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

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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)
 
==Useful Formulas==
 
==Useful Formulas==
 +
<small>
 
{| class="pretty"
 
{| class="pretty"
 
! Usage !! LaTex Input !! LaTex Output
 
! Usage !! LaTex Input !! LaTex Output
Line 38: Line 39:
 
| Slope for  a straight line (2)
 
| 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}
| <math> m= \frac{Δy}{Δx}=\frac{y_A-y_B}{x_A-x_B}</math>
+
| <math>m= \frac{Δy}{Δx}=\frac{y_A-y_B}{x_A-x_B}</math>
 
|-
 
|-
 
| Compound Interest
 
| 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}
|<math>Amount = Principal \cdot \left( 1 + \frac {rate}{periods}  \right)  ^ {time\; \cdot\; periods}</math>
+
|<math>Amount = Principal \cdot \left( 1 + \frac {rate}{periods}  \right)  ^ {time \cdot periods}</math>
 
|-
 
|-
 
| Quadratic Equation
 
| Quadratic Equation
| a x^2\; +\; b x\; +\; c\; =\; 0
+
| a x^2 + b x + c = 0
 
| <math>a x^2 + b x +  c  =  0</math>
 
| <math>a x^2 + b x +  c  =  0</math>
 
|-
 
|-
 
| Simplified Quadratic Equation
 
| Simplified Quadratic Equation
| x^2\; +\; p x\; +\; q\; =\; 0
+
| x^2 + p x + q = 0
 
| <math>x^2 +  p x  +  q  =  0</math>
 
| <math>x^2 +  p x  +  q  =  0</math>
 
|-
 
|-
 
| Vertex Form
 
| Vertex Form
|  f(x)\; =\; a(x\; -\; h)^2\; +\; k
+
|  f(x) = a(x - h)^2 + k
 
| <math> f(x)  =  a(x  -  h)^2 +  k</math>
 
| <math> f(x)  =  a(x  -  h)^2 +  k</math>
 
|-
 
|-
 
| Factored Form
 
| Factored Form
| f(x)\; =\; (x\; +\; a)\;(x\; +\; b)
+
| f(x) = (x + a)(x + b)
| <math>f(x)\; =\; (x\; +\; a)\;(x\; +\; b)</math>
+
| <math>f(x) = (x + a)(x + b)</math>
 
|-
 
|-
 
| Quadratic Formula
 
| Quadratic Formula
| x\; =\; \frac {-b\; \pm\; \sqrt {b^2\; -\; 4ac}}{2a}
+
| x = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a}
| <math>x\; =\; \frac {-b\; \pm\; \sqrt {b^2\; -\; 4ac}}{2a}</math>
+
| <math>x = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a}</math>
 
|-
 
|-
 
| Quadratic Formula
 
| Quadratic Formula
| x_{1/2}\; =\; \frac {-b\; \pm\; \sqrt {b^2\; -\; 4ac}}{2a}
+
| x_{1/2} = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a}
| <math>x_{1/2}\; =\; \frac {-b\; \pm\; \sqrt {b^2\; -\; 4ac}}{2a}</math>
+
| <math>x_{1/2} = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a}</math>
 
|-
 
|-
 
| Quadratic Formula for Simplified Quadratic Equation
 
| 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}}
| <math>x_{1/2}\; =\; - \frac{p}{2}{\; \pm\; \sqrt {\left( \frac{p}{2} \right)^2\; -\; q}}</math>
+
| <math>x_{1/2} = - \frac{p}{2}{ \pm \sqrt {\left( \frac{p}{2} \right)^2 - q}}</math>
 
|-
 
|-
 
| Quadratic Formula for Simplified Quadratic Equation
 
| 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}}
| <math>x_{1/2}\; =\; - \frac{p}{2}{\; \pm\; \sqrt { \frac{p^2}{4} \; -\; q}}</math>
+
| <math>x_{1/2} = - \frac{p}{2}{ \pm \sqrt { \frac{p^2}{4}   - q}}</math>
 
|-
 
|-
 
| Cubic Equation
 
| Cubic Equation
| a x^3\; +\; b x^2\; +\; c x\; +\; d\; =\; 0
+
| a x^3 + b x^2 + c x + d = 0
| <math>a x^3\; +\; b x^2\; +\; c x\; +\; d\; =\; 0</math>
+
| <math>a x^3 + b x^2 + c x + d = 0</math>
 
|-
 
|-
 
| Basic Trigonometry Forms
 
| Basic Trigonometry Forms
Line 85: Line 86:
 
|-
 
|-
 
|
 
|
| f(x)\; =\; a\; \sin\; b\;(x\; -\; h)\; +\; k
+
| f(x) = a \sin b (x - h) + k
| <math>f(x)\; =\; a\; \sin\; b\;(x\; -\; h)\; +\; k</math>
+
| <math>f(x) = a \sin b (x - h) + k</math>
 
|-
 
|-
 
|
 
|
| f(x)\; =\; a\; sin\; (B x + C) + k
+
| f(x) = a sin (B x + C) + k
| <math>f(x)\; =\; a\; \sin\; (B x + C) + k</math>
+
| <math>f(x) = a \sin (B x + C) + k</math>
 
|-
 
|-
 
|
 
|
| b\;(x\; -\; h)\; = B\; \left( x\; -\; \frac {-C}{B} \right)
+
| b (x - h) = B \left( x - \frac {-C}{B} \right)
| <math>b\;(x\; -\; h)\; = B\; \left( x\; -\; \frac {-C}{B} \right)</math>
+
| <math>b (x - h) = B \left( x - \frac {-C}{B} \right)</math>
 
|-
 
|-
 
|
 
|
| h\; = \frac {-C}{B}
+
| h = \frac {-C}{B}
| <math>h\; = \frac {-C}{B}</math>
+
| <math>h = \frac {-C}{B}</math>
 
|-
 
|-
 
| Limit (corrected to work in HTML5 as well as Java)
 
| Limit (corrected to work in HTML5 as well as Java)
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| <math>\mathbf{bold text}</math>
 
| <math>\mathbf{bold text}</math>
 
|-
 
|-
 +
</small>
 +
[[es:Código LaTeX para las fórmulas más comunes]]

Revision as of 02:09, 30 September 2014

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)
Distance Formula \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

Text formatting

Usage LaTex Input LaTex Output
Text with spacing \text{some words with spaces} \text{some words with spaces}
Italic text \mathit{italic text} \mathit{italic text}
Bold text \mathbf{italic text} \mathbf{bold text}

es:Código LaTeX para las fórmulas más comunes

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