Is the centripetal force a pseudo force?
How does centrifugal force work?
With the Superman lore, we know that light from a yellow star gives him his powers, light from blue stars makes him stronger, and light from red stars weakens him.  However, what happens if he is near a white dwarf, or a neutron star?  Has there been any evidence of Superman visiting a star system that wasn't red/yellow/blue? Nikon d5100 producing extremely underexposed images I updated LyX to 2.3.0-1, and found that LyX was displaying all the "-" characters in Math Mode as "\lyxminus". No such problem occurs when entering outside of Math Mode. LyX also seems to have no problem compiling to TeX, and the PDF output looks normal.  I removed and re-installed LyX, and this issue was still there.   Does anyone have any ideas on what might be going on? I am using Linux Mint 18.2 Sonya.  Note: I previously saw this question ask about the same thing, but the author appears to have deleted their post: How to determine surprise when only part of a side is stealthy? "Where" exactly are complex numbers used "in the real world"? The proof I have starts of with $\;xy=0\;$ in a field.   Then $x^{-1}$ exists because it is a field.  Then $x^{-1} xy=x^{-1} 0$.  Therefore $y=0$.  But surely if an integral domain can not have any zero divisors, how can we end the proof by saying $y=0$? Surely then y is a zero divisor and hence the field is not an integral domain? I am talking about when you click on the icons in the dock This command gsettings set org.compiz.unityshell:/org/compiz/profiles/unity/plugins/unityshell/ launcher-minimize-window true  which works for Unity Launcher, (obviously) does not work.  Related to: How many digits does $2^{1000}$ contain? I tried this way, I only need to know if this is correct or if there are better ways to solve this:  $2^{1000}$ does not have a factor of $5$ obviously therefore we can assume  $$ 10^{m} &lt; 2^{1000} &lt; 10^{m+1}$$ for some  $m$   Assume $ k = 2^{1000}$, then take log on both sides $\log k = 1000  \log 2 \approx 301.02999 &gt; 301$  Therefore $2^{1000}$ has $302$ digits. I found an asnwered question concerning this topic already here:  Copying \captionsetup[subfigure]{justification=centering} doesn't help me thought for I am using different packages.  I would like my Captions and Subcaptions to be justified as the text below. Just under my pictures. Any suggestions?  Thanks a lot  \documentclass{article} \usepackage{subfig} \usepackage[labelfont=bf, justification=justified]{caption} \usepackage[demo]{graphicx}% Remove demo option in real document  \begin{document}     \begin{figure} %   \captionsetup[subfigure]{justification=centering}     \centering       \subfloat[Subcaption one \newline including a linebreak ]   {     \includegraphics[width=0.2\textwidth]{image1}     }     \hspace{1cm}     \subfloat[Subcaption two \newline including a linebreak]     {     \includegraphics[width=0.2\textwidth]{image2}     }        \caption{Figure caption \newline with additional text right here} \end{figure}  \begin{center} This is correctly justified Text \\ including a longer linebreak than blabla. \end{center} \end{document} Do supply lines share stored items between settlements? I can setup a supply line to share crafting material between settlements. But does this also share any buildings/crafted entities I stored in the settlement?    If not, is there some other way to move them between settlements? How can a file size be zero? Just something I ran into and couldn't think of a proper explanation. If I create an empty *.txt file on my PC and then look at its size, it shows 0. But how is that possible? I mean even if the file itself is empty, it still must have some size, just to store its own name. How can this be explained? (Non OS specific) Unupvote immediately followed by an upvote gives me a net -10 reputation points Consider the following table:  id  title   genre1  genre2  genre3  genre4  genre5 1   Movie1  Thriller    Crime   NULL    NULL    NULL 2   Movie2  Fantasy NULL    NULL    NULL    NULL 3   Movie3  Political   Philosophical   Historical  NULL    NULL 4   Movie4  Science Fiction NULL    NULL    NULL    NULL   When I unpivot genre1, genre2, ... the NULL values are removed, so that, for example, the rows for Movie1 would be:  id title  genre     original_column 1  Movie1 Thriller  genre1 1  Movie1 Crime     genre2   Is there a way to include NULL values, for example:  id title  genre     original_column 1  Movie1 Thriller  genre1 1  Movie1 Crime     genre2 1  Movie1 NULL      genre3 1  Movie1 NULL      genre4 1  Movie1 NULL      genre5   I can SELECT