Let $s_i=a_1+a_2+\dots+a_n$ diverge, does $\sum_{i=1}^\infty\frac{a_i}{s_i^2}$ converge?
Convergence of $\sum \frac{a_n}{S_n ^{1 + \epsilon}}$ where $S_n = \sum_{i = 1} ^ n a_n$
When should "no problem" replace "you're welcome" as a response to "thank you"? What does the draft mode change? I've already installed Steam, but when I click on the program I get this message  ERROR- You are missing the following 32-bit libraries, and Steam may not run: not   I don't know what to install or even do. How do I report a bug? I found a problem with an application on Ubuntu.   Questions :   How do I best report the issue?  What sort of information should I provide? Will Area 51 be supported in the app? Quoting in ssh $host $FOO and ssh $host "sudo su user -c $FOO" type constructs I often end up issuing complex commands over ssh; these commands involve piping to awk or perl one-lines, and as a result contain single quotes and $'s.  I have neither been able to figure out a hard and fast rule to do the quoting properly, nor found a good reference for it.  For instance, consider the following:  # what I'd run locally: CMD='pgrep -fl java | grep -i datanode | awk '{print $1}' # this works with ssh $host "$CMD": CMD='pgrep -fl java | grep -i datanode | awk '"'"'{print $1}'"'"   (Note the extra quotes in the awk statement.)  But how do I get this to work with, e.g. ssh $host "sudo su user -c '$CMD'"?  Is there a general recipe for managing quotes in such scenarios?.. Should I always disconnect event handlers in the Dispose method? Math contest integer triplet problem: $x + y + z + xy + yz + xz = xyz − 1$ Can any one help me with this?  Determine all integer triples $(x,y,z)$ such that $1 ≤ x ≤ y ≤ z$ and $x + y + z + xy + yz + xz = xyz − 1$.  I thought of Vieta's formula but don't let me lead you into a dead end. Suppress a biblatex field in only one of split bibliographies? I am aware of \clearfield, \clearlist etc (cf. ) - but I'm really not sure how to apply it in this context:  Say you have a split bibliography (i.e. several calls to \printbibliography in one document). How can you filter a specific field in a bibliography item - but only in one bibliography (i.e. only in one call to \printbibliography)?  For instance, in the MWE below (compiles with pdflatex test.tex &amp;&amp; biber test &amp;&amp; pdflatex test.tex &amp;&amp; pdflatex test.tex), let's say I'd like to filter urldate (i.e. urldate is not typeset) only in the first bibliography - but for the second one, the original/default behavior should be restored (i.e. urldate is typeset). How to I do that?  \documentclass{article} \usepackage{filecontents} \begin{filecontents*}{\jobname.bib} @online{ctan,   title        = {CTAN},   date         = 2006,   url          = {http://www.ctan.org},   subtitle     = {The Comprehensive TeX Archive Network},   urldate      = {2006-10-01},   label        = {CTAN},   langid       = {english},   langidopts   = {variant=american}, } @misc{google,   title        = {Google},   date         = 2007,   url          = {http://www.google.com},   urldate      = {2007-10-01}, } @misc{hotmail,   title        = {Hotmail},   date         = 2008,   url          = {http://www.hotmail.com},   urldate      = {2008-10-01}, } @misc{yahoo,   title        = {Yahoo},   date         = 2009,   url          = {http://www.yahoo.com},   urldate      = {2009-10-01}, } @misc{aol,   title        = {AOL},   date         = 2010,   url          = {http://www.aol.com},   urldate      = {2010-10-01}, } @misc{altavista,   title        = {AltaVista},   date         = 2011,   url          = {http://www.altavista.com},   urldate      = {2011-10-01}, } \end{filecontents*} \usepackage[utf8]{inputenc} \usepackage[backend=biber,defernumbers=true,style=ieee]{biblatex} \bibliography{\jobname}  \begin{document}  \section{Section 1} \begin{refsection}  Citing some stuff here: first \cite{ctan}, then \cite{google}, and finally \cite{hotmail}.  \printbibliography[sorting=none,section=\therefsection,resetnumbers=true]  \end{refsection}  \section{Section 2} \begin{refsection}  Citing some stuff here: first \cite{yahoo}, then \cite{aol}, and finally \cite{altavista}.  \printbibliography[sorting=none,section=\therefsection,resetnumbers=true]  \end{refsection}  \end{document}   Output: Is Python/ArcPy capable of delimiting strings with commas into different fields, and running a calculation based on those separate columns Using ArcGIS ArcMap 10.6: I have a text field in an attribute table that has comma separated values (example: 12,24, 64, 87,29). For this example, I will name this field VALUES. Please note that VALUES includes data collected from field work so the spacing between commas will be varied. My current workflow is as followed:  Export the ID and VALUES fields in the attribute table into a .csv file using Table to Table in ArcMap 10.6 Open the .csv in Excel and run the 'text to columns' function under the Data ribbon Separate the VALUES field into multiple columns based on commas Run the calculation: Copy Column I values and ID columns into a new .csv file Save and close the new .csv file and join the shapefile to the new .csv file based on ID Export the newly joined shapefile into a new file and delete the duplicate ID field in the new shapefile  I am wondering if there is a way to automate this Python/ArcPy so I can create a custom script tool to do this without leaving the ArcGIS environment. Is there a way to separate values in a text field based on commas into different columns, run the above calculation, and have the values from that calculation entered in a new field named VALUES_CALCULATED? What is the difference between a telephoto lens and a zoom lens? Looking at the , I notice a distinction between telephoto lens and zoom lens.  