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 Apr13 reviewed Approve Eigenvectors belonging to different eigenvalues are linearly indepenent. Problem with proof. Apr13 accepted Eigenvectors belonging to different eigenvalues are linearly indepenent. Problem with proof. Apr13 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. Apr13 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... Apr13 asked Eigenvectors belonging to different eigenvalues are linearly indepenent. Problem with proof. Apr2 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 Apr2 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 Apr2 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 Apr2 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 $\psi$? Mar28 reviewed Approve How can I get if an object is facing another in degrees if one has 0 and the other one has 360? Mar28 reviewed Approve Is this proof that $c_0$ is a closed subspace of $\ell^\infty$ correct? Also need some help finish it. Mar28 reviewed Approve How can I get if an object is facing another in degrees if one has 0 and the other one has 360? Mar17 reviewed Approve Time-varying frequency waveform Mar17 reviewed Approve Conormal Points Parabola Mar16 reviewed Approve Fourier transform of a complex exponential with quadratic argument Mar9 revised What is the derivative of path independent line integral? deleted 2 characters in body Mar9 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. Mar7 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 Mar7 answered Am not getting the right answer for $I = \int\limits_{S_\epsilon} \frac{x \,dy\,dz + y \,dx\,dz + z \,dx\,dy}{(x^2+y^2+z^2)^{\frac32}}$ Mar6 revised Am not getting the right answer for $I = \int\limits_{S_\epsilon} \frac{x \,dy\,dz + y \,dx\,dz + z \,dx\,dy}{(x^2+y^2+z^2)^{\frac32}}$ added 786 characters in body