How to make a series of step-by-step figures has a fixed position on every beamer frame? Some frames have texts describing steps on the associated figure. I want to make the figures still fixed in position no matter there is a description text.  \documentclass{beamer} \setbeamertemplate{navigation symbols}{}  \usepackage{pst-eucl} \psset{PointName=none,PointSymbol=none} \newpsstyle{helper}{linewidth=.5\pslinewidth,linecolor=red,arcsep=-1}  \begin{document} \begin{frame}{Problem No. 2} \only&lt;1&gt;{Draw the $x$ axis.} \only&lt;2&gt;{Draw a line at angle $45^\circ$.} \only&lt;3&gt;{Draw an arc of radius 2 intersecting both lines.} \begin{pspicture}[showgrid=false](-5,-1)(7,5)     \pnodes(0,0){O}(5,0){X}(4;30){A'}     % x-axis     \only&lt;1-&gt;     {         \psline(X)         \uput[-135](O){$O$}         \uput[-45](X){$X$}     }     % vector A     \only&lt;2-4&gt;{\psline[style=helper](A')}     \pstInterLC[Radius=\pstDistVal{2}]{O}{X}{O}{}{I1}{I2}     \pstInterLC[Radius=\pstDistVal{2}]{O}{A'}{O}{}{J1}{J2}     \only&lt;3-4&gt;{\pstArcOAB[style=helper]{O}{I2}{J2}}     \only&lt;4-5&gt;{\psline{-&gt;}(O)(J2)}     \only&lt;5-&gt;{\uput[90](J2){$A$}} \end{pspicture} \end{frame} \end{document}   As you can see from the following animation, the current result shows the figures move up and down. How to fix it?
Avoiding jumping frames in beamer Sometimes I want an element on a frame to change in steps. I do this by  \only&lt;2&gt;{   ...   }   \only&lt;3&gt;{   ...   }     etc.  But this causes the frame to jump due to different sizes of the included content. How can this be avoided?
How to find normal and lognormal moments, given partial information? $Y=\ln(X)$. $X$ is lognormal and $Y$ is normal. If all I know is the arithmetic mean of $Y$ and the standard deviation of $X$. What is the formula to calculate the arithmetic mean of $X$ and the standard deviation of $Y$? biblatex – et al. beginning from second citation? Basically all I need to know is how I can use "et. al" beginning from the second citation of a source. I am using the following  \usepackage[ natbib=true, style=authoryear ]{biblatex}   I need citations to look like this:  First citation of a source     Drobetz, Schillhofer, and Zimmermann (2004)   Second and further citations     Drobetz et al. (2004)   Right now, every citation looks like the first one. With the biblatex option maxcitenames I can only adjust all citations and not all but the first one. Any help? Right identity and Right inverse implies a group Proof of $(A - B) - C = A - (B \cup C)$ I have several of these types of problems, and it would be great if I can get some help on one so I have a guide on how I can solve these.  I tried asking another problem, but it turned out to be a special case problem, so hopefully this one works out normally.   The question is:  Prove $(A - B) - C = A - (B \cup C)$  I know I must prove both sides are not equivalent to each other to complete this proof. Here's my shot: We start with left side.   if $x \in C$, then $x \notin A$ and $x \in B$. So $x \in (B \cup C)$ So $A - (B \cup C)$   Is this the right idea? Should I then reverse the proof to prove it the other way around, or is that unnecessary? Should it be more formal?  Thanks! I keep running into areas where I see a chest in a section of the room that seems completely walled-off. Is there any way to get to these, or is that just the randomly generated dungeon being a tease?  I had to splice two screenshots together to show an example of what I'm talking about:   Is there any way to get in there? Have Google index different languages at the same URL instead of just the default (English) I have a multilingual PHP site. I have set English as the default language.  The language changes automatically according to the browser settings. If it is French, the site will be seen in French.  However in the Google search results, even if I have the browser in French, the English language appears in the results. How can I fix that?  