It was a quote from Anne Frank. The sentence structure looks a little off, especially the "need wait" part.
Consider:  I need to do this. I need do this.  My English grammar knowledge tells me that &quot;need&quot; doesn't have the same status as the modal verbs &quot;may&quot;, &quot;can&quot;, &quot;should&quot; and what not. Hence the second usage where two verbs appear consecutively is incorrect. But yesterday, my native English speaking friends (Americans) told me that &quot;I need compute this.&quot; is a perfectly grammatical sentence, and one is simply omitting the &quot;to&quot;. How can this be? Is it a colloquial usage but grammatically incorrect, or is it grammatically correct? If it is grammatically correct, is it because &quot;need&quot; is a semi-modal verb? EDIT: in particular, is it okay to use &quot;need compute&quot; in a scientific paper? EDIT2: the exact phrase that raised the question was &quot;The advantage of this representation is that we need only compute sums and products&quot;
How find this $x^3-5x+10=2^y$ let $x,y$ is positive integer,and such $$x^3-5x+10=2^y$$ find all $x,y$.  since $$x=1\Longrightarrow 1^3-5+10=6$$ can't $$x=2,2^3-5\cdot 2+10=8=2^3$$ so $x=2,y=3$  $$x=3,LHS=27-15+10=22$$ $$x=4,LHS=64-20+10=54$$ $$x=5,LHS=125-25+10=110$$ $$x=6,LHS=216-30+10=236$$ $$\cdots$$  I find $$(x,y)=(2,3)$$  I only find $x\le 7$ this solution.  maybe this have other solution.and This problem is from Mathematical olympiad problems Thank you So I've been thinking through some test cases. If $a_n = n$ then $\sum_n \frac{a_{n+1} - a_n}{a_n}$ is the harmonic series which diverges. And if $a_n = \sum_{k=1}^n 1/k$ then $\sum_n \frac{a_{n+1} - a_n}{a_n}$ diverges like $\sum_n 1/(n \log n)$. So that got me thinking, if $a_n$ is a strictly increasing unbounded sequence, does $\sum_n \frac{a_{n+1} - a_n}{a_n}$ necessarily diverge? How can I identify hardware components in a laptop? I just reinstalled my Windows and now I don't have all the hardware components recognized. I have an  laptop and  website seems to have all the necessary drivers for my model. The problem is that I don't know exactly which components I have. For example, in my laptop video card case the site has available drivers for ATI and Intel chips.   How do I know what are the right drivers for my machine? "Those who qualify will be awarded a certificate" or "those who qualify will be awarded certificates"? Elliptic Coordinates - Inverting the transformation The standard way to transform elliptic coordinates $(\mu, \nu)$ $\ to$ Cartesian coordinates $(x,y)$:  $x = a \cosh(\mu) \cos(\nu)$  $y = a \sinh(\mu) \sin(\nu)$  Is there any way to get the transformation $(x,y)$ to $(\mu,\nu)$? Meaning is there a way to find:  $\mu = f(x,y)$  $\nu = g(x,y)$  I'm guessing that it would involve $\sinh^{-1}$'s and $\cosh^{-1}$'s, if it was possible to do this at all. Is it possible to open a remote terminal session on a Windows XP machine? Remote desktop is... useable, but I'd like to get a proper remote terminal window open on the Windows XP machine, like I'm able to with Linux. A quick Google points at , but it looks like it's only for Vista/Server. If I just render the default cube it will look like this:   It is rendered with color depth 16. I can see there are artefacts consisting of visible "line strokes" on some of the cube faces.  The bands seems to not go darker and darker, but alternates between light and dark, or is my eye fooled?  Why?  Edit  Here comes a gradient created by gimp without banding, using the same computer: Is a NVIDIA GeForce with Optimus Technology supported by Ubuntu? Confusing [...] List in Python: What is it? So I was writing up a simple binary tree in Python and came across [...]  I don't believe this to be related to the Ellipsis object, more it seems to have something to do with an infinity loop (due to Python's shallow copy?). The source of this infinity loop and why it doesn't get expanded while expanding when accessed is something I'm completely lost to, however   &gt;&gt;&gt; a [[[[[], [], 8, 3], [[], [], 3, 2], 6, 3], [], 1, 4], [[], [], -4, 2], 0, 0] &gt;&gt;&gt; Keys(a)#With a+b [0, 1, 6, 8, 3, -4] &gt;&gt;&gt; Keys(a)#With [a,b] [8, [...], [...], 3, [...], [...], 6, [...], [...], 1, [...], [...], -4, [...], [...], 0, [...], [...]] &gt;&gt;&gt; Keys(a)[1]#?? [8, [...], [...], 3, [...], [...], 6, [...], [...], 1, [...], [...], -4, [...], [...], 0, [...], [...], 8, [...], [...], 3, [...], [...], 6, [...], [...], 1, [...], [...], -4, [...], [...], 0, [...], [...]]     