Is this normed linear space a Banach space?
Is $L^{p}$ space with alternate norm Banach?
How should I unit test multithreaded code? What resolution should a large format artwork for print be? How to check if this limit exists: $$\lim_{(x,y)\rightarrow (0,0)}{ \frac{x^4y^4}{(x^2 + y^4)^3}}$$  Can I convert it to polar form ? $$\frac{r^8 (\cos^4 (\theta)\sin^4(\theta)}{r^6 (\cos^6 (\theta) + r^6 \sin^{12} (\theta))} = \frac{r^2}{\cos^6(\theta) + 0} = 0$$ Summation of series $\sum_{n=1}^\infty \frac{n^a}{b^n}$? Let $D \subset \mathbb{C}$ be the open unit disk, $f:D \to \mathbb{C}$ a holomorphic function and $d=\sup \{|f(z)-f(w)|:z,w\in D \}$. How can I show that $|f'(0)|\leq \frac{d}{2}$?  I tried using Schwarz's lemma on the function $g:D \to \mathbb{C}$ defined by $g(z)=\frac{f(z)-f(0)}{d}$, but I am only getting $|f'(0)|\leq d$. Database schema documentation for the public data dump and SEDE Stack Exchange releases "data dumps" of all its publicly available content roughly every three months , and also makes that information queryable over the Internet at the  (SEDE) (updated weekly, on Sunday). Over time, as new features and other bits of data are introduced to Stack Exchange sites, the "anatomy" of the data dump is likely to change. Posting a Solution of a problem that You faced to Help Newbies About an Hour ago, I faced a problem and tried different ways to solve it.  At last I was going to post my Question on Stack Overflow, but the last trick which came in my mind worked, and the problem got resolved.    Now, if I want to post that problem on Stack Overflow with the solution which worked for me, for the purpose to help other newbies to get their answer if they face the same problem, what is the proper way of posting such solution to a problem? Here's an example of a Google Docs Spreadsheet script that sends emails using Google spreadsheets. I want the email Sent in HTML not plain text. Can someone help me out?  function sendEmails() {   var sheet = SpreadsheetApp.getActiveSheet();   var startRow = 2;  // First row of data to process   var numRows = 2;   // Number of rows to process   // Fetch the range of cells A2:B3   var dataRange = sheet.getRange(startRow, 1, numRows, 2)   // Fetch values for each row in the Range.   var data = dataRange.getValues();   for (i in data) {     var row = data[i];     var emailAddress = row[0];  // First column     var message = row[1];       // Second column     var subject = "Sending emails from a Spreadsheet";     MailApp.sendEmail(emailAddress, subject, message);   } } What are these fuse-looking cartridge case components on small, battery operated RF tranceivers? I have recently opened up 3 dead, battery-operated RF transceivers lying around, both wearable and key-chains. I've noticed that all three had components that looked like fuses (cartridge case), soldered down, that are quite large compared to the size of the circuit. See the pictures below. I'm not posting full circuit pictures because I don't know if I should, I can update if they are necessary.  Device 1:    Device 2:    Device 3:    I can't see why such a device will require a fuse, and I couldn't find any other common components manufactured in cartridge cases, maybe I'm not using the correct name. I don't see them on any applications notes or reference designs for the ICs used either.  I've tried to figure out how they are connected to the circuit, I don't have schematics and PCBs are more than 2 layers so they may not be complete, but see the schematics I've figured below.  Device 1:    Device 2:    Device 3:    Also, when I do a continuity test between the terminals of the components with a multimeter, resistance starts in ~50 Ohms range and goes down to short as I keep the probes on its terminals so my best guess is something for ESD protection, maybe Varistors or Thermistors?   Does anyone know what these components are and why they are there? What's the reasoning behind the delete:1 restriction for only content I own? I recently reached 10k reputation on Stack Overflow, and noticed that I now have the ability to view deleted posts with deleted:1 via the search bar. I'd like clarification as to why the restriction exists that prevents me from searching through all deleted posts?  I feel like this would be beneficial for several reasons:   , a bot that was designed to detect spam,  to help fight spam. Having deleted:1 as an option could offer a second link to show the amount of true positives, to determine if it's worth adding to a blacklist. In , the domain v-play.net was deemed as "Too many FP's". Having a check to see how many TP's there may be, may outweigh the number of false-positives, and would give a better view. Bots are currently unable to view deleted posts through the API (Even if the linked user account/API user has >10k reputation). I think that this is partially because of this restriction. I had brought it up , because I thought that having SmokeDetector log a (non-caught) rude/abuse or spam posts would be beneficial, so that we could adapt our methods to catch these types of posts in the future.  