Tag: math
-
LIFE: Concept for Book Series
This is a concept outline for a book series that’s been floating around in my head in many different forms. This rough draft of my intentions is finally being committed to paper, and blog. I’d like to start sharing my ideas for the world, with the world, in hopes that I’ll get feedback or at…
-
The Fibonacci Sequence and Golden Ratio
I just spent the last 3 hours figuring out why this is cool. I’ve never considered spirals so intensely in my entire life. You should have been there; it was spectacular, especially when my head exploded. By the way, I was doing these derivations and proofs on paper at 2AM so it could all be…
-
Formal Definition of Random Variable
Let (Ω, ℱ, P) be a probability space, and (E, ℰ) a measurable space. Then an (E, ℰ)-valued random variable is a function X: Ω→E, which is (ℱ, ℰ)-measurable. That is, such function that for every subset B ∈ ℰ, its preimage lies in ℱ: X −1(B) ∈ ℱ, where X −1(B) = {ω: X(ω) ∈ B}. (Wikipedia: Random Variable: Formal Definition) Thought I’d share one the few things that brought a…