led to a significant increase in the global number of cancer survivors. However, long-term health management challenges—such as reduced cardiopulmonary function, ...

Abstract: Toeplitz matrices and functions of Toeplitz matrices (such as the inverse of a Toeplitz matrix, powers of a Toeplitz matrix or the exponential of a Toeplitz matrix) arise in many different ...

The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...

In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.