Something like  $$ A= \begin{bmatrix}     a &amp; b &amp; c\\     b &amp; d &amp; e\\     c &amp; e &amp; f \end{bmatrix} $$  would be a symmetric matrix because the values are reflected along the diagonal, and $A=A^\intercal$  Is there a name for a matrix that's symmetric along the cross diagonal? Something like  $$ B= \begin{bmatrix}     c &amp; b &amp; a\\     e &amp; d &amp; b\\     f &amp; e &amp; c \end{bmatrix} $$
I have a matrix which is kind of symmetrical with the other diagonal, i.e., something like  $$A = \left[ \begin{array}{c c c c}    a &amp; b &amp; c &amp; d \\    e &amp; f &amp; g &amp; c \\    h &amp; i &amp; f &amp; b \\    j &amp; h &amp; e &amp; a  \end{array} \right]$$  Does this matrix have a special name in literature? What are it's properties?  And a matrix that is symmetrical by both diagonals   $$A = \left[ \begin{array}{c c c c}    a &amp; b &amp; c &amp; d \\    b &amp; e &amp; f &amp; c \\    c &amp; f &amp; e &amp; b \\    d &amp; c &amp; b &amp; a  \end{array} \right]$$  What's the name of it? Any interesting properties?
says:     A humanoid killed by this spell rises at the start of your next turn as a zombie that is permanently under your command   If a player is hit by finger of death and dropped to 0hp, do they turn into a zombie immediately? If they subsequently fail death saves and die, do they then turn into a zombie? I have seen some users show a picture of their network profile on the profile tab. How can I add this for my own account? What (if any) countries are either open to or have set definitive plans to allow international tourism? I am trying to write a bash script for testing that takes a parameter and sends it through curl to web site.  I need to url encode the value to make sure that special characters are processed properly.  What is the best way to do this?    Here is my basic script so far:  #!/bin/bash host=${1:?'bad host'} value=$2 shift shift curl -v -d "param=${value}" http://${host}/somepath $@ biblatex - issue number of journal in date I didn't find the difference between them by  googling  Edit: Thx litterally, authenticate, means prove its identity, which is a just a subprocess of global access authorization btw I forgot to mention "Sign In", that's another confusing term for me ;)  Edit 2 other useful answers: How do you integrate $\int \frac{1}{a + \cos x} dx$? How do you integrate $\int \frac{1}{a + \cos x} dx$?  Is it solvable by elementary methods?  I was trying to do it while incorrectly solving a homework problem but I couldn't find the answer.  Thanks! Order of product of two elements in an abelian group For users running Java application or applets in the browser, what difference does it make running either Sun Java or OpenJDK?  EDIT  Oracle will be , and basing the proprietary implementation on OpenJDK. Can we expect similar experience in running Java apps using either OpenJDK or Oracle JDK? Algebraic proof of $\sum_{i=0}^k{{n \choose i}{m \choose {k-i}}}= {{m+n}\choose k}$ I can't figure out an algebraic proof for the following identity:  $$\sum_{i=0}^k{{n \choose i}{m \choose {k-i}}}= {{m+n}\choose k}$$  Combinatorical solution:  We can see that as choosing some from $n$ and the rest of $k$ from $m$, thus $k$ in total.  Or we could just choose $k$ from the union. I was watching the  tutorial by Andrew Price and I was able to follow along in Cycles until I hit the part where he mixes the day and night materials together so that the lights show up on the "dark side" of the earth.  How can I recreate this effect in cycles? I thought I could use the ray information to tell me if there was incoming light but I've found no such node to give me this information. Do a "git export" (like "svn export")? I've been wondering whether there is a good "git export" solution that creates a copy of a tree without the .git repository directory. There are at least three methods I know of:   git clone followed by removing the .git repository directory.  alludes to this functionality but starts with "Just read the desired tree into the index..." which I'm not entirely sure how to do.  is a third party script that essentially does a git clone into a temporary location followed by rsync --exclude='.git' into the final destination.   None of these solutions really strike me as being satisfactory. The closest one to svn export might be option 1, because both those require the target directory to be empty first. But option 2 seems even better, assuming I can figure out what it means to read a tree into the index. made me think about the movie versions of the 7th book.  In Deathly Hallows Part II      Voldemort has Nagini attack Snape because Voldy thinks that Snape has the Elder Wand's allegiance. We know that Snape didn't actually have the allegiance, Draco did (and by then Harry did) and his plan had failed.   But if Voldy's plan had succeeded with Snape, would he have gotten allegiance?      Since voldemort didn't kill Snape, Nagini did... Checkbox in listview control Can you have a multicolumn listview control where one of the columns is a checkbox?  Example code or links would be greatly appreciated.  I am using visual studio 2005 What's the 'Frequent' sort function? What is the function of the  sorting option on the Questions tab? Viewing computer screen through 3D glasses, why the asymmetry? The validation tab in your script tool properties allows you to put parameters in categories. The :     Put parameters in different categories. Categories are expandable   window shades with a collection of parameters.     I am using the categories to organize my parameters, so I don't care about the expandable/collapsible feature;  it just adds a lot of time to the user.  This is all within a normal toolbox, not a script toolbox.  v10.1    Does anyone know how to have these categories expanded by default?  Here is my only validation code.  I am only utilizing categories.  The other parts are the default.  def initializeParameters(self):     """Refine the properties of a tool's parameters.  This method is     called when the tool is opened."""     self.params[0].category = "General"     self.params[1].category = "General"     self.params[2].category = "Inudaciones"     self.params[3].category = "Cienegas"     self.params[4].category = "DrenajesPrincipal"     self.params[5].category = "DrenajesSensillos"     self.params[6].category = "Inudaciones"     self.params[7].category = "Cienegas"     self.params[8].category = "DrenajesPrincipal"     self.params[9].category = "DrenajesSensillos"     return Prove that $f(x)\in \mathbb{Z}[x]$ such that $f(0)$ and $f(1)$ are odd has no integer roots I understand that you have to have visas to enter some countries, but I was wondering whether you have to pay for each visa separately or you can get a visa to go everywhere. You see videos and lists on what you should pack to travel the world, but no lists on the documentation needed. Inverse images of images, images of inverse images of a set of vectors What can be said about$\ f^{-1}(f(S))$ and$\ S$, where$\ f(S):=\{f(x):x \in S\}$?   I feel as if$\ f^{-1}(f(S))$ will be smaller than or equal in size (number of elements) to$\ S$.  For example, if$\ f(x)=x$, then$\ f(\{-1, 0, 1, 2\})=\{-1, 0, 1, 2\}$and$\ f^{-1}(f\{-1, 0, 1, 2\})=\{-1, 0, 1, 2\}$ (same size).  But if$\ f(x)=x^2$, then$\ f(\{-1, 0, 1, 2\})=\{0, 1, 4\}$ and$\ f^{-1}(f\{0, 1, 4\})=\{0, 1, 2\}$, which is a little bit smaller than$\ S$.   What can be said about$\ f(f^{-1}(U))$ and$\ U$, where$\ f^{-1}(U):=\{x \in X:f(x) \in U\}$?   The same size as each other? Always??