ISNULL(genre1, '*'), ISNULL(genre2, '*') ..., but suppose I want the values to appear as NULL? Is there a better way than:  WITH  -- SELECT that unpivots table AS unpivoted SELECT unpivoted.id,    unpivoted.title,    ,CASE unpivoted.genre WHEN '*' THEN NULL ELSE unpivoted.genre END    ,unpivoted.original_transaction FROM unpivoted   Also, I notice that the query that returns the source data to be unpivoted MUST have an alias. For example:  SELECT ... FROM   -- *must* give it an alias or it's a syntax error   (SELECT ... FROM) AS source    UNPIVOT(genre for original_column IN (genre1,genre2, genre3,genre4,genre5))   Does anyone know why? I have not found a way to refer to the alias anywhere in the query. How do you reindex an array in PHP but with indexes starting from 1? I have the following array, which I would like to reindex so the keys are reversed (ideally starting at 1):  Current array (edit: the array actually looks like this):  Array (  [2] =&gt; Object     (         [title] =&gt; Section         [linked] =&gt; 1     )  [1] =&gt; Object     (         [title] =&gt; Sub-Section         [linked] =&gt; 1     )  [0] =&gt; Object     (         [title] =&gt; Sub-Sub-Section         [linked] =&gt;      )  )   How it should be:  Array (  [1] =&gt; Object     (         [title] =&gt; Section         [linked] =&gt; 1     )  [2] =&gt; Object     (         [title] =&gt; Sub-Section         [linked] =&gt; 1     )  [3] =&gt; Object     (         [title] =&gt; Sub-Sub-Section         [linked] =&gt;      )  ) all the LaTeX-tutorials tell me how LaTeX is an extention simplifying the building of TeX documents. Understandably, no one uses plain TeX anymore, right?  But I seem to learn better when I grasp the link between TeX and LaTeX. Does someone have a link to example files in plain TeX? I'd like to know which commands, macros etc. are LaTeX-specific. How do keyboard input and text output work? Suppose I press the A key in a text editor and this inserts the character a in the document and displays it on the screen. I know the editor application isn't directly communicating with the hardware (there's a kernel and stuff in between), so what is going on inside my computer? "Thus" vs. "Thusly" I read an article that used "thusly" and was wondering if there is any grammatical credence to it.   The :     The issue started when Sokolowski quickly ran out of storage capacity in his 32GB Surface after adding media files. After poking around, he realized that while the device has a 32GB drive, only 16GB of that capacity is available for users’ data. Thusly Microsoft is being sued for false advertisement, with the suit seeking class action status.   Is thusly an outmoded form of thus, or does it have a different meaning altogether? On my Toshiba Encore 8 Tablet I noticed that the CPU usage is very high. In Taskmgr / ProcessExplorer, I can see that OneDriveSetup.exe is hogging 1 CPU cores heavily for hours.    How an I solve this hang and finish the OneDrive Update? Is it appropriate to ask questions about software licenses/licensing on ? Or is the appropriate place  ? Or is there no appropriate site currently and we should suggest such a site on ? Cyrillic monospaced font in XeLaTeX I've installed full TexLive 2011 using "install-tl" script in Ubuntu 12.04.  When I was using TexLive 2009 from repositories the following file was compiled without any errors.  \documentclass{article} % XeLaTeX \usepackage{xltxtra} \usepackage{xunicode}  % Fonts \setmainfont{Arial} \newfontfamily\cyrillicfont{Arial} \setmonofont{Courier New}  % Lang \usepackage{polyglossia} \setmainlanguage{russian} \setotherlanguage{english}  \begin{document} English normal.  \texttt{English monospace}.  Русский обычный.  \texttt{Русский моноширинный}.  % Text in Russian \end{document}   But XeLaTeX from TexLive 2011 gives this error:     ERROR: Package polyglossia Error:       --- TeX said ---   The current roman font does not contain the Cyrillic script!   Please define \cyrillicfont with \newfontfamily.      See the polyglossia package documentation for explanation.   Type  H   for immediate help.    ...                                                    l.17 ...nglish normal.  \texttt{English monospace}                                                     .   In spite of this error the output PDF is correct.  The error remains if comment out \setmonofont{Courier New}.  Using Courier New as main font gives no error on normal text (without \texttt, \textbf and so on).  Using DejaVu Sans Mono as monospaced font gives no error too.  I've been searching for solution few hours but there aren't any.  Maybe this is a bug in Polyglossia or Fontspec?