Passive voice of LET
The passive with "let"
NHibernate Get objects without proxy Showing arrowheads in line end using QGIS? I would like to show arrowheads in the endings of every drawn linestring.  Is it possible in QGIS?    I have been trying to use a marker line but repeats all de arroheads all over the line, it is not restricted to the ends: "Arnold raced out of the door": grammatical or not? What is the precise definition of a rigid shape? I have fish density data that I am trying to compare between several different collection techniques, the data has lots of zeros, and the histogram looks vaugley appropriate for a poisson distribution except that, as densities, it is not integer data. I am relatively new to GLMs and have spent the last several days looking online for how to tell which distribution to use but have failed utterly in finding any resources that help make this decision. A sample histogram of the data looks like the following:   I have no idea how to go about deciding on the appropriate family to use for the GLM. If anyone has any advice or could give me a resource I should check out, that would be fantastic. Why we don't use gamma rays, x-rays or ultraviolet to transmit data? The greater the frequency range of a transmission medium, the greater the number of bits per second it can transmit. In other words, the bigger the bandwidth in hertz available, the bigger the bandwidth in bits per second that can be transmitted.  Given that, why we don't use gamma rays, x-rays or ultraviolet to transmit data instead of e.g. visible(light) in optical fiber or microwaves(cell phones)? Proving AM-GM with induction I am trying to prove AM-GM with the following steps:    Prove that AM-GM holds for two variables Prove that if AM-GM holds for $k$ variables then it holds for $2k$ variables Prove that if AM-GM holds for $k$ variables then it holds for $k-1$ variables   If I prove all of these, I will have proved AM-GM. I have proved (1) and (2), but I am still struggling with (3).   Proof for (1)  By the Trivial Inequality, we know that the first statement is true. Therefore \begin{align} (a-b)^2 \ge 0 \implies\\ a^2-2ab+b^2 \ge 0 \implies \\ a^2+2ab+b^2 \ge 4ab  \implies\\ a+b \ge 2\sqrt{ab}  \implies\\ \frac{a+b}{2} \ge \sqrt{ab}\hspace{3mm}\blacksquare\\ \end{align}  Proof for (2)  Let our numbers be $a_1, a_2, a_3, \ldots, a_{2k}$. Denote $$x = \frac{\displaystyle\sum_{i=1}^{k}a_i}{k}, y = \frac{\displaystyle\sum_{i=k+1}^{2k}a_i}{k}$$  We know that by AM-GM for 2 variables, that $$\frac{x+y}{2}\ge \sqrt{xy}$$ By our definition of $x, y$ this means that $$\frac{x+y}{2} = \frac{\frac{\displaystyle\sum_{i=1}^{2k}a_i}{k}}{2}=\frac{a_1+a_2+a_3+\ldots+a_{2k}}{2k}$$ Again by definition, $$\sqrt{xy} = \sqrt{\left(\frac{x_1+x_2+\ldots+x_k}{k}\right)\left(\frac{x_{k+1}+x_{k+2}+\ldots+x_{2k}}{k}\right)}$$ By AM-GM for $k$ variables, $$\sqrt{\left(\frac{x_1+x_2+\ldots+x_k}{k}\right)\left(\frac{x_{k+1}+x_{k+2}+\ldots+x_{2k}}{k}\right)} \ge \sqrt{\sqrt[k]{x_1x_2\ldots x_k}\sqrt[k]{x_{k+1}x_{k+2}\ldots x_{2k}}}$$ This is simply equal to $$\sqrt[2k]{x_1x_2x_3\ldots x_{2k}}\hspace{3mm}\blacksquare$$  However, I have no idea how to proceed on (3). I tried using the definition of AM and GM but did not come up with anything useful. Feel free to point out any errors or flaws on my proofs for (1) and (2). Why can't I change directories using "cd" in a script? I'm trying to write a small script to change the current directory to my project directory:  #!/bin/bash cd /home/tree/projects/java   I saved this file as proj, added execute permission with chmod, and copied it to /usr/bin. When I call it by: proj, it does nothing. What am I doing wrong? Is there any field of characteristic two that is not $\mathbb{Z}/2\mathbb{Z}$ Is there any field of characteristic two that is not $\mathbb{Z}/2\mathbb{Z}$?  That is, if a field is of characteristic 2, then does this field have to be $\{0,1\}$? how to replace multiple strings together in Oracle I have a string coming from a table like "can no pay{1},as your payment{2}due on {3}". I want to replace {1} with some value , {2} with some value and {3} with some value .  