A trivial exercise in mathematics

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

>>25
>>26
I have the feeling that not much I can say will change your mind, given how infantile you guys are being. It's not like we're saying what you guys are doing is crap, so why are you so fuckin infantile.

My original statement was that mathematics and physics emanated from philosophy. That doesn't mean philosophy is better, because maths and physics are pretty fucking hard.

On the other hand, philosophy has a lot of useful stuff too, these days. It's not just Plato and Kant. We have stuff like Frege, Russell, Searle and Minsky. In fact, ask any person doing computer science, and who is over 30, what they did as an undergrad. If they work in NLP or Machine learning, odds are they did maths and philosophy.