What is the difference between the two?  Why would I want one over the other?  I  but remain confused about this distinction.  Please talk to me like I'm stupid. :) I am hoping for a completely lay explanation.  In particular, I'd like to understand in what situations I'd use a telephoto lens, and in what (other) situations I'd use a zoom lens. My change password interface is not working on java eclipse web application how to show image in table cell through json parsing Square roots of integers and cyclotomic fields For every $ N \in \mathbb Z$ there exists an integer $n$ such that $ \sqrt N \in \mathbb Q(\zeta_n)$.   I am struggling where to start this question, please suggest me few hints. All of my Firefox extensions were spontaneously and simultaneously disabled (converted to Legacy status) a few moments ago.  How can I re-enable them? Firefox 66.0.3 (64-bit) I am already a little bit familiar with Linux distros like Debian or Ubuntu (yeah, very similar) but I wanted to try Red Hat based - CentOS 6.2. I have installed it on my Windows 7 host in VirtualBox and tried to play with it a little. I have come across a small problem, namely: the default eth0 interface is down by default. I use the option with NAT (the virtual machine is 'behind' the host). Even if I bring the interface up with ifconfig eth0 up, it does not work right away. I get this after bringing the interface up: eth0      Link encap:Ethernet  HWaddr 08:00:27:0F:00:8A           inet6 addr: fe80::a00:27ff:fe0f:8a/64 Scope:Link           UP BROADCAST RUNNNING MULTICAST MTU:1500 Metric:1           RX packets:0 errors:0 dropped:0 overruns:0 frame:0           TX packets:6 errors:0 dropped:0 overruns:0 carriers:0           collisions:0 txqueuelen:1000           RX bytes:0 (0.0 b)  TX bytes:468 (468.0 b)           Interrupt:19 Base address:0xd020  lo        Link encap:Local Loopback           inet addr:127.0.0.1  Mask:255.0.0.0           inet6 addr: ::1/128 Scope:Host           UP LOOPBACK RUNNING  MTU:16436  Metric:1           RX packets:0 errors:0 dropped:0 overruns:0 frame:0           TX packets:0 errors:0 dropped:0 overruns:0 carrier:0           collisions:0 txqueuelen:0           RX bytes:0 (0.0 b)  TX bytes:0 (0.0 b)  virbr0    Link encap:Ethernet  HWaddr 52:54:00:75:C2:9B           inet addr:192.168.122.1  Bcast:192.168.122.255  Mask:255.255.255.0           UP BROADCAST RUNNING MULTICAST  MTU:1500  Metric:1           RX packets:0 errors:0 dropped:0 overruns:0 frame:0           TX packets:0 errors:0 dropped:0 overruns:0 carrier:0           collisions:0 txqueuelen:0 [root@centos ~]# _  What should be done more to configure the network on CentOS machine? Aliased edge around light source in cycles Often when a mesh light is visible in the camera, the edges are not anti-aliased.  No matter how many samples I do, the lamp border always looks jagged and pixelated.  Is this a rendering error? How can I get around this issue?    And zoomed in 4x: I'm talking about at least two juvenile sci-fi novels, read between second and fourth  public grades (U.S.A.) which for me places them around 1956-9.  The protagonists are a brother and sister, presumably my (then) age. They are friends  with a single man, a scientist who has built a rocket ship. The scientist is little fey,  physically; a (relatively) large, round head, balding, short in stature and striking long,  thin hands and fingers.  The rocket ship's final preparation is to slop a viscous, clear gloop over EVERYTHING, inside and out from a pail with a paintbrush. In flight, there is an encounter with the moon, and a very small planet with (non-threatening) inhabitants not physically unlike the fey rocket scientist. The planet orbits either the moon or the earth, not the sun, and strangely, some kind of mushroom(!) theme runs through the books. Really.  That's it. That's all I got (I was nine at the most, fer chrissake). My recollection tells me there was concealment from parents, a particular name for the planet and people  and flight through a spatial fog. I mention these things separately because I am less sure  of them than the previous two paragraphs. The author was blissfully unrepentant of the laws  of physics:  Earth gravity on a micro-planet, fog in space and super-gloop to ready the  ricketiest rocket. Worked for me.  I'm guessing even Richard, my previous mentor/savior might not be familiar with these.  Anybody? Author, titles? Or do you just recognize one of these? How does one create a custom application launcher for Wine installed apps? P-adic expansion construction