Calculus
Two Myths of Numerical Integration, Debunked
Many programmers believe that the use of higher order integration algorithms, combined with a large number of integration interval…
Computability
Pi
Calculating the Value of Pi: A Monte Carlo Simulation
We interact with the number π (‘pi’) everyday. Due to its fundamental involvement with circles, π has found applications in virtually every industry, ranging from sports to designing power lines and everything in between. It would, then, seem absurd that a number that is seemingly so specific and universal can
Mathematics
A Computability Proof of Gödel’s First Incompleteness Theorem
A computability proof of Gödel’s incompleteness theorem equally as strong as Gödel’s version, but much easier to deduce