Version using a+b  def Keys(x,y=[]):     if len(x):y+=[x[2]]+Keys(x[0],y)+Keys(x[1],y)#Though it seems I was using y=y[:]+, this actually outputs an ugly mess     return y   version using [a,b]  def Keys(x,y=[]):     if len(x):y+=[x[2],Keys(x[0],y),Keys(x[1],y)]     return y   So what exactly is [...]? How does the Java 'for each' loop work? Consider:  List&lt;String&gt; someList = new ArrayList&lt;String&gt;(); // add "monkey", "donkey", "skeleton key" to someList     for (String item : someList) {     System.out.println(item); }   What would the equivalent for loop look like without using the for each syntax? Why is a conservative force defined as the negative gradient of a potential? I'm learning about work in my dynamics class right now. We have defined the work on a particle due to the force field from point A to point B as the curve Integral over the force field from point A to B. From math I know that if a vector field has a potential, we only need to evaluate the potential at point B minus the potential at point A to get the result of the curve Integral. In the text that I'm reading, it's explained that if the integral over a force-field is path-independent, then the force field $F = -{\rm grad}(V)$, where $V$ is the potential. Why is it defined as the negative gradient? Doesn't one determine the potential from $F$ mathematically. Why do we impose the sign on the potential? How do I use an NBT editor to modify item properties? Solve $\sin(z) = z$ in complex numbers Show that $\sin(z) = z$ has infinitely many solutions in complex numbers. Little Picard theorem should help, but using big Picard theorem is undesirable. Thanks a lot! Please enable low-rep users to easily breakout up and down votes on their own questions I know once you get a certain amount of reputation, you can see the total up and down votes for questions. Well, my proposal is to always be able to see this on your own questions and answers. You can see it by going to your user page anyway, so why not make it possible to do by simply clicking on the number of votes (like you can when you have the rep)? My best friend of the moment - 'Essential Grammar in Use' for elementary students by Raymond Murphy - says that 'we normally use -'s for people.'     I stayed at my sister's house. (not the house of my sister).   Then, bellow in the same unit (64) says that 'we use of... for things, places, etc.'     Look at the roof of that building. (not that building's roof)   After that I thought:  Finally!!! I understand the rules for apostrophes!!!  But soon I lost all that naif excitement when I saw other written examples on the internet that were not following those 'rules'.     I've learnt that we can apply apostrophes to ...     one year's pay   and, finally, amazingly enough ... to , which means ANY kind of nouns (I deduce uncountable nouns are also part of the possibilities). This demolishes what is said in the grammar. So, it seems that eventually:     That building's roof -> is valid   So, now I need your help.    1) Can you tell me the rules concerning the apostrophe to show possession in respect to its usage with nouns? Can we really apply to all kind of nouns? e.g. teeth's, vehicle's, Paula's, forest's, manager's, Ireland's, etc     Scotland's worst drivers   Metadata improves information's accessibility       2) Is there a sense that justifies what is written in the grammar: 'we normally use -'s for people'? or it does not make sense at all? Changing column of multiple csv files I have a csv file called scenario1.csv in which the second column has column names like "0-4 years high risk", "65+ years first responder" etc. There are 20 such values. The 21st row, 2nd column has the same entry as in the 1st row of the 2nd column. I would like to rename these values to p1-p20 respectively. So the 21st row would have the p1 tag with it. Everything without quotes. I have a 150 such files, named scenario1.csv, scenario2.csv ... How do I do this? Below is an example for a shorter file:  t,  group,               1,  3,  5 0,  0-4 years low risk,  0,  0,  0 0,  0-4 years high risk, 0,  0,  1 .....,  ....  0,  0-4 years low risk, 0,  0,   0   Expected output for each file:     t,  group,  1,  3,  5    0,  p1,     0,  0,  0    0,  p2,     0,  0,  0     .....,  ....     0,  p1,     0,  0,  0    Here's the dictionary I need:  0-4 years first responder   p1 0-4 years high risk         p2 ....... 65+ years low risk          p19 65+ years pregnant women    p20 Find Orthogonal complement Best practice of when to load data into a ListBox What Does it Really Mean to Have Different Kinds of Infinities? Sounds of the letter a How can I know, precisely, when to differentiate the sounds of the letter a, like in: apple and vault?