Minimum distance from a point to a line

The minimum distance from a point to a line can be thought of as a line. What I mean by that is, if we draw a line named $Bobbi$ and he must have the shortest possible height, then lil Bobbi’s feet must be perpendicular to the line. You could, of course, calculate this by noticing […]

The Sieve of Eratosthenes

That is a sieve. I usually use sieves to sift my cake flour. Sifting cake flour means the bulky stuff is forced through these small holes. Thus, the flour ends up fine; finer and softer than sand. Why must I sift my cake flour? So the finished cake is light as a feather and soft […]

Telescoping

A telescoping sum is a sum that is calculated when immediate terms cancel out. For terms like $\frac{1}{n(n + k)}$, it equals $\frac{1}{k}(\frac{1}{n} – \frac{1}{n + 1})$. A special case, 1, must be noted. Everything simplifies to $\frac{1}{n} – \frac{1}{n – 1}$ There are also other telescoping formulas, like General Linear Denominator and Radical Telescoping […]

Distance Preserving Proprety of Rotation

Rotation is a transformation in metric spaces. Though the positions of points and lines will change, their lengths and angles will not. A rotation is a type of isometry that moves all points according to a fixed point known as the rotocenter.

Reducution Efficiency

When you see a large fraction, always reduce with the largest factor first. For example, What is the value of this expression in decimal form? Obviously, this is divisible by 2, but we can do better than that. Did you notice that all of them are divisible by 11? If we reduced by 2, we […]

The Chicken & Rabbit Problem

The Chicken & Rabbit problem is a great math and logic question. Here is the question: There are some chickens and rabbits. The number of total legs is {number} and the total number of eyes is {number}. How many chickens/rabbits are there? There are also many different ways to express this: There are some {first […]