RealVector an element of R^N

Inherits from: Object : Collection : SequenceableCollection : ArrayedCollection : AbstractArray: AbstractVector

Represents an element of R^N.  Usual operations are implemented.

Note: for 2D and 3D vectors, there are available the classes RealVector2D and RealVector3D which are roughly 10% faster than RealVector.

Creation / Class Methods

*rand (size, lo, hi)

random vector.

size - dimension of vector.

lo , hi - range of values

RealVector.rand(4,-6.0,6.0);

*canonB (i, n)

ith element of canonic base of R^N.

RealVector.canonB(0,6)

Accessing Instance and Class Variables

cross (vector)

cross product:

a × b = (a₂b₃ − a₃b₂) i + (a₃b₁ − a₁b₃) j + (a₁b₂ − a₂b₁) k = (a₂b₃ − a₃b₂, a₃b₁ − a₁b₃, a₁b₂ − a₂b₁).

note that the vectors should be 3 dimensional, and no error checking is done for speed.

RealVector[1,2,3].cross(RealVector[2,5,7])

// the cross product of the cannoic base elements folds into itself

3.collect{ |i|  RealVector.canonB(i, 3) };

3.collect{ |i|  RealVector.canonB(i, 3).cross(RealVector.canonB((i+1).mod(3), 3)) };

asPoint

RealVector[1,2].asPoint;

theta

Short prose description of method.

RealVector[0,1].theta/(2pi)*360