Alias for Drupal "Sites" folder with Apache on Windows Server 2008
Why not use a WAMP stack?
Find the smallest disk in complex plane containing the eigenvalues of a matrix (NBHM 2012) Consider the given matrix  $$\left[\begin{matrix}1&amp; -2&amp; 3&amp; -2 \\1&amp; 1&amp; 0&amp; 3\\-1&amp; 1&amp; 1&amp; -1\\0&amp; -3&amp; 1&amp; 1&amp;\end{matrix}\right]$$  Find out the smallest disk like ($|z-1| &lt; r$ ) in the complex plane containing the eigenvalues of the given matrix.  One easiest method is to find out the eigenvalues from the characteristic equation of the matrix. I can do it so no problem with it.   I am looking for a method to solve the problem without the above method that can be evaluated in very short time. This type of method is possible, I believe.  Thank you for your help What is the difference between re.search and re.match? Our company would like to understand the effects:   If we have single table with Primary Key Identity column, int primary key IDENTITY(1,1),  and the Application is conducting multi-threading parallel processing, trying to conducts 1000s of simultaneous inserts on one table.   Would the identity primary key column fail, with a primary key violation in any way, for example: processors are trying to input the same identity number?  Or was SQL designed to be successful even in multithreading parallel insert?  Note: IDENTITY_INSERT is OFF $f(x)=x/1$ is not injective? I'm concerned about an app on my child's phone. I saw an app icon in the notification area that looked strange (Andy Android head, slightly tilted as its icon).  How can I find out what app it is from just having seen that icon in the notification bar? Unable to disable assignment rules I have a condition where I need to disable standard Lead Assignment Rules if certain criteria are met.   if(emailWithAccIdMap.containsKey(ledRec.Email) &amp;&amp; emailWithAccIdMap.get(ledRec.Email) != null &amp;&amp; !openOppMap.isEmpty() &amp;&amp; openOppMap.get(emailWithAccIdMap.get(ledRec.Email)) != null &amp;&amp; openOppMap.get(emailWithAccIdMap.get(ledRec.Email)).Owner.isActive ==true){                     ledRec.Status = 'Duplicate';                     System.debug('Changing the Status');                     //then assign the original lead owner to new lead owner                     ledRec.OwnerId = openOppMap.get(emailWithAccIdMap.get(ledRec.Email)).OwnerId;                     ledRec.Account_Name__c = openOppMap.get(emailWithAccIdMap.get(ledRec.Email)).AccountId;                     ledRec.Field_for_Lead_Workflow__c = true;                     Database.DMLOptions dmo = new Database.DMLOptions();                     dmo.assignmentRuleHeader.useDefaultRule = false;                     ledRec.setOptions(dmo);                     //since owner is assigned, it shouledRec not pass through round robin                     ledRec.checkAssignment__c = false;  }   This is my code snippet which is running on before insert. The control is entering the IF condition as the debug statement is getting printed. Yet, the owner assigned through this snippet is being overridden by the assignment rules.  I also tried executing this in after insert trigger context but it did not work. Can somebody tell me what I'm doing wrong? Alternating sum of binomial coefficients: given $n \in \mathbb N$, prove $\sum^n_{k=0}(-1)^k {n \choose k} = 0$ Let $n$ be a positive integer. Prove that   \begin{align} \sum_{k=0}^n \left(-1\right)^k \binom{n}{k} = 0 . \end{align}   I tried to solve it using induction, but that got me nowhere. I think the easiest way to prove it is to think of a finite set of $n$ elements, but I can't find the solution. Is circular reasoning always a fallacy? Is there any hint that the MoM or anywhere else got support in combating voldemort the first time around? Or is everything completely UK-centric?  I can't remember anyone in the second war being specifically sent from europe to help, even though we see international wizards in book 4. But I don't think all the events of the first war are covered in the books.  