Subj : Re: Idea - Tensor could be modelled by 2 arrays and a function
To   : alt.math,alt.sci.physics,comp.programming
From : Mr Pixie
Date : Wed Aug 24 2005 09:00 pm

ah, but input_velocity should be a parameter, so my final code is:

function lorentz(input_velocity, A) array[]
{

   ' Lorentz Transformation by Anthony Smales
   ' input_velocity is the relative velocity from reference frame A to frame 
B
   ' Array A is the input array

    var B[1]: array;  ' B is the result array

    ' lorentz transformation code
    var gamma = 1/((1-input_velocity^2)^0.5);

    B[0] =  (gamma*(A[0,0])) + ((-input_velocity * gamma)*(A[0,1]));
    B[1] =  ((-input_velocity * gamma)*(A[1,0])) + (gamma*(A[1,1]));
    B[2] =  A[2,2];
    B[3] =  A[3,3];

    return B[];
}

My burning question tho is this : 'does this function correctly model all 
aspects of a tensor?'
I am particularly concerned that it correctly models the dual space.

.