Difference between revisions of "Mathematical functions"

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==Functions of the JavaScript Object Math==
 
==Functions of the JavaScript Object Math==
 
The following functions are part of every JavaScript virtual machine:
 
The following functions are part of every JavaScript virtual machine:
* Math.abs;
+
* ''Math.abs'';
* Math.acos;
+
* ''Math.acos'';
* Math.asin;
+
* ''Math.asin'';
* Math.atan;
+
* ''Math.atan'';
* Math.ceil;
+
* ''Math.ceil'';
* Math.cos;
+
* ''Math.cos'';
* Math.exp;
+
* ''Math.exp'';
* Math.floor;
+
* ''Math.floor'';
* Math.log;
+
* ''Math.log'';
* Math.max;
+
* ''Math.max'';
* Math.min;
+
* ''Math.min'';
* Math.random;
+
* ''Math.random'';
* Math.sin;
+
* ''Math.sin'';
* Math.sqrt;
+
* ''Math.sqrt'';
* Math.tan;
+
* ''Math.tan'';
  
 
JSXGraph expands the set of available mathematical functions. To keep the JavaScript implementations clean, the new mathematical functions are part of the JSXGraph board.
 
JSXGraph expands the set of available mathematical functions. To keep the JavaScript implementations clean, the new mathematical functions are part of the JSXGraph board.
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</source>
 
</source>
 
Then, the object ''board'' contains the following additional mathematical functions:
 
Then, the object ''board'' contains the following additional mathematical functions:
* board.angle(A, B, C): for Point objects A, B, C. (A: name string, id string or object pointer)
+
* ''board.angle(A, B, C)'': for Point objects A, B, C. (A: name string, id string or object pointer)
* board.rad(A, B, C)
+
* ''board.rad(A, B, C)''
* board.distance(arr1, arr2): Euclidean distane between two vectors
+
* ''board.distance(arr1, arr2)'': Euclidean distane between two vectors
* board.pow(a, b): <math>a^b</math> for floating point value of ''b''. Math.pow is defined for integer values of b, only.
+
* ''board.pow(a, b)'': <math>a^b</math> for floating point value of ''b''. Math.pow is defined for integer values of ''b', only.
* board.round(x, n): returns string with fixed point representation of ''x''.
+
* ''board.round(x, n)'': returns string with fixed point representation of ''x''.
 
May be replaced by string.tofixed(n).
 
May be replaced by string.tofixed(n).
* board.cosh(x)
+
* ''board.cosh(x)''
* board.sinh(x)
+
* ''board.sinh(x)''
* board.D(f): Numerically computed derivative of the function ''f'', returns a function.
+
* ''board.D(f)'': Numerically computed derivative of the function ''f'', returns a function.
* board.I(interval,f): Numerically computed v alue integral of the function ''f'' in the given interval.
+
* ''board.I(interval,f)'': Numerically computed v alue integral of the function ''f'' in the given interval.
* board.root(f,x): root of the function f. Uses Newton methon with start value ''x'.
+
* ''board.root(f,x)'': root of the function f. Uses Newton methon with start value ''x''.

Revision as of 14:13, 25 January 2009

Functions of the JavaScript Object Math

The following functions are part of every JavaScript virtual machine:

  • Math.abs;
  • Math.acos;
  • Math.asin;
  • Math.atan;
  • Math.ceil;
  • Math.cos;
  • Math.exp;
  • Math.floor;
  • Math.log;
  • Math.max;
  • Math.min;
  • Math.random;
  • Math.sin;
  • Math.sqrt;
  • Math.tan;

JSXGraph expands the set of available mathematical functions. To keep the JavaScript implementations clean, the new mathematical functions are part of the JSXGraph board. That means, initially a board has to be created, for example with the command

board = JXG.JSXGraph.initBoard('box', {originX: 250, originY: 250, unitX: 40, unitY: 40});

Then, the object board contains the following additional mathematical functions:

  • board.angle(A, B, C): for Point objects A, B, C. (A: name string, id string or object pointer)
  • board.rad(A, B, C)
  • board.distance(arr1, arr2): Euclidean distane between two vectors
  • board.pow(a, b): [math]a^b[/math] for floating point value of b. Math.pow is defined for integer values of b', only.
  • board.round(x, n): returns string with fixed point representation of x.

May be replaced by string.tofixed(n).

  • board.cosh(x)
  • board.sinh(x)
  • board.D(f): Numerically computed derivative of the function f, returns a function.
  • board.I(interval,f): Numerically computed v alue integral of the function f in the given interval.
  • board.root(f,x): root of the function f. Uses Newton methon with start value x.