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if p is prime then 1920 divides $p^4-10p^2+9$ How to add lists with unequal length? How to minimize the ink-to-data ratio for pgