Find $E(S)$ and $Var(S)$ of a mixture of distributions
Combining two covariance matrices
Spy from Earth studies Galactic Empire nobility and prevents plot to depose Emperor Order of product of two elements in an abelian group Assume   $$\lim_{n\to \infty}{x_ny_n}=0$$  then  $$\lim_{n\to \infty}{x_n}=0$$ or $$\lim_{n\to \infty}{y_n}=0$$  I couldnt find two series who disprove that.. just hint please thanks I've seen the  here before, as well as on many sites on the web.  I've also seen different info on what was covered.  I'm not a huge X-Men fan, but I do enjoy the characters and stories, so I know I'm probably missing out on a lot, and may have missed the obvious along the way because I didn't read a particular series or something like that.  I had a relative die from leukemia a few years ago and that reminded me of basic junior high science: that red and white blood cells are produced in the bone marrow and must be able to reach from the marrow into the blood vessels.  The leukemia my relative had was the kind where the "bad" cells would surround the marrow and prevent the new "good" blood cells from getting out to the rest of the body.  So just how much of Wolverine's skeleton is covered with Adamantium?  If it's the whole thing, there'd have to be openings for new red blood cells to get out if he is to remain alive.  I've never seen a reference to this issue, is it ever addressed?  That also raises another issue along the same line: Are hard to reach areas, such as ball and socket joints covered?  If not, then stress on other covered areas could be transferred to the weaker uncovered areas, which would lead to breakage there.  And if joints like that are covered, is there anything to say how it was done?  Are there openings or gaps in the Adamantium covering on his body?  Are there any references to any of these issues that deal with them? Near-universally applicable alternative to "sanity check" The phrase "sanity check" is  as it implies that there is something wrong with people who have mental illnesses and the word "sanity" has been used to discriminate against such people.  Therefore, it should should be avoided.  What is a better alternative in the context of software?  Example usage:     _: if this is not what it should be, we have memory corruption (a fatal   error) and should terminate the program. I have seen other similar questions but they don't seem to be what I want, please correct me if I'm wrong.  For simplicity: delete the default cube, NumPad7, add cylinder, rotate X 90, then add torus with ext/int 1/0.75 and raise it above the cylinder. It should look like this:.  What I want is to deform the torus against the cylinder, but make it as if it's a projection. This means that, when looked from above, it will look like a normal, undeformed torus (volume changes), but when viewed with NumPad1, it will look like a round-end tube following the curvature of the cylinder, while still having the same round cross-section. To make it worse, my object needs to be deformed by a more complex surface, such as sin(x).  If I'd use soft body, it will look shrinked when looking from above, i.e. it will preserve the volume. If I use shrinkwrap, it either does a projection with its circumference intact, but all flat, or it will project it (similar to what I want), but only the bottom side vertices, like a curtain.  Mesh modifier gets me nowhere since I have to manually tweak the surrounding mesh, and curve modifier also preserves the length/volume, while also squishing the section of the torus at the bending points.  My question(s): is there a way to project (mold) the torus onto the cylinder while preserving it's cross-section? Can this be extended for more complex meshes to be projected or to be projected on?    This is, roughly, what the side view (along Y axis in the 1st pic) would look like after the deforming of the torus:    The unselected shape above is the torus (as it is in the first picture), and the selected shape is what it would look like after the deform, or molding, whatever you want to call it.  And here is what it would look like when seen from above (top view, along Z axis)): i.stack.imgur.com/HVOCo.png (can't add more than 2 pics)  The view would be the same before and after the torus is deformed. How can I generate valid XML in C#? Due to my ignorance, I find that most of the references for mathematical analysis (real analysis or advanced calculus) I have read do not talk much about the "multivariate calculus". After dealing with the single variable calculus theoretically, it usually directly goes to the topic of measure theory.    