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Preserve search engine rankings while shifting to new domain name
How do I sort a std::vector by the values of a different std::vector? These should work by adding spaces or removing spaces from the beginning of the current line or every line between the start and end of a text selection (inclusive).  (edited this question to supplement ) Split $n$ into nontrivial factors via a nontrivial square-root of $1\!\pmod{\!n}$ Coming from an understanding of Fermat's primality test, I'm looking for a clear explanation of the Miller-Rabin primality test.  Specifically: I understand that for some reason, having non-trivial square roots of 1 mod p means that p is definitely composite; and I gather that you can find these non-trivial square roots by squaring x, but I don't really understand what these reasons are. Specific examples of non-trivial roots of a composite number would be helpful.  Cheers! Looking for Space Exploration Book which is collection of different sub-stories The Book is about an earthship exploring the frontiers that I read as a kid (80's). All the stories are told by the same character but different encounters and events.    The first story is about the crew exploring the planet in a number of separate ships when one of them is taken over by a telepathic alien. As the ship returns however the surprise is sprung on the alien that the Mother ship is Computer controlled. Another is the ship shrinking and then finding after its shrunk beyond the atom that it comes back in as gigantic compared to the Universe in a closed loop.   Hopefully that's enough to trigger a memory. Trying to identify a story about breaking out of a predefined path and no one notices I vaguely remember reading a short story many years ago where something happens and the protagonist gets a bit "out of step" with the rest of the world.  Everyone else keeps acting as if he's still doing what he would have been doing before the event, to the point of carrying on one-sided conversations and the like.  I can't remember much of the plot, but the premise stuck with me.  Edit: To try and explain it more clearly, based on the comment I just wrote, I think everyone else was effectively acting like they were robots with a prerecorded program.  If someone would normally wake up, drink coffee, put on pants, then walk out the door to catch a bus, then if the protagonist broke his coffee cup, stole his pants, and jammed the door, the victim would pour coffee into a broken/nonexistent cup, walk out pantsless, but when he got to the jammed door he might suddenly realize something was up (and thus being "out of step" spreads) or he might continue to go through the motions.  In either case, no one else would notice that the victim was pantsless (or that he didn't make it to work)...  How much of this actually came up in the story, I don't remember. This is a tricky one and I've always relied on techniques, such as permission-based emails (i.e. only sending to people you have permission to send to) and not using blatantly spamish terminology.  Of late, some of the emails I send out programmatically have started being shuffled into people's spam folder automatically and I'm wondering what I can do about it.  This is despite the fact that these particular emails are not ones that humans would mark as spam, specifically, they are emails that contain license keys that people have paid good money for, so I don't think they're going to consider them spam  I figure this is a big topic in which I am essentially an ignorant simpleton. In a topological space, why the intersection only has to be finite? I was wondering if there is a reason why in the definition of a topologic space, the reunion of any collection of open sets is also an open set but the intersection has to be finite to be a set.  Is there because of the definition of an open set itself ? I have always seen it as a definition, but now I want to know why.  Thanks for your help. I have a weird port forwarding problem. I tried to open my port 22 to the outside network. I was able to access it as long as I am not inside the LAN. I can access it from my office for example. But from within the LAN, I can access the port using the local ip, but I can't access the port using the external IP. It's as if the router is blocking the loopback. I've check all my router settings, turned off anything firewall/filtering related. Any ideas? How to change the line spacing in my list of figures? I am using the book documentclass and have a list of figures. After  I noticed that there is a blank line to separate figures that are in different chapters, but not if they are within the same chapter. Since I changed the numbering of my figures to be {1, 2, 3, etc.} instead of {2.1, 2.2, 3.1, etc.} this looks silly and I'd rather have a blank line between each figure, no matter what.  How do I do that?  