1:I saw him going to city.  2:I saw him go to city.   First one refers to Gerund. Second one refers to infinite.  Do they have the same meanings or changed? Define it with reasons.
I saw him crossing the road.   I saw him cross the road.   Which one is correct and why?
When does the set enter set theory? Iterating each character in a string using Python I have the following browsers on my phone:   stock Dolphin Mini Opera Mobile Firefox   I don't want to set a catch-all default because some pages render better on some browsers than on others.  When I click on a link on a non-browser app (e.g. google search or google reader) it asks me which browser to choose (as expected).  Can I set a default browser for some pages and a different default for others? Looking for a short story about a man who is visiting a planet where you get your position/job through playing a game I read this story 8-15 years ago in German. I'm not sure but I think the book had 2 short, totally different stories in it.  The story was about a man who was sent (I think kinda forced to go) to a planet where he should play a game everyone on that planet plays. I think the goal was to beat their leader and conquer the world like this?  The better you are at the game, the higher is your position in the society. I remember that at the end he was playing against the leader and they had a long back and forth game, but I'm not sure who won.  They played the game on a different planet that had only one stripe of forest around the whole planet and a fire that goes around it. But thats only the location they were playing.  The man was chosen because he was the best player in every game if I remember correctly.  The game was a board like game where you have troops or armies that you move around. It was not an easy game everyone just could play. So in the documentation for the DescribeFieldResult.getDefaultValue , it says:     Returns the default value for this field   There is a related method called getDefaultValueFormula whose description reads:     Returns the default value specified for this field if a formula is not used.   What is the difference between these methods? I have a field with a default value. When I call getDefaultValue, I get null. When I call getDefaultValueFormula, I get back "This is the default value" (with quotes). I don't understand why getDefaultValue returns null. A conceptual doubt regarding Forced Oscillations and Resonance While studying about the Resonance and Forced Oscillations, I came across a graph in my textbook that is given below:-  Now, the author writes      As the amount of damping increases, the peak shifts to lower frequencies.   Why does this happen? And does this imply that at higher damping levels one cannot achieve a higher amplitude by setting the period of the forced oscillation to be equal to the natural frequency? This seems strange because, the highest amplitude is achieved when the natural frequency is equal to the driving frequency. But, I guess that the rules are somehow different for the damping case. Modular exponentiation by hand ($a^b\bmod c$) You should choose your Display Name when signing up I converted a raster image to vector in Illustrator CS6 using Image Trace then the Expand option, though when I save as an svg the image looks embossed. I suspect it's due to the layer background being white and the paths not lining up, but I'm unsure how to fix it or prove that theory without manually having to adjust every path.   This is how it looks in Illustrator before I export it:    The image looks like this when saved/exported with art optimized option: I have seen a few  here on Meta&nbsp;Stack&nbsp;Exchange that cover parts of this, but they are often too local, and none of them seem to cover all the relevant scenarios.  I will break it up into multiple parts in order to make this more specific:     When should I vote on a question:   What are the qualifications for a question to be deserving of being up-voted? When shouldn't I vote up on a question? What are the things that would cause a question to need to be down-voted?   How should I go about down-voting the question (do I wait a little while to give the OP a chance to change it, or do I down-vote it immediately)?  When shouldn't I vote down on a question?  When should I vote on an answer:   What are the qualifications for an answer to be deserving of being up-voted? When shouldn't I vote up on an answer? What are the thing that would cause an answer to need to be down-voted?   