When you asked "You don't love me, right?":  Which word is used to answer, "Right." or "Yes."?   If the answer is "Right":   --> Does "Right" mean "What you said is right, i.e., I don't love you.", doesn't it?  If the answer is "Yes":   --> Which does "Yes" mean, "Yes, what you said is right." or "Yes, I love you."?
I faced a problem to answer a negative question, for example, when someone asks you:      Don't you have any money?   It's a yes/no question but how should one answer the question without ambiguity?  When you answer "yes", does it mean "yes, I don't have any money"? or the other way "Yes, I do have money"? the questioner may think you are agreeing to the negative, that yes, you do not have any money.  I know it's better to answer with "on the contrary" but is it possible to answer yes or no?
How to never "allow this device to access photos and videos"? Which is correct “Is that yours?” or “Is that your’s?”?  I ask because it is possessive, so I would think it would be the latter, but I typically use and see the former usage.  Are there particular cases in which one should be used instead of the other? Or is one simply correct and the other not?  This is one of the few things that still confuse me, so help is greatly appreciated. PhD in Europe without scholarship from non-European homeland I earned my bachelors in Computer Engineering from my home country. I am now enrolled in a Physics masters program in the same university. Next year I plan to find a different university in Europe in which to enroll in a Computer Engineering PhD program.  However I doubt that I'll receive any scholarships from my homeland's government when studying abroad. Can I survive if I start to live out of my own my pocket? Is that enough to live in Europe just for a half year. Are there any available funds that can supplement my income such as a TA/RA's salary?  My main question is:   How to survive if I want to study PhD in Europe without any scholarship from my home country? Which country might provide sufficient support for a foreigner to study at graduate level?   I am interested to Germany and Finland but any European country would be acceptable! Is there a package to secure rendered pdf with a password? Restored database missing views, stored procs and foreign keys What information does the trace of a matrix give? I was recently thinking what information do we get from a matrix. So if we say the columns (or rows) of a matrix define the basis of a system, say vectors of 3 dimensional space. Then the determinant will tell about the volume of the space enclosed by those vectors. Does trace give any information about the space? Persistent Network Configuration using KVM and libvirt How do I recover my Google account (or Gmail) password or username? The statement is: $f$ is a real fucntion on $\mathbb R$. Then if $f'(x)=f(x)$ and $f(0)=1$, then $f(x)\neq 0.$ How can I edit my network profile independently? My oldest account on the network is Area 51, followed by Mi Yodeya.  I recently filled out the "about me" section on Mi Yodeya (but nowhere else) and did not choose the "update all sites" option because my blurb is pretty specific to that site.  I intended to have that blurb on exactly one site.  I was surprised tonight to discover that that blurb is now on my network profile, where I see no "edit" link.  Am I stuck with either having a site-specific blurb as my network blurb (because it's my first non-Area-51 site) or rewriting it to be more general?  Or is there some way that I can independently edit the network profile?  (Or designate a different site as the default?)   shows that someone else had this problem too, but I'm asking for support, not for a new feature, so I'm asking this separately. Here is my candidate for  the most elementary proof that $\lim_{n \to \infty}(1+1/n)^n $ exists. I would be interested in seeing others.  $***$ Added after some comments: I prove here by very elementary means that the limit exists. Calling the limit "$e$" names it. $***$  It only needs Bernoulli's inequality (BI) in the form $(1+x)^n \ge 1+nx$ for $x &gt; -1$ and $n$ a positive integer, with equality only if $x = 0$ or $n = 1$. This is easily proved by induction: It is true for $n=1$, and $(1+x)^{n+1} = (1+x)(1+x)^n \ge (1+x)(1+nx) = 1+(n+1)x+nx^2 \ge 1+(n+1)x $. (If $-1 &lt; x &lt; 0$, if $1+nx \ge 0$, the above proof goes through, and if $1+nx &lt; 0$, $1+mx &lt; 0$ for all $m \ge n$ so certainly $(1+x)^m &gt; 1+mx$.)  This proof originally appeared in N.S Mendelsohn, An application of a famous inequality, Amer. Math. Monthly 58 (1951), 563 and uses the arithmetic-geometric mean inequality (AGMI) in the form $\big(\sum_{i=1}^n v_i/n\big)^n \ge \prod_{i=1}^n v_i$  (all $v_i$ positive) with equality if and only if all the $v_i$ are equal.  Let $a_n = (1+1/n)^n$ and $b_n = (1+1/n)^{n+1}$.  We will prove that $a_n$ is an increasing sequence  and $b_n$ is an decreasing sequence.  Since $a_n &lt; b_n$, this implies,  for any positive integers $n$ and $m$ with $m &lt; n$  that $a_m &lt; a_n &lt; b_n &lt; b_m$.  For $a_n$, consider n values of $1+1/n$ and $1$ value of $1$.  Since their sum is $n+2$ and their product is $(1+1/n)^n$, by the AGMI,  $((n+2)/(n+1))^{n+1} &gt; (1+1/n)^n$,  or $(1+1/(n+1))^{n+1} &gt; (1+1/n)^n$,  or $a_{n+1} &gt; a_n$.  For $b_n$, consider $n$ values of $1-1/n$ and $1$ value of $1$.  