Recent content by jeff.sadowski

The idea is to solve for a polynomial using some matrix manipulations not the other way round. There has to be some other methods to solve for eigen values. I have not learned the house holder equations but I know it is just a series of matrix manipulations to transform a matrix into an upper...

I would like to get the eigen values of a sparse matrix of form [ a, b, c, d, e; 1, 0, 0, 0, 0; 0, 1, 0, 0, 0; 0, 0, 1, 0, 0; 0, 0, 0, 1, 0] in matlab/octave I use the following to generate the matrix % filename nfactor.m written by Jeff Sadowski % nfactor finds the...

ooh and this seems to be a fun relation :-) http://upload.wikimedia.org/math/2/6/f/26f00e7efdbfbd0529170f3ee85bc1db.png

found one for pi http://upload.wikimedia.org/math/1/6/6/166cd5bdfa9efdab3ab4d8e2d60fed01.png

ok found one for e http://upload.wikimedia.org/math/a/1/0/a10a05335ccb3b560a678ed2dd287fdb.png

I can't seem to find the Riemann Sums for these two numbers can someone point me to them? Aren't there multiple ways to represent each in Riemann Sums?

And that is what I disagree with it is definitely special and as was said someplace else about the elegance of the formula I would induce that it is deep as well. However it doesn't really relate e and pi as I would like to do. I think I need to do more with the Riemann Sums to look for any...

I disagree, only at intervals of pi do the equations work out nicely. in degrees it would be 180. Because at 0 its just 1 that is uninteresting "i" goes away too fast. Any place else you are left with irrational numbers. So really pi is the only place that equation looks good.

Thanks I knew I had an error because it just didn't look right so (e^i)^pi is how to do it hmm there still might be something there

maybe something relating e^i * e^pi = -1 can do something ln(e^i)=ln(-1/e^pi) i=ln(-1)-ln(e^pi) i=i*pi-pi i=pi(i-1)

I know of Euler's equation e^i(pi)-1=0 but i saw another equation that interested me. And I'd like to see if i can prove it somehow and wondering the best way to do so (pi^4+pi^5)^(1/6)=e is this correct? or is this just a close approximation of e? it doesn't sound right to me for it...