Repeated phrases such as 'four times it stopped on the very threshold of the gate, four times the armour clanged'
What figure of speech is this?
Recommend a statistics fundamentals book To give you some background, I have a grasp on the basics of statistics and probability theory and even remember touching Bayes theorem at the university data mining course. But being a few years away from the university made my math got extremely rusty (so much for last-minute pre-exam cramming). While I remember various random basic concepts, there are a lot of gaps in my understanding of them.  What would be a good material (a book, a site, or otherwise equally accessible medium) to revise the fundamentals and go beyond basics? I'd like a book that can be actually read as a book (most statistics books are really dry and are close to being reference material, rather than a book). Who do you have to contact to obtain a license to stream manga? I am curious to know who the copyright holder to a manga is: is it the mangaka, or the publisher (such as Kodansha, Shonen Jump, etc)?  Who do you have to contact to obtain a license for streaming it? How can I install Ubuntu without removing Windows? I need my pre-installed version of Windows 7 (or any other version of Windows), how could I install Ubuntu without erasing it? Calculate $ \int_{-2}^{0} \frac{x}{\sqrt{e^x+(x+2)^2}} dx $ $ \int_{-2}^{0} \frac{x}{\sqrt{e^x+(x+2)^2}} dx $ = -$  2.887270... $  The function has no antiderivate and there's no symmetry here to help, if you solve this I would be thankful if you would for a highschooler ^^ Remove Reviewer and Steward badges Badges should encourage good behaviour. But what when a badge encourages more bad behaviour than good?  We hear it all the time - robo reviewers, badge-hunters. The review system fights with that users that only want badges and not want to help.  There are many suggestions how to find such robo-reviewers or how to make it difficult to robo-review. But why not cut them off at the source? Don't make them want to review for badges at all.  Remove the Reviewer and Steward badges! The Custodian Bronze badge should suffice to bring a user to the review system. And we really only want users doing reviews who want to help and not doing it for the badges. I'm trying to determine the best way to truncate or drop extra decimal places in SQL without rounding.  For example:  declare @value decimal(18,2)  set @value = 123.456   This will automatically round @value to be 123.46, which is good in most cases.  However, for this project, I don't need that.  Is there a simple way to truncate the decimals I don't need?  I know I can use the left() function and convert back to a decimal.  Are there any other ways? What is the maximum value of $n$ if $n + 5$ divides $n^5 + 5$, $n$ being a natural number? I tried to solve by binomial theorem but it failed. When applying for post-doctoral and faculty positions you are typically asked for three (sometimes more) reference letters to support your application.    Given that it is competitive out there, it also makes sense to apply for all positions that are good matches to your qualifications and career development goals (in the case of post-docs).  Sometimes this may mean asking for several reference letters (or pre-application "can you support me if required?" requests) in a short space of time.  Also, there may only be a small pool of people (i.e. 3 or 4) who know your work sufficiently well to give an excellent reference.  I have also been told that referees want to help you out, and that there is no reason to fear asking them.  And, that in many cases once a letter is written it can typically be quickly repurposed.  But there must be a breaking point.  How do I manage this without being disrespectful?  How many requests in a given unit of time is too many, or harms my credibility?   I am asking this question in this forum, as I am interested in the norms in the academic world, which are often somewhat different than the rest of the working world. Let $X$ be a metric space. Prove that if every continuous function $f: X \rightarrow \mathbb{R}$ is bounded, then $X$ is compact.  This has been asked before, but all the answers I have seen prove the contrapositive. Realistically, this may be the way to go, but is there way to exhibit an unbounded continuous function (under the assumption $X$ is not compact) without appealing to results beyond introductory real analysis (e.g., the solution I've seen involves the Tietze Extension theorem)?  Because we're working with metric spaces, it's clear that the assumption that $X$ is noncompact (towards proving contrapositive) will lead us to extract a sequence of points in the space with no convergent subsequences. But how can we infer the existence of an unbounded continuous on the space knowing only about some sequence of points in this space (without using anything too advanced)? Rich Snippets not working (and working at the same time?) We have an eCommerce site, and we have had rich snippets implemented (in JSON-LD) since January/February this year (2015). I have read multiple sources (including the Google documentation) and there seem to be three possibilities why they are not showing:   Not enough time has passed (4-12 weeks seems to be the common time quoted) The markup is wrong Google have decided not to show the data   I can rule out the first given the amount of time. The second I am fairly confident is not the case as I have used multiple testing tools. As for the third … well that's anyone's guess (although the study  suggests that MOST shops should be successful).  