Mathematical functions

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]\displaystyle{ 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. It is aa wrapper for 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 method with start value x.
• board.factorial(n): computes [math]\displaystyle{ n! = n\cdot(n-1)\cdots2\cdot 1 }[/math].
• board.lagrangePolynomial(p): returns a function which describes the Lagrange polynomial through the points in the array p.
• board.neville(p): returns the parent array which describes the polynomial curve through the points in the array p.