cant run php file
PHP script not executing on Apache server
I'm trying to prove the following statements.  Let $G$ be a finite abelian group $G = \{a_{1}, a_{2}, ..., a_{n}\}$.   If there is no element $x \neq e$ in $G$ such that $x = x^{-1}$, then $a_{1}a_{2} \cdot \cdot \cdot a_{n} = e$.   Since the only element in $G$ that is an inverse of itself is the identity element $e$, for every other element $k$, it must have an inverse $a_{k}^{-1} = a_{j}$ where $k \neq j$. Thus $a_{1}a_{1}^{-1}a_{2}a_{2}^{-1} \cdot \cdot \cdot a_{n}a_{n}^{-1} = e$.   If there is exactly one $x \neq e$ in $G$ such that $x = x^{-1}$, then $a_{1}a_{2} \cdot \cdot \cdot a_{n} = x$.   This is stating that $x$ is not the identity element but is its own inverse. Then every other element $p$ must also have an inverse $a_{p}^{-1} = a_{w}$ where $p \neq w$. Similarly to the first question, a rearrangement can be done: $a_{1}a_{1}^{-1}a_{2}a_{2}^{-1} \cdot \cdot \cdot xx^{-1} \cdot \cdot \cdot  a_{n}a_{n}^{-1} = xx^{-1} = e$. And this is where I am stuck since I proved another statement.    Any comments would be appreciated for both problems. caching JavaScript files Which is the best method to make the browser use cached versions of js files (from the serverside)? CPU on Ubuntu running high In the terminal I used "top" to check the processes and how much of the CPU was being used as I thought max was 100%, so I restored 292,000 photos with recoverjpeg on my sda1 HDD, I opened the folder and the Nautalis is  fluctuating between 130% and 170% , should I close the program and am I at risk of my gpu locking up ? Is there a name for this layout? I have the following code:  Using cmd As SqlCommand = Connection.CreateCommand     cmd.CommandText = "UPDATE someTable SET Value = @Value"     cmd.CommandText &amp;= " WHERE Id = @Id"     cmd.Parameters.AddWithValue("@Id", 1234)     cmd.Parameters.AddWithValue("@Value", "myValue")     cmd.ExecuteNonQuery End Using   I wonder if there is any way to get the final SQL statment as a String, which should look like this:  UPDATE someTable SET Value = "myValue" WHERE Id = 1234   If anyone wonders why I would do this:   for logging (failed) statements for having the possibility to copy &amp; paste it to the Enterprise Manager for testing purposes Subfiles failing with custom class How to sync bookmarks across Google Chrome and Mozilla Firefox bookmarks? Mouse gestures for Unity desktop Cortana Search is not finding applications on Windows 10 For the past several versions (since Windows Vista, I think), if you hit the Windows key and start typing, Windows will search for applications.  Since upgrading to Windows 10 with , she is only hit or miss at finding applications. And she doesn't do partial searches, either.  Some examples:   WinKey + type "Paint" does not find "mspaint". Instead it suggests some applications from the store. WinKey + type "Excel" does not find Excel. Nor does typing "Word" find Word. However, typing OneNote finds OneNote.   What is the reason for this behavior and how I can get Cortana to find the applications installed on my machine again? Is there a setting I am missing?    If I browse to "C:\ProgramData\Microsoft\Windows\Start Menu\Programs" I can see that the shortcuts for these applications all still exist. But Cortana is not finding them. Everything from the Microsoft Office applications to  to  to hundreds of other applications I have installed.  Where can I set which folders Cortana indexes?    As you can see in the screen shot below, this Start Menu folder is, indeed, indexed:    However, none of these applications are coming back as search results from the "start" menu.  It may be related to  as well.  I did a brand new install of Skype (for desktop), and it shows up nowhere in the start menu. And typing in "Skype" to search for the application does not find it. But the shortcut to Skype is definitely in this location:  C:\Users\Patrick\AppData\Roaming\Microsoft\Windows\Start Menu\Programs\Skype     EDIT  The latest Windows 10 update (Threshold 2) has solved this issue for me. Cortana now finds all my files with no issues. Previously my only solution was to use , I've been able to uninstall that now and use the standard Windows Start menu. How to model the bottle threads? The picture show the threads I want to create on the highlighted object. Problem is I don't know how and tutorials really haven't helped much as most of them seem to be about creating a bolt. So I was hoping I could get some help on how to do this efficiently.While keeping the top flat like a water bottle. The picture shows the threads I'm after. About number truncation of ticks display in ListPlot jQuery/JavaScript to replace broken images How to insert a very large number of records into a MySql database as fast as possible How to upload string as file with jQuery or other js framework Question: For every polynomial $P(x)$ of degree at n we have $$\sum_{i=0}^{n+1}(-1)^i\binom{n+1}{i}P(i)=0$$  Well I was inducting on degree of the polynomial, for $n=0$ its true and I got a bit confused in the inductive step, actually I cant figure the inductive step.   Is this property (if true) a famous one?  Thank you for your help. 32 bit or 64 bit OS on a 512 mb VPS? In the answer , the parser breaks my URL link.  The URL was with __word__:      http://www.open-mpi.de/projects/hwloc/doc/v1.2/group__hwlocality__membinding.php#gade5e2c28ea8475a479bf2b1df36c6ccd   After parsing, it becomes (&lt;a href is broken; no clickable link):  hwlocality_membinding.php#gade5e2c28ea8475a479bf2b1df36c6ccd"&gt;http://www.open-mpi.de/projects/hwloc/doc/v1.2/group_hwlocality_membinding.php#gade5e2c28ea8475a479bf2b1df36c6ccd   Short test:  http://example.com/_test_ -> test"&gt;http://example.com/test  Or if I put in a naked URL with _test_ just here: Record Animation In BGE If $G$ has no proper subgroup, prove that $G$ is cyclic of order $p$, where $p$ is a prime number.     I know that since $G $is a group with no proper subgroups, $g \in G$ is not just the identity. I don't know where to go from there. My recipe for hummus says to cook the garbanzo beans with a little baking soda to soften them. Does this work with other legumes?   I've often seen the advice against salting the cooking water for beans, as it supposedly toughens them. Will a different sodium compound, bicarbonate, have the opposite effect?   Would love to know the science of this issue.