To be clear I don't want to use subdomains or URLs like www.example.com/fr/. I would like it to work like Facebook. 'This post has been deleted' appears above the flag bar Is there a C++ decompiler? I have a program in which I've lost the C++ source code.  Are there any good C++ decompilers out there?  I've already ran across . Occasionally, you can see little tufts of leaves blowing in spots on the map      Do these mean anything? Reviewed suggested edit view for title-only edits takes body of last revision? Yesterday I was pointed at some rejected suggested edits. Some of the corrections were valid, so I edited the posts accordingly, while making several further edits. Looking at the suggested edits now however, it seems that for those posts where only changes to the title were originally suggested, the post mortem suggested edit view now incorporates the body of the latest revision. (Or at least it appears like that to me)  Take for example . If you take a look at  of that post, you will see my later edits. The edited body seems to have been incorporated in the suggested edit view. For edits where originally changes to the body were suggested, there is no such confusion.   Why does this matter? In the case of some post mortem discussions or explanations it might help to see the actual situation as it was when the edit was suggested. Especially in the case of edits that might be considered too minor.   So have I stumbled upon a bug here? Why are all snaps being mounted and listed as block devices or partitions for Ubuntu 18.04? As of Ubuntu 18.04 running lsblk shows 16 snap loops (2-3 times for each snap). The question is, why are they being listed as results for lsblk, fdisf-l, and blkid?    It creates a lot of clutter from the actual disks drive partitions I need to see, namely /dev/ partitions. I know a purported duplicate of this question exists, but it only asks why three loops are being listed per snap. I want to know why these snaps are being listed in the first place, and the purported duplicate does not answer this (perhaps those marking this as duplicate could help me by explaining why it is a duplicate). Technically, they qualify as file systems (which I neither created nor asked for), but they are getting in the way of the information output for the /dev/ partitions I am interested in. This becomes a problem when fdisk -l outputs a three page+ list filled mainly with snaps.  The output of a recent (1 week old) Ubuntu install and I have not installed any snaps:    $ lsblk   NAME   MAJ:MIN RM   SIZE RO TYPE MOUNTPOINT   loop0    7:0    0  14.5M  1 loop /snap/gnome-logs/37   loop1    7:1    0   2.3M  1 loop /snap/gnome-calculator/170   loop2    7:2    0  86.6M  1 loop /snap/core/4486   loop3    7:3    0  86.6M  1 loop /snap/core/4650   loop4    7:4    0   1.6M  1 loop /snap/gnome-calculator/154   loop5    7:5    0  14.5M  1 loop /snap/gnome-logs/34   loop6    7:6    0   3.3M  1 loop /snap/gnome-system-monitor/36   loop7    7:7    0   2.3M  1 loop /snap/gnome-calculator/178   loop8    7:8    0    13M  1 loop /snap/gnome-characters/101   loop9    7:9    0   3.7M  1 loop /snap/gnome-system-monitor/45   loop10   7:10   0 139.5M  1 loop /snap/gnome-3-26-1604/64   loop11   7:11   0   140M  1 loop /snap/gnome-3-26-1604/59    loop12   7:12   0   3.7M  1 loop /snap/gnome-system-monitor/41   loop13   7:13   0    21M  1 loop /snap/gnome-logs/25   loop14   7:14   0  12.2M  1 loop /snap/gnome-characters/69   loop15   7:15   0    13M  1 loop /snap/gnome-characters/96   sda      8:0    0 298.1G  0 disk   ├─sda1   8:1    0   512M  0 part /boot/efi   └─sda2   8:2    0 297.6G  0 part /   sr0     11:0    1  1024M  0 rom     (supplemental screen capture of above text):     My snap list shows 6 results:       core   gnome-3-26-1604   gnome-calculator   gnome-characters   gnome-logs   gnome-system-monitor     Meanwhile, gnome-disk-utility shows nothing at all for snaps, only showing my HDD and optical drive.    