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

From GeoGebra Manual
Jump to: navigation, search
Line 8: Line 8:
 
Just copy the text in the dotted box into you text-input-box. If the formula should be dynamic you need to insert the object at the place of the variable that is used here.
 
Just copy the text in the dotted box into you text-input-box. If the formula should be dynamic you need to insert the object at the place of the variable that is used here.
  
==Formulas==
+
==Useful Formulas==
  
{| border="1" cellpadding="15" cellspacing="0"
+
{| class="pretty"
|+ ==Useful Formulas==
 
 
  ! Usage !! LaTex Input !! LaTex Output
 
  ! Usage !! LaTex Input !! LaTex Output
 
  |-  
 
  |-  
Line 19: Line 18:
 
  |-  
 
  |-  
 
  | Compound Interest
 
  | Compound Interest
  | Amount = Principal * \left( 1 + \frac {rate}{periods}  \right)  ^ {time\; *\; periods}
+
  | Amount = Principal \cdot \left( 1 + \frac {rate}{periods}  \right)  ^ {time\; \cdot\; periods}
  |<math>Amount = Principal * \left( 1 + \frac {rate}{periods}  \right)  ^ {time\; *\; periods}</math>
+
  |<math>Amount = Principal \cdot \left( 1 + \frac {rate}{periods}  \right)  ^ {time\; \cdot\; periods}</math>
 
  |-
 
  |-
 
  | Slope for  a straight line
 
  | Slope for  a straight line
Line 51: Line 50:
 
  |-
 
  |-
 
  | Basic Trigonometry Forms
 
  | Basic Trigonometry Forms
  | sin A = \frac {opp}{hyp} = \frac {a}{c} = (a/c)
+
  | \sin A = \frac {opp}{hyp} = \frac {a}{c} = (a/c)
  | <math>sin A = \frac {opp}{hyp} = \frac {a}{c} = (a/c)</math>
+
  | <math>\sin A = \frac {opp}{hyp} = \frac {a}{c} = (a/c)</math>
 
  |-
 
  |-
 
  |  
 
  |  
  | 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>
 
  |-
 
  |-
 
  |  
 
  |  

Revision as of 08:15, 6 October 2011

If you have somewhere a very long formula, please share it with us. This will save time for everybody!

Design-Tip

  • A space before the formula leads to the box around the line.
  • Don't hesitate it is not looking so good. That can be done by anybody else.
  • An easy solution to get the same look is to copy the lines of an other formula for you formula.

How to use the formulas

Just copy the text in the dotted box into you text-input-box. If the formula should be dynamic you need to insert the object at the place of the variable that is used here.

Useful Formulas

Usage LaTex Input LaTex Output
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}
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}
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}
Quadratic Equation a x^2\; +\; b x\; +\; c\; =\; 0 a x^2\; +\; b x\; +\; c\; =\; 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}
Cubic Equation a x^3\; +\; b x^2\; +\; c x\; +\; d\; =\; 0 a x^3\; +\; b x^2\; +\; c x\; +\; d\; =\; 0
Cubic Vertex Form 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 forms \lim\limits_{\substack{x \to ? \\x > ?} } \lim\limits_{\substack{x \to ? \\x > ?} }
\lim\limits_{\substack{x \to ? \\x < ?} } \lim\limits_{\substack{x \to ? \\x < ?} }
\lim\limits_{x \to \infty} \lim\limits_{x \to \infty}
© 2024 International GeoGebra Institute