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How one can use a real math function on transaction in Hybrid Petri Net fundamental equation?
With a little more background, this question can be asked in an appropriate stackoverflow. This is not a researchlevel mathematics question. 
Feb
4 
revised 
Analytic continuation of the double sum $\sum_{n,m\ge0}x^ny^mt^{nm}$
math error makes this not an actual solution 
Feb
4 
comment 
Analytic continuation of the double sum $\sum_{n,m\ge0}x^ny^mt^{nm}$
That is a very good point. @WeatherReport, if you were interested in $f(x,y,t) + f(x^{1}, y, t^{1})$ then the above derivation should work (with $x$ replaced by $y$). Are you sure that what you want is $f(x,y,t) + f(x^{1}, y, t)$? 
Feb
3 
answered  Analytic continuation of the double sum $\sum_{n,m\ge0}x^ny^mt^{nm}$ 
Jan
26 
revised 
What kind of geometric object is the Pauli spin matrix vector $\vec{\sigma} = (\sigma_1, \sigma_2, \sigma_3)$?
edited body 
Jan
26 
answered  What kind of geometric object is the Pauli spin matrix vector $\vec{\sigma} = (\sigma_1, \sigma_2, \sigma_3)$? 
Jan
20 
comment 
What is modern algebraic topology(homotopy theory) about?
Give me an area of mathematics that doesn't care about K theory :) 
Jan
19 
revised 
What is modern algebraic topology(homotopy theory) about?
added paragraph on moduli spaces 
Jan
19 
answered  What is modern algebraic topology(homotopy theory) about? 
Jan
17 
awarded  Popular Question 
Jan
12 
comment 
Geometric Interpretation of Trace
I want to bump up Sujit Nair's answer, which is how I think about it. Trace is the derivative of 1+tA. This is the lie theoretical interpretation. 
Dec
26 
comment 
Algebraic K theory, Karoubi completion and splitting
Sure. Take complexes of vector spaces of even total dimension. 
Dec
26 
asked  Algebraic K theory, Karoubi completion and splitting 
Dec
24 
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When does algebraic K theory behave like a cohomology theory
What I want is an invariant of the ring $\text{Chains}\Omega(X)$, whose $\pi_0$ admits a map from the Grothendieck group of $\text{rep}\Omega(X)$, which I want to define as the category of (homologically) graded finitedimensional $\mathbb{F}$ spaces with homotopy action by the group $\Omega(X)$ (a pretriangulated DG category). 
Dec
22 
awarded  Citizen Patrol 
Dec
22 
asked  When does algebraic K theory behave like a cohomology theory 
Dec
12 
accepted  Does quantum mechanics ever really quantize classical mechanics? 
Dec
12 
awarded  Nice Question 
Dec
11 
comment 
Does quantum mechanics ever really quantize classical mechanics?
Thanks, your blog post was exactly what I was looking for. 
Dec
11 
comment 
Vector bundle $L$ admits connection if and only if degree of every direct summand of $L$ divisible by $\text{char}\,k$, intuition
Well, as you point out, the Frobenius pullback of a bundle always has a connection. So to prove the converse it would be enough to show that any indecomposable degreezero bundle is a Frobenius pullback. Frobenius pullback is is the stacky frobenius applied to Bun_X(G) for $G = GL_n$, so (if this method works), you'd want to show that the behavior of the irreducible, degreezero part of this stack is "geometric enough" that the Frobenius is invertible on points. You might try to do that using some stability filtration... this is just a guess. 