I am writing my Statement of Purpose. I am writing a sentence such as        I moved to a small town called Falmouth where I ....   Should I use named or called?     I moved to a small town named Falmouth where I ....
Over on Stackoverflow, I keep seeing questions wherein posters say:  *I have an item named SoAndSo (a table, a file, etc.).  Shouldn't it be:  *I have an item called SoAndSo.  Is "named" an acceptable word in this context?  Are those words specific to a particular English speakers, e.g. UK vs. USA vs. Australia, etc.?
showing $\psi: R\to \mathbb C$ is ring isomorphism. How to prevent freehub body damage? I feel like this is poor design. I have two wheelsets that are less than a year old which have damaged freehub bodys due to cogs digging in to the splines on the freehub. It's so bad that I can't remove the cassette spacer without filing down the splines. I had to use  pliers and chain whip to remove the cogs that were embedded in the freehub when trying to remove the cassette.  Most of the damage is on the center of the cassette as the largest 3 cogs are held together by carrier. I'm using a shimano 105 cassette and  Novatec disc hub and Velocity ATB convertible disc hubs (which were somewhat damaged in the same fashion, but not as bad as the novatec).  I'm using this bike for cyclocross, offroad exploring, light singletrack use, Rail trails and some road riding.    How can I prevent this damage to the freehub from happening? Applying Insufficient Explanation Post Notice to One-line Questions? Moderators currently have a tool to add a Post Notice that says:     insufficient explanation       We're looking for long answers that provide some explanation and   context. Don't just give a one-line answer; explain why your answer is   right, ideally with citations. Answers that don't include explanations   may be removed.   However, there seems to be no equivalent wording for one-line questions.  Could the wording be changed to something like below to cover both one line questions and one-line answers?     insufficient explanation       We're looking for longer posts that provide some explanation and context.          Don't just ask a one-line question; provide some background like a brief description of your research prior to asking   Don't just give a one-line answer; explain why your answer is   right, ideally with citations.          Questions and answers that don't include explanations may be removed.   Sometimes such questions can simply be closed for being unclear or too broad but on the two sites I moderate there is an aversion to closing questions from new users, so to give them some guidance about what is expected, without spending time writing the same comment over and over, a post notice like this would provide a good "couple of clicks" alternative. Gollum had his life largely extended because he possessed the One Ring. He appeared to be an old, deformed, and twisted creature.  According to , he had the Ring for 478 years. His loss of the Ring and the events of The Lord of the Rings are separated by around 77 years.  Did the Ring continue to extend his life after he lost it? Why is no root pass needed to access MariaDB after upgrade to Ubuntu 16.04? Tasks in custom Environment I need to wrap a tasks environment inside a custom \NewEnviron. Apparently, tasks chokes on code besides its \task or \item due to the , presumably causing it to do so on \BODY. Any way to get around this? Exact error given is "Something's wrong--perhaps a missing \item", as per:  \documentclass[a4paper]{book} \usepackage{environ} \usepackage[more]{tasks}  \NewTasks[style=enumerate,counter-format=tsk[1]),label-width=2ex]{mytaskenum}[\item](3) \NewEnviron{mytaskenv}[1][Exercises]{   % Misc. stuff to precede the tasks env here   \begin{mytaskenum}   \BODY   \end{mytaskenum}   % Misc. stuff to follow }{}  \begin{document}  \begin{mytaskenv}   \item item 1   \item item 2   \item item 3 \end{mytaskenv}  \end{document} If $G$ is a compact topological group, how to show that a finite index subgroup of $G$ is open ? I really don't know where/how to start...  PS : I precise that by "compact" I mean that it is hausdorff and that any recovering of $G$ by open sets has a finite sub-recovering (sorry if I wasn't unclear) I have an experiment where I measure the effect of a manipulation on two different groups of participants, and the variable that I manipulate also has two levels. Thus, I can essentially use a 2x2 ANOVA to analyze the results. But it is also possible for me to measure the effect of the different levels of the variable first on Group 1 and then on Group 2, by using paired-samples t-tests.   Is there a rule of thumb to decide what needs to be done in this case? I think one advantage of using an ANOVA could be the option to investigate the interaction between the different groups and the different levels of the variable. Perhaps one could also argue that an omnibus analysis is also a better choice from a stylistic point of view.   