Guide For Latex

Guide For Latex

Postby ib maths » Thu Jan 24, 2013 7:20 pm

IBmaths4u.com is the first forum introducing the addition of LaTeX mathematical typesetting for IB mathematics(HL,SL,studies).
LaTeX is a professional-grade general typesetting system that centers around very pleasing mathematical presentation. Mathematical expressions are written in a markup style somewhat similar to HTML.
You may include LaTeX graphics in any post here on IBmaths4u.com
To include a LaTeX graphic, simply include your LaTeX code within the tags [ tex][ /tex]. without spaces.
Or by using the rightmost button in editing bar as shown in the following image.
Image



Basic Guidelines
Lines and Text. \\ starts a new line, \ includes a space, \mbox{...} includes text

Sub- and Superscripts.
Code: Select all
 [tex]x^3[/tex]
produces while
Code: Select all
[tex]x_{2n}[/tex]
produces
Here is another example:
Code: Select all
[tex]\log_{5} 125=3[/tex]
gives


Fractions. Use \frac to display fractions.
Example:
Code: Select all
[tex]\frac{\pi^2}{6}[/tex]
gives .

Roots. Use \sqrt. For instance,
Code: Select all
[tex]\sqrt{a^3+b^4}[/tex]
produces

You can also get “other” roots:
Code: Select all
[tex]\sqrt[4]{5}[/tex]
yields .

Various examples
Code:
Code: Select all
[tex] \frac{1}{2^n} \rightarrow 0[/tex]


produces the graphic

Code:
Code: Select all
[tex]\int_a^b f(t) dt = 1[/tex]


produces the graphic


Code:
Code: Select all
[tex] \sum_{n=0}^{\infty} \frac{1}{n!} = e [/tex]


produces the graphic


Plus or minus

Code: Select all
[tex]\pm[/tex]


produces the graphic


multiplication or dot product

Code: Select all
[tex]a\cdot b[/tex]


produces the graphic



Equals sign and inequalities

To get an equals sign, you simply use the ordinary = sign.
Code: Select all
 [tex]2+3=5[/tex]


produces the graphic



For 'not equal to', use \not=

Code: Select all
[tex]2^4\not=2[/tex]

produces the graphic


For less than signs, we use <, and for greater than signs, we use >

For 'less than or equal to' signs, we use \leq, and for 'greater than or equal to' signs we use \geq

Code: Select all
[tex]x^2 \geq 0[/tex]

produces the graphic


For spaces, use "\ ".

Sigma notation

To write sums, we use the \sum command.

Code: Select all
[tex]\sum_{i=1}^n i^2 = \frac{1}{6}n(n+1)(2n+1) [/tex]

produces the graphic



Differentiation

We use \frac{}{} to write dy/dx.

Code: Select all
[tex]\frac{d}{dx} x^4 = 4x^3[/tex] 


produces the graphic



For f'(x), simply write it out normally within TeX tags.

Code: Select all
[tex]f'(x)[/tex]


produces the graphic



Integration

For the integral sign, use the \int command.

Code: Select all
[tex]\int 3x^2\ dx = x^3 + C[/tex] 

produces the graphic


For definite integrals, use the commands for subscripts and superscripts.

Code: Select all
[tex]\int^1_0 x\ dx =0.5[/tex]


produces the graphic


Modulus sign or absolute value

Use | for the modulus sign.

Code: Select all
[tex]\sqrt{x^2} = |x|[/tex]


produces the graphic


Factorial

Use the exclamation mark like normal.

Code: Select all
[tex]3! = 6[/tex]

produces the graphic


n choose r

Code: Select all
[tex]^n\mathrm{C}_r[/tex]

produces the graphic


Greek Letters

Write \x where x is the written form of the Greek letter (i.e. alpha, beta, gamma, ... , omega).

Code: Select all
[tex]\pi[/tex]

produces the graphic


Code: Select all
[tex]\theta[/tex]

produces the graphic


Infinity

To insert the infinity symbol, use \infty.

Code: Select all
[tex]\infty[/tex]

produces the graphic


Trigonometry

Code: Select all
[tex]\cos \theta[/tex]


produces the graphic


Code: Select all
[tex]\sin \theta[/tex]


produces the graphic



Code: Select all
[tex]\tan \theta[/tex]


produces the graphic


Code: Select all
[tex]\sec \theta[/tex]


produces the graphic



Code: Select all
[tex]\mathrm{cosec} \theta[/tex]


produces the graphic



Code: Select all
[tex]\csc \theta[/tex]

produces the graphic


Code: Select all
[tex]\cot \theta[/tex]

produces the graphic


Code: Select all
[tex]\sin^2 \theta + \cos^2 \theta=1[/tex]


produces the graphic




To write 'degrees', you could use the \circ command.

Code: Select all
[tex]\cos 60^{\circ} = \frac{1}{2}[/tex]


produces the graphic



Logarithms


Code: Select all
[tex]\ln x^5 = 5 \ln x[/tex]

produces the graphic


Code: Select all
[tex]\log_{10} x^2 = 2 \log_{10} x[/tex]

produces the graphic


Matrices

Code: Select all
[tex]\begin{pmatrix} -2 & 6 & 7 \\2 & -5 & 1 \\1 & 2 & 3 \end{pmatrix}[/tex]

produces the graphic


Determinants

Code: Select all
[tex]\begin{vmatrix} -2 & 6 & 7 \\2 & -5 & 1 \\1 & 2 & 3 \end{vmatrix}[/tex]

produces the graphic



vectors, simply write a matrix with only one column:

Code: Select all
[tex]\begin{pmatrix} x \\ y \\ z \end{pmatrix}[/tex]


produces the graphic


Code: Select all
[tex]\vec{a}[/tex] 

produces the graphic


Limits

Code: Select all
[tex]\displaystyle\lim_{x\to 0}[/tex]

produces the graphic



Sets

Code: Select all
[tex]\cup[/tex]

produces the graphic



Code: Select all
[tex]\cap[/tex]

produces the graphic



Code: Select all
[tex]\subset[/tex]

produces the graphic



Code: Select all
[tex]\subseteq[/tex]

produces the graphic



Code: Select all
[tex]\nsubseteq[/tex]

produces the graphic



Code: Select all
[tex]\in[/tex]

produces the graphic



Code: Select all
[tex]\not\in [/tex]

produces the graphic



Code: Select all
[tex]\mathbb{P}[/tex]

produces the graphic



Code: Select all
[tex]\mathbb{N}[/tex]

produces the graphic



Code: Select all
[tex]\mathbb{Z}[/tex]

produces the graphic



Code: Select all
[tex]\mathbb{I}[/tex]

produces the graphic



Code: Select all
[tex]\mathbb{Q}[/tex]

produces the graphic



Code: Select all
[tex]\mathbb{R}[/tex]

produces the graphic



Code: Select all
[tex]\mathbb{C}[/tex]

produces the graphic



Code: Select all
[tex]\forall[/tex] gives

produces the graphic


Logic Symbols

Code: Select all
[tex]\forall[/tex]

produces the graphic



Code: Select all
[tex]\land[/tex]

produces the graphic



Code: Select all
[tex]\lor[/tex] 

produces the graphic



Code: Select all
[tex]\exists[/tex] 

produces the graphic



Code: Select all
[tex]\neg[/tex]

produces the graphic



Code: Select all
[tex]\sim[/tex]

produces the graphic
ib maths
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