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Combinatorics, choosing 3 elements from 100 In how many ways can we pick three different numbers out of the group $1,2,3,\dots,100$ such that the largest number is larger than the product of the two smaller ones? (The order in which we pick the numbers does not matter.) Why don't we pluralize "foot" in measurements? For example, to answer the question, "How tall are you?" valid answers include:   Five feet. Five foot three. Five feet, three inches.   Why the discrepancy between feet and foot, seemingly only in the second case.    This question is inspired by this question:   edit: I do not believe the answer to this is related to the other question. The explanation for the other question is because of how adjective modifiers work. My question is a very different case, unrelated to adjectives. My observation is that I am asking about a particular exception case which applies only when "foot" is followed by a number which is assumed to be inches. That's extremely specific, and I doubt that the etymology has any relation to why we leave adjective modifiers singular. My wife wants a 4th baby, but I don't How can I query SEDE for tags I've created? How can I query the  for tags I've created? Do I require airport transit visa at Frankfurt? I have a list of cards for a deck I want to build or buy. What should I do to check whether that deck is legal in a particular format (Standard, for example)? Is there any way to know when I will receive my UK visa? How do I prevent and/or handle a StackOverflowException? I would like to either prevent or handle a StackOverflowException that I am getting from a call to the XslCompiledTransform.Transform method within an Xsl Editor I am writing. The problem seems to be that the user can write an Xsl script that is infinitely recursive, and it just blows up on the call to the Transform method.  (That is, the problem is not just the typical programmatic error, which is usually the cause of such an exception.)  Is there a way to detect and/or limit how many recursions are allowed?  Or any other ideas to keep this code from just blowing up on me? How do I add the kernel PPA? Injecting beans into a class outside the Spring managed context I'm an end-user of one of my company's products. It is not very suitable for integration into Spring, however I am able to get a handle on the context and retrieve the required bean by name.  However, I would still like to know if it was possible to inject a bean into this class, even though the class is not managed by Spring itself.  Clarification: The same application which is managing the lifecycle of some class MyClass, is also managing the lifecycle of the Spring context. Spring does not have any knowledge of the instance of MyClass, and I would like to some how provide the instance to the context, but cannot create the instance in the context itself. Unparsed HTML shows on search result page When you search on any of the SE network sites, with a tag (so that a description is shown); it shows the tag info content box, with the highlight-search-term span elements.  For eg. I searched ; ; and the results are as shown:                  Notice the &lt;span class='search-highlight'&gt; boxes around searched tag terms. I would like to sell my Macbook Pro, but I want to make sure that there is no way to retrieve the deleted data from my SSD. Is there a way to completely delete all files on a hard drive so that even a forensic expert cannot recover anything? Take a look at the following screenshot I took from Google Webmaster Tools "Remove URLs" page:   None of these were performed by me or others who have access to GWT.  How do these removal requests happen without us doing any requests?  Why is that happening?  How to stop that or is there any point in stopping that? Does excessive markup affect SEO? What does [t] and [ht] mean? I would appreciate if someone could tell me difference between [t] and [ht] in the following example? I don't see a difference in the output pdf file.  \begin{figure}[ht] ... \end{figure}   and  \begin{figure}[t] ... \end{figure} How to delete a file ending in a dot in Windows 7? After installing Cygwin on Windows 7 and realizing I'm better of with using Linux on a different partition, I wanted to uninstall it. However, Cygwin has no uninstaller so I was left with the option of deleting the whole folder it was installed in – which I did.  The problem is that a single file remained, in the whole directory tree, named README. at  C:\cygwin\usr\share\texmf-dist\doc\latex\hausarbeit-jura\README.  I know Windows isn't supposed to allow files with names ending in ., but this one obviously got through, and I cannot delete it. When trying to do that, I get     Item Not Found      This is no longer located in C:\cygwin\usr\share\texmf-dist\doc\latex\hausarbeit-jura. Verify the item's location and try again.   When viewing the properties of the file (Right-click, Properties), Windows tells me that it has 0 bytes.   However, when viewing it in the explorer window, and clicking on it, the windows status bar thing tells me it has 517 bytes.  Any ideas on how to get rid of it? What equipment is necessary/preferred for real estate photography? What equipment is necessary for real estate photography, and what is preferred?  I'm starting into real estate photography, and I'm trying to figure out what I need and what I will want to plan on adding to my kit as I go.  I'm thinking especially along the lines of lighting equipment and lenses (focal lengths).  For example, is an ultra-wide actually necessary? Or is a general walk around sufficient. How to install updates via command line? Isomorphism between $\mathbb{C}^* $ under multiplication with $\mathbb{C}$ under addition. Does there exists an Isomorphism between $\mathbb{C}^* $ under multiplication with $\mathbb{C}$ under addition.  Attempt In my opinion It does not exists.  If there exists such an isomorphism say $\phi :\mathbb{C}^* \to \mathbb{C}$ then, from the fact that Isomorphism takes identity to identity we have $$\phi \left( 1 \right)=0$$  From the fact      Given $\phi:G \to H$ be an isomorphism, then For a fixed integer $k$ and a fixed group element $b$ in $G$, the   equation $x^k=b$ has the same number of solutions in $G$ as does   the equation $x^k=\phi\left(b\right)$ in $H$.   We have $x^4=1$ and $x^4=0$ must have same number of solutions, but the solutions to these equations are 4 and 1 only. More and more frequently in the review queues, I am spending time either fixing a post or considering whether an edit is valid, etc, only to make changes and have them denied/not count because someone else has blindly hit the approve button in the meantime.  My proposal is for the system to "lock" a post in the review queue once it has been presented to someone for review.  Do not let anyone else (in the review queue) do anything with it until it is released by the last user it was presented to (or a certain amount of time has elapsed).    By "lock" I mean that it won't show up in anyone elses list until released.  I did NOT mean that it would be in multiple queues and be unactionable in some of them.  This would fit well as the queues only present one at a time anyway.  This will allow people trying to make good decisions the time to do it and prevent someone else from making that effort a waste of time.  As support, look to some of the published reasoning behind the auto-question ban.  A large portion of it is that bad questions waste the time of the community.  Taking the time to ensure you are making a good decision in the /review queue only to have it not count because someone was badge-whoring and clicking the approve button as fast as they could also wastes the users time... arguably the more (for lack of a better way to put it) valuable user who is willing to invest some time and thought into making the site better.