Long exposure closing the view finder and producing blank white photo
How can I depict vehicle traffic during daytime in a long exposure without washing out the vehicles?
is a typical example for , though it is said that long time no see has been accepted by the mainstream English speakers.  Recently, there is a  movement in the , and a few new Chinglish words have been invented to demonstrate the characteristics of the Mainland.  The most outstanding examples (in my opinion) are:   shitizen - a citizen without citizen rights freedamn - the freedom for shitizens (no freedom) democrazy - the democracy for shitizens (no democracy) smilence - the speeches under the freedamn of speech () z-turn - to make effort in vain ( (Pinyin))   Here are my questions. Has there ever been any neologism movement in the history of English? What are the criteria to adopt new words into English? I stumbled across this relationship while I was messing around. What's the proof, and how do I understand it intuitively? It doesn't really make sense to me that the sum of odd numbers up to $2x + 1$ should equal $x^2$. Prove that $\left (\frac{a^2 + b^2 +c^2}{a+b+c} \right) ^ {(a+b+c)} > a^a b^b c^c$ Prove that $\left (\dfrac{a^2 + b^2 +c^2}{a+b+c} \right) ^ {(a+b+c)} &gt; a^a b^b c^c$ if $a$, $b$ and $c$ are distinct natural numbers.  Is it possible using induction? Is there any way in QGIS to apply service area buffers e.g if I have a point on a map I wish to show the service coverage of 1 mile, 2 mile, 3 mile, breaks using  the road network? Convergence $I=\int_0^\infty \frac{\sin x}{x^s}dx$ Hi I am trying to find out for what values of the real parameter does the integral $$ I=\int_0^\infty \frac{\sin x}{x^s}dx $$ (a) convergent and (b) absolutely convergent.     I know that the integral is convergent if $s=1$ since $$ \int_0^\infty \frac{\sin x}{x}dx=\frac{\pi}{2}. $$ For $s=0$ it is easy to see divergent integral since $\int_0^\infty \sin x\, dx$ is divergent.  However I am stuck on figuring out when it is convergent AND or absolutely convergent.  I know to check for absolute convergence I can determine for an arbitrary series $\sum_{n=0}^\infty a_n$ by considering $$ \sum_{n=0}^\infty |a_n|. $$ If it helps also $$\sin x=\sum_{n=0}^\infty \frac{(-1)^{2n+1}}{(2n+1)!} {x^{2n+1}}$$. Thank you all Prove that $PSL(2,\mathbb{Z})$ is free product of $C_2$ and $C_3$ Prove that $PSL(2,\mathbb{Z})=C_2 \star C_3$.  Now $C_2 \star C_3=\langle a,b\ |\ a^2, b^3 \rangle$ i.e. the free product.  But how do I show that presentation of $PSL(2,\mathbb{Z})$ is this? I think the title says all I want: I want to add context menu items for a specific file type like the yellow marked ones in the screenshot. Which registry changes do I have to make? In my case I want to assign ir.exe to .rb files. Pagination returns 404 after page 20 I got a paged loop that pulls in 4 posts per page from custom post type. It works great, with the only downside that the pagination wont go over the page/20 everything after that is 404, and the posts_nav_link won't show the next arrow at all. Like the pages just aren't there.  In total there are 119 published posts in the custom post type. If I change posts_per_page to, say 6, then I get access to more of the posts from the end, but it also stops at the page/20.  On the production site the pagination stops at 21, I guess because the live database has more entries.  I got the "Blog pages show at most" setting set to 6.  Here's the loop I'm using:  &lt;?php $paged = get_query_var('paged') ? get_query_var('paged') : 1; $args  = array(     'posts_per_page' =&gt; 4,     'orderby'        =&gt; 'modified',     'post_type'      =&gt; "projekte",     'paged'          =&gt; $paged ); $custom_query = new WP_Query($args); $c = 0; while($custom_query-&gt;have_posts()) :     $custom_query-&gt;the_post();     ?&gt;     &lt;article&gt;...&lt;/article&gt;     &lt;?php endwhile; wp_reset_postdata(); // reset the query ?&gt;   I've gone through the functions.php a million times looking for a some limiting get_pre_posts filter but there's nothing I can see.  I also got an error log setup and nothing is returned there, I've tested it that it works.  Any suggestions? I have a txt file which actually is a html source of some webpage. Inside that txt file there are various strings preceded by a "title=" tag.  e.g.   &lt;div id='UWTDivDomains_5_6_2_2'  title='Connectivity Framework'&gt;    I am interested in getting the text Connectivity Framework to be extraced and written to a separate file.  Like this, there are many such tags each having a different text after the title='some text here which i need to extract '  I want to extract all such instances of the text from the html source/txt file and write to a separate txt file. The text can contain lower case, upper case letters and number only. The length of each text string(in characters) will vary.  