But is there a very compelling conceptual reason to prefer a 2x2 ANOVA over two separate pairwise comparisons in my case? And if so, what would it be? Kernel of composition of linear transformations Let $f : U \to V$ and $g : V \to W$ be linear transformations on the vector spaces $U$, $V$, and $W$. Supposedly,  $$ \dim(\ker(g \circ f)) = \dim(\ker(f)) + \dim(\ker(g) \cap \operatorname{im}(f)). $$  How might I go about proving that?    (Attempt:) The $\dim(\ker(g)\cap\operatorname{im}(f))$ term suggests to me that I should define a vector space $V' = \ker(g) + \operatorname{im}(f)$ to invoke the theorem that  $$ \dim(V') = \dim(\ker(g)) + \dim(\operatorname{im}(f)) - \dim(\ker(g) \cap \operatorname{im}(f)), $$  but I don't really see where to go from there. using this command I changed root password   mysqladmin -u root password fg$pkh@567fghu   And now I cant access mysql. Is this because mysql parse the chars other than what I expect?  Also I completely removed and installed mysql and Problem is extant. How do I remove mysql so that I get rid of password? Characterization convex function. Let $f:[0,1]\rightarrow\mathbb{R}$ be a continuous function such that for all $a,b\in [0,1]$ with $a&lt;b$ $$f\left(\frac{a+b}{2}\right)\leq\frac{1}{b-a}\int_a^b f(x)\,dx.$$ How to prove that $f$ is a convex function? Thank you for your help. Pigeonhole-principle with two choices I am able to solve this sort of problem pretty easily.     An arm wrestler is the champion for a period of 75 hours. The arm   wrestler had at least one match an hour, but no more than 125 total   matches. Show that there is a period of consecutive hours during which   the arm wrestler had exactly 24 matches.   However this homework problem I can't seem to figure out.     Tyler has five weeks to prepare for his driver’s test. His mother   volunteers to ride with him for either 15 minutes or one half hour   every day until the test but not for more than 15 hours in all. Show   that during some period of consecutive days, Tyler and his mother will   drive for exactly 8.75 hours.   If I try doing it the same way as the first problem. I get $70$ pigeons and $95$ pigeon holes. I honestly don't know where to start with this problem. I thought that maybe I could assume that they only drove $.25$ hours on each day and prove that there is a period of consecutive days where they drove for exactly $8.75$ hours. Then I could say that we assume there is one day that they drove for $.5$ hours and work my way up, but I can't seem to get that to work either. "If" and "Whether" - Is interrogative IF always replacable by WHETHER? I am asking here specifically about if and whether  when they introduce embedded questions (or to be more technically accurate, subordinate interrogative clauses):  I don't know if Bob's here. I don't know whether Bob's here.  In the sentence above we can freely replace if with whether. There are some situations in which the reverse does not apply. We cannot always replace whether with if. For example in standard English, we cannot normally use if after a preposition:  The question of whether he is actually eligible didn't arise. *The question of if he is actually eligible didn't arise.  We cannot usually use interrogative-if directly followed by or not:  It's unclear whether or not he's a real elephant. *It's unclear if or not he's a real elephant.  There are several more examples. However, what I want to know is:  Are there any examples where we can use interrogative-if but we can't use whether?   Edit note: There is an if that we find in conditionals that can't be replaced by whether. However, this is conditional, not interrogative, if. I'm trying to install Windows 7 with a 4GB flash drive, but my error that comes up is that my hard drive I'm trying to install on is in ext4. I need to format it to read NTFS. I can't seem to find any topics on how to format an active hard drive. I found a topic that explains how to move Ubuntu to a new drive, but it's a bit confusing to me. Double line spacing Why can't I catch Pokemon in Pokemon Go anymore? I'm level 10 on Pokemon Go. I've caught at least 150 Pokemon, and had no problems. Now, every time I try to catch a Pokemon, no matter the level, it just rolls twice in the pokeball, breaks free, then runs away. Can anyone provide some insight on how to fix this problem? How to write this boolean expression using only NOR gates? I'm having some trouble understanding how I can convert a boolean expression to a NOR-gate only expression.   What I'm working with looks like \$T = A B' C + A' B C' + A B\$. How would I go into implementing it with NOR gates? I've noticed that, if I add \n to a pattern for substituting using sed, it does not match. Example:  $ cat &gt; alpha.txt This is a test Please do not be alarmed  $ sed -i'.original' 's/a test\nPlease do not/not a test\nBe/' alpha.txt  $ diff alpha.txt{,.original}  $ # No differences printed out   How can I get this to work? What does \x mean in C/C++? What is the English equivalent of gatasan?