## The Definitive Higher Math Guide on Long Division and Its Variants — for Integers

In mathematics, long division is a powerful procedure through which division can be carried out with pencil and paper. As powerful as it is, it is generally taught at the pre-college level without much consideration on its underlying theory or its alternatives… In this guide though, we’ll take a look at both of those, and […]

## (Contributor Post) A Primer on Statistical Significance — Grade Comparison, Fertilizer Selection, Dice Rolling and Tire Lifespan Evaluation and More!

Statistical significance — in a nutshell — is a way of determining if an outcome occurred by random chance, or if there was something else that caused that outcome.

## Desmos Art: The Definitive Guide to Computational Sketching

If you’re of the type who enjoys playing around with graphing calculator, then you might be interested in the so-called Desmos Art. These are basically pictures and animations created in Desmos primarily through the clever use of equations and inequalities — among other features such as tables, animating sliders and regression models. Indeed, if you go to this official staff […]

## Desmos: A Definitive Guide (How to Perform Cool Computations and Creating Great Graphs Using Online Graphing Calculator)

Think you’re fond of of graphing and computing stuffs? Great! Because you might remember this thing called the Texas Instrument TI-83 from the old days. Sure, while programmable calculators in general are still pretty much popular these days, the graphing calculators from the 21st-century are also coming in waves as we speak — potentially disrupting the market of scientific computing and educational […]

## Infinite Limits and the Behaviors of Polynomials at the Infinities — A Theoretical Musing

Regardless of your early surrounding or schooling background, we know for one that there are two kinds of mathematical objects that are kind of hard to miss in life. The names? Polynomial and Infinity! While the former might have sounded a bit like the name of a snake, polynomials is a one-of-its-kind mathematical entity whose perfection defies our mathematical imagination. For […]

## Chain Rule for Derivative — Venturing Into The Dark Side Beneath Applied Calculus…

To the surprise of many math enthusiasts and the like, it seems that we have been pulling out on an incredible amount of calculus modules these days. Of course, if you have had any terrible experience in learning just the mechanics of calculus, this seemingly-relentless outpouring of materials could make you want to puke. However, if that header […]

## The Exponent Rule for Derivatives — Your One-Stop Shop to Staircase-Looking Functions

Like the featured image above? Good for you! As students (fanatics?) of mathematics and other technical sciences, we have an intuitive appreciation of the role this topic — calculus — plays out in our daily life. While obviously not a subject to be mastered overnight, what’s true is that our first exposure to it tends to be […]

## The Ultimate Guide to Logarithm — Theory & Applications

For the very vast majority of humans on earth, there is a topic found in the good old math textbooks that many of us still even dread contemplating about, as it seems to mess with our brain in a rather particular way.  The name? $\displaystyle \text{Logarithmus}$ — or Logarithm in English to be sure! As terrible-sounding as it […]