I am using PowerGrep for windows. Powergrep allows me to search a text file with regular expression inout. I tried using the search as        title='[a-zA-Z0-9]  It shows the correct matches, but it matches only first character of the string and writes only the first character of the text string matched to the second txt file, not all string.   I want all string to be matched and written to the second file.  What is the correct regular expression or way to do what i want to do, using powergrep?  -AD. We are small team which working on car racing game but we don't know about licensing process for branded cars like Nissan, Lamborghini, Chevrolet and etc.   Do we need to buy any licence for using real car brand names, models, logos,... or we can use them for free?  Second option we think about using not real brand with real models is it possible? If someone have experience with that, fell free to share it.  Any information about that is welcome. Nested indenting issue How to get correct indentation after entering a nested list? I am writing a code review and I could not figure this out by googling. Here is an example of the three formatting styles I tried to use (but none of them works as I would like):  Case 1  The task is to align the last line (see below) "In the first line you use camelCase..." with the last line above the numbered list. In my first attempt, I added a new line (empty line) after the second numbered list item, and then indented by 4 spaces:     Variable name casing: See  on "Snake Case". In Perl, we use "snake_case" instead of "camelCase", and be consistent. Example:   Line 14: my $testType  Line 18: my $right_frame   In the first line you use camelCase, whereas in the second you use     snake_case.     As you can see, this gives the correct indentation but it introduces a blank line above the first numbered item.  Case 2  In this case I do not add the blank line after the second numbered list item ( but still indent by 4 spaces ):     Variable name casing: See  on "Snake Case". In Perl, we use "snake_case" instead of "camelCase", and be consistent. Example:   Line 14: my $testType  Line 18: my $right_frame In the first line you use camelCase, whereas in the second you use     snake_case.      In this case the line is considered as part of the last list item  Case 3  In this case, I try to add two blank spaces (invisible) at the end of the second list item:     Variable name casing: See  on "Snake Case". In Perl, we use "snake_case" instead of "camelCase", and be consistent. Example:   Line 14: my $testType  Line 18: my $right_frame In the first line you use camelCase, whereas in the second you use     snake_case.      In this case the line is considered part of the second item, and hence not correctly indented.  How to achieve the correct indentation? Let $A$ be a $n \times n$  invertible  matrix.Define a function $F:\mathbb{R}^{n} \times \mathbb{R}^{n} \rightarrow \mathbb{R}$ by $F(x,y)=\langle Ax,y\rangle$. Let $DF(x,y)$ denotes the derivative of $F$ at $(x,y)$ which is a linear transformation from $\mathbb{R}^{n} \times \mathbb{R}^{n} \rightarrow \mathbb{R} $. Then      1) if $x\neq 0$,then  $DF(x,0)\neq 0$      2) if $y\neq 0$,then  $DF(0,y)\neq 0$      3)  if $(x,y)\neq (0,0)$,then $DF(x,y)\neq 0$      4) if $x=0 \; or \;y=0$,then $DF(x,y)= 0$   I don't even know how to start the solution and also how to take derivative in higher dimensions.  Please help!  Thank you. I'm going to submit form using cURL, where some of the contents is come from other file, selected using sed  If param1 is line matching pattern from other file using sed, below command will works fine:  curl -d param1="$(sed -n '/matchpattern/p' file.txt)" -d param2=value2 http://example.com/submit   Now, go to the problem. I want show only text between 2 matching pattern excluding the matching pattern itself.  Lets say file.txt contains:  Bla bla bla firstmatch It is a long established fact that a reader will be distracted by the readable content of a page when looking at its layout. secondmatch The point of using Lorem Ipsum is that it has a more-or-less normal distribution of letters, as opposed to using 'Content here, content here', making it look like readable English.   Currently, lots of "beetween 2 matching pattern" sed command won't remove firstmatch and secondmatch.  I want the result to become:  It is a long established fact that a reader will be distracted by the readable content of a page when looking at its layout. Applying Zorn's Lemma to natural numbers Zorn's Lemma states that if every chain $C$ in a partially ordered set $X$ has an upper bound then there is at least one maximal element in $X$.  Let $n\in \mathbb{N}$, $C_n \subset \mathbb{N}$ be the set containing the natural numbers $\{1,\dots,n\}$. Then if $k\le n$, $C_k\subset C_n$, so $C_n$ is a chain. Also, $C_n$ has an upper bound, such as $n+1$. But what is the maximal element of $\mathbb{N}$?  