Difference between revisions of "Comments:LaTeX-code for the most common formulas"
From GeoGebra Manual
Line 5: | Line 5: | ||
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 | + | | Amount = Principal \cdot \left( 1 + \frac {rate}{periods} \right) ^ {time \cdot periods} |
− | |<math>Amount = Principal \cdot \left( 1 + \frac {rate}{periods} \right) ^ {time | + | |<math>Amount = Principal \cdot \left( 1 + \frac {rate}{periods} \right) ^ {time \cdot periods}</math> |
|- | |- | ||
| Quadratic Equation | | Quadratic Equation | ||
− | | a x^2 | + | | 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 | + | | 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) | + | | 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) | + | | f(x) = (x + a)(x + b) |
− | | <math>f(x) | + | | <math>f(x) = (x + a)(x + b)</math> |
|- | |- | ||
| Quadratic Formula | | Quadratic Formula | ||
− | | x | + | | x = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a} |
− | | <math>x | + | | <math>x = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a}</math> |
|- | |- | ||
| Quadratic Formula | | Quadratic Formula | ||
− | | x_{1/2} | + | | x_{1/2} = \frac {-b \pm \sqrt {b^2 - 4ac}}{2a} |
− | | <math>x_{1/2} | + | | <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} | + | | x_{1/2} = - \frac{p}{2}{ \pm \sqrt {\left( \frac{p}{2} \right)^2 - q}} |
− | | <math>x_{1/2} | + | | <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} | + | | x_{1/2} = - \frac{p}{2}{ \pm \sqrt {\left( \frac{p}{2} \right)^2 - q}} |
− | | <math>x_{1/2} | + | | <math>x_{1/2} = - \frac{p}{2}{ \pm \sqrt { \frac{p^2}{4} - q}}</math> |
|- | |- | ||
| Cubic Equation | | Cubic Equation | ||
− | | a x^3 | + | | a x^3 + b x^2 + c x + d = 0 |
− | | <math>a x^3 | + | | <math>a x^3 + b x^2 + c x + d = 0</math> |
|- | |- | ||
| Basic Trigonometry Forms | | Basic Trigonometry Forms | ||
Line 85: | Line 86: | ||
|- | |- | ||
| | | | ||
− | | f(x) | + | | f(x) = a \sin b (x - h) + k |
− | | <math>f(x) | + | | <math>f(x) = a \sin b (x - h) + k</math> |
|- | |- | ||
| | | | ||
− | | f(x) | + | | f(x) = a sin (B x + C) + k |
− | | <math>f(x) | + | | <math>f(x) = a \sin (B x + C) + k</math> |
|- | |- | ||
| | | | ||
− | | b | + | | b (x - h) = B \left( x - \frac {-C}{B} \right) |
− | | <math>b | + | | <math>b (x - h) = B \left( x - \frac {-C}{B} \right)</math> |
|- | |- | ||
| | | | ||
− | | h | + | | h = \frac {-C}{B} |
− | | <math>h | + | | <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) | ||
Line 124: | Line 125: | ||
| <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} |