Java URL - Google Translate request returns 403 error?
403 Forbidden with Java but not web browser?
How to develop RPG Damage Formulas? Deleting Individual SE Accounts Attaching towel rail to drywall Is there any way to accept only numeric values in a JTextField? I have found film reels some with tails of film others not. Is there a way of telling if they have been exposed/used in a camera? Film types are for 35mm and one Kodak Advantix. Visiting Russia as an Arab. Am I going to be hassled? $G$ simple group and there exists a subgroup of index $n$. Show that: $|G|$ divides $n!/2$ Let $G$ be a simple group and there exists a subgroup $H$ of index $n \in \mathbb{N}_{\ge 3}$. Show that: $|G|$ divides $n!/2.$ I saw a similar question .   There was written: "The proof is really simple. Let $X$ be the set of left cosets of $H$. Consider $\phi: G \to \text{Sym}(X)$ given by $\phi(x)(aH)=(xa)H$. Then $\phi$ is a homomorphism. Consider now $K=\ker \phi$. Then $K$ is a normal subgroup of $G$ contained in $H$. Finally, $G/K$ is isomorphic to a subgroup of $\text{Sym}(X)$, which has order $n!$, where $n=[G:H]$. Thus, $[G:K]$ is finite and divides $n!$."  In fact, I don't understand the last sentence. "Thus, $[G:K]$ is finite and divides $n!$." Also did I understand it right that $ker(\phi)=H$?  Can you also give me an advice how to proof it for $n \ge 3$. (maybe induction)  Thank you for taking your time. Average run length Suppose in an Xbar chart, k successive points plotted outside a control limit indicates an out of control situation. If p is the probability of plotting a point outside a control limit, how is ARL = $(1-p^k)/(p^k (1-p))$? I co signed on a bank loan to finance the purchase of a car for my brother in Florida.  Only his name is on title, registration and insurance policy. Would I be liable and can I be sued by another person if he were in an accident? Should I use #define, enum or const? In a C++ project I'm working on, I have a flag kind of value which can have four values. Those four flags can be combined. Flags describe the records in database and can be:   new record deleted record modified record existing record   Now, for each record I wish to keep this attribute, so I could use an enum:  enum { xNew, xDeleted, xModified, xExisting }   However, in other places in code, I need to select which records are to be visible to the user, so I'd like to be able to pass that as a single parameter, like:   showRecords(xNew | xDeleted);   So, it seems I have three possible appoaches:  #define X_NEW      0x01 #define X_DELETED  0x02 #define X_MODIFIED 0x04 #define X_EXISTING 0x08   or  typedef enum { xNew = 1, xDeleted, xModified = 4, xExisting = 8 } RecordType;   or   namespace RecordType {     static const uint8 xNew = 1;     static const uint8 xDeleted = 2;     static const uint8 xModified = 4;     static const uint8 xExisting = 8; }   Space requirements are important (byte vs int) but not crucial. With defines I lose type safety, and with enum I lose some space (integers) and probably have to cast when I want to do a bitwise operation. With const I think I also lose type safety since a random uint8 could get in by mistake.  Is there some other cleaner way?  If not, what would you use and why?  P.S. The rest of the code is rather clean modern C++ without #defines, and I have used namespaces and templates in few spaces, so those aren't out of question either. Mathematical Basis behind inflation of Standard errors of Regression estimates due to multicollinearity We know that due to multi-collinearity, the standard errors of beta estimates get inflated. But what is the mathematical basis to it?   I am looking for some mathematical relationship or something to explain this.   Like I understand if standard error of betas goes up, then t-statistics goes down and we might not be able to reject the null or the variables would appear non-significant.   But what is the mathematical relationship between multicolllinearity and inflation in variance of coefficients? Does throwing a watch into the air cause it to gain or lose time? Suppose I'm on a non rotating planet. I have two identical, perfect watches. I synchronize them. Then I throw one of them into the air and catch it. Does the one I throw into the air gain or lose time with respect to the one I was holding? Show Kripke's model proving that the following formula isn't tautology in intuitionistic logic. $ \neg ( p \wedge q ) \implies (\neg p \vee \neg q) $  Please help/hint me ;) Removing small spaces (slivers) between polygons? What's the value of $\sum\limits_{k=1}^{\infty}\frac{k^2}{k!}$? For some series, it is easy to say whether it is convergent or not by the "convergence test", e.g., ratio test. However, it is nontrivial to calculate the value of the sum when the series converges. The question is motivated from the simple exercise to determining whether the series $\sum\limits_{k=1}^{\infty}\frac{k^2}{k!}$ is convergent. One may immediately get that it is convergent by the ratio test. So here is my question:     What's the value of $$\sum_{k=1}^{\infty}\frac{k^2}{k!}?$$ How to know the model has started overfitting? How do I convert an argument list to a sequence of arguments? Prove $kf(x)+f'(x)=0 $ when conditions of Rolle's theorem are satisfied . Prove that if $f$ is differentiable on $ [a,b]$ and if $ f(a)=f(b)=0$ then for any real $k$ there is an $ x \in (a,b) $such that $$kf(x)+f'(x)=0 $$  As all the conditions of Rolle's theorem are satisfied one can say that there is at least one  $c \in (a,b) $ such that $f'(c) =0$ How should I proceed furthur ? How can I use this to get to the required equation ? What does it mean if a Python object is "subscriptable" or not? Which types of objects fall into the domain of "subscriptable"? Is it possible to only allow specific packages updates from a PPA