Latex Guide - Read carefully before start posting!!

Discussions for the Core part of the syllabus. Algebra, Functions and equations, Circular functions and trigonometry, Vectors, Statistics and probability, Calculus. IB Maths HL Revision Notes

Latex Guide - Read carefully before start posting!!

Postby ib maths » Thu Jan 24, 2013 7:25 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(x) dx = 2 [/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

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[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
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