So are other bodies like the MoM involved in the first war, or was it isolated in the UK? Prove: $\displaystyle\sum_{k=1}^n k k!=(n+1)!-1$ (preferably combinatorially)   It's pretty easy to think of a story for the RHS: arrange $n+1$ people in a row and remove the the option of everyone arranged to height from shortest to highest, but it doesn't hold up for the LHS.   Alternatively, trying to visualize the LHS, I noticed that it's like a right angle tetrahedra:  1  2!+2!  3!+3!+3!  ...  But it doesn't help to see a connection to the RHS.  Note: no integrals or gamma function nor use of other identities without proving them nor generating functions. How to write below bullet I have to write something under the symbol \bullet in Latex. Is it possible? I'm using the class beamer. Here it is an example of a frame:  \begin{frame} \begin{itemize} \item&lt;1-&gt; Products Market\mbox{}\\ \footnotesize{where $p_{i,t}=u_{i,t}$, with $u_{i,t}\sim u[0,2]$} \vspace{0.5cm} \item&lt;2-&gt; Credit Market \mbox{} \vspace{0.2cm} \\ \footnotesize{where \hspace{0.1cm} $\bullet_{bank} \xrightarrow{loan} \bullet$} \vspace{0.5cm} \item&lt;3-&gt; Interbank Market\mbox{} \vspace{0.08cm} \\ \footnotesize{where \hspace{0.1cm} $\bullet \xrightarrow{loan} \bullet$} \end{itemize} \end{frame}   In particular I want to write "bank" under the bullet, while now it is only in subscript.  Thanks How to zero out a drive? Why is defragmentation unnecessary? Give $a, b. c$ be the lengths of a triangle and $a+ b+ c= 3$. Prove that: $$\frac{a}{b}+ \frac{b}{c}+ \frac{c}{a}\geq  \frac{1}{a}+ \frac{1}{b}+ \frac{1}{c}$$ My try  We have England MO inequality: $$\left ( \frac{a}{b}+ \frac{b}{c}+ \frac{c}{a} \right )^{2}\geq  \left ( a+ b+ c \right )\left ( \frac{1}{a}+ \frac{1}{b}+ \frac{1}{c} \right )$$  and $$\frac{a}{b}+ \frac{b}{c}+ \frac{c}{a} \geq  3=  a+ b+ c$$  But it cannot be used to prove the above inequality and how to use triangle inequality in this inequality. I need the help. Thanks! Windows Managers vs Login Managers Vs Display Managers Vs Desktop Environment I posted a  and noticed people weren't distinguishing correctly between many of these things: Windows Managers vs Login Managers Vs Display Managers Vs Desktop Environment.  Can someone please clear this up, i.e. tell us the difference between them and how they are related perhaps?  What category does Xorg fall under?  What about Gdm/Kdm/Xdm?  People also talk about X.  What is X? How to change "to" to "-" while displaying start and end date in views? I'm searching for a template which makes a document look like it's written with a real typewriter. Ideally, this means it's not only in mono-spaced font, but the hyphenation is adjusted accordingly. Also, some randomness would be nice (e.g. some characters more bold than others), so that it looks more natural. Proof by induction that $2 + 4 + 6 + \cdots + 2n = n(n+1)$ How is double negation interpreted in English? In my native language, double negations "cancel out". I have been trying to learn English using movies and such things, but double negation confuses me. I see instances when double negation cancels out, and some when they do not.  For example, "I haven't got no money" is interpreted as "I have no money." "There wasn't anyone who didn't enjoy the party" is interpreted as "Everyone enjoyed the party."  Is this context dependent? If so, how does one decide which interpretation is correct? System.currentTimeMillis() vs. new Date() vs. Calendar.getInstance().getTime() In Java, what are the performance and resource implications of using  System.currentTimeMillis()    vs.   new Date()    vs.   Calendar.getInstance().getTime()   As I understand it, System.currentTimeMillis() is the most efficient. However, in most applications, that long value would need to be converted to a Date or some similar object to do anything meaningful to humans.