Convert Numbers Between Numeral Systems Using Logarithms What one would do to find the representation of a number written in one base to some another would probably be to take a look at the…
Proving the Mean Value Theorem Let’s prove one of the most important theorems in elementary analysis! The only requirement is an elementary understanding of derivatives.
The Curious Case of the Inverted Pendulum Everyone who has studied basic physics, mechanics, dynamics or control system have encountered the inverted pendulum.
The Duties of John von Neumann’s Assistant in the 1930s The year is 1933. A 26 year-old former graduate student at Columbia University, Edgar R. Lorch (1907–1990) has just completed his Ph.D. in mathematics and is, in his own words “by some miracle” awarded a National Research Council Fellowship for a year of postdoctoral studies at Harvard University.
What is Probability For? To start with an analogy, what is money? Textbooks and Wikipedia say that money is a medium of exchange, and a store of value, and a unit…