The last few years "has seen" vs "have seen"? Consider the following sentences:     The last few years has seen the building of the new church.   and     The last few years have seen the building of the new church.   As a native speaker, both of these sentences "sound" correct to me.  Is only one of them correct, are they both correct or is each one only correct in specific circumstances.  This was a question one of my students asked me, so if there is a relevant grammar rule,  that would be great.
Is it "5–6 weeks are a lot of time" or "5–6 weeks is a lot of time"? I was just copyediting  and my native English speaker Sprachgefühl told me I had to correct the grammar of one sentence:     ... 5–6 weeks are a lot of time ...   by changing the are to is. But as I was doing so I started wondering why is it that in this case it seems that I have to make the verb disagree with the plural subject?  So is my feeling for English going bad or if I did the right thing, how could I explain this to somebody who's learning English for instance?
Zooming in to a selection of vertices with the period key does not work as expected I am following through the exercises in BlenderBasics_4thEdition2011.pdf and have gotten to the section on texturing.  The book goes through the creation of a Lighthouse and now I am texturing it.  I want to have a closeup view of the roof of the lighthouse after partitioning it as the lesson describes on page 54.    In order to get a close up view I selected the roof and want to center the screen on the vertices of it so I pressed the Numpad . key.  When I do that the view zooms so that the roof is off the screen.    What am I am doing wrong?    I tried Ray's answer and was able to move the origin but pressing the Numpad . key still did not work.  The centering was still on the bottom of the lighthouse, as if the origin was still there. Some Data Failed to Reconstruct, Motion Tracking I added tracks and stuff, but then when I tried to solve motion track, there was a error that said:     Some Data Failed to Reconstruct   and it also said to look into the console for details, which I did. This is what the console said:    By my understanding, my video is 372 frames long, and Blender is cutting the footage at 318 for some reason. Here is the image of the scene:    Why? Here are links to  and also . Also the next morning I did a camera solve, but then most of the frames went red. Delayed choice entanglement swapping: why are Alice & Bob's measurements useless without Victor's? Distributing elements across a list of lists My grandparents bought a flight on United Airlines that departs on Feb 10 2019, as the one and same ticket, from Toronto, to ORD with 1 55-minute layover, then Maui. Please ping me if I ought post their return flight on Feb 24's details.   advises:     There should be no customs and immigrations formalities at ORD, as YYZ is a , and CBP matters will be handled in Toronto.    I'm assuming that  persists during their vacation to Maui.   reported some TSA agents' refusal to work.  Will  refuse to work, or any other federal workers pertinent to travelling to and from the US? How do I calculate number of hours > 24 in Excel? I've got an excerpt of my spreadsheet below. It's a time tracking application containing a start date/day, a session ID and the duration of the session. Column A is populated by adding the duration in Column D. I'm trying to total the durations, but keep getting incorrect values in cases where the total duration is > 24 hours.  Consider        A                   B        C                D          1  2012/05/22 01:00  |  Wed  |  Session 23341  |  9:00 2  2012/05/23 10:00  |  Wed  |  Session 23342  | 22:00 3  2012/05/25 08:00  |  Fri  |                 |  0:00   As you can see, the date differential between A2 and A3 demonstrates that the value of 22:00 in D2 represents a duration of 46 hours (05/23 10:00 + 46:00 = 05/25 08:00). However, Column D is only displaying the 22:00 in excess of a full 24 hour day.  My attempts to read D2 have included int(d2) = 0.00  /  int(d2)*24 = 0.00  /  hour(d2) = 22.00  /  int(a3-a2)*24 =0.00 etc. and have been unsuccessful in pulling a value of "46".   How can I accurately represent D2 to achieve accurate summary data? I know that this machine does not work, via thermodynamics. I am asking for an analysis in terms of mechanics and magnetism.  Anyway, so here is the machine:   (source: )    The magnet (the red ball) pull the ball up the ramp, and then it drops the ball through the hole, which then rolls down, and go ups the ramp again. Thermodynamics shows that this can not work.  From a mechanics and magnetism perspective, what happens when you do this, and why can't it happen?  I have a source saying that it would work if it were frictionless and we didn't try to extract energy from it (), so in a certain sense, it is very close to possible (they didn't provide a full analysis though.)  