here is a picture of the shape i would like to make in blender i have no clue how to even begin making it. what i want to know is how to make this shape in blender so i can use it for a project im doing. i tried adding a cylinder but then i could not figure out how to get the cylinder to be cut in half.
I am having a tough time building a half cylinder and have not found any tutorial showing me how to do that.
Fundamental question about dimensional analysis Here's the question: Prove that $\lim_{n \to \infty} (\sqrt{n^2+n}-n) = \frac{1}{2}.$  Here's my attempt at a solution, but for some reason, the $N$ that I arrive at is incorrect (I ran a computer program to test my solution against some test cases, and it spits out an error). Can anyone spot the error for me?  $\left|\sqrt{n^2+n}-n-\frac{1}{2}\right| &lt; \epsilon$  $\Rightarrow \left|\frac{n}{\sqrt{n^2+n}+n} - \frac{1}{2}\right| &lt; \epsilon$  $\Rightarrow \frac{1}{2}-\frac{1}{\sqrt{1+\frac{1}{n}}+1} &lt; \epsilon$  $\Rightarrow \frac{1}{\sqrt{1+\frac{1}{n}}+1} &gt; \frac{1}{2} - \epsilon = \frac{1-2 \epsilon}{2}$  $\Rightarrow \frac{1}{\sqrt{1+\frac{1}{n}}} &gt; \frac{1-2 \epsilon}{2}$  $\Rightarrow \frac{1}{\sqrt{\frac{1}{n}}} &gt; \frac{1-2 \epsilon}{2}$  $\Rightarrow \sqrt{n} &gt; \frac{1-2 \epsilon}{2}$  $\Rightarrow n &gt; \frac{4 {\epsilon}^2-4 \epsilon +1}{4}$ Should I use 'was' or 'were' in this example?     I was always delighted when my brother or one of my sisters was/were asked to do them. If $T^n$ is $q$-contractive, $T$ exactly has one fixed point Consider a complete metric space $(X,d)$ and $T\colon X\to X$. Suppose there exists $n\in\mathbb{N}$ such that the n-th power of $T$ is $q$-contractive. Show that then $T$ has exactly one fixed point $\overline{x}\in X$.      The n-th power is defined inductively: $$ T^{n+1}(x):=T(T^{n}(x)), n\in\mathbb{N}. $$ And for a function $T\colon X\to X$, $q$-contractive means  $$ \exists 0\leq q&lt;1~\forall~x,y\in X: d(T(x),T(y))\leq q d(x,y). $$    Now to the proof.  I think I have to show, that $T$ is q-contractive, because then it follows with Banach, that $T$ does have exactly one fixed point. So I have to show, that there exists a $0\leq q&lt;1$ so that for all $x,y\in X$ it is $$ d(T(x),T(y))\leq q\cdot d(x,y). $$ And most likely I have to use the q-contractivity of $T^n$, i.e. that there exists a $0\leq q &lt;1$ so that for all $x,y\in X$ it is $$ d(T^n(x),T^n(y))\leq q\cdot d(x,y). $$  Can you help me? Everything that I have read says that iWorks/ iMovie etc should be free for Mac users after 1 September 2013.   I already bought Pages but want Numbers and iMovie. My MacBook Pro with retina is early 2015 and I am being charged.    Why is this please? When I use ssh -X on my Mac (running OS X 10.6.7) to connect to my Ubuntu (11.04) box, I get the following warning:     Warning: untrusted X11 forwarding   setup failed: xauth key data not   generated Warning: No xauth data;   using fake authentication data for X11   forwarding.   Is there something I can do to make this warning go away?  If not, can I safely ignore it?  X11 forwarding seems to work fine, though I do see this message:     Xlib:  extension "RANDR" missing on   display "localhost:10.0".   Is that related to the warning?  (I'm guessing not.  If it's not, I'll file a new question about that.) Is there another saying/idiom similar to crocodile tears? I'm struggling with my lab report. I have a questionnaire which contains Likert responses (1-7) as well as questions that require only yes or no answers. I want to see if there is a correlation between higher scores on the likert scale and responses to the binary answers to the other questions.   Specifically - the likert response is about anxiety levels. The binary (yes/no) answer is about negative consequences due to alcohol use. I want to just run the one ordinal likert item with all the negative consequence responses to see if there is a relationship. Can anyone help me?     Thanks so much for the fast comments. It definitely assures me that Spearman's Rho can be used but my main problem is the fact that i am mixing binary and ordinal variables together in the one correlation matrix.  I have one ordinal variable (anxiety - 1-7 on likert scale) crossed with 13 dichotomous (0 or 1 representing yes or no) to answers ("have you ever been hospitalised due to your alcohol use?). I get statistically significant answers (&lt;.05 and &lt; .01 but the Correlation coefficients are tiny (i.e o.2) at best.   the hospitalisation is the DV an the anxiety levels the IV.   