Strictly increasing sequence $\{ a_k \}$ of positive integers such that $\sum 1/{a_k}$ is finite and minimal with respect to this property
Strictly increasing sequence $\{ a_k \}$ of positive integers such that $\sum 1/{a_k}$ is finite
Does opacity:0 have exactly the same effect as visibility:hidden If so, does it effectively deprecate the visibility property?  (I realize that Internet Explorer does not yet support this CSS2 property.) SQL injection that gets around mysql_real_escape_string() Is "singular noun + and + singular noun" singular or plural? When I type "[singular noun] and [singular noun]" in Word 2010, I find some interesting things.        Bread and butter is essential. (the auto-correction warns me of subject-verb disagreement.)   Bread and butter are essential. (OK)   A knife and fork is on the table. (OK)   A knife and fork are on the table. (OK)   The needle and thread is new. (OK)   The needle and thread are new. (OK)   Cost and revenue is directly linked. (OK)   Cost and revenue are directly linked. (OK)      I wonder how a native speaker would consider this phenomenon. What do I need to run a D&D 5E campaign? I have GM'd several RPGs before that are not D&amp;D (Fate, Deathwatch, Star Wars). We first tried to play D&amp;D using the 3.5 edition and it went horribly — too many books and too many options with no idea of where to start.  I have been told that 5E takes care of all that and is easier and more fun so I want to try that but I would like a definitive list of what I need.  I expect that the kinds of books we need divide up like this:   Rulebook for me as GM Rulebook for players Fluff for everyone Monster book for me as GM   Links to these would be helpful as we got very confused with the 3.5 books — who should use what books confused us.  What other things do we need to play a campaign? I expect things like:   Dice: what kinds and how many of each kind, roughly. Models and maps. Do we need these? Does 5E need models and a grid or can it be played without (which is preferred)?   Is there anything else that we need that I haven't anticipated? Can a mangaka continue another mangaka's manga? There are plenty of manga that never had an ending for many reasons. For example, High School of the Dead's mangaka, Daisuke Satou, . Some mangaka also cannot continue their work because of health problems, as well as other reasons. Say the original mangaka either prepared or did not prepare an ending himself/herself, can another mangaka continue their work? Has this ever happened before? On every other site on Stack Exchange I can click on the site's title and be taken directly to the questions...     Except Meta.stackexchange.com   Here I actually have to click on the word "Questions" as there is no link active on the Meta title and logo.  Now I agree this isn't a big deal, however as I typically visit stack exchange pages up to a couple of hundred times a day, this one that doesn't fit spoils my flow. I am pretty certain it used to work.  It works for me in Firefox, and Safari on iPad, but even closing and reopening Chrome doesn't fix the issue.  Chrome is on Version 53.0.2785.116 Wi-Fi speed on my laptop with RTL8723DE is a bit slow and its range is also very low, what to do? My Wi-Fi connection seems to be very weak and the range is very low. It drops by two bars if I just move to the next room and by two if just step outside.  The speed is also not fast as compared to what I get from the router on my desktop .  My laptop is a HP laptop with RTL8723de module. Can anyone help me in bumping up my Wi-Fi speed?  Result of lspci -nnk | grep 0280 -A3:  03:00.0 Network controller [0280]: Realtek Semiconductor Co., Ltd. Device [10ec:d723] Subsystem: Hewlett-Packard Company Device [103c:8319] Kernel driver in use: rtl8723de Kernel modules: rtl8723de What is the difference between ++i and i++? In C, what is the difference between using ++i and i++, and which should be used in the incrementation block of a for loop? Combinatorics - binary - very interesting question I tried to solve this problem without any success. I really hope that you will know the answer. $f(n,m)$ presents the number of binary strings (empty string included) that include at most n times '1', and at most m times '0'.      Prove: $$f(n,m) = \binom{n+m+2}{n+1}-1$$ How can I use the compositor on the result of the sequencer? I recently ran a renderfarm on a file with some compositing setup, but I forgot to set the composite output back to the Composite node instead of the Viewer I was temporarily using. Since the node setup didn't require anything besides the image data (i.e., no Z-buffer, object IDs, etc.) I figured that I could just run the compositor on each frame individually. However, this proved to be somewhwat difficult.  It seems that the sequencer is run after the compositor (despite their non-exclusivity in the Post Processing panel), so my idea to use an image strip in the sequencer for all the images that I already rendered didn't work&mdash;the render just copied the images into a new directory.  