After reading the wiki article "", I'd like to find the rigorous proof for this test. The first book comes to my mind is Courant's Introduction to Calculus and Analysis which includes the multivariate case in the second volume.   Motivated by this, I'd like to put the question here:     What are the usual references for the   theoretical treatment for   ? Why does the CAN bus use a 120 ohm resistor as the terminating resistor and not any other value? I know the reasons for using terminating resistors on a  and how important it is.  But why 120&nbsp;ohm? How did this value come up? Is there any specific reason to use 120&nbsp;ohm? How do I install wine? Labeling Multiple Equations Per Row of a Table I am trying to create a table with two columns of independently labelled equations (1-6). Unfortunately, everything I have found so far either has not worked or would number them as sub-equations (1a, 1b, etc).  My current attempt is:  \documentclass{article} \usepackage{graphicx, verbatim, tabularx} \usepackage{amsfonts} \usepackage{amsmath, amssymb}  \newcommand{\grad}{\vec{\nabla}}       \newcommand{\prtl}[2]{\frac{\partial #1}{\partial #2}}  \newcommand{\curl}{\grad\times} \begin{document}  \begin{tabular}{p{5cm}p{5cm}}  $\curl\vec{E} = -i\omega\mu\vec{H}$ &amp;   $\curl\vec{H} = i\omega\mu\vec{E}$ \\  \begin{equation}  \label{eq:curlHx}   \prtl{E_z}{y} +\gamma E_y= -i\omega\mu H_x  \end{equation}  &amp;  \begin{equation}  \label{eq:curlEx}    \prtl{H_z}{y} +\gamma H_y= i\omega\mu E_x  \end{equation}\\  \begin{equation}  \label{eq:curlHy}    -\prtl{E_z}{x} -\gamma E_x= -i\omega\mu H_y  \end{equation}  &amp;  \begin{equation}  \label{eq:curlEy}    -\prtl{H_z}{x} -\gamma H_x= -i\omega\mu E_y  \end{equation}  \\  \begin{equation}  \label{eq:curlHz}   \prtl{E_y}{x}-\prtl{E_x}{y} = -i\omega\mu H_z  \end{equation}  &amp;  \begin{equation}  \label{eq:curlEz}    \prtl{H_y}{x}-\prtl{H_x}{y} = -i\omega\mu E_z  \end{equation}  \end{tabular}  \end{document}   Is there an environment other than tabular that would make this work? Tabularx came close (got the numbering correct), but the formatting/spacing was horrific. hyperlink name with biblatex authoryear I am using biblatex with the authoryear styles.  So far I've been able to find everything I need easily in the excellent documentation, but I'm stuck on one thing.   With my current settings (below) citations only have the year hyperlinked to the bibliography entry. I think prior to using biblatex I would have the whole citation (authors + year) as a reference - I think this is easier to click etc. when browsing.  Is there an easy way to get this (or does it involve creating a new style).  \usepackage[style=authoryear,             bibstyle=authoryear,             citestyle=authoryear,             natbib=true,             hyperref=true,             backref=true,             abbreviate=true]{biblatex} How to execute a Matlab script from C++ What does $dx$ mean? $dx$ appears in differential equations, such us derivatives and integrals.  For example, a function $f(x)$ its first derivative is $\dfrac{d}{dx}f(x)$ and its integral $\displaystyle\int f(x)dx$. But I don't really understand what $dx$ is. What keeps mass from turning into energy? Was Stack Exchange named after Experts Exchange? Was Stack Exchange named after Experts Exchange, or is the former using the word "Exchange" a coincidence? How to create this curved 90-degree-angle quickly in -> inner  out -> outer / (outter?)  What is the history or set of rules behind why 'inner' doubles the 'n' but 'outer' doesn't double the 't'? How to prove $a_1^m + a_2^m + \cdots + a_n^m \geq \frac{1}{a_1} + \frac{1}{a_2} + \cdots + \frac{1}{a_n}$ How do I get a list of obsolete packages? I'm trying to figure out a way to get a list of the packages that are no longer available in the repositories that I have enabled. This workstation has been through quite a few versions of Ubuntu and has had many 3rd party repositories added and removed. I'd like to get a list of software that I have from these removed repositories, so I can clean it up or add back the appropriate repositories.