Difference between revisions of "Comments:LaTeX-code for the most common formulas"
From GeoGebra Manual
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''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. | ''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. | ||
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==How to use the formulas== | ==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. | 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. | ||
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==Preview== | ==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) | ||
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==Useful Formulas== | ==Useful Formulas== | ||
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{| class="pretty" | {| class="pretty" | ||
− | + | ! 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 | |
− | + | | m=\frac{y_2-y_1}{x_2-x_1} | |
− | + | | <math>m=\frac{y_2-y_1}{x_2-x_1}</math> | |
− | + | |- | |
− | + | | Slope for a straight line (2) | |
− | + | | 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> | |
− | + | |- | |
− | + | | Compound Interest | |
− | + | | 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> | |
− | + | |- | |
− | + | | Quadratic Equation | |
− | + | | a x^2\; +\; b x\; +\; c\; =\; 0 | |
− | + | | <math>a x^2\; +\; b x\; +\; c\; =\; 0</math> | |
− | + | |- | |
− | + | | Simplified Quadratic Equation | |
− | + | | x^2\; +\; p x\; +\; q\; =\; 0 | |
− | + | | <math>x^2\; +\; p x\; +\; q\; =\; 0</math> | |
− | + | |- | |
− | + | | Vertex Form | |
− | + | | f(x)\; =\; a(x\; -\; h)^2\; +\; k | |
− | + | | <math> f(x)\; =\; a(x\; -\; h)^2\; +\; k</math> | |
− | + | |- | |
− | + | | Factored Form | |
− | + | | f(x)\; =\; (x\; +\; a)\;(x\; +\; b) | |
− | + | | <math>f(x)\; =\; (x\; +\; a)\;(x\; +\; b)</math> | |
− | + | |- | |
− | + | | Quadratic Formula | |
− | + | | x\; =\; \frac {-b\; \pm\; \sqrt {b^2\; -\; 4ac}}{2a} | |
− | + | | <math>x\; =\; \frac {-b\; \pm\; \sqrt {b^2\; -\; 4ac}}{2a}</math> | |
− | + | |- | |
− | + | | Quadratic Formula | |
− | + | | x_{1/2}\; =\; \frac {-b\; \pm\; \sqrt {b^2\; -\; 4ac}}{2a} | |
− | + | | <math>x_{1/2}\; =\; \frac {-b\; \pm\; \sqrt {b^2\; -\; 4ac}}{2a}</math> | |
− | + | |- | |
− | + | | Quadratic Formula for Simplified Quadratic Equation | |
− | + | | 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> | |
− | + | |- | |
− | + | | Quadratic Formula for Simplified Quadratic Equation | |
− | + | | 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> | |
− | + | |- | |
− | + | | Cubic Equation | |
− | + | | a x^3\; +\; b x^2\; +\; c x\; +\; d\; =\; 0 | |
− | + | | <math>a x^3\; +\; b x^2\; +\; c x\; +\; d\; =\; 0</math> | |
− | + | |- | |
− | + | | Basic Trigonometry Forms | |
− | + | | \sin A = \frac {opp}{hyp} = \frac {a}{c} = (a/c) | |
− | + | | <math>\sin A = \frac {opp}{hyp} = \frac {a}{c} = (a/c)</math> | |
− | + | |- | |
− | + | | | |
− | + | | f(x)\; =\; a\; \sin\; b\;(x\; -\; h)\; +\; k | |
− | + | | <math>f(x)\; =\; a\; \sin\; b\;(x\; -\; h)\; +\; k</math> | |
− | + | |- | |
− | + | | | |
− | + | | f(x)\; =\; a\; sin\; (B x + C) + k | |
− | + | | <math>f(x)\; =\; a\; \sin\; (B x + C) + k</math> | |
− | + | |- | |
− | + | | | |
− | + | | b\;(x\; -\; h)\; = B\; \left( x\; -\; \frac {-C}{B} \right) | |
− | + | | <math>b\;(x\; -\; h)\; = B\; \left( x\; -\; \frac {-C}{B} \right)</math> | |
− | + | |- | |
− | + | | | |
− | + | | h\; = \frac {-C}{B} | |
− | + | | <math>h\; = \frac {-C}{B}</math> | |
− | + | |- | |
− | + | | Limit (corrected to work in HTML5 as well as Java) | |
− | + | | \lim_{x \to \infty} \left( \frac{1}{x} \right) | |
− | + | | <math>\lim_{x \to \infty} \left( \frac{1}{x} \right)</math> | |
− | + | |- | |
− | + | | Distance Formula | |
− | + | | \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} | |
− | + | | <math>\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}</math> | |
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|} | |} | ||
+ | ==Text formatting== | ||
+ | {| class="pretty" | ||
+ | ! Usage !! LaTex Input !! LaTex Output | ||
+ | |- | ||
+ | | Text with spacing | ||
+ | | \text{some words with spaces} | ||
+ | | <math>\text{some words with spaces}</math> | ||
+ | |- | ||
+ | | Italic text | ||
+ | | \mathit{italic text} | ||
+ | | <math>\mathit{italic text}</math> | ||
+ | |- | ||
+ | | Bold text | ||
+ | | \mathbf{italic text} | ||
+ | | <math>\mathbf{bold text}</math> | ||
+ | |- | ||
− | |||
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Revision as of 19:58, 2 January 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} |