It won't be very efficient if every installed snap gets listed as a block device (2-3 times each to add). Should I expect future updates to deal with this?  Edit: fdisk-l also dumps out a very long list with 16 instances of these "disk loops" (Disk /dev/loop0, Disk /dev/loop1, etc., each with details which I won't show here because it's too long). This can't be intended behaviour, can it? blkid also lists 16 loops, as TYPE="squashfs". At least parted -l works as expected, only outing my actual disk partitions.    I just tested this, and installing more snaps does add more to the lsblk output. Therefore, fdisk, lsblk, blkid could have potentially huge output lists, according to the number of snaps available, and installed. Usually \label does not create any white spaces. However, It creates an white space when \label is used after \phantomsubcaption from subcaption package.   Why? How can I get rid of this white space?   Here is a MWE:  \documentclass{article} \usepackage{subcaption}  \begin{document}  \section{a} a\label{sec:a}b% no white space between `a' and `b'  \begin{figure}   \centering   {a\phantomsubcaption\label{fig:a}}%   {b\phantomsubcaption\label{fig:b}}   \caption{With label}% undesired white space between `a' and `b' \end{figure}  \begin{figure}   \centering   {a\phantomsubcaption}%   {b\phantomsubcaption}   \caption{Without label}% no white space between `a' and `b' \end{figure}  \end{document} Keep sharp edges when using subdivision surface How can I use the subdivision surface modifier to create more high poly meshes without ruining sharp edges? For example this mesh  The sphere should be subdivided but the rim of the cylinder should stay the same because it is a sharp edge. This is the result of the subdevision  How can I get sharp edges to not be affected by the sub surf mod? How to remove a USB drive without worry if its been unmounted? Suppose $\displaystyle a_n=\frac{1}{(\text{log}2)^p+(\text{log3})^p+...+(\text{log}n)^p}$ for $n\geq 2$ and $p&gt;0$. For which values of $p$ does $\sum_{n=2}^\infty a_n$ converge?  So, when $p\leq 1$, $\displaystyle a_n\geq \frac{1}{(n-1)(\text{log}n)^p}$ for $n\geq 2$. Let $\displaystyle b_n=\frac{1}{(n-1)(\text{log}n)^p}$. Then $\sum b_n$ diverges since $p\leq 1$. Therefore by comparison test $\sum a_n$ diverges when $p\leq 1$.  When $p&gt;1$, $\displaystyle a_n\leq \frac{1}{(\text{log}n)^p}$. Let $\displaystyle c_n= \frac{1}{(\text{log}n)^p}$. If $\sum c_n$ converges then I will win. But now I am stuck. Is $\sum c_n$ converges? Then how can I prove it? If not how can I conclude the state of convergence of $\sum a_n$ for $p&gt;1$?   Can anybody please help? This or That person Today I heard a speaker use the phrase "this person", referring to the subject-person of the story they were telling, and I heard it as (that person). Between the words “this” or “that” in context with the phrase and story-tense, which should you use. I want to put a link to my SO profile on my homepage. I remember a codesnippet i saw somewhere that would basically display my Username and my reputation. Where was that? Does there exists an entire function such that for each $|z|>C$ for some constant $C$, $|f(z)|=|z|+1$? Repeating something with (1/n)th chance of success n times Is there anything that can be said about how many attempts it will take to correctly guess a random number out of 1000 numbers? If the number wouldn't change the probability would just increase every guess, giving in the end a probability of 1.  If the number changes every guess tough, you just have a 1/1000th chance everytime. Can it be calculated how many attempts it would probably take, on average?  (I'm sorry, i'm not very skilled in probability maths) Ampere's law and external currents In Ampere's law, the current outside the curve taken is not included in the expression. Does it mean that the magnetic field calculated by using the law gives the contribution of only the currents crossing the area bounded by the curve?