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Results tagged with integration
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user 36688
Questions related to various forms of integration including the Riemann integral, Lebesgue integral, Riemann–Stieltjes integral, double integrals, line integrals, contour integrals, surface integrals, integrals of differential forms, ...
0
votes
The perturbation of non-Hamiltonian algebraic vector fields
This paper contains a conjecture and a partial result about the abelian integral under discussion :"Computer-assisted techniques for the verification of the Chebyshev property of Abelian integrals" …
- 356
1
vote
Accepted
Help trying to show that $p_0a_1 =0$
Apply holomorphic functional calculus to the following functions which are defined on a disconnected open set in the plane containing $\Gamma_0 , \Gamma_1$
$f(z)=\begin{cases} 1& \text{Aro …
- 356
3
votes
1
answer
263
views
An Stokes type theorem for some operations other than integral
Let $M$ be a compact $m$ dimensional manifold with boundary $\partial M$.
Assume that $I_{1}, I_{2}$ are two linear functionals on $\Omega^{m}(M), \Omega^{m-1}(\partial M)$, respectively.
Assume tha …
- 356
14
votes
1
answer
2k
views
The perturbation of non-Hamiltonian algebraic vector fields
In this question, we are interested in the number of limit cycles which appears in the following perturbational system:
\begin{equation}\cases{
x'=y -x^{2}+\epsilon P(x,y) \\
y'=-x+\epsilon Q(x,y) }
…
- 356