Before the panel was visible how many votes I used pure per day  near avatar.  Tell me where it went and how it can cause. Votes may limit removed? Previously, it was 40.
Since the new top bar has been rolled out - a number of different people, established and new users alike, have asked questions on where a specific link has disappeared to with the new top bar design. Where has the link to &lt;X&gt; gone?
Prove that ${\left(\frac{x+1}{2}\right)}^{x+1} \leq x^x$ I want to prove that for each real number $x&gt;0$, the statement  $${\left(\frac{x+1 } {2}\right)}^{\!x+1} \leq x^x$$  is correct.   I’ve tried using mathematical induction methods, but haven’t found a solution. Although, using any method is appreciated. The Unix environment has some excellent tools for parsing text in various forms. However, of late, the data is not in the traditional (historical) formats (CSV, TSV, record-based or some other delimiter-based) it used to be before. Data these days is exchanged in structured formats like XML/JSON.  I know there are some good tools like sed, awk and Perl which can chew down nearly any form of data out there. However, to work with this sort of structured data, often one has to write a complete program, and, given the little time available to extract information, one has to sit down and figure out the whole logic of what one wants to query and put it down programmatically. Sometimes this is not OK – basically because the information extracted from those files acts as inputs for further work; also because of the time it takes to search for the appropriate solution and code it up. A command line tool is needed with sufficient switches to find, query and dump data.  I'm looking for tools that take a XML/JSON or other forms of structured data and dump it into other formats like csv, etc., so that from there one could use other commands to get any information out of it.  Are there any command line utilities you know of which do this kind of a job? Are there already awk/Perl scripts available to this? Which command should I use for displayed equations? A number of related questions have already been asked about this issue:       and even    But I'm still confused by the conflicting suggestions that have been given so far. So I'm trying again.  Which should be the preferred command to produce a displayed equation in my LaTeX documents?  So far the suggestions indicate that one should use \[ ... \], maybe \begin{equation*} ... \end{equation*}, or maybe even the gather* or align* environments from amsmath.  And one should definitely avoid using either $$...$$ or the eqnarray environment.  Now I have to say that, from a language perspective, I have a strong preference for the equation* environment because it is less cryptic than the \[ ... \] notation and it is  the most accurate.  So, is it fine to use equation*? Maybe only after loading amsmath? Or should the equation/equation* environment be redefined to something else so that spacing, package support, or whatever is improved? Prove that $6$ divides $n(n + 1)(n + 2)$ I am stuck on this problem, and was wondering if anyone could help me out with this. The question is as follows:  Let $n$ be an integer such that $n ≥ 1$. Prove that $6$ divides $n(n + 1)(n + 2)$. Note: An integer $a$ divides an integer $b$, written $a|b$, if there exists $q ∈ Z$ such that $b = qa$. Alternatively, $a|b$ if dividing $b$ by $a$, $b ÷ a$, results in an integer.  Should I do a proof by induction? All help/input is appreciated! First I tried to use integration: $$y=\lim_{n\to\infty}\frac{a^n}{n!}=\lim_{n\to\infty}\frac{a}{1}\cdot\frac{a}{2}\cdot\frac{a}{3}\cdots\frac{a}{n}$$ $$\log y=\lim_{n\to\infty}\sum_{r=1}^n\log\frac{a}{r}$$ But I could not express it as a riemann integral. Now I am thinking about sandwich theorem.  $$\frac{a}{n!}=\frac{a}{1}\cdot\frac{a}{2}\cdot\frac{a}{3}\cdots\frac{a}{t} \cdot\frac{a}{t+1}\cdot\frac{a}{t+2}\cdots\frac{a}{n}=\frac{a}{t!}\cdot\frac{a}{t+1}\cdot\frac{a}{t+2}\cdots\frac{a}{n}$$ Since $\frac{a}{t+1}&gt;\frac{a}{t+2}&gt;\frac{a}{t+1}&gt;\cdots&gt;\frac{a}{n}$ $$\frac{a^n}{n!}&lt;\frac{a^t}{t!}\cdot\big(\frac{a}{t+1}\big)^{n-t}$$ since $\frac{a}{t+1}&lt;1$, $$\lim_{n\to\infty}\big(\frac{a}{t+1}\big)^{n-t}=0$$ Hence, $$\lim_{n\to\infty}\frac{a^t}{t!}\big(\frac{a}{t+1}\big)^{n-t}=0$$ And by using sandwich theorem, $y=0$. Is this correct? How to figure if it is safe to travel to the area I am interested in? When planning a trip, I like to make sure I will feel safe enough (I am talking about war/terrorism risk, not pickpockets), or at least I like to have an idea about the risks. I know the risk could be subject to political views (for example the political stability of a region might not be acknowledged by every country) and therefore I am mostly interested in a Western country view.  In order to figure that, I thought about checking travel operators offers. I suppose if they do not organise trips to a specific region, it might be due to political instability risks. But it might be due to a lack of tourist interest too. As I tend to travel without their help, I am not really considering this kind of source as very helpful.  So I am interested in one (or two, for cross-checking) source(s) of information with a western view (I mean I understand the view could be biased) regarding the security of ideally any area in the world. My expectation is that, the same way I can browse a tour operator's catalog of visited areas, I could browse through the areas and see if it is recommended or not to travel there. How is electricity wasted? All i know is electric current travels in a loop. So how / where in its way does electricity (electric energy) get wasted?  