I would like to type  &lt; X >  without the spaces. Doing so (at least without the first space) yields no character at all.  Typing the same in code mode works:  &lt;X&gt;
I've posted a lot to StackOverflow, and I've noticed something kind of irritating with the formatting in writing questions and comments. If I need to put something inside a &lt; and a >, without spaces in the middle (like right there), it will think it's code and not show up, like this   (obviously it won't come up what I wrote there, or else this wouldn't be an issue, but if you open up the question to edit you can see what's written there.)  If I want it to show up, right now I have to add an extra set of brackets inside of the originals with a junk variable, like right &lt;here> (again, open in edit window to see).  This is really annoying when trying to show variables like lists that require those brackets, and I feel like the junk variables could confuse people looking at the edits. Is there a way to get around this formatting? Thanks!
If I know $\| f_n - f \|_{L^p(\mathbb{R})} \to 0$ as $n \to \infty$, do I know that $\lim_{n \to \infty}f_n(x) = f(x)$ for almost every $x$? Misleading chat usercard on SE 2.0 chat Sharing Jupyter notebooks within a team I would like to set up a server which could support a data science team in the following way: be a central point for storing, versioning, sharing and possible also executing Jupyter notebooks.  Some desired properties:   Different users can access the server and open and execute notebooks that were stored by them or by other team members. The interesting question here is what would be the behavior if user X executes cells in a notebook authored by user Y. I guess the notebook should NOT be changed: Solution should be self-hosted. Notebooks should be stored either on the server or on Google drive or on self-hosted instance of owncloud. (Bonus) Notebooks will be under git versioning control (git may be self-hosted. Cannot be bounded to GitHub or something of that sort).   I looked into  and . With the former, I didn't understand how to allow cross users access. The latter seems to only support GitHub as the storage of the notebooks.  Do you have experience with either of the solutions? Declaring variables inside or outside of a loop In version 5.2 of Apple's Pages app for OS X (Mavericks), how do I change the page layout? Good Number Theory books to start with? I'm in Grade 11. I'm interested in elementary number theory and would like properly study it. I'm not intending to enter any competitions. Why doesn't the frequency of light change during refraction? When light passes from one medium to another its velocity and wavelength change. Why doesn't frequency change in this phenomenon? Suppose $m,n&gt;0$, $U$ an open subset of $\mathbb{R}^{m+n}$ and let $f: U \to \mathbb{R}^n$ be continuously differentiable.  Is it possible for $f$ to be injective?    My thinking is that continuous differentiability+injectivity suggests that this is sort of getting at a converse to the Inverse Function Theorem.  We know the Jacobian is not invertible at any point in $U$, and the question is asking if this implies that $f$ cannot be invertible in any neighborhood contained in $U$. I have a question about using the phrase "some kind of _".  Is it incorrect to say "some kind of + plural noun"?     For example, is it wrong to say "are these rock-like things some kind of chocolates?"   I didn't use "kinds" and that kind of adds to my question. Is "kind" always plural, like "some kinds of chocolates"? Because although I'm using "some", it feels like "kind" shouldn't be a countable noun.  Anyway, I don't think I've heard of "some kind of + plural", but I think it makes more sense then using singular, since I think chocolates are countable. Please help! Can we calculate the standard error of prediction just based on simple linear regression output? The standard error of prediction in simple linear regression is $\hat\sigma\sqrt{1/n+(x_j-\bar{x})^2/\Sigma{(x_i-\bar{x})^2}}$.  My question is to calculate the standard error of prediction for $pop=1029$ just based on the following regression output. I can get all except $\bar{x}$. And I also know how to calculate the approximate standard error of prediction based on the standard errors of intercept and coefficient of $pop$, ignoring their correlation. I've been attempting to learn C in my spare time, and other languages (C#, Java, etc.) have the same concept (and often the same operators) ...   