Similar: How to convert a 3 column csv file into a table (or matrix) I have an CSV input file format like this, with a nucleotide sequence in field 1, text in field 2, and an integer in field 4:  ATGC,CD3,56 ATGC,CD4,67 ATGC,IgD,126 ATGC,IgM,127 AGTC,CD3,67 AGTC,CD4,78 AGTC,IgD,102 AGTC,IgM,89 TCGA,CD3,334 TCGA,CD4,123 TCGA,IgD,456 TCGA,IgM,80 CGTA,CD3,54 CGTA,CD4,32 CGTA,IgD,82 CGTA,IgM,117   I opened this CSV file using Numbers in Mac it's display as 3 columns format, however, I want to convert it to the table(or Matrix) format (also a CSV file), making the first column, the nucleotide sequences, into a header, and want the result to also look like a table (or Matrix):       ATGC  AGTC  TCGA  CGTA CD3  56    67    334   54 CD4  67    78    123   32 IgD  126   102   456   82 IgM  127   89    80    117   Below is a section from my real input CSV file (sample input.txt):  AGAATAGTCTGATTCT,-,,38 AGAATAGTCTGATTCT,AnnexinV,,51 AGAATAGTCTGATTCT,CD127,,39 AGAATAGTCTGATTCT,CD138,,3 AGAATAGTCTGATTCT,CD14,,2 AGAATAGTCTGATTCT,CD16,,4 AGAATAGTCTGATTCT,CD19,,10 AGAATAGTCTGATTCT,CD20,,6 AGAATAGTCTGATTCT,CD24,,21 AGAATAGTCTGATTCT,CD25,,4 AGAATAGTCTGATTCT,CD27,,87 AGAATAGTCTGATTCT,CD3,,235 AGAATAGTCTGATTCT,CD34,,5 AGAATAGTCTGATTCT,CD38,,18 AGAATAGTCTGATTCT,CD4,,412 AGAATAGTCTGATTCT,CD43,,99 AGAATAGTCTGATTCT,CD5,,430 AGAATAGTCTGATTCT,CD56,,3 AGAATAGTCTGATTCT,CD8,,7 AGAATAGTCTGATTCT,IgD,,4 AGAATAGTCTGATTCT,IgM,,2 TGTGGTAGTTCGTCTC,-,,9 TGTGGTAGTTCGTCTC,AnnexinV,,42 TGTGGTAGTTCGTCTC,CD127,,6 TGTGGTAGTTCGTCTC,CD138,,4 TGTGGTAGTTCGTCTC,CD16,,40 TGTGGTAGTTCGTCTC,CD19,,7 TGTGGTAGTTCGTCTC,CD20,,2 TGTGGTAGTTCGTCTC,CD24,,24 TGTGGTAGTTCGTCTC,CD25,,2   How can I do this using Linux text formatting commands? I'm trying to install a service using InstallUtil.exe but invoked through Process.Start. Here's the code:  ProcessStartInfo startInfo = new ProcessStartInfo (m_strInstallUtil, strExePath); System.Diagnostics.Process.Start (startInfo);   where m_strInstallUtil is the fully qualified path and exe to "InstallUtil.exe" and strExePath is the fully qualified path/name to my service.  Running the command line syntax from an elevated command prompt works; running from my app (using the above code) does not. I assume I'm dealing with some process elevation issue, so how would I run my process in an elevated state? Do I need to look at ShellExecute for this?  This is all on Windows Vista. I am running the process in the VS2008 debugger elevated to admin privilege.  I also tried setting startInfo.Verb = "runas"; but it didn't seem to solve the problem. If we have a function $f:A \rightarrow B$, then one way to give meaning, I think, to this function, in terms of set theory, is to say, that $f$ is actually a binary relation $f=(A,B,G_f)$, where $G_f \subseteq A \times B$ is the graph of the function. Now my question is: what is $f$ if   $\bullet \ A=\emptyset, \ B\neq\emptyset$,?  $ \bullet \ B=\emptyset, \ A\neq\emptyset$ ?  $ \bullet \ B=\emptyset, \ A=\emptyset$ ?  (Another way to formulate this, I think, would be: How do the sets $\emptyset\times B,\ A\ \times \emptyset, \ \emptyset \times \emptyset $ look like? Are they all $\emptyset$ ?) I know that big O is used to describe the upper bound of a function, so doesn't this mean that if the upper bounds f and g are the same, they are the same function? If this is the case, then we can say that  f ∈ Θ(g) because if that were not the case, then the two upper bounds would not be the same and thus one would out grow the other. Is this correct? May someone help me? I am trying to use induction to prove that the formula for finding the $n$-th term of the Fibonacci sequence is:   $$F_n=\frac{1}{\sqrt{5}}⋅\left(\frac{1+\sqrt{5}}{2}\right)^n-\frac{1}{\sqrt{5}}⋅\left(\frac{1-\sqrt{5}}{2}\right)^n.$$  I tried to put $n=1$ into the equation and prove that if $n=1$ works then $n=2$ works and it should work for any number, but it didn't work. I need to prove that this formula gives the $n$th Fibonacci number. Moving files of specific type/extension from one directory to another? Prove that $z^2 \equiv ab\pmod p$ is solvable if and only if both or neither of $x^2 \equiv a \pmod p$, $x^2 \equiv b \pmod p$ are solvable. Suppose the $p$ is an odd prime not dividing $ab$.  Prove that $z^2 \equiv ab \pmod p$ is solvable if and only if both or neither of $x^2\equiv a\pmod{p}$ and $x^2 \equiv b \pmod p$ are solvable. Community isn't on ~15 sites! I was looking at the Community user's profile, and I noticed that there was about 15 sites missing in the "accounts" tab. There's a little over 120 sites on SE, and, there's about 15 sites missing from this count. Why is this happening?    Additionally, clicking on view more just shows one account, on Area51: Been trying to find graphic novel for decades - at least I think it's a graphic novel When I was a kid I had a book that I loved, as I think about it I'm pretty sure it would be characterized as a graphic novel although I was unfamiliar with that term at the time. It was a large hardcover comic book but a full-length story, probably a few hundred pages long.  This would have been about 25-30 years ago.  I recall a little about the plot: It starts with a spaceship crashing somewhere, I remember one of the first panels had the phrase that the ship "yawed wildly". I always remembered that because I had to look up the word "yawed".   The rest of the story is told in flashback form, with the rise of an empire, and I'm pretty sure there's a guy who's a slave or otherwise in the lower strata of society who rises to be the ruler of the world or something like that.    I thought that the title had the word "titan" or "empire" in it (Empire of the Titans, or Rise of the Titans, or something similar), but Google searches have been unfruitful. How to calculate the following sum: How may one calculate  $$\lim_{n\to\infty} \ \left(\left(\sum_{k=1}^{n} \frac{1}{3k-1}\right) - \frac{\ln n}{3}\right) \ ?$$ What does "Package  has no installation candidate" mean? What does the above Error mean? What is an installation candidate?  I was trying to do  sudo apt-get install munin-memcached     and I get this message:  Reading package lists... Done Building dependency tree        Reading state information... Done Package munin-memcached is not available, but is referred to by another package. This may mean that the package is missing, has been obsoleted, or is only available from another source E: Package munin-memcached has no installation candidate   I googled for the problem and someone said to do a apt-get upgrade but it still did not solve my problem.