And what do we do on switching electric appliances off? If it's not electric current that is wasted then what is it? Where do I ask where to ask? If neutrinos are disfavoured as DM candidates why aren't axions? Numerical simulations of observed large-scale structure formation work best with Cold Dark Matter (CDM; see the answer ). Neutrinos are candidates for Hot Dark Matter (HDM), and hence they cannot account for the total dark matter abundance of the Universe. By the same token, axions are also relativistic because they have very tiny masses. Aren't they also candidates of HDM like neutrinos? Shouldn't they also be disfavoured for the same reason? What can you use Python generator functions for? I'm starting to learn Python and I've come across generator functions, those that have a yield statement in them.  I want to know what types of problems that these functions are really good at solving. I want to make Morrocan-stye pickled lemons, but I was only able to find , and it says:  In On Food and Cooking, Harold McGee suggests that a solution of five to 10% salt is needed to achieve a good North African-style preserved lemon  I make sauerkraut with 20 grams of salt per kilogram of cabbage, so 2%. So lemons taking much more salt than cabbage is surprising and confusing; since they start out acidic, I would expect them if anything to require less salt. I'm not worried about harmful microbes growing; I'm worried about the fermentation microbes not being able to grow. It's my understanding that higher salt concentrations with cabbage not only slow down fermentation, but actually .  had the same issues:  I've never quite understood the need for such excessive salting when making preserved lemons. They still ferment great at normal levels of salt, and you then need to worry less about them being overly salty to use in future recipes. As far as I can tell it's solely from tradition. Also, from checking out On Food and Cooking, it seems that McGee only points out that originally they are done with 5 to 10% salt content. I'm curious where you read/saw that he recommended such?  Does anyone have any text- and/or experience-based opinion agreeing or disagreeing with the &quot;5 to 10%&quot; figure? Setting the pivot point of an object I have a sword that currently rotates around a pivot point thats off of the actual object. Im new to blender and im not sure how i would go about changing it so that the sword rotates around the handle. Any help would be appreciated! Why doesn't this division work in Python? Is the "omniscient-omnipotent-omnipresent" definition of God consistent? is commonly defined as an  (infinite knowledge),  (unlimited power),  (present everywhere) entity.  Is there any logical  in this definition?  I have seen several paradoxes like below     Does God know what he's going to do   tomorrow? If so, could he do something   else?" If God knows what will happen,   and does something else, he's not   omniscient. If he knows and can't   change it, he's not omnipotent.      "Can 'an omnipotent being' create a   stone so heavy that it cannot lift   it?"   Do they mean that the defintion of God ( as commonly held) is logically inconsistent? How to reinstall yum? I made a big mistake: I removed yum. So now when I for example run the following it gives me an error:  $ yum clean all yum command not found.   I can download the package succesfully:  wget mirror.centos.org/centos/6/os/i386/Packages/yum-3.2.29-40.el6.centos.noarch.rpm --2014-01-15 15:42:59--  http://mirror.centos.org/centos/6/os/i386/Packages/yum-3.2.29-40.el6.centos.noarch.rpm Resolving mirror.centos.org... 192.133.139.3 Connecting to mirror.centos.org|192.133.139.3|:80... connected. HTTP request sent, awaiting response... 200 OK Length: 1019540 (996K) [application/x-rpm] Saving to: “yum-3.2.29-40.el6.centos.noarch.rpm.1”  100%[====================================================================================================================&gt;] 1,019,540    649K/s   in 1.5s  2014-01-15 15:43:01 (649 KB/s) - “yum-3.2.29-40.el6.centos.noarch.rpm.1” saved [1019540/1019540]   Trying to install the downloaded package gives the following error:  # rpm -ivh yum-3.2.29-40.el6.centos.noarch.rpm Preparing...                ########################################### [100%]     file /usr/lib/python2.6/site-packages/yum/__init__.py from install of yum-3.2.29-40.el6.centos.noarch conflicts with file from package yum-3.2.29-30.el6.centos.noarch [...] file /usr/share/yum-cli/yummain.pyo from install of yum-3.2.29-40.el6.centos.noarch conflicts with file from package yum-3.2.29-30.el6.centos.noarch   There is no directory "yum" in /usr/bin.  When I use the command "rpm -qa | grep yum".  yum-metadata-parser-1.1.2-16.el6.x86_64 yum-plugin-fastestmirror-1.1.30-14.el6.noarch yum-3.2.29-30.el6.centos.noarch   The distro is CentOS 6.3. How can I reinstall yum? Uninstall apps locked by phone vendor Command for creating a directory and navigating into it directly? How many "polygons" does my model have? I have my model and in the info bar its show this   May I need to know how many polygons it has, but  there is no option to find polygons. Verts, Edge and Faces nothing polygon option there. In the website its say that the upload limit is 400,000 polygons. I did not get over that limit or how many polygons my model has? Edge won't connect to internet, Skype for business won't screen-share, Windows Store won't update apps after Windows 10 version 1809 installed Diamond is not shown for mod name under wiki posts If a diamond mod is an author of a wiki post then the diamond is not displayed besides the mod name. E.g. :        Even when the name refers to the user profile page (in case of more then one author) like in :        Is it intentional or a bug?