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May
12
asked Galerkin method for the following integral equation
May
5
reviewed Approve Problem with partial fractions
Apr
13
reviewed Approve Eigenvectors belonging to different eigenvalues are linearly indepenent. Problem with proof.
Apr
13
accepted Eigenvectors belonging to different eigenvalues are linearly indepenent. Problem with proof.
Apr
13
comment Eigenvectors belonging to different eigenvalues are linearly indepenent. Problem with proof.
Ah perfect I see now! Thanks for clearing up the confusion. I did not realize that linear combinations should satisfy the finite support property you describe.
Apr
13
comment Eigenvectors belonging to different eigenvalues are linearly indepenent. Problem with proof.
Thanks for your answer, I get what you are saying but I am afraid I am not sure how it helps. The contradiction in the proof comes from the fact that $x_m$ is the first eigenvector that can be written as a linear combination of the first $m-1$ eigenvectors. But how can we talk about such ordering if we have an index set of cardinality greater than $\mathbb R$? In other words, how can we possibly say this is the first eigenvector such that...
Apr
13
asked Eigenvectors belonging to different eigenvalues are linearly indepenent. Problem with proof.
Apr
2
revised Let $z=re^{i2\pi\theta}$ and $w=\lambda z+cz^2\bar{z}+\mathcal{O}(z^4)=\tilde{r}e^{i2\pi\psi}$, what is an $\mathcal{O}(r^3)$ approximation of $\psi$?
added 97 characters in body; edited title
Apr
2
revised Let $z=re^{i2\pi\theta}$ and $w=\lambda z+cz^2\bar{z}+\mathcal{O}(z^4)=\tilde{r}e^{i2\pi\psi}$, what is an $\mathcal{O}(r^3)$ approximation of $\psi$?
added 97 characters in body; edited title
Apr
2
revised Let $z=re^{i2\pi\theta}$ and $w=\lambda z+cz^2\bar{z}+\mathcal{O}(z^4)=\tilde{r}e^{i2\pi\psi}$, what is an $\mathcal{O}(r^3)$ approximation of $\psi$?
added 46 characters in body
Apr
2
asked Let $z=re^{i2\pi\theta}$ and $w=\lambda z+cz^2\bar{z}+\mathcal{O}(z^4)=\tilde{r}e^{i2\pi\psi}$, what is an $\mathcal{O}(r^3)$ approximation of $\psi$?
Mar
28
reviewed Approve How can I get if an object is facing another in degrees if one has 0 and the other one has 360?
Mar
28
reviewed Approve Is this proof that $c_0$ is a closed subspace of $\ell^\infty$ correct? Also need some help finish it.
Mar
28
reviewed Approve How can I get if an object is facing another in degrees if one has 0 and the other one has 360?
Mar
17
reviewed Approve Conormal Points Parabola
Mar
16
reviewed Approve Fourier transform of a complex exponential with quadratic argument
Mar
9
revised What is the derivative of path independent line integral?
deleted 2 characters in body
Mar
9
comment Power series Integration part of proof.
$\sum _{n=1}^{\infty } \left| a_n\right| (\left| x\right| +H)^n$. Is this what you meant? If so then you should remove the double \left and \right. There should always be a bracket or a dot following \left or \right.
Mar
7
revised Am not getting the right answer for $I = \int\limits_{S_\epsilon} \frac{x \,dy\,dz + y \,dx\,dz + z \,dx\,dy}{(x^2+y^2+z^2)^{\frac32}}$
deleted 782 characters in body
Mar
7
answered Am not getting the right answer for $I = \int\limits_{S_\epsilon} \frac{x \,dy\,dz + y \,dx\,dz + z \,dx\,dy}{(x^2+y^2+z^2)^{\frac32}}$