Return Styles: Pseud0ch, Terminal, Valhalla, NES, Geocities, Blue Moon. Entire thread

A trivial exercise in mathematics

Name: Anonymous 2006-02-03 16:10

Let P(f)=0 be an elliptic system of partial differential equations defined over a closed, smooth, oriented n-dimensional manifold X. then:

Topological index of P = Analytical index of P = (-1)^n <ch(s(P)) . td(T_C X), [X]>

where
n is the dimension of the space
s(P) is the symbol of the system
ch is the Chern character
T_C X is the complexified tangent bundle on X
td is the Todd class
. is the cup product
[X] is the fundamental class of X
<a,b> is the Kronecker pairing

Name: Anonymous 2006-02-22 12:26

>>25 tells the truth

>>24
you must be a pretty pimp philosopher to assume such things about me.

maybe it's just easier for me to see it's bullshit because i began reading philosophical works early (when i was around 12. that was 8 years ago).

have fun drowning your infantile critical thinking skills in loopy contradiction-full tripe of Kant, Jacobi, Rousseau, etc. while i spend my time working in rigorous systems that actually lead somewhere!

Newer Posts
Don't change these.
Name: Email:
Entire Thread Thread List