The Movie Clip node doesn't seem to accept an image strip as input, either, so that was not an option.  What I ended up doing was sequencing the animation to a movie file, then piping that into the Movie Clip node in the compositor. However, this required extra time, extra storage, and it rendered the default scene every frame before compositing, only to ignore the result.  Is there a way to use Blender's compositor either directly on an image sequence, or in conjunction with the video sequencer? Clipped data frame clips labels? I have a large project with provincial data. The project is currently using a data driven map with a clipped data frame for the province. The issue is the data I'm trying to show is thousands of point labels within each province, and the now clipped border is clipping labels as well. How do I stop the labels from being clipped along with the data frame?  Also, I only want to show labels that are applicable to that specific province and not the neighbouring provinces. Let $\mathscr{F}$ be a collection of connected subsets of a metric space $M$ such that $\bigcap\mathscr{F}\ne\emptyset$. Prove that $\bigcup\mathscr{F}$ is connected.   If $\bigcup\mathscr{F}$ is not connected, then it can be partitioned into two disjoint, non-empty subsets $A,B$. Let $x$ be a point in $\bigcap\mathscr{F}$. Then either $x\in A$ or $x\in B$. I don't know where to go from here. How to iterate over a comma separated list? How can I iterate, loop, process, or otherwise do something, with each element from a comma separated list of things?  This question       , and the are already lots of very good answers everywhere. However I think it would also be valuable to have a single reference point where all such alternative techniques are explained in detail, with their advantages and disadvantages discussed.  All of plain-TeX, LaTeX, LaTeX3, LuaTeX, Context, etoolbox, pgffor, etc. answers are invited. Please consider explaining, for example:   How does the command/method deal with whitespace around items? How does the command/method deal with empty/missing items? (e.g. a,b,,c) How does the command/method deal with a trailing comma? Can the command/method work of a list stored on a macro? Is each iteration evaluated globally or on a local group? (i.e., if a command is defined during an iteration, does the command survive the loop?) Do items get expanded or somehow mangled before being processed? What about lists where items are key=value or some other kind of pairs? Does the method work for lists separated with something other than a comma? Any other thing I should know before deciding to use this method? Using induction prove $n^3-n$ is divisible by 3 whenever n is a positive number. I am not sure if I am doing this right, but I have this:  There exists an integer $k$. $2k =$ positive number  $(2k)^3 - 2k$ [*And this is where I get lost. How does one prove this?] Let $p &gt; 3$ be a prime such that $p \equiv 2 \pmod 3$. Define the elliptic curve $E$ over $\mathbb{F}_p$ by $y^2 = x^3 + 1$. Prove that $E(\mathbb{F}_p)$ consists of $p+1$ points.  Using Fermat's little theorem you can prove that $x^3 + 1$ is a bijection on $\mathbb{F}_p$. Hence, $$\#E(\mathbb{F}_p) = \#\{(x,y) \in \mathbb{F}_p^2 : y^2 = x^3 + 1\} + \#\{\infty\} = \#\{(x,y) \in \mathbb{F}_p^2 : y^2 = x\} + 1.$$ But then I am stuck trying to prove that $y^2 = x$ has $p$ solutions $(x,y) \in \mathbb{F}_p^2$. Integrating MySQL with Python in Windows Best way to obtain clarifying information when reputation doesn't allow comments? How to deal with spaces in a variable How can I edit/create new launcher items in Unity by hand? Will Unity allow making custom launcher icons from .desktop files or via menu editing system? (Right now the launcher doesn't give the option to "keep in launcher" on all programs.  For some programs I use, I have to make custom launchers or .desktop files.  For instance, daily blender builds are generally just folders with an executable.  In basic Gnome or KDE, I can make a new menu entry with the menu editing system. Then, I can also add it to Docky either from the menu or by dragging a .desktop file to it. Unity launcher doesn't support drag and drop, so thats not a bug or anything, but when I open a .desktop file, it has unpredictable results. Most time it will not have "keep in launcher". Sometime it will have a pinnable item without the .desktop's icon, and if I pin the item to the launcher, it will not call upon the program again after closing it. I've also gotten it to just work with a .desktop file for celtx. Is it possible to to take a screenshot of a webpage with JavaScript and then submit that back to the server?  I'm not so concerned with browser security issues. etc. as the implementation would be for . But is it possible?