Is it Possible to replace all 3 in one replace function ? or is there any way I can directly write query and get replaced value ?   I want to replace these strings in Oracle stored procedure the original string is coming from one of my table I am just doing select on that table   and then I want to replace {1},{2},{3} values from that string to the other value that I have from another table Can't delete folder (in Windows 10) that contains special character Changing planes at Newark Airport I fly in from Sweden with United to Newark Liberty Airport. The connecting flight with United departs to Costa Rica a few hours later from Newark as well. The two flight-segments are part of the same trip and ticket.  I was hoping to stay in the same terminal but am suspecting that it wont be as straightforward as I had hoped - reading through the older posts it seems that a transfer is needed from A to C but it's not fully clear.   Do I need to pass through immigration? Do I need to fetch our bags? Even if my bags have tags all the way to SJO? Do I need to change terminals? Which terminal would I arrive in? Depart from? Is there a general formula for finding the primitive of $$e^{ax}\sin(bx)?$$  I've done this manually with $a=9$ and $b=4$ using Euler's formulas. But it takes a bit of time. Is there a pattern here? What is the size of an enum in C? I'm creating a set of enum values, but I need each enum value to be 64 bits wide. If I recall correctly, an enum is generally the same size as an int; but I thought I read somewhere that (at least in GCC) the compiler can make the enum any width they need to be to hold their values. So, is it possible to have an enum that is 64 bits wide? Some speculation here:   Is there a possibility it would pass 'undetected' through your hand, or is it certain death?  Can you conclude it to be vital, or only loose your hand?  Would it simply make a small cylindrical hole through your hand, or is there some sort of explosion-effect?  Assume your hand has a cross section of 50cm², and a thickness of 2cm, how much of the beam's energy would be transferred to your hand? I wonder whether it is possible to draw the three following quadric surfaces (cone, hyperboloids)  x^2+y^2-z^2=0  x^2+y^2-z^2=1  x^2+y^2-z^2=-1  (and the axis)   using pgfplots 3d or TikZ as it is done in the following image I am in the process of redesigning an interface with a lot of Tabular data that is previously simply used as tables that look like the 19th century. I was a bit confused whether to switch it to a Card View sort of layout and present the data in that way, or to leave it in a Tabular View itself and instead just style around it.  I would like to know what could be the better approach when it comes to User Experience and what seems more at ease to the customer as I want the product to be easier for the customer to use rather than looking complicated to them.  The users of the product would be on the financial sides of the industry so, if needed please keep that into consideration. The median minimizes the sum of absolute deviations (the $ {\ell}_{1} $ norm) Suppose we have a set $S$ of real numbers. Show that   $$\sum_{s\in S}|s-x| $$   is minimal if $x$ is equal to the median.    This is a sample exam question of one of the exams that I need to take and I don't know how to proceed. Solve the following equation in positive integers $x$ and $y$ For some reason my Steam just broke today after working perfectly since I installed it a few days ago.  It was originally installed via the deb from the Steam site. So I uninstalled that using the Ubuntu Software Center. Then I installed steam-launcher. When I run it from the menu it does nothing at all. When I go through terminal it gives this message, no error:  $ steam/usr/bin/steam:  line 196: /home/andrew/.local/share/Steam/steam.sh: Success   So I purge-removed it and removed the .steams directory from my home directory but on re-installation its the same story.  I am using Xubuntu 12.10 64bit.  It appears that steam .local/share/Steam/steam.sh is blank. What is it meant to have in it? I am so confused with how reinstalling it doesn't fix it.