Another Image: I would have read this around 1985-1998 because I remember being in school at the time. It may have been in a short story collection with "The Ugly Little Boy" and a story about a family dealing with people in the future coming back to enhance the intelligence of their baby with enfante terrible results. A boy, grade school age or so and very intelligent, discovers (or possibly just decides) that there are drugs in the food that prevent one from thinking critically. The details are kind of fuzzy in my head, but I remember that he at one point distills the chemical from his cereal, which he'd detected as having a high concentration, and overdoses. He's convinced that the government is trying to silence him — a scene that sticks out in my mind was him falling on a moving sidewalk and tearing his clothing as he tries to escape two "men in black" type figures that are pursuing him. The short story ended with him deciding that he was better off just consuming the food and being happy in his ignorance.  Years later, as an adult learning about mental illness, it struck me that the story was slightly ambiguous as to whether there actually were chemicals, and that the use of drugs that dulled his creativity and intelligence, and the decision to take them anyhow, was reminiscent of the feelings that manic people have toward their medications.  Anyone know what this one was? In film reviews/essays about a book or film, does the title of the movie/book always have to be highlighted/put in italics? Can a package overwrite the original commands in Latex? An example:  Without the amsmath package:   The equation environment numbers the equation automatically. The align environment cannot be executed.   With the amsmath package:   align and equation work seamlessly in numbering equations: I can use equation to write my first two equations, and align to write my third equation, and Latex will still number them correctly.   My questions are:   Is the code for the command equation after loading the amsmath package still the same as it was before loading the package? Moreover, if this is the case, then, in general, can loading different packages cause conflicts? And how do we avoid it? What is the association bonus, and how does it work? Eeeek! Code blocks are misbehaving! So code blocks in questions and answers on the android app (inline included) seem to be scared of me putting my finger in them. When I poke them, they only move over two columns!  (For clarity, these are the code blocks that overlap the TextArea view because they've been eating too much)  The intended behaviour here is that when I press my finger into a code block, the touch event should register a drag; at current, I try to scroll inside a code block and I end up switching to question or answer view instead, over and over.  EDIT:  Something tells me this is status-bydesign because the text is deliberately cut off (probably inviting you to click on the code block and expand it; UX Decision?): Should I use the past tense with did? For example, I was to say:     The important question is: Did they knew what it means or not?   Or should I say:     The important question is: Did they know what it means or not?   In other words: Should I use past tense with did?  I looked at this:    but it didn't really answer my question. What's the full-form & significance of USS & ISS prefixes in name of Star Trek starships? How do I get to the Universe Repository in supported versions of Ubuntu? Is a semigroup with unique right identity and left inverse a group? Let $X,Y,Z$ Banach spaces and $A:X\rightarrow Y$ and $B:Y\rightarrow Z$ linear maps with $B$ bounded and injective and $BA$ bounded. Prove that $A$ is bounded as well.   If I knew that $B(Y)$ is closed I'd have a bounded linear map $B^{-1}:B(Y)\rightarrow Y$ by the bounded inverse theorem. Therefore $A=B^{-1}BA$ is bounded. How to prove the claim if $B(Y)$ is not closed. Equivalence Relation with dividing x and y integers Define $x\sim y$ means 5 divides $(x - y)$ for $x$ and $y$ integers. Show that is an equivalence relation.  Equivalence relation means it satisfies reflexity, symmetry, and transitivity.  reflexive: $x\sim x$ means 5 divides $x$  symmetry: $x \sim y \rightarrow y\sim x$ means 5 divides $x - y$ and 5 divides $y - x$: $$5/(x - y) = 5/(y - x)$$ so symmetry is satisfied.  I am not sure if I am right here and I am lost on how to prove it is transitive any suggestions would be greatly appreciated The IPA symbol for the labiodental flap (ⱱ) What do you call someone who can't keep secrets? Some one who is not good at keeping secrets. In my native language it is called "chugalkhor" but it's a slang. So I can't translate it.  What do you call such a person who can't keep secrets because his instincts don't let him.