was posted earlier today. I remembered it was similar to another post I came across, but was unable to find it because . Being able to search deleted posts would have allowed me to catch this behavior, and bring it up to the mods (I was lucky that someone else had a link for it, and we were able to advise the user what to do in the future). As a member of , I come across a lot of posts that are borderline spammy (via ) which I have a vague recollection of seeing before. Instead of flagging as spam, I usually vote NAA as to not nuke a user, but by being able to search deleted posts for that user, I can see if he is habitually continuing to post links to his product/service, and flag for custom moderation attention in case.   Overall, I think it would add a lot more visibility that could be helpful in bringing problematic issues to dimaond moderator attention, something that was specifically mentioned in :     Make sure what is being deleted should have been deleted, and bring unnecessary or harmful deletions to the attention of the community and/or moderator team.   Additionally, I think that deleted:1 is almost useless in the current state it's in. If the restriction exists that I can already view my own deleted posts, why shouldn't it be available to all users (If it's limited to one's self), as I can already view my own deleted posts? Number of Homomorphisms from $\Bbb{Z}_m$ to $\Bbb{Z}_n$ Unicode Processing in C++ What is the best practice of Unicode processing in C++? List creation/manipulation Evaluating $\int_{I^n} \left( \min_{1\le i \le n}x_i \right)^{\alpha}\,\, dx$ Let $\alpha \in \mathbb R$ and let's call $I:=[0,1]$. Evaluate   $$  \int_{I^n} \left( \min_{1\le i \le n}x_i \right)^{\alpha}\,\, dx.  $$   Well, the case $n=1$ is easy and the integral equals $\frac{1}{\alpha+1}$, for every $\mathbb R \ni \alpha \ne - 1$.  I've done also the case $n=2$ and, if I'm not wrong, it's $\displaystyle \frac{2}{(\alpha+1)(\alpha+2)}$.  My big problem is that I cannot understand how to deal with the general case. Any ideas?   Thanks in advance. Removing Firefox in Ubuntu with all add-ons like it never existed I have been using Firefox for a long time in Ubuntu, I downloaded some add-ons but it made firefox extremely slow, even if I remove them nothing will change.  I tried to remove Firefox also, but re-installing it will somehow recover the same Firefox I had- it seems it write some info somewhere that even if you remove Firefox, it will keep them.  Moreover, I am not able to use see any flash videos or website with Firefox(chrome works fine).. Honestly I tampered with plug-in settings in Firefox that this happened. But right now I can't do anything to overwrite the setting...  My question is how I can remove Firefox in a way to remove any previous traces and re-install a new version like for the first time? I'm wondering if it's possible to hide a folder without renaming it with a dot on the Desktop.  Ubuntu 12.04  Thanks What's the meaning of "be blowed"? I would like to know what's the meaning of "be blowed" in the following text:     'I'm going to smoke' Jenkins said; 'be blowed to Bertie dear.' (Mrs. Smythe had once addressed her husband in the office as 'Bertie dear', and thereforth that had been his name among the staff.) Richard made no answer. When a minute later Jenkins, discreetly directing his puffs to the open window, asked him for the titles of one or two of Zola's novels in English, and their price, he gave the required information without turning round and in a preoccupied tone.   , Arnold Bennett, 1911. Confidence Interval for variance given one observation This is a problem from the "7th Kolmogorov Student Olympiad in Probability Theory":     Given one observation $X$ from a $\operatorname{Normal}(\mu,\sigma^2)$ distribution with both parameters unknown, give a confidence interval for $\sigma^2$ with a confidence level of at least 99%.   It seems to me that this should be impossible. I have the solution, but haven't read it yet. Any thoughts?  I'll post the solution in a couple days.  [Follow-up edit: Official solution posted below. Cardinal's solution is longer, but gives a better confidence interval. Thanks also to Max and Glen_b for their input.] Can Hooke's law be derived? Can we derive  from the theory of elasticity? I know it is not a fundamental law and therefore can be derived from more basic considerations. Can you help me with my capacity planning?