Blog (mostly math)

Duke Data Analysis-1 Intro Probability

Ref: Coursera - Duke Courses. Link to Coursera - Duke Courses: Link. Link to Coursera - Duke Data Analysis Course: Link. ROUGH NOTES (!) Updated: 11/4/26 INTRODUCTION TO PROBABILITY AND DATA WITH R [Introduction to Statistics with R] How does a doctor decide that a new drug is more effective than an existing drug? How does Google use se... Read more

Udacity Programming for DS-1 Intro SQL

Programming for Data Science Updated: 10/4/26 Link to Udacity subscription: Link. Link to Udacity course: Link. We will learn programming skills needed to uncover patterns and insights in large data sets. \[{ \underline{\textbf{Introduction to SQL}} }\] [Welcome to Programming for DS] Why do you need programming for analysis? Broadly spe... Read more

Udacity Intro Programming-4 Intro Javascript

Introduction to Programming Updated: 8/4/26 Link to Udacity subscription: Link. Link to Udacity course: Link. All rights of the (often wonderful) images found in these notes go to Udacity unless explicitly noted. We will learn the foundations of four of the most popular languages: HTML, CSS, Javascript, and Python. \[{ \underline{\textbf{I... Read more

Udacity Intro Programming-3 Intro Python-2

Introduction to Programming Updated: 8/4/26 Link to Udacity subscription: Link. Link to Udacity course: Link. All rights of the (often wonderful) images found in these notes go to Udacity unless explicitly noted. We will learn the foundations of four of the most popular languages: HTML, CSS, Javascript, and Python. \[{ \underline{\textbf{I... Read more

Exponentiation ${ x ^a }$

[Link to Stackexchange post: Link] Ref: “A Course of Pure Mathematics” by Hardy. [Product to Sum] Note that computing sums is easier than computing products. Can we have a nice bijective function ${ f : (0, \infty) \to \mathbb{R} }$ such that equations “${ x y = z }$” in ${ (0, \infty) }$ give equations “${ f(x) + f(y) = f(z) }$” in ${ \... Read more