LaTex reference

You,Tue Apr 11 2023•LaTex

Open Source editor, VSCode, supports mathematical typesetting with LaTeX in Markdown documents. Equations are rendered in the Live Preview Pane, enabled with Ctrl + K V. No other libraries, extensions or apps need to be installed. Rendering in Live Preview is performed by KaTeX , a fast, easy-to-use JavaScript library for TeXTEX math rendering on the web.

Inline LaTeX mathematical notation is wrapped in single-dollar signs. For example, for the square of $ x $, just type $ x^2 $ , which is then formatted as $x^2$. The spaces after/before dollar sign are not needed, but offer some clarity in reading.

The above example showed how a formula may be used inline.

for example:

$ax^2 + bx + c = 0$
You could also write : $ax ^2 + bx + c = 0$
This one: $ax^2 + bx + c = 0$ - asterix is not needed !
use slash pi to indicate greek letter pi i.e. \pi
fractions are written with a slash frac i.e. \frac
subscripts are written with underscore $x_i$ $x_i^n$
$\pi$ is almost equal to $\frac{22}{7}$
Integrals are written with slash int , i.e. \int
$F(x) = \int f(x)dx\$
Summations are written with a \displaystyle\sum
$\displaystyle\sum_{i=1}^n n= 1 + 2 + 3 + ... n =\frac{n(n+1)}{2}$

To put formla/formuale in a separate paragraph, use a separate code block, as follows:

$ \displaystyle\sum_{k=3}^5 k^2=3^2 + 4^2 + 5^2 =50 $

A: To write multiple formulae in one block; they must be terminated by \\, for example:

$ f(x) = x^2\ f(z) = z^2\ f'(x) = 2x\ F(x) = \int f(x)dx\ F(x) = \frac{1}{3}x^3 $

B: When formulae are grouped togather using a block; they are are aligned and also automatically numbered. $ \begin{align} f(x) = x^2\ f(z) = z^2\ f'(x) = 2x\ F(x) = \int f(x)dx\ F(x) = \frac{1}{3}x^3 \end{align} $

C: Using &= instead of = aligns formuale nicely along the $=$ symbol.

$ \begin{align} f(x) &= x^2\ f(z) &= z^2\ f'(x) &= 2x\ F(x) &= \int f(x)dx\ F(x) &= \frac{1}{3}x^3 \end{align} $

Fractions

Using normal slash , i.e. /: $sin (\pi/4) = 1/ \sqrt 2$

Using \frac notation: $sin (\frac{\pi}{4}) = \frac {1}{\sqrt 2}$

Another example: $\frac{1}{\sqrt{sin(x)}} $ Another example: $\frac{1}{sin(\sqrt{x})} $

sin cos tan inverse and square

$sin(x)$ $cos(\theta)$

$sin^2 \theta + cos^2 \theta = 1 $

$sin^2 {\theta} + cos^2 {\theta} = 1 $

$sin^2 (\theta) + cos^2 (\theta) = 1 $

Wrong ways of writing sin inverse x:

$sin^-1(x) = 0 $

$sin^(-1)(x) = 0 $

The right way, using curlies: $sin^{-1}(x) = 0 $

Fractions:

Notice nice alignment of numerator and denominator

$ sin(x) = \frac {1}{\alpha} + \frac {1}{\sqrt{1+ \frac{1}{\beta^2}}} $

Another example: $k = \frac{1}{sin^2(\sqrt{x})} $

Differenciation

$ y = cos(x)\ \ \frac {dy}{dx} = sin(x)\ y = x^n\ \frac {dy}{dx} = nx^{n-1} $

Integral

$ F(x) = \int^a_b \frac{1}{3}x^3 $

Magu tries here

this be a list

hey
How
- are
- you

this be a tabil

Name	Whether Magu	Animal	Magic Nr
Roopa	Magu	Teddy bear	12
Varu	Magu	Tiger	9840348595
Daddy	Bigs	rhinoceros	7
Jojo	Magu	puppy	12

Magu has magic formula !

$ ax ^ 2 + bx + c = 0 $

$ x = \frac {-b \pm \sqrt {b^2 - 4ac}} {2a} $

$ a= 1/3 $

$ a= \frac 1 3 $

$b= sin(x)$

$c= \frac 1 {sin(x)} $

$ \begin{align} sin^2\theta + cos^2\theta &= 1\ (a+b)^2 &= a^2 + 2ab+ b^2 \end{align} $

$ F(x)=\int^2_3 \frac {1} {\sqrt{1+x^2}} $

$ \begin{align} f(x) &= 2x^2 +3x +14 \ f'(x) &= 4x +3 \ \frac {\partial^2 {x}}{\partial {y^2}}\ \end{align} $

$ \frac {\partial^2 {x}}{\partial {y^2}} $

Greek lettersu

$ \alpha \Alpha \beta \Beta \gamma \delta \epsilon \phi \lambda \psi \mu \nu \omicron \pi \zeta \eta \iota \kappa \rho \sigma \tau \upsilon \chi \omega $

Jojo be the boss

lists
list item
- indented
- etc

name	pet	MF	number
Jojo	turtle	M	234
Varu	cat	F	992372-01283
roop	dog	F	3
dada	max	M	233

formulas

$ ax^2 + bx + c = 0 $

$ a = 1/4 $

$ a = \frac {1}{4} $

$ b = sin \theta $

$ \Delta = rt -s^2 $

$ x = -b \pm \frac {\sqrt{b^2-4ac}}{2a} $

$ F(x) = \int \frac{dx}{\sqrt{1+x^2}} = tan^{-1}(x) + c $

$ F(x) = \int x^n dx = \frac {x^{n+1}}{n+1} + c $

A block
$ \begin{align} F(x) = \int \frac{dx}{\sqrt{1+x^2}} &= tan^{-1}(x) + c \ F(x) = karthik * \int x^n dx &= \frac {x^{n+1}}{n+1} + c \end{align} $