Would several withdrawals (W) affect my chances at graduate school admission
How do some Ws on transcripts affect PhD admissions in mathematics?
How to read from two input files using while loop What does active mean? number of edges induction proof Proof by induction that the complete graph $K_{n}$ has $n(n-1)/2$ edges.   I know how to do the induction step I'm just a little confused on what the left side of my equation should be. $E = n(n-1)/2$  It's been a while since I've done induction. I just need help determining both sides of the equation. pgfplots -> contour gnuplot with lualatex instead of pdflatex How to plot a graph from its adjacency matrix and coordinates of vertices? A similar question is . If we give all the data of the vertices's coordinates and the graph's adjacency matrix, how to plot it with tikz, pstrick or other tool in tex?   here are the data of adjacency matrix and coordinates  Coordinates:{{0.809,0.588},{0.309,0.951},{-0.309,0.951},{-0.809,0.588},{-1.,0.},{-0.809,-0.588},{-0.309,-0.951},{0.309,-0.951},{0.809,-0.588},{1.,0.}}  Adjacency matrix: {{0,1,0,0,1,0,1,0,0,1},{1,0,1,0,0,1,0,1,0,0},{0,1,0,1,0,0,1,0,1,0},{0,0,1,0,1,0,0,1,0,1},{1,0,0,1,0,1,0,0,1,0},{0,1,0,0,1,0,1,0,0,1},{1,0,1,0,0,1,0,1,0,0},{0,1,0,1,0,0,1,0,1,0},{0,0,1,0,1,0,0,1,0,1},{1,0,0,1,0,1,0,0,1,0}}   Sometimes the number of data is too large to put the data in the main tex file. It would be better to import the data from external files. . Placing nodes midway on paths using |- or -| in tikz I make frequent use of |- and -| with computed points in diagrams, like so:  \coordinate (a) at (0,0); \foreach \x in (1,...,10) {     \coordinate (b) at ({whateverFunction(\x)},{whateverOtherFunction(\x)});     \draw (a) |- (b); %Straight line segment     \draw (b) -| (a); %Another straight line segment     \coordinate (a) at (b); }   To get plots like:   I would like to be able to label the midpoint of each line segment, but doing something like node[midway,above] {a} does not act like expected:    I want something like:    Why does midway not work, and what is a good workaround here? What is the purpose of a self executing function in javascript? In javascript, when would you want to use this:  (function(){     //Bunch of code... })();   over this:  //Bunch of code... I know that matrix multiplication in general is not commutative. So, in general:  $A, B \in \mathbb{R}^{n \times n}: A \cdot B \neq B \cdot A$  But for some matrices, this equations holds, e.g. A = Identity or A = Null-matrix $\forall B \in \mathbb{R}^{n \times n}$.  I think I remember that a group of special matrices (was it $O(n)$, the ?) exist, for which matrix multiplication is commutative.  For which matrices $A, B \in \mathbb{R}^{n \times n}$ is $A\cdot B = B \cdot A$? Get OS-level system information How can I delete my account? How can I delete my Stack Exchange account(s)? Also,  What happens to my content? Can I request it be deleted as well? What if I'm suspended, rate-limited, or banned from posting questions or answers? What will happen to my votes? Will other users be impacted? Why wasn't my account deleted immediately after the timer expiring? What will happen to my pending bounties and close, reopen, delete, or undelete votes? I want my account deleted on all Stack Exchange sites. How do I do this? Will my profile on chat be removed once I delete my site account?   For more information, see &quot;&quot; in the . Can multiple render systems be used? I was watching a tutorial how to design an island in Blender, which worked really great, but i didn't want to use the .png Trees the guy used there. So i watched another tutorial and created another kind of tree - without knowing that the object isn't just modeled in Cycles Render, it is also rendered in there.  My problem is either the (lets say "simple" textured) island (rendered in Blender render) or the tree is shown. Is there any way i can "convert" that cycles object (with its shaders) to Blender Render or the other way around? Or just render with two renders in one project? I haven't found something about that til now. If there is no universal solution for that, i could also put a link to my project in here. Number of elements in a finite $\sigma$-algebra I have an idea or subject that should have a Q&amp;A, and want to propose a new site. How can I do this?  Related: As per c99 standard, size of long long should be minimum 64 bits. How is this implemented in a 32 bit machine (eg. addition or multiplication of 2 long longs). Also, What is the equivalent of long long in C++. get values from ANY type Object Iterating each character in a string using Python In C++, I can iterate over an std::string like this:  std::string str = "Hello World!";  for (int i = 0; i &lt; str.length(); ++i) {     std::cout &lt;&lt; str[i] &lt;&lt; std::endl; }   How do I iterate over a string in Python? The result of ls * , ls ** and ls *** I know using the command ls will list all the directories. But what does the ls * command do ? I used it and it just lists the directories. Does the star in front of ls mean how deep it will list the directories? For any triangle with sides $a$, $b$, $c$, show that $a^2b(a-b)+b^2c(b-c)+c^2a(c-a)\ge 0$ How to change row color based on a single cell's value? Possible Duplicate:          I have a spreadsheet where I have cell within a row that will contain specific text via data validation. So for instance a cell could contain the text "Due in 7 Days", "Past Due", or "Closed".  I want the row color to change depending on the text that appears in the cell. So if the text "Past Due" appears in the cell I want that entire row to turn red, if "Due In 7 Days" appears the row should turn yellow, and if "Closed" the row would turn gray.  How can I do that? I'm trying to factorise $$ x^3z - x^3y - y^3z + yz^3 + xy^3 - xz^3 $$ into four linear factors.  By plugging it into WolframAlpha I've learned that it's $$-(x-y)(x-z)(y-z)(x+y+z)$$  My question is: what are the steps involved in factorising the expression? Is there a method I don't know about that I'd have access to with my limited maths?  Really appreciate any help!