As I read an actual book on Lincoln, wrote in UK., I saw that amongst was always used by the author &amp; never among.    So I wonder if now in the US. some of us would or do use "amongst" as in UK they still do... (I don't think so, but I'd like to be 100% sure of my belief). Thank you for your feed back.  This question is new because its intent is just on the point to know exactly if currently in America - mostly US (as I think in Eastern Canada it could be like in UK) - we say "amongst"...
It seems amongst is quite often used as a synonym for among but it is supposed to sound more distinguished. Is there any difference in the meaning?
Suppose $\{f_n\} \subset L^+$ , $f_n \rightarrow f$ pointwise, and $\int f = \lim \int f_n &lt; \infty$. Then $\int_{E} f = \lim \int_{E} f_n$ for all $E \in \mathcal{M}$. However, this needn't be true if $\int f = \lim \int f_n = \infty$.   This is the exercise 13 on page 52, Real Analysis, by Gerald B. Folland. $L^+$ is the space of all measurable functions from $(X,\mathcal{M}, \mu)$ to $[0, \infty]$.  I can find a counterexample satisfying $\int f = \lim \int f_n = \infty$. Let $X = \Bbb N$, $\mathcal{M} = \mathcal{P}(\Bbb N)$ and $\mu$ be the counting measure. $f_n = \chi_{\{2i+1:i \leq n\} \cup \{2j:n \leq j \leq 2n \}}$. Then $\int f = \lim \int f_n = \infty$. But when $E = \{2k: k \in \Bbb N\}$,  Then $\int_{E} f =  0$ and $\lim \int_{E} f_n = \infty$.  But how to show the part "$f_n \rightarrow f$ pointwise, and $\int f = \lim \int f_n &lt; \infty$. Then $\int_{E} f = \lim \int_{E} f_n$ for all $E \in \mathcal{M}$"? How do I simplify and evaluate the limit of $(\sqrt x - 1)/(\sqrt[3] x - 1)$ as $x\to 1$? Consider this limit:  $$ \lim_{x \to 1} \frac{\sqrt x -  1}{ \sqrt[3] x -  1}  $$  The answer is given to be 2 in the textbook.  Our math professor skipped this question telling us it is not in our syllabus, but how can it be solved? Where does matter go after reaching singularity in uncharged black holes? I am a layman in physics and just read about black holes on the internet. I read that matter encounters geodesic incompleteness in the singularity in an uncharged black hole.  I heard an analogy of geodesic incompleteness as a straight line on a paper reach a hole on the paper, so it cannot continue. But in this analogy, isn't the straight line possible to continue into 3D (continue down the paper)? So, if matter reaches the singularity, is it possible too (to reach another dimension)?   I also heard that the matter is annihilated when reaching the singularity, does it mean it disappear from this world, and violates conservation of energy? If $A$ commutes with $B$ and $B$ commutes with $C$, then $A$ commutes with $C$ override at runtime __setattr__ Combining the first and second law of thermodynamics we can get the following equation  $$TdS=dU-P_{ext}dV$$  First question: Is this equation applicable for irreversible processes such that that $dS≠\dfrac{dQ}{T}$?  Second question:If the system temperature $T_{sys}$ is smaller than the surrounding temperature $T_{sur}$, which temperature should we put in the equation?   I have this question because sometimes people use $T_{sur}$ instead of $T_{sys}$ (e.g. , ) but the equation is supposed to describe changes in the system. Step to step how to install Cinelerra I have some problems installing cinelerra on my Ubuntu.  How do I install it? Store pictures as files or in the database for a web app? My question is fairly generic and I know there might not be an 100% answer to it. I'm building an ASP .NET web solution that will include a lot of pictures and hopefully a fair amount of traffic. I do really want to achieve performance.  Should I save the pictures in the Database or on the File system? And regardless the answer I'm more interested in why choosing a specific way.  Many thanks, Stefan   DUPLICATE: , ,  and probably some others.    COMMENT: Thanks for many good answers. I will go for a file based solution even if I like the idea of having a 100% database driven solution. It seems that there are today good solutions to do what I want with databases etc but I have a few reasons for not doing it.   I will be on a hosted solution, I have huge amount of storage(10gb) but only 300mb for the database. It will cost a lot for extra storage in the DB. I'm not an DB expert and as well not in control of settings of the DB. A DB based solution might need custom configuration as it looks like.   If we will move to run the site on our own server I might consider a DB based solution. thanks, Stefan In setting up dual Boot with Windows and Ubuntu, which OS do I install first? I'd like to install both Ubuntu 12.04 and Windows XP on a Dell laptop, and I was thinking about using a dual boot structure, and using the bulk of my hard drive as empty hard drive space to share files between the two operating systems (so choice of file system type is very important in this set-up).     The kind of partitioning structure I would like to use is  Partition 1 - Ubuntu 12.04 (root) (20GB)  Partition 2 - Ubuntu /home        (20GB)  Partition 3 : Free Space          (560GB)  Partition 4 : Windows XP          (35GB)  Partition 5 : SWAP                (3GB)  (Total Hardrive Capacity is ~640GB)    My question is; what is the best way to go about setting up this kind this system?   Should I install Windows XP first and setup the partitions, and then install Ubuntu which I believe will install the GRUB bootloader for OS booting choice   or   Do I install Ubuntu first, setting up the available partitions and then perform a WIndows install?  Please let me know if there is anything in this setup that I have left out and should know about, including things related to setting particular partitions as logical or primary, and whether the boot partition and the filesystem partition should actually be two separate partitions. What is a race condition? When writing multithreaded applications, one of the most common problems experienced is race conditions.    My questions to the community are:  What is the race condition? How do you detect them? How do you handle them? Finally, how do you prevent them from occurring? Is it possible to run two windows sessions from the same computer at the same time? 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I don't think killing the Emperor to save your son will automatically convert you to the light side. Enlighten me. How to remove the association between two Gmail accounts? I want to remove that other account. Both of them are Gmail accounts. How could I do? Character of the subobject classifier in the topos of $\mathbf{M}$-sets.