SATmath4u.comis the first forum introducing the addition of LaTeX mathematical typesetting for SAT math test.

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 onSATmath4u.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 and then use the math symbols bellow the post area as shown in the following image.

Basic Guidelines

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

Sub- and Superscripts.produces whileCode:[tex]x^3[ /tex]producesCode:[tex]x_{2n}[ /tex]

Here is another example:givesCode:[tex]\log_{5} 125=3[ /tex]

Fractions. Use \frac to display fractions.

Example:gives .Code:[tex]\frac{\pi^2}{6}[ /tex]

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

You can also get “other” roots:

yields .Code:[tex]\sqrt[4]{5}[ /tex]

Various examples

Code:

produces the graphicCode:[tex] \frac{1}{2^n} \rightarrow 0[ /tex]

Code:

produces the graphicCode:[tex]\int_a^b f(t) dt = 1[ /tex]

Code:

produces the graphicCode:[tex] \sum_{n=0}^{\infty} \frac{1}{n!} = e [ /tex]

Plus or minus

produces the graphicCode:[tex]\pm[ /tex]

multiplication or dot product

produces the graphicCode:[tex]a\cdot b[ /tex]

Equals sign and inequalities

To get an equals sign, you simply use the ordinary = sign.

produces the graphicCode:[tex]2+3=5[ /tex]

For 'not equal to', use \not=

produces the graphicCode:[tex]2^4\not=2[ /tex]

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

produces the graphicCode:[tex]x^2 \geq 0[ /tex]

For spaces, use "\ ".

Sigma notation

To write sums, we use the \sum command.

produces the graphicCode:[tex]\sum_{i=1}^n i^2 = \frac{1}{6}n(n+1)(2n+1) [ /tex]

Differentiation

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

produces the graphicCode:[tex]\frac{d}{dx} x^4 = 4x^3[ /tex]

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

produces the graphicCode:[tex]f'(x)[ /tex]

Integration

For the integral sign, use the \int command.

produces the graphicCode:[tex]\int 3x^2\ dx = x^3 + C[ /tex]

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

produces the graphicCode:[tex]\int^1_0 x\ dx =0.5[ /tex]

Modulus sign or absolute value

Use | for the modulus sign.

produces the graphicCode:[tex]\sqrt{x^2} = |x|[ /tex]

Factorial

Use the exclamation mark like normal.

produces the graphicCode:[tex]3! = 6[ /tex]

n choose r

produces the graphicCode:[tex]^n\mathrm{C}_r[ /tex]

Greek Letters

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

produces the graphicCode:[tex]\pi[ /tex]

produces the graphicCode:[tex]\theta[ /tex]

Infinity

To insert the infinity symbol, use \infty.

produces the graphicCode:[tex]\infty[ /tex]

Trigonometry

produces the graphicCode:[tex]\cos \theta[ /tex]

produces the graphicCode:[tex]\sin \theta[ /tex]

produces the graphicCode:[tex]\tan \theta[ /tex]

produces the graphicCode:[tex]\sec \theta[ /tex]

produces the graphicCode:[tex]\mathrm{cosec} \theta[ /tex]

produces the graphicCode:[tex]\csc \theta[ /tex]

produces the graphicCode:[tex]\cot \theta[ /tex]

produces the graphicCode:[tex]\sin^2 \theta + \cos^2 \theta=1[ /tex]

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

produces the graphicCode:[tex]\cos 60^{\circ} = \frac{1}{2}[ /tex]

Logarithms

produces the graphicCode:[tex]\ln x^5 = 5 \ln x[ /tex]

produces the graphicCode:[tex]\log_{10} x^2 = 2 \log_{10} x[ /tex]

Matrices

produces the graphicCode:[tex]\begin{pmatrix} -2 & 6 & 7 \\2 & -5 & 1 \\1 & 2 & 3 \end{pmatrix}[ /tex]

Determinants

produces the graphicCode:[tex]\begin{vmatrix} -2 & 6 & 7 \\2 & -5 & 1 \\1 & 2 & 3 \end{vmatrix}[ /tex]

vectors, simply write a matrix with only one column:

produces the graphicCode:[tex]\begin{pmatrix} x \\ y \\ z \end{pmatrix}[ /tex]

produces the graphicCode:[tex]\vec{a}[ /tex]

Limits

produces the graphicCode:[tex]\displaystyle\lim_{x\to 0}[ /tex]

Sets

produces the graphicCode:[tex]\cup[ /tex]

produces the graphicCode:[tex]\cap[ /tex]

produces the graphicCode:[tex]\subset[ /tex]

produces the graphicCode:[tex]\subseteq[ /tex]

produces the graphicCode:[tex]\nsubseteq[ /tex]

produces the graphicCode:[tex]\in[ /tex]

produces the graphicCode:[tex]\not\in [ /tex]

produces the graphicCode:[tex]\mathbb{P}[ /tex]

produces the graphicCode:[tex]\mathbb{N}[ /tex]

produces the graphicCode:[tex]\mathbb{Z}[ /tex]

produces the graphicCode:[tex]\mathbb{I}[ /tex]

produces the graphicCode:[tex]\mathbb{Q}[ /tex]

produces the graphicCode:[tex]\mathbb{R}[ /tex]

produces the graphicCode:[tex]\mathbb{C}[ /tex]

produces the graphicCode:gives

Logic Symbols

produces the graphicCode:[tex]\forall[ /tex]

produces the graphicCode:[tex]\land[ /tex]

produces the graphicCode:[tex]\lor[ /tex]

produces the graphicCode:[tex]\exists[ /tex]

produces the graphicCode:[tex]\neg[ /tex]

produces the graphicCode:[tex]\sim[ /tex]

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