A strange note is that the rich snippets do not show on a regular search for our ranking keywords (we rank #1 for a few and page 1 for the majority). However the rich snippets DO show when we search for a ranking keyword + site:www.fridgefreezerdirect.co.uk as show here:    I have done this in an incognito window in the browser and using a VPN with the same results.  Can anyone suggest anything we can do or reasons this may be? Can I enter the Schengen area with a German long-term visa through a different country? I am an Indian national. Right now I am staying in Israel. I will be moving to Germany on the last week of this month with german national visa directly from tel aviv. Ticket price of direct flight is high. So I am thinking to buy either Air France or LOT for travelling having layover at Paris or Poland. Am I allowed to do that? I mean is it mandatory to enter in Germany first? May I travel with these airlines with proper transit visa? Prove that $(p+q)^m \leq p^m+q^m$ If $p,q$ are positive quantities and $0 \leq m\leq 1$ then Prove that $$(p+q)^m \leq p^m+q^m$$    Trial: For $m=0$, $(p+q)^0=1 &lt; 2= p^0+q^0$  and for $m=1$, $(p+q)^1=p+q =p^1+q^1$.   So, For $m=0,1$ the inequality is true.How I show that the inequality is also true for $0 &lt; m &lt; 1$.   Please help. Can I enable AHCI after installing Windows 7 in a SATA drive that was on IDE mode? Can you explain this word to me?   Can I rephrase it as     Can you explain me this word? I was so excited about the Spring '14  as a way to present data visualizations on a public site, and now it looks like that's not possible.  I created a page that looks basically like the release notes sample:  &lt;apex:page &gt;     &lt;analytics:reportChart reportId="00OW0000000Spru"&gt;&lt;/analytics:reportChart&gt; &lt;/apex:page&gt;   I tested it inside the authenticated environment, where it works fine, then added it to a Site. There, I get the error: To view the report chart, you need both the Run Reports permission and access to the report's folder. But, Run Reports is not a permission I can grant to the Site Guest User.  Anybody have any ideas for a workaround? Or is it not going to be possible to show report charts on a public site? mysqli or PDO - what are the pros and cons? In our place we're split between using mysqli and PDO for stuff like prepared statements and transaction support. Some projects use one, some the other. There is little realistic likelihood of us ever moving to another RDBMS.  I prefer PDO for the single reason that it allows named parameters for prepared statements, and as far as I am aware mysqli does not.  Are there any other pros and cons to choosing one over the other as a standard as we consolidate our projects to use just one approach? Intuition for Smooth Manifolds Consider the graphs of the functions $f_1(x) = |x|$, and $f_2(x) = x$ under the subspace topology of $\mathbb{R}^2$.   Both of these graphs are smooth manifolds, just pick coordinate charts to be $(x, f_i(x)) \leftrightarrow x$.   Moreover, they are diffeomorphic via the map $(x, f_1(x)) \rightarrow (x, f_2(x))$.   This seems to clash with my intuition. For example, the graph of $f_1$ has a corner, so it "shouldn't" be smooth, much less diffeomorphic to $f_2$, which is just a straight line.   Can someone explain what's going on here?   In light of these examples, how should I visualize smooth manifolds and diffeomorphisms? Microsoft recommends using Rowversion over timestamp, but I can not find "rowversion" data type inside my sql server 2008 R2 Microsoft  mentioned that we should use the rowversion data type over Timestamps. Now inside my SQL Server 2008 R2, I want to create a column with the Rowversion data type. But in my SQL Server 2008 R2 Management Studio, I cannot find such a data type:  Also when I tried altering existing column named timestamp which is of type timestamp using this statement: ALTER TABLE [SkillManagement].[dbo].[Customer] ALTER COLUMN timestamp rowversion   I get this error: Msg 4927, Level 16, State 1, Line 1 Cannot alter column 'timestamp' to be data type timestamp  Can anyone advise? EDIT Splitting file based on size, but make sure that it ends with newline I am able to use the split command successfully to split large file into multiple smaller files. This is being achieved by following command  split -b 1G $temp_path $final_filepath   But only caveat is that these files many times contain last line which is split across 2 files. Is there any way to avoid that using split or any other command ? The problem is this:      Suppose $I \subseteq R$ is a nilpotent ideal and there is $r \in R$ with $r \equiv r^2 \pmod I$. Show $r \equiv e \pmod I$ for some $e \in R$ idempotent.   I have spent a few hours rolling around in abstracta with no destination. I believe that if I could write down a concrete example of this, the example could guide me through the abstract definitions and show me where to look for an idempotent in $R$. I have looked at 2x2 matrices and could not find any such examples. Might anybody have one?