This page is deliberately kept as a draft in order to test the rendering of Latex content.
Equations
The equation
$ax^2 + bx + c = 0$
$a \ne 0$, or $a \ne 0$:
$$x = {-b \pm \sqrt{b^2-4ac} \over 2a}$$Text formatting
- Text Color - with orange
, lightgreen , plum - all named colors - Font-size (large, huge, small, tiny) -
, , , , , , , , , - Font in fractions - In a regular polygon,
Syntax: $\displaystyle\frac{180*(n-2)}{n}$ - Spacing inside text
% Text Color
orange $\color{orange} ax + by = c$, lightgreen $\color{lightgreen} ax + by = c$
% Font-size (large, huge, small, tiny)
$abc$, $\large abc$, $\Large abc$, $\LARGE abc$, $\huge abc$, $\Huge abc$, $\small abc$
$\frac a b$, $\large \frac a b$, $\huge \frac a b$
% Font in fractions
$\displaystyle\frac{180*(n-2)}{n}$ Syntax: `$\displaystyle\frac{180*(n-2)}{n}$`
% Spacing inside text
$a + b ~~~~~~~~=~~~~~~~~ 21$Probability
Given n objects taken r at a time, number of permutations =
$_nP_r = P(n,r) = \large \frac{n!}{(n-r)!}$Logarithms
means that . $log_b(x) = y$means that$b^y = x$.= y and = means that - when changes to , log(N) ==> log(N+1)
$log_b(x) = y$ means that $b^y = x$. `$log_b(x) = y$` means that `$b^y = x$`.
$log(N)$ = y and $2^{y+1}$ = $2^y * 2$ -> $2^{y}$ changes to $2^{y+1}$, log(N) ==> log(N+1)Miscellaneous
- Square root, Exponents - example of Not polynomials -
, , - Element of, Union, Open/closed parentheses - if intervals overlap,
x > 3 OR x <= 5==> => - Line segments - Above the text arrow
and a line segment
$\sqrt x$, $x ^ {-2}$, $m ^ {-1/2}$
$x \in (3, \infty) \cup (- \infty, 5]$ => $x \in (-\infty, \infty)$ => $-\infty < x < \infty$
$\overrightarrow {AB}$ and a line segment $\overline {AB}$
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