Difference between revisions of "Comments:LaTeX-code for the most common formulas"

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(added "getting started" examples)
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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.
 
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==
+
==Preview==
 
Check how they look in Java (http://www.geogebra.org/student/m33487?mobile=false) and HTML5 (http://www.geogebra.org/student/m33487?mobile=true)
 
Check how they look in Java (http://www.geogebra.org/student/m33487?mobile=false) and HTML5 (http://www.geogebra.org/student/m33487?mobile=true)
  

Revision as of 00:13, 25 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.

Preview

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

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