we know the first 2d equation well heck we created a calculus around it but again it was very 2d in 3d we need a new calculus just as in four d also this is the workings of a teckno magi i hope to explain the workings of 3d to this planet earth and its ppl in order for them to continue with the workings in 4d successfully you talk of 10 or 11 dimensions but you dont understand the three you are even in!!!
when you listen to the thoughts in how you do things there are no more natural progressions and things are never simple
the multiple integration does not work with more than a double variable situation once in three space things break down as you will see there are ways to consider 3 gravitational forces of three objects at once... remember that that equation by Newton only dealt with 2 objects (side tracked now by local naming conventions)
in another galaxy in another time we were all there in our mind
if you know the three weights relative to each other (based on e=mc^2 (the final 2d equation)) you will not be able to solve their individual attraction vectors because partial differential equation theories lead to erroneous results when you do not consider 3d new calculus equations analysis (that will be explained at in a later blog)
at this point ive considered rewriting the history books to include three dimensions ie to the power of three and subsequent sin cos ext extsin extcos coext (exsin is the 3rd function needed in 3d the others of course are postulates there of) wait till the discussions on multidimensional travel!!!
I've always wonder why i never see 3d matrixes ?? or a matrix of matrixes to go further well this is for another time.
we need to expand all the equations in to 3 dimensions if we are to solve any kind of 3 d equation in a relative way
probably the probability you have invented is also two dimensional but I will get there too within this lifetime or the next few....
but following is the simple c program that solves the equation x^3+y^3+z^3=r^3 for whole integers the first 60 or so sets
/* filename: Some Now */
for ( a=3; a<1000; a++ )
for ( b=3; b<1000; b++ )
for ( c=3; c<1000; c++ )
for ( d=3; d<51000; d++ )
if (j==i && k<61)
printf ("%i,%i,%i,%i,%i,%i,%i, *",a,b,c,d,i,j,k);
peace out for now