Difference between revisions of "Comments:LaTeX-code for the most common formulas"
From GeoGebra Manual
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! Usage !! LaTex Input !! LaTex Output | ! Usage !! LaTex Input !! LaTex Output | ||
|- | |- | ||
+ | | Square-root symbol | ||
+ | | \sqrt{x} | ||
+ | | <math>\sqrt{x}</math> | ||
+ | |- | ||
+ | | Fractions | ||
+ | | \frac{a}{b+c} | ||
+ | | <math>\frac{a}{b+c}</math> | ||
+ | |- | ||
+ | | \left( and \right) for large brackets | ||
+ | | \left( \frac{a}{b} \right) ^{2} | ||
+ | | <math>\left( \frac{a}{b} \right) ^{2}</math> | ||
+ | |- | ||
+ | | Use \textcolor for color | ||
+ | | x^{\textcolor{#FF00FF}{2}} | ||
+ | | | ||
+ | |- | ||
+ | | Use \cr for a line break | ||
+ | | x=3 \cr y=2 | ||
+ | | <math>\begin{array} x x=3 \\ y=2 \end{array}</math> | ||
+ | |- | ||
+ | | Use \text{ } to mix text and expressions | ||
+ | | \text{The quadratic formula is }x = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a} | ||
+ | | <math>\text{The quadratic formula is }x = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a}</math> | ||
+ | |- | ||
| Slope for a straight line | | Slope for a straight line | ||
| m=\frac{y_2-y_1}{x_2-x_1} | | m=\frac{y_2-y_1}{x_2-x_1} |
Revision as of 23:48, 24 March 2013
If you have somewhere a very long formula, please share it with us. This will save time for everybody! Just edit this page and paste you code at inside the input-box, if you don't know how to use the wiki-code correctly.
How to use the formulas
Just copy the text from the column LaTex Input into your text-object input-box. If the formula should be dynamic you need to insert the object instead of the variables that are used here.
Preivew
Check how they look in Java (http://www.geogebra.org/student/m33487?mobile=false) and HTML5 (http://www.geogebra.org/student/m33487?mobile=true)
Useful Formulas
Usage | LaTex Input | LaTex Output |
---|---|---|
Square-root symbol | \sqrt{x} | \sqrt{x} |
Fractions | \frac{a}{b+c} | \frac{a}{b+c} |
\left( and \right) for large brackets | \left( \frac{a}{b} \right) ^{2} | \left( \frac{a}{b} \right) ^{2} |
Use \textcolor for color | x^{\textcolor{#FF00FF}{2}} | |
Use \cr for a line break | x=3 \cr y=2 | \begin{array} x x=3 \\ y=2 \end{array} |
Use \text{ } to mix text and expressions | \text{The quadratic formula is }x = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a} | \text{The quadratic formula is }x = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a} |
Slope for a straight line | m=\frac{y_2-y_1}{x_2-x_1} | m=\frac{y_2-y_1}{x_2-x_1} |
Slope for a straight line (2) | m= \frac{Δy}{Δx}=\frac{y_A-y_B}{x_A-x_B} | m= \frac{Δy}{Δx}=\frac{y_A-y_B}{x_A-x_B} |
Compound Interest | Amount = Principal \cdot \left( 1 + \frac {rate}{periods} \right) ^ {time\; \cdot\; periods} | Amount = Principal \cdot \left( 1 + \frac {rate}{periods} \right) ^ {time\; \cdot\; periods} |
Quadratic Equation | a x^2\; +\; b x\; +\; c\; =\; 0 | a x^2\; +\; b x\; +\; c\; =\; 0 |
Simplified Quadratic Equation | x^2\; +\; p x\; +\; q\; =\; 0 | x^2\; +\; p x\; +\; q\; =\; 0 |
Vertex Form | f(x)\; =\; a(x\; -\; h)^2\; +\; k | f(x)\; =\; a(x\; -\; h)^2\; +\; k |
Factored Form | f(x)\; =\; (x\; +\; a)\;(x\; +\; b) | f(x)\; =\; (x\; +\; a)\;(x\; +\; b) |
Quadratic Formula | x\; =\; \frac {-b\; \pm\; \sqrt {b^2\; -\; 4ac}}{2a} | x\; =\; \frac {-b\; \pm\; \sqrt {b^2\; -\; 4ac}}{2a} |
Quadratic Formula | x_{1/2}\; =\; \frac {-b\; \pm\; \sqrt {b^2\; -\; 4ac}}{2a} | x_{1/2}\; =\; \frac {-b\; \pm\; \sqrt {b^2\; -\; 4ac}}{2a} |
Quadratic Formula for Simplified Quadratic Equation | x_{1/2}\; =\; - \frac{p}{2}{\; \pm\; \sqrt {\left( \frac{p}{2} \right)^2\; -\; q}} | x_{1/2}\; =\; - \frac{p}{2}{\; \pm\; \sqrt {\left( \frac{p}{2} \right)^2\; -\; q}} |
Quadratic Formula for Simplified Quadratic Equation | x_{1/2}\; =\; - \frac{p}{2}{\; \pm\; \sqrt {\left( \frac{p}{2} \right)^2\; -\; q}} | x_{1/2}\; =\; - \frac{p}{2}{\; \pm\; \sqrt { \frac{p^2}{4} \; -\; q}} |
Cubic Equation | a x^3\; +\; b x^2\; +\; c x\; +\; d\; =\; 0 | a x^3\; +\; b x^2\; +\; c x\; +\; d\; =\; 0 |
Basic Trigonometry Forms | \sin A = \frac {opp}{hyp} = \frac {a}{c} = (a/c) | \sin A = \frac {opp}{hyp} = \frac {a}{c} = (a/c) |
f(x)\; =\; a\; \sin\; b\;(x\; -\; h)\; +\; k | f(x)\; =\; a\; \sin\; b\;(x\; -\; h)\; +\; k | |
f(x)\; =\; a\; sin\; (B x + C) + k | f(x)\; =\; a\; \sin\; (B x + C) + k | |
b\;(x\; -\; h)\; = B\; \left( x\; -\; \frac {-C}{B} \right) | b\;(x\; -\; h)\; = B\; \left( x\; -\; \frac {-C}{B} \right) | |
h\; = \frac {-C}{B} | h\; = \frac {-C}{B} | |
Limit (corrected to work in HTML5 as well as Java) | \lim_{x \to \infty} \left( \frac{1}{x} \right) | \lim_{x \to \infty} \left( \frac{1}{x} \right) |
es:Código_LaTeX_para_las_fórmulas_más_comunes it:Sintassi LaTeX per le formule di uso più comune