I just think i'm doing something wrong here. should i collapse the 13 binary variables in to one some how?   i can't see how SPSS will recognise the values between 1-7 when correlating with binary answers. i keep thinking it will just read that there is something in that box (ordinal) but not recognise the value (i.e 1-7) . but people keep saying that SPSS does in fact recognise this difference and account for it. Objects vs arrays in Javascript for key/value pairs how to get the base url from jsp request object? Disabling Intel Turbo Boost in ubuntu How to see python symbolic names of objects on cursor hover of menu items in Blender 2.8 in Blender 2.79 one could hover over a UI element and see the symbolic python name of said element. How would one accomplish the same with Blender >= 2.8? Prove that $k[x,y,z,w]/(xy-zw)$, the coordinate ring of $V(xy-zw) \subset \mathbb{A}^4$, is not a unique factorization domain I want to show that $k[x,y,z,w]/(xy-zw)$, the coordinate ring of $V(xy-zw)\subset\mathbb{A}^4$, is not a unique factorization domain.    Morally, all we need to do is find some nonzero element that can be written in two distinct ways as a product of irreducible elements, but nothing is coming to mind immediately. Thoughts? Why was Snape called the Half-Blood Prince? My question comes from what I learned in the movies, considering I have not yet been able to read the books. I would just like to know why Severus Snape called himself the Half-Blood Prince? Did many people call him that or did he just think that it was a cool nickname? This question might be answered in the books so feel free to quote from it. Is soaking beans 24 hours unrefrigerated safe? It strikes me as an unsafe food practice to follow Cook's Illustrated's advice for soaking dried beans for 24 hours unrefrigerated.  I've also seen them suggest you soak steel-cut oats unrefrigerated overnight.    Is there some reason why these practices are okay?  Would there be any harm in refrigerating them, particularly the beans, while soaking?  From Cook's Illustrated:     Dissolve 3 tablespoons salt in 4 quarts cold water in large bowl or   container. Add [one pound] beans and soak at room temperature for at least 8 hours   and up to 24 hours. Drain and rinse well. Unexpected gaps in IDENTITY column I'm trying to generate unique purchase order numbers that start at 1 and increment by 1. I have a PONumber table created using this script:  CREATE TABLE [dbo].[PONumbers] (   [PONumberPK] [int] IDENTITY(1,1) NOT NULL,   [NewPONo] [bit] NOT NULL,   [DateInserted] [datetime] NOT NULL DEFAULT GETDATE(),   CONSTRAINT [PONumbersPK] PRIMARY KEY CLUSTERED ([PONumberPK] ASC)     );   And a stored procedure created using this script:  CREATE PROCEDURE [dbo].[GetPONumber]  AS BEGIN     SET NOCOUNT ON;      INSERT INTO [dbo].[PONumbers]([NewPONo]) VALUES(1);     SELECT SCOPE_IDENTITY() AS PONumber; END   At the time of creation, this works fine. When the stored procedure runs, it starts at the desired number and increments by 1.  The strange thing is that, if I shut down or hibernate my computer, then the next time the procedure runs, the sequence has advanced by almost 1000.   See results below:    You can see that the number jumped from 8 to 1002!   Why is this happening?  How do I ensure that numbers aren't skipped like that?  All I need is for SQL to generate numbers that are:   a) Guaranteed unique.  b) increment by the desired amount.    I admit I'm not a SQL expert. Do I misunderstand what SCOPE_IDENTITY() does?  Should I be using a different approach? I looked into sequences in SQL 2012+, but Microsoft says that they are not guaranteed to be unique by default. Can I see why a package is installed? Is there a way to get trig functions without a calculator? In school, we just started learning about trigonometry, and I was wondering: is there a way to find the sine, cosine, tangent, cosecant, secant, and cotangent of a single angle without using a calculator?  Sometimes I don't feel right when I can't do things out myself and let a machine do it when I can't.  Or, if you could redirect me to a place that explains how to do it, please do so.  My dad said there isn't, but I just had to make sure.  Thanks. Expected value notation in GAN loss I am reading Goodfellow's original  on GANs.  What I struggle to understand is his notation of the subscript in expected values.  $\mathbb{E}_{\boldsymbol{x} \sim p_{data}(\boldsymbol{x})}$ ....  If I understand it correctly then $\boldsymbol{x}$ is a realization of some random variable $\mathbf{x}$, but how can there be an expectation wrt. $\boldsymbol{x}$?  Or is $\boldsymbol{x}$ a random variable?  Thank you.  Edit: I do not think this is duplicate, as the referenced question does not answer what $\boldsymbol{x}$ means. How to do a secure erase on a Macbook Pro? I have a Macbook Pro with SSD and I would like to completely erase every single bits of data on it. How would I do that? On a PC, I would just run Darik's Boot And Nuke, but can I run it on a Mac too, or is there a better alternative?