Suggest button partially obscures input field
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About the localization of a UFD I was wondering, is the localization of a UFD also a UFD?    How would one go about proving this? It seems like it would be kind of messy to prove if it is true.  If it is not true, what about localizing at a prime? Or what if the UFD is Noetherian? I am in the process of redesigning an interface with a lot of Tabular data that is previously simply used as tables that look like the 19th century. I was a bit confused whether to switch it to a Card View sort of layout and present the data in that way, or to leave it in a Tabular View itself and instead just style around it.  I would like to know what could be the better approach when it comes to User Experience and what seems more at ease to the customer as I want the product to be easier for the customer to use rather than looking complicated to them.  The users of the product would be on the financial sides of the industry so, if needed please keep that into consideration. Proving $\frac{\sin x}{x} =\left(1-\frac{x^2}{\pi^2}\right)\left(1-\frac{x^2}{2^2\pi^2}\right) \left(1-\frac{x^2}{3^2\pi^2}\right)\cdots$ What is the best way to add options to a select from a JavaScript object with jQuery? Why is $1$ not a prime number? Why is $1$ not considered a prime number?  Or, why is the definition of prime numbers given for integers greater than $1$? C++ compiling on Windows and Linux: ifdef switch A uncharged capacitor $C$ is connected to a battery with potential $V$. It becomes fully charged and has a charge $Q=CV$ stored on it.   Now the polarity of the battery is reversed. The capacitor will have the charge $Q$ still but with polarity reversed too.  My question is: What is the work done by the the battery?  According to me, during 1st charging it will do a work of $QV$. The energy of the capacitor is also not changing, then what is the work done to change its polarity? In the following figure prove that: $AK||BC$ In arbitrary triangle $ABC$, let $G$ be centroid and $AH$ be a height.We extend $HG$ beyond $G$ to intersect circumcircle at $K$.Prove that $AK||BC$       I connected midpoint of $BC$ to $K$ and $A$ to show $MA=MK$ but failed... Is it "to play a game on someone" or "play games with someone"? I find this expression strange because it's clearly widely used, but seems sort of "unofficial", the "official" version, meaning the one described in dictionaries and grammar books, being playing games with, not on.  Both expressions seem to be current and valid, according to Google Books. I'm just not entirely clear on the context and the usage.  My understanding is that playing games with implies some sort of tricky, mischievous behavior, which may or may not be intentionally malicious, like office politics or standing someone up on a date ("Jane didn't show up...again. Is she playing games with me?"), while playing games on implies a form of studied deception. ("The ad said that the comic book was in mint condition but there are barely noticeable tears... are they trying to play a game on me?") I am preparing a document in French, using the "babel" package with option "french" and using commands that include colons and semicolons. My problem is, the French spacing before colons and semicolons disappears when the commands are printed. I do not understand why, have not been able to find an answer. Below is a MWE.  \documentclass{article} \usepackage[french]{babel} \newcommand\deuxpoints{Texte: texte} \begin{document} \deuxpoints\ \endgraf Texte: texte \end{document} I'm trying to find an anime movie I watched when I was younger; I believe I first watched it in 90/91. The story revolved around the recruitment and training of a group that would pilot a mecha that was similar to Voltron in that each pilot controlled a portion of the mecha that would merge into a bigger mecha. Points that I remember:   Started on Earth Program was government funded One of the pilots was related to the creator of the program, I think a female Mecha had chain weapon and a sword that was summoned from it's superhero-like chest icon. Killing blow was an m or w shape Ended with father/creator of mecha? being kidnapped by the aliens and used as human shield to deter attack on alien vessel Javascript infamous Loop issue? Tall fraction puzzle I was given this problem 30 years ago by a coworker, posted it 15 years ago to rec.puzzles, and got a solution from Barry Wolk, but have never seen it again.  Consider the series:  $$1, \frac{1}{2},\frac{\displaystyle\frac{1}{2}}{\displaystyle\frac{3}{4}},\frac{\displaystyle\frac{\displaystyle\frac{1}{2}}{\displaystyle\frac{3}{4}}}{\displaystyle\frac{\displaystyle\frac{5}{6}}{\displaystyle\frac{7}{8}}},\cdots$$  Each fraction keeps its large bars while being put atop a similar structure. This can also be represented as $$\frac{1\cdot 4 \cdot 6 \cdot 7 \cdot\cdots}{2 \cdot 3 \cdot 5 \cdot 8 \cdot\cdots}$$ terminating at $2^n$ for some $n$, where it is much closer to the limit than elsewhere.  The challenge:   Find the limit, not too hard by experiment In the last expression, find a simple, nonrecursive, expression to say whether $n$ is in the numerator or denominator Prove the limit is correct-this is the hard one. Is division of matrices possible? Disable StringBuilder optimisation in javac How are "Suggested Tags" chosen? After you've typed in a question, you get suggested tags that appear that look like this:        It appears that you need a minimum amount of characters ():     you must have entered a title (any length) and a minimum body length of 220 characters.   But other than that, how are the tags chosen? Is it:   A match of the title/body with other questions (taking the tags from those questions) A match of the title/body with tag excerpts (taking tags with overlap) A match of the title/body with tag wikis (taking tags with overlap) All of the Above None of the Above Other (please explain)   Some additional info from :  The suggested tags seem to only pop up on meta.so (they do not work on regular Stack Overflow, or on other SE sites).  While we're on the topic, why isn't this feature implemented network-wide? How to find web hosting that meets my requirements? This is a "catch-all" question designed to serve as an answer for all questions about choosing web hosting.  Pro Webmasters no longer accepts new questions about how to choose hosting.  All future questions pertaining to finding web hosting should be closed as a duplicate of this question. For more information about this policy please see .    How to find web hosting that meets my requirements?  What we're looking for in answers to this question are the basics about web hosting:   What is web hosting? What is the difference between shared, VPS, and dedicated hosting? How does a content delivery network relate to web hosting? Anything else you feel is helpful in finding a web host.   What we do not want is:   Endorsements or recommendations for specific web hosts We do not want your experience or other subjective information (just the facts please) I've ran out of chocolate bars and didn't realize I could enchant my giant spoon and knight's armor. Is there any way to get more reliably? Arrangements of MISSISSIPPI with all S's and P's separated If the all S,P are separated in the word MISSISSIPPI then the total possible arrangements are $k\frac {10!}{4!.4!} $ then value of k is? Now all S,P are separated so we can have slash method. Thus they can be placed alternatively in $6! $ ways and rest 5 can be placed in $5! $ ways. Thus we equate to get $$6!.5!=k\frac {10!}{4!.4!} $$  to get $k=13.7$ while $k=4/3$ .Where is my mistake Thanks Importance of series resistor at output of Rectifier