Since their sum is $n$ and their product is $(1-1/n)^n$, by the AGMI,  $(n/(n+1))^{n+1} &gt; (1-1/n)^n$  or $(1+1/n)^{n+1} &lt; (1+1/(n-1))^n$,  or $b_n &gt; b_{n+1}$.  Since $b_n-a_n  = (1+1/n)^{n+1} - (1+1/n)^n = (1+1/n)^n(1/n) =a_n/n $ and every $a_n$ is less than any $b_n$ and $b_3 = (1+1/3)^4 = 256/81 &lt; 4$, $b_n-a_n &lt; 4/n$, so $b_n$ and $a_n$ converge to a common limit.  These proofs do not seem to be really elementary,  since they use the AGMI.  However, they use a special form of the AGMI,  where all but one of the values are the same,  and this will now be shown to be implied by BI,  and thus be truly elementary.   Suppose we have $n-1$ values of $u$ and $1$ value of $v$ with $u$ and $v$ positive.  The AGMI for these values is  $(((n-1)u+v)/n)^n \ge u^{n-1}v$  with equality if and only if $u = v$.  We will now show that this is implied by BI: $(((n-1)u+v)/n)^n \ge u^{n-1}v$  is the same as  $(u+(v-u)/n)^n \ge u^n(v/u)$.  Dividing by $u^n$,  this is equivalent to  $(1+(v/u-1)/n)^n \ge v/u$.  By BI,  since $(v/u-1)/n &gt; -1/n &gt; -1$, $(1+(v/u-1)/n)^n \ge 1+n((v/u-1)/n) = v/u$  with equality only if $n=1$ or $v/u-1 = 0$. Thus BI implies this version of the AGMI. \mathbb{Z} yields undefined control sequence error Is Let us = Let's? Many times I heard these words interchangeably. I want to know if "Let's" and "Let us" are used for the same meaning.  I think (for me):   "Let us" is word used for requesting. Like Let us do something means requesting to allow us do something. "Let's" is words used for proposing. Like Let's play means proposing people to play. When I play Black Ops 2, it seems that my xbox controller is inverted. Example: if I press up, my character looks down and vice versa. It was not like this before. Does anyone know how to reset the controller back to its original settings? When in Journey Builder what is the difference between journey data and contact data? I am creating a JB with an engagement split. What is the difference between Contact Data and Journey Data. ie what will I see listed in the two groupings. If I choose the journey data will this only be as up to date as the time that the data entered the Journey? Identify this YA book series about dragons, acid blood, and dangerously cold nights When $\min_{x \in X,y \in Y} f(x,y) = \min_{x \in X} \min_{y \in Y} f(x,y)$? I want to write a function that returns the nearest next power of 2 number. For example if my input is 789, the output should be 1024. Is there any way of achieving this without using any loops but just using some bitwise operators? Clone internal HDD to new SSD I recently installed an SSD into my machine. The machine itself is a Lenovo thinkpad W520, and it previously had an internal HDD. I moved the internal HDD into an expansion bay (replacing the CD-ROM), and put the new SSD into the internal bay.   The problem I'm having is that I have my Ubuntu configuration EXACTLY the way I want it - I originally spent many hours configuring it to get it to the way it is now. I'd rather not do this again. But, I'd also like the boot-up gains I would get from the OS being on the SSD.  So, what I'd like to do is clone my Ubuntu partition onto the SSD. The catch is that the standard HDD is significantly bigger than the SSD. And it has a windows partition that I don't need on the SSD (I never use Windows, so if it boots off of the other hard drive, that's fine). The layout of my hard drives are as follows:  /dev/sda (SSD):     Model: ATA M4-CT256M4SSD2 (scsi)     Disk /dev/sda: 256GB     Sector size (logical/physical): 512B/512B     Partition Table: msdos  Number  Start   End    Size   Type     File system  Flags  1      1049kB  147GB  147GB  primary  ext4         boot   /dev/sdb (HDD): Model: ATA ST9500420AS (scsi) Disk /dev/sdb: 500GB Sector size (logical/physical): 512B/512B Partition Table: msdos  Number  Start   End     Size    Type      File system     Flags  1      1049kB  1259MB  1258MB  primary   ntfs            boot  2      1259MB  269GB   268GB   primary   ntfs  4      269GB   483GB   214GB   extended  5      269GB   416GB   147GB   logical   ext4  7      416GB   475GB   58.9GB  logical   linux-swap(v1)  6      475GB   483GB   8470MB  logical  3      483GB   500GB   16.8GB  primary   ntfs   What I've tried so far:  1) Resizing the partitions /dev/sdb5 and /dev/sda1 to be the same size. 2) Booting into Ubuntu 11.04 (from /dev/sdb5) and running dd if=/dev/sdb5 of=/dev/sda1 (of course this causes problems with booting, so I had to reinstall grub.. I can get it to boot, but then I have problems with initrd not finding some files ... presumably it can't load some partitions I think).  Now, I think those two steps are the wrong approach, because it will clone /dev/sdb5 EXACTLY - including references in fstab which point to the wrong hard drive. I'm not sure exactly how to rectify this. I could install Ubuntu 11.04 onto the SSD, then try and copy over all of my configurations, but I'm concerned that I'm going to lose something, or that I'm going to overwrite something like fstab that points back to the original hard drive.   Note that currently, I can still boot from the HDD, so it's not imperative that I get this figured out right away, but I do want it to be exactly how it is right now, so that I can maintain my current level of productivity (it's a work laptop).  Suggestions on how I might be able to overcome this difficulty?   Thanks in advance! How old is Chewbacca, anyway? Do Wookiees get gray fur when they are old?