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| bio | website | |
|---|---|---|
| location | Pisa, Italy | |
| age | 28 | |
| visits | member for | 5 months |
| seen | 3 hours ago | |
| stats | profile views | 52 |
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May 9 |
comment |
Maximizing the volume of a rectangular prism what is your definition of rectangular prism? |
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Apr 27 |
answered | How to show $f$ has derivative of ALL order at $z_0$ |
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Apr 27 |
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How to show $f$ has derivative of ALL order at $z_0$ Seemed quite a trivial remark but ... ok |
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Apr 27 |
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How to show $f$ has derivative of ALL order at $z_0$ Being analytic means having a converging expansion in a power series, therefore it is obvious that such a function has all the derivatives you want. Moreover, if a function is differentiable, it has to be continuous, so obviously every derivative is also continuous. |
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Apr 27 |
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A Question About Equicontinuous Family What do you mean by equicontinuous? |
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Apr 27 |
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Inequality involving trace and operator norm You are welcome. You could accept the answer, if that's what you were searching for. |
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Apr 27 |
answered | Inequality involving trace and operator norm |
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Apr 27 |
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Inequality involving trace and operator norm Do you mean that every eigenvalue of $W$ is real and positive or that every real eigenvalue of $W$ is positive? |
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Apr 16 |
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How does degree theory imply that this mapping $f$ is locally onto? I have edited my answer to better answer your doubts. |
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Apr 16 |
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How does degree theory imply that this mapping $f$ is locally onto? inserted definitions and expanded the argument |
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Apr 10 |
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How does degree theory imply that this mapping $f$ is locally onto? That's about planar vector-fields, not maps between euclidean spaces... Here you are concerned with maps between higher dimensional spaces... I will rewrite my answer, giving some definitions. |
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Apr 9 |
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How does degree theory imply that this mapping $f$ is locally onto? Maybe you mean the winding number of an image of that circle around the image of the critical point? (which happens to be the point as it is fixed) But, anyhow, in $\mathbb{R}^n$ there is no such thing, unless $n=2$, because $\pi_1(\mathbb{R}^n\setminus\{0\})=0$ if $n\geq 3$. So, are you considering only the plane? |
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Apr 8 |
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How does degree theory imply that this mapping $f$ is locally onto? Maybe you should give me the definition you know of index of a function at a point, then i will be able to answer in a more suitable way. |
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Apr 8 |
answered | How does degree theory imply that this mapping $f$ is locally onto? |
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Apr 7 |
revised |
Approximate 0 with a integer linear combination added 3 characters in body |
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Apr 7 |
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Approximate 0 with a integer linear combination Oh sorry, I meant to write the inequality. You are right, obviously. |
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Apr 7 |
answered | Approximate 0 with a integer linear combination |
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Apr 7 |
answered | Moduli Spaces of Higher Dimensional Complex Tori |
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Mar 8 |
answered | Set of points $M(z)$ |
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Feb 17 |
comment |
Gamelin's Complex Analysis, Chapter 3, Section 2, Exercise 7 Sorry, what is $\theta$? |
