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Is it possible and if so how can you pass flags to the ShareLaTeX compiler which one would have passed as parameters to the LaTeX compiler?  I am using the minted package and need to pass the -shell-escape flag. Nice proofs of $\zeta(4) = \frac{\pi^4}{90}$? I know some nice ways to prove that $\zeta(2) = \sum_{n=1}^{\infty} \frac{1}{n^2} = \pi^2/6$.  For example, see  or the answers to the question "?"  Are there any nice ways to prove that $$\zeta(4) = \sum_{n=1}^{\infty} \frac{1}{n^4} = \frac{\pi^4}{90}?$$  I already know some proofs that give all values of $\zeta(n)$ for positive even integers $n$ (like #7 on Robin Chapman's list or Qiaochu Yuan's answer in the linked question).  I'm not so much interested in those kinds of proofs as I am those that are specifically for $\zeta(4)$.  I would be particularly interested in a proof that isn't an adaption of one that $\zeta(2) = \pi^2/6$. Let $a_k:=(-1)^k$ where $k\in\mathbb{N}$. $\mathbb{N}$ is the set of all non-negative integer.  And we define the partial sum $S_n:=\sum \limits_{k=0}^{n}a_k$. Notice that the sequence $\{S_k\}$ diverges which also implies that the infinite series $\sum \limits_{k=0}^{\infty}a_k$ cannot be defined.  If I consider the infinite sum $1-1+1-1+1-1+\cdots$, then this statement is equivalent that I just defined the infinite series $\sum \limits_{k=0}^{\infty}a_k$, which is contradiction.  But, suppose that the sum $1-1+1-1+1-1+\cdots$ exists and let the value of the sum be $S$. Then, we can easily observe that $S=1-S$, therefore $S=1/2$. The supposition of this proposition already proved as false, but if I ignore the definition of infinite series, it holds.  Which one is right? Or are these propositions depends on what we define? Distant aliens receive signal with instructions on how to construct humans, long after Earth is extinct When you discard cards at the beginning of the game, where do they go? The appearance is that they get shuffled back into the deck. However, after discarding key cards and not receiving them the whole game, I am now wondering if they get put in the bottom of the deck. Where do they go after being discarded? showing $\psi: R\to \mathbb C$ is ring isomorphism. What are all the common undefined behaviours that a C++ programmer should know about?  Say, like:  a[i] = i++; How to search by key=>value in a multidimensional array in PHP Heathrow change in terminal flight UK Border control check? I am traveling from NYC to Mumbai via London. Assume my connecting flight belongs to different terminal. If I have to change terminal at Heathrow, do I need to go through UK Border control ? WOL was working great on Bionic until yesterday's kernel update. How to diagnose/recover it?  Edit: if set to boot from 4.15.0-23 kernel it works. If set to boot from 4.15.0-24 it does not.  Edit2: WoL can be enabled with   sudo ethtool -s [card] wol g   but it isn't persistent. Searching for how to set it every boot.  Edit3: Per a comment by Kai-Heng Feng on this  this was an advertent change! (and therefore not a bug)  This is because the fix of LP: #1752772 has one commit [1] that disables WoL by default. Set WoL explicitly should solve your issue.  [1] https://github.com/torvalds/linux/commit/7edf6d314cd061e1d0a1b7bc0b511d64322c3f72 Setting custom UITableViewCells height How do I delete unique rows from a table with duplicate keys? I have the following data:        road        |  ID  | other column  | other column |  ------------------+------+---------------+--------------+           MAIN ST           |  1   |     ...       |     ...      | MAIN ST           |  2   |     ...       |     ...      |         MAIN ST           |  3   |     ...       |     ...      | BERRY LN          |  4   |     ...       |     ...      | BERRY LN          |  5   |     ...       |     ...      | BERRY LN          |  6   |     ...       |     ...      | JOHN RD           |  7   |     ...       |     ...      | JOHN RD           |  8   |     ...       |     ...      |   I want all rows with duplicates in the road column removed. It does not matter to me which duplicates are removed. The end result can look something like this:        road        |  ID  | other column  | other column |  ------------------+------+---------------+--------------+           MAIN ST           |  3   |     ...       |     ...      | BERRY LN          |  4   |     ...       |     ...      | JOHN RD           |  8   |     ...       |     ...      |   where the id's are any value, as long as the road column is unique.   Is there a simple way to do this in SQL or T/SQL? I followed the guide , but it only applies to duplicate keys with non-unique rows. Why do we use $x - y$ rather than $x + y$ in the definition of the convolution? Is it just convention? (If we are thinking of convolutions as weighted averages, for instance against "good kernels," it should make no difference.)  Why $(f * g) (x) = \int f(y) g(x - y) dy$ rather than $(f * g) (x) = \int f(y) g(x + y) dy$?  Edit: I'm finding it really hard to choose a best answer. There are at least three very good ones here. Where can I send feature requests? Prove $\left| \int_a^b f(t) dt \right| \leq \int_a^b \left| f(t) \right| dt$ I've been given a proof that shows the following:  If $f:[a,b]\to \mathbb C$ is a continuous function and $f(t)=u(t)+iv(t)$ then $$\left| \int_a^b f(t) dt \right| \leq \int_a^b \left| f(t) \right| dt$$ The proof begins by letting $\theta$ be the principle argument of the complex number $\int_a^b f(t)dt$ and there is one step in the proof I don't understand; can anyone explain to me why $$\int_a^b e^{-i\theta}f(t) dt=\Re\bigg(\int_a^be^{-i\theta}f(t)dt\bigg)$$  Would this not imply that the imaginary part of the left hand side is equal to $0$? I'm not sure why the LHS and RHS would be equal here. Why do Lambertian Reflectors Privilege the Observer? PHP not working after upgraded to Ubuntu 17.10 After I upgraded to Ubuntu 17.10, PHP totally stopped working. Everything works fine in Ubuntu 17.04. The code for info.php as follows does not work:   &lt;?php  phpinfo(); ?&gt;   It is not showing PHP information, it only shows the source code like above. Is it possible to recognise hardware (router or network card) just by its MAC address? Just wondering if that is possible. Are there any naming conventions that would allow one to deduce whether the MAC address belongs to a router (of a specific brand), or a network card, etc.. I have customers who want to buy large amount of flash memories but he wants to copyright all files inside it.   The flash will contain files that will be delivered for his customers but they're not allowed to copy or delete any of the files the only allowed permission is to ready the files.   I searched and found many solutions but all have on function it WriteProtect the USB though I can't add files to Drive at all but I can delete or copy any file in the drive.   Is there any way to protect the flash memory so I can't copy data out of it? Z-axis issue with the floating review info panel, permits various elements to flow over it