How should I go about down-voting the answer (do I wait a little while to give the OP a chance to change it, or do I down-vote it immediately)?  When shouldn't I vote down on an answer?  When should I vote on a comment:   While votes on comments do not affect reputation points, it might be useful to new users to know when to up-vote them.    It seems that a full, comprehensive list of these would be invaluable to new users looking to figure out how the voting system works, but this list seems to be missing from the meta site. What's the best way to protect your house from Endermen stealing your walls? I'm having the same problem as it was questioned   I can't get throught the step where I need to show that $\nabla_{E_i}E_j (p)=0$. It only leads to $$ \nabla_{E_i}E_j(p)=\sum_{lk}^n a_{il}(0)\dfrac{\partial b_jk}{\partial x_l}(0)\partial x_k(p) $$ which I can't show that equals zero.  On the linked question, there is also the indication that $\nabla_{E_i}E_j (E_k)=\Gamma^k_{ij}$. This could lead that $\nabla_{E_i}E_j (E_k)(p)=\Gamma^k_{ij}(p)=0$, but $\nabla_{E_i}E_j (E_k)(p)$ is not equal to $\nabla_{E_i}E_j (p)$ which is the one I need.  Can someone help me? How to create a new object instance from a Type Is a citizen of Canada required to apply for a US visitor visa after visiting Iran? Under new rules, non-US citizens from Visa Waiver Program countries who have visited Iraq, Syria, Iran, Sudan, Libya, Somalia, or Yemen are required to apply for a proper visa because they are no longer eligible for the VWP.   Does the above apply to citizens of Canada also? Canada is not a Visa Waiver Program country, but instead Canadian citizens can enter the US visa-free. If a Canadian citizen has visited Iran for example, is the entry procedure to the US any different?  I have looked through  but that page does not mention Canada. How can I get all three Kalos starters? Remove space before punctuation I need to remove locally spaces arround (especially before) punctuation signs. This spaces are added by french polyglossia.  \documentclass{article} \usepackage{fontspec} \usepackage{polyglossia} \setmainlanguage{french}  \newcommand{\nospace}[1]{\texttt{#1}}  \begin{document} \nospace{a:b} \end{document}     Thanks for help. How does equality $\mathfrak{m}^\mathfrak{m} = 2^\mathfrak{m}$ in $\sf{ZF}$ relate to the axiom of choice? Usually, the equality $\mathfrak{m}^\mathfrak{m} = 2^\mathfrak{m}$ for infinite cardinal $\mathfrak{m}$ is proved like that: $$ 2^\mathfrak{m} \leqslant \mathfrak{m}^\mathfrak{m} \leqslant (2^\mathfrak{m})^\mathfrak{m} = 2^{\mathfrak{m} \cdot \mathfrak{m}} = 2^\mathfrak{m} $$ The last step relies much on the axiom of choice, because the fact $\mathfrak{m}\cdot\mathfrak{m} = \mathfrak{m}$ does. Moreover,  states that in $\sf{ZF}$ this fact is equivalent to $\sf{AC}$.  Note, by a cardinal I mean an equipollence class of an arbitrary set, not necessarily admitting a well-ordering.  That has motivated my question: what can we say about relationship of the initial equality and the axiom of choice in pure $\sf{ZF}$?    To avoid question about definition of cardinals without $\sf{AC}$, we may consider the following statement instead:     For any infinite set $X$ exists a bijection $\; F \, \colon X^X \rightarrow 2^X$   where $X^X$ is the set of all functions from $X$ to $X$, $\; 2^X = \mathcal P(X)$ is the power set, and an infinite set is such that cannot be bijectively mapped onto a finite ordinal. How to find out which (not installed) Debian package a file belongs to? On Debian systems (and derivatives):  $ dpkg --search /bin/ls coreutils: /bin/ls   That is, the file /bin/ls belongs to the Debian package named coreutils.  But this only works if the package is installed. What if it's not? Which is more polite, "Would you" or "Could you"? Suppose you want to ask someone to do something, say to tell you the way to a station. Which is more polite, "Would you tell me the way to the station?" or "Could you tell me the way to the station?"? Evaluate the limit : $$\lim_{n \to \infty } {1 \over {\sqrt n }}\left( {1 + {1 \over {\sqrt 2 }} + {1 \over {\sqrt 3 }} + \cdots + {1 \over {\sqrt n }}} \right)$$  I can use the sandwich principle, certain convergence criteria, Cesaro mean theorem, limit arithmetic.. things around this area.  Any help would be greatly appreciated, thanks!  Sorry for not elaborating more at the beginning, rookie first-post mistake I suppose. :)