There's something I don't get in Zorn's Lemma statement. Why are there holes in the icing? Find the expected value of $\frac{1}{X+1}$ where $X$ is binomial The problem:  X is a binomial random variable, find $E[\frac{1}{X+1}]$ n and p are not given  PDF for a binomial distribution is $\binom{n}{k}p^k(1-p)^{n-k}$  Expected value is $\sum{x_ip(x_i)}$  But this is where I get stuck, I'm really rusty on my statistics and I'm not sure exactly how to structure it in the next step? I think I want to get the form of the following out of the summation  $\sum _{k=0}^{n} \binom{n}{k}p^k(1-p)^{n-k} = (p + 1 - p)^n = 1$  But I'm not sure if it should look like  $\sum \frac{1}{xp(x)+1} $  and if it should where to go from here? After a company has issued shares, why should it care if the value of the shares fluctuate? Since the shares are now publicly traded, if the value fluctuates, that is strictly a transaction between buyer and seller, none of whom are directly related to the company. E.g. if I sell X an iPhone for $100, why should I care if X is selling the iPhone to Y for 1 dollar or 1000 dollars? I have got my $100, so I need not bother. No? In fact, I would like to ask more general question -- &quot;what does write permission for a directory allow you to do exactly?&quot; -- but let's approach it with a concrete example. It is a long question, if you are in a hurry read the bold -- it should cover the main part. Different sources (, , ) say something similar to the following on the directory permissions:  r, read -- reading of the directory's content (filenames inside) w, write -- changing the directory's attributes (e.g. modification time) and creating/renaming/removing entries inside x, search -- accessing files inside, you have access to the inode of the file, hence you can reach it's actual content  My problem is with the description of w. What directory's attributes does it give you access to? I cannot create/rename/remove a file inside a directory with only write permission: I make a directory (tdir/) and a file inside (afile), chmod -x-r tdir/, mv tdir/afile tdir/af, rm tdir/afile, touch tdir/newfile -- all fail with permission denial, unless I set x permission to the directory as well. And x alone doesn't give you the permission to create/rename/remove files inside the directory. In order to do that you need both x and w. But touch tdir does change the modification time of the directory with w only. I would rephrase the sources above this way for the compliance with the issue: a directory's r allows you to see the filenames inside, but no access to the actual file (to the inode); x gives you access to the inodes of the files (which means you can see their permissions and, according to it, have access to the contents), but you still cannot change anything in the directory; directory is actually some sort of a file and to change something in it you need the w permission. Thus, when you are changing something in the directory you need w permission. If your change requires inodes of the files in the directory -- you need x as well. It explains why you cannot remove a file inside a directory with w only: when removing a file you need to reduce the link count of the inode by 1 -- you need to know the inode -- thus you need x for the directory. But why do you need x for creating (you could ask the system to create a file without exposing the inode?) and renaming/moving the file (when you move a file you don't change it in any way, you only change the records inside the directories and their inode counts?)? Maybe it is just an implementation thing? I.e. indeed you don't need the inode for renaming/creating files -- you need only filenames and w permission; but inode and filename constitute one record in the directory; thus changing the filenames = changing the records = kind of accessing the inodes. And also what attributes do directories have besides modification time, permissions and files records? What else in the directory can you change with w only? MySQL Insert query doesn't work with WHERE clause How do I color table columns? I've found question , but the link to the documentation isn't helping me at all.  I'd like to know how to color a table column given my column code, but the documentation only gives the syntax of the command. It doesn't give any code example of where to use it.  \usepackage{colortbl}  \begin{table}[h]     \centering     \begin{tabular}{|c|c|c|c|c|c|c|c|}         \hline         \cellcolor[gray]{0.8}128&amp;64&amp;32&amp;16&amp;8&amp;4&amp;2&amp;1\\\hline         1&amp;0&amp;1&amp;1&amp;0&amp;1&amp;0&amp;1\\\hline     \end{tabular} \end{table}   As you can see, I got \cellcolor to work, but I don't want to color individual cells. I want to color a whole column of the table. Does anybody know how I can go about to do this?