| bio | website | |
|---|---|---|
| location | Munich | |
| age | ||
| visits | member for | 1 year, 10 months |
| seen | yesterday | |
| stats | profile views | 152 |
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May 13 |
awarded | Caucus |
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Apr 9 |
comment |
Infinite sets don't exist!? You could mention, that Von Neumann proposed that all natural numbers can be bootstrapped out of the empty set by the operation you described. |
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Mar 28 |
awarded | Popular Question |
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Mar 28 |
awarded | Popular Question |
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Mar 4 |
awarded | Popular Question |
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Feb 18 |
answered | $E^2[X]$ vs.$E[X^2]$, what's the difference? |
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Jan 27 |
awarded | Tumbleweed |
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Jan 20 |
asked | Properties of shortest walks and simple paths during optimization |
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Jan 20 |
accepted | Parameterized curve describing trajectory of thrown object |
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Jan 16 |
comment |
When is $f(x) = \frac{ax}{e^{-b}-{(e^{c})}^x}$ monotonic? By the way, is this a homework related question? If so, then please consider adding the appropriate tag - furthermore show what you have done so far and what you don't understand so we see that you at least tried something. |
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Jan 16 |
answered | When is $f(x) = \frac{ax}{e^{-b}-{(e^{c})}^x}$ monotonic? |
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Jan 14 |
comment |
Parameterized curve describing trajectory of thrown object I don't know whether this is correct, but we never did such complicated computations in class. I tried to solve this problem now by not factorizing so that I have $\sqrt{v_0^2\cos^2\beta+(v_0\sin\beta-gt)^2}$ and simplify that with other (much easier) approaches. Do you have some other suggestions? |
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Jan 14 |
comment |
Parameterized curve describing trajectory of thrown object Actually I never saw this method, but I think that this yields $\int \|k'(u)\|\,\mathrm du=\frac{1}{2}g\left(u-\frac{v_0\sin(\beta)}{g}\right)^2+v_0\cos(\beta)u+\text{constant}$. Did I understand this substitution right? |
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Jan 14 |
asked | Parameterized curve describing trajectory of thrown object |
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Jan 8 |
comment |
Proving that $\left(\frac{1}{0!}+\frac{1}{1!}+\frac{1}{2!}+\frac{1}{3!}+\cdots+\frac{1}{n!}\right)$ has a limit Careful, you say that $x_n$ is a finite sum and saying that it equals an infinite sum. Furthermore you ambiguously use $n$. These are just small mistakes with the notation. How about saying $\lim_{n\to \infty} x_n = \lim_{n\to \infty} \frac{1}{0!}+\ldots+\frac{1}{n!}=\sum_{k=0}^{\infty}\frac{1}{k!}=e$? |
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Jan 7 |
comment |
If $\sum_{n=1}^\infty a_n$ is convergent, then $\sum_{n=1}^{\infty} a_n\sin(n)$ @GEdgar: I thought about that fact that $|\sin(n)|\leq 1$ like Andrew mentioned this could be an "easier" example to simplify $\sin$ if you understand. |
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Jan 7 |
revised |
If $\sum_{n=1}^\infty a_n$ is convergent, then $\sum_{n=1}^{\infty} a_n\sin(n)$ edited body |
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Jan 7 |
answered | If $\sum_{n=1}^\infty a_n$ is convergent, then $\sum_{n=1}^{\infty} a_n\sin(n)$ |
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Jan 7 |
comment |
If $\sum_{n=1}^\infty a_n$ is convergent, then $\sum_{n=1}^{\infty} a_n\sin(n)$ Have you tried to think about $(-1)^n\cdot\frac{1}{n}\to 0$? This could be some motivation. |
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Jan 7 |
revised |
Differentiation with respect to integral boundary Had some horrible mistakes in the example - these are fixed now. |