If you’ve dealt with reactance, you surely know the two equations for computing inductive and capacitive reactance. But unless you’ve really dug into it, you may only know the formula the way a school ...

Consider a problem of finding distance travelled when initial and final velocities are given, along with time. (Acceleration is uniform, i.e. constant.) Most text book students and teachers will ...

calculus to organize the relationships between 'position,' 'velocity,' and 'acceleration' in one-dimensional motion. This time, we will finally move on to motion under gravity. 'Why can we assume that ...

Over winter break I wrote this little math explainer article for fun; it talks about how we derive the formulas for permutations and combinations, both tools that are fundamental for statistics: https ...

1️⃣ Define a Metric Space: Represent data as points in a complete metric space with a well-defined distance function. 2️⃣ Identify a Contraction Mapping: Explore potential mappings that satisfy the ...

This manuscript originates from the historical development of the sums of powers problem, briefly tracing its evolution from Archimedes (287-212 BC) to Donald Knuth's work Johann Faulhaber and sums of ...