Is there any bijection between $\mathbb{R}$ and $\mathbb{R}^2$?
Examples of bijective map from $\mathbb{R}^3\rightarrow \mathbb{R}$
Unable to shrink transaction log file in SQL Server I moved to a new company recently wherein they have 2 databases in a SQL server of size 20-25 GB. I'm unable to shrink the log file of the databases. Transaction log backup of the databases are set to run every 30 mins from 6 AM-7PM. They are of size 10 and 2 Gb respectively. I tried to shrink it around 8-9 PM last night but I was not able to do.  The log_reuse_wait column stated it's waiting on a log_backup. I tried taking couple of log backups which didn't help. I ran DBCC OPENTRAN but there are no open transactions.  Also, this morning even after the Tlog backups started at 6:00 AM till now(10:30) it still shows LOG_BACKUP in log_reuse_wait column. And no OPEN TRAN as well.  When I researched on this I found this article from Paul Randal:   It states that if the DB is small and all the content of tlog file is in same VLF it couldn't truncate. I have some 300-400 VLFs in the Databases. So that doesn't make sense here as well.   One thing I noticed that every morning at 6 AM the tlog is a little bigger than the other ones. So I'm thinking to check with the lead DBA to run tlog round the clock. Other than that, I would like to see why is this happening and Am i missing anything.  I tried to shrink with the below command:  Use DB1 go DBCC SHRINKFILE(2,10)  GO   Note: It's SQL 2012 instance running 0n 2012 compatibility I recently reviewed a paper (general applied mathematics context). During the review, I realized that the fairly general ideas introduced in the paper can potentially be applied to a specific problem in a similar context. The authors did not mention this application in their paper, so I suggested to add a short comment about it in my review.  I later started thinking about the application in more detail and tried out some things, which actually seem to work quite well for this application. Now, the paper is still in the review process and might take some time until it gets published. What is the proper way how to proceed here in order to use the ideas and results which I in my exclusive position as a reviewer saw? How can I refer to the paper that is still under review? How can I best discuss the ideas with my co-workers (and potential co-authors) without disclosing that I reviewed the paper?  The paper under review is not available online on any preprint servers such as arXiv etc In Excel, the window can be frozen in place in such a way that you can always see the name of the column even though you go way down below the 'fold' of the screen.  On SE, when you scroll, the whole page goes up (or down). This means the top navigation bar is scrolled off screen. I'm not sure if it would be a good idea or not to fix the top navigation to the top of the screen and let the rest of the content scroll.  What do you think about this, in terms of pros and cons?  [Update]  With the new Top navigation bar, kudos to the design team, I think this question becomes relevant again. I'm aware of the busload of downvotes, but still.  The top navigation bar doesn't occupy much space and has two notification areas:   Inbox Achievements   Having these two notifications visible at all times would be nice, IMO.  [Update]  I've just noticed that I haven't used the word "optional" in this discussion... My bad. In Excel, the Freeze function is controlled by the user. You can optionally Freeze part of the interface, and you can eliminate the Freeze at will. How to format numbers as currency strings I would like to format a price in JavaScript. I'd like a function which takes a float as an argument and returns a string formatted like this: &quot;$ 2,500.00&quot;  What's the best way to do this? How to find the determinant of this $3 \times 3$ Hankel matrix? Today, at my linear algebra exam, there was this question that I couldn't solve.   Prove that $$\det \begin{bmatrix}  n^{2} &amp; (n+1)^{2} &amp;(n+2)^{2} \\  (n+1)^{2} &amp;(n+2)^{2}  &amp; (n+3)^{2}\\  (n+2)^{2} &amp; (n+3)^{2} &amp; (n+4)^{2} \end{bmatrix} = -8$$   Clearly, calculating the determinant, with the matrix as it is, wasn't the right way. The calculations went on and on. But I couldn't think of any other way to solve it. Is there any way to simplify $A$, so as to calculate the determinant? Firstly, how do you gain the score exactly? I know it shows in the bar on the side of the map, but I remember a match where I was lone-wolfing and still got a pretty high score in that bar. I suppose my other squad members were together, but do I also gain for their work?  Also, does the score reset when I start a new game? I mean, I play support with the Offensive perk and it took me a long game of conquest to just unlock lvl-3 extra grenade. In the next match, that 'nade is gone. Don't I keep it forever? Correct way to render crepuscular rays in cycles? While trying to use the new cycles volumetric rending features to create  (with the intention of updating ), I have found this to be a little trickier than I anticipated.    When I create a basic setup with a spot lamp (sun lamps don't seem to work, not sure if that is a result of their one directional nature or what..) and a world material like this:    Which gives me this (500 samples):    The problems with this that make me think that I'm missing something (aside from the rendertime and noise, which I understand to be a part of using bleeding edge new features) are:   The background shader/sky texture isn't visible at all (volume is too dense?) The lamp needed to be set to 50000 strength (this is of course dependent on the distance from the camera, but the kinds of strengths required to get some nice defined rays will blow everything out if volumes are disabled)   I can't seem to get a straight render (no compositing tricks) to look anything remotely like the pretty image in the release notes:        (source: )     Is this just how it works? Or is there some trick I have missed (not counting compositing/renderlayer tricks)? Is there a max array length limit in C++? How to remove an element from a list by index How should I add users non-interactively? I have a set of users I need to add to a new system as part of a BASH script that preps my server. How can I non-interactively add the user, create their home directory, set the group, and enter a default password?  For example, if I needed to add the following users, how would I go about that?  user: node password: spoon group: ultraMegaPermissions  user:serve password: spoot group: sortaNotMega  user:watcher password: spoogle group: notMega What if I run a virus/trojan Windows EXE on Ubuntu with Wine? Why are the even and odd Regge trajectories degenerate? Extracting only the BibTex records relevant to the paper My colleague asked me to write a page for a paper he writes. I wrote the page in LyX, compiled it to LaTeX, and sent him the TeX files. Then he reminded me that I forgot to send the .bib file with all the references.  But, my .bib file is huge - it contains over 1000 references (I have a global BiBTeX file for all my papers). The page I wrote uses only about 20 of them.  Is there an automatic way to extract from the bib file, only the records relevant to the current paper? Node.js on multi-core machines Too many password attempts While I was out, someone attempted to guess my phone password. They couldn't guess it and now it displays the 'too many password attempts' screen, which needs to be unlocked with a google account. However, my google account is not working. I enter the username and password correctly, and have attempted to do so about 10 times. So why is it not unlocking? Do I need an internet connection to unlock it? How to modify a specified commit? Are these intended activities legal to do in the USA under the VWP? Duplicate explanation should encourage improvement of original The new closed-as-duplicate banner says:     This question has been asked before and already has an answer. If those answers do not fully address your question, please .   I think it should instead say     This question has been asked before and already has an answer. If answers there do not fully address your question, please  or  to the pre-existing one.   &mdash; to discourage re-re-asking the same question. (I also changed "those answers", which has no plural , to "answers there", which doesn't need one.)    As of September 19, 2013, the original text quoted above has returned here. Can bounties be awarded multiple times by the same person on the same question? Is there any restriction to prevent multiple bounties ( not simultaneously) being awarded to different answers on the same question ?  i.e., on a question  -  I want to set multiple bounties since I've received 2 awesome answers. Can I set award a bounty on answer A first, and then set the bounty and award it to answer B ? Why are our planets in the solar system all on the same disc/plane/layer?