Stone Studio

Almost 100 years ago, Frank Morley proved a curious theorem from elementary geometry that unbelievably remained unknown until 1899. With time, the theorem became known in mathematical folklore as Morley’s Miracle (Morley’s Trisector Theorem is a more mundane term.) The theorem states that The three points of intersection of the adjacent trisectors of the angles [...]

Linear programming is often a favorite topic for both professors and students. The ability to introduce LP using a graphical approach, the relative ease of the solution method, the widespread availability of LP software packages, and the wide range of applications make LP accessible even to students with relatively weak mathematical backgrounds. Additionally, LP provides [...]

In a group of at least 23 randomly chosen people, there is more than 50% probability that some pair of them will have the same birthday. Such a result is counter-intuitive to many. In probability theory, thi is known as the birthday problem, or birthday paradox. Here is how we calculate this. Solving the Birthday [...]

When doing math or numerical analysis, the knowledge of the technique is far too often tied to the tool performing the calculation.  Consider an engineer whose understanding of the Fast Fourier transformation is inseparably tied to the fft function in Matlab.  Of course this hypothetical engineer understands what the results mean (more or less) but [...]