What you will read below is a brief exercise I completed in 2017 to resolve a point of curiosity in my mind. As I recall, at the time I had just begun working on a side project: building a geometric model of stock price progressions to use as a base for discrete-probability option pricing. While…
Category: Mathematics – Number Theory
The Number of Q-Length Factorisations A Natural Number Has
In this blog post, I present the outcome of a larger exercise I completed in 2017. This exercise was meant to answer a question that had arisen in an even bigger personal project. Though I ultimately changed direction in the bigger project, I still have an answer to the question that brought me here: in how many ways can I write a number as the product of a given number of its divisors?
The Number of Digits a Product of Two Numbers Will Have
In this very brief blog post, I present the outcome of an exercise I undertook earlier, to find the rule that determines how many digits the product of two numbers will have, in any number system.
How to Tell If a Fraction’s Decimal Expansion Terminates, in Any Number System
In this brief blog post, I provide the conditions under which the decimal expansion of a fraction – in any number system – will and will not terminate.