What I'm wondering is, at a core level, what does bit-shifting (&lt;&lt;, &gt;&gt;, &gt;&gt;&gt;) do, what problems can it help solve, and what gotchas lurk around the bend? In other words, an absolute beginner's guide to bit shifting in all its goodness. Background I updated my TeX Live installation on my Mac a while ago and got the error LaTeX3 Error: Mismatched LaTeX support files detected. I found a solution at .  As far as I understand it (which isn't very far), there are system formats and local formats, and TeX Live is updating the wrong one.  The fix is to update the formats. Using fmtutil-user --all worked for me.  It spewed out a load of stuff, then output fmtutil [INFO]: log file copied to: /Users/&lt;user&gt;/Library/texlive/2020/texmf-var/web2c/luatex/dvilualatex.log fmtutil [INFO]: /Users/&lt;user&gt;/Library/texlive/2020/texmf-var/web2c/luatex/dvilualatex.fmt installed.  I don't know what this tells me, but my TeX Live preferences has TeX programs set at /Library/TeX/texbin, which seems to be a link to /usr/local/texlive/2020/bin. Problem Every time I update TeX Live, I have to apply the solution again. Question Is there a way to make TeX Live use the correct formats permanently so that I don't have to keep running fmtutil-user --all after every TeX Live update?  Extra information  to  check if you have some local formats around which hide the system formats. (with eg kpsewhich --all --engine=pdftex pdflatex.fmt)  When I did that, it output /Users/&lt;user&gt;/Library/texlive/2020/texmf-var/web2c/pdftex/pdflatex.fmt /usr/local/texlive/2020/texmf-var/web2c/pdftex/pdflatex.fmt  but I don't know what that's telling me. Make Javascript do List Comprehension Countable axiom of choice: why you can't prove it from just ZF This is a follow-up question to the discussion about the finite axiom of choice .  Suppose we have a countable collection of non-empty sets $\{A_1, A_2, A_3,\cdots\}$ Reasoning as indicated in that discussion, we can prove the existence of a choice function $c_n$ such that $c_n(i)$ belongs to $A_i$ for $i = 1,\cdots,n$  Again reasoning as suggested and using induction, we can prove the existence of a function $C$ defined over $\{1, 2, \cdots\}$ such that $C(n)$ is a choice function defined for $i=1,\cdots,n$ with $C(n)(i)$ an element of A_i. We can require in addition that $C(n)(i)$ and $C(n-1)(i)$ are equal for $i=1,\cdots,n-1$.  Now it would it seem that we can prove the countable axiom of choice by taking the union of $C(1)$, $C(2)$, $\cdots$  The question is as follows: why is that proof wrong? I suspect the answer may have something to do with the axiom of union. Use a partitioned live usb I have a USB device and i'm trying to create it in a way that it has 2 partitions: one for a live linux disc and the other for document storage.  I created the partitions using gparted and and set a boot flag to the one I want to use as the live disc. Now, I have a usb like this:  Disk /dev/sdc: 14.6 GiB, 15623782400 bytes, 30515200 sectors Units: sectors of 1 * 512 = 512 bytes Sector size (logical/physical): 512 bytes / 512 bytes I/O size (minimum/optimal): 512 bytes / 512 bytes Disklabel type: dos Disk identifier: 0xc3072e18  Device     Boot   Start      End  Sectors  Size Id Type /dev/sdc1       8439808 30515199 22075392 10.5G 83 Linux /dev/sdc2  *      51200  8439807  8388608    4G  b W95 FAT32   I then used dd to flash an Ubuntu iso to /dev/sdc2  sudo dd if=/dev/shm/ubuntu-17.04-desktop-amd64.iso of=/dev/sdc2 bs=4M   When the disc is flashed onto the usb drive, I try to boot from my laptop and it shows "Operating system not found". When i try to use qemu/kvm, it shows a kernel panic like this:    How would I be able to do this properly? Rooting Stock Firmware - GSII with NFC Origin of the Mustache Twirling Villain Whenever someone thinks about silent cinema the image of the laughing villain, twirling his mustache, and tying the hapless blonde beauty to the railroad, pops up in our collective memory. But in which movie (or movies) did that particular image first appear? What is the $n$ times iterate of $f(x)=\frac{x}{\sqrt{1+x^2}}$? Career Change in to Testing I've around 10+ years of experience in Banking operations including  reconciliations, sales, customer services, asset management, and financial transaction QA.  Coming to academics I've done my PG in commerce (costing, auditing, banking, and statistics) also a diploma in project management, ISTQB foundation, Prince 2 foundation and ITIL foundation.    Can any one advise me if the testing role is ideal for me and how to start with it. How can I draw annotated braces over and under math expressions? What LaTeX markup would one have to write to produce a result similar to the image below?    Please excuse my Paint-and-mouse drawing skills. :-)