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 […]
Tag: Pre-Contest Review
Important Cube Exponent Equations
If $a^2=4$, then $a=\pm 2$ ALWAYS READ THE QUESTION FOR EXAMPLE: Remember to bring a ruler and an eraser and a brand-new mechanical PENCIL!!! pls don’t forget the RULER
XOR
XOR, also known as Exclusive OR, is a logical operation often used in programming. It is referred to $\oplus$, but in programming, for simplicity, it is referred to as $^$. There are many special propreties about XOR: The order in which you calculate XOR operations does not matter, for example, $2^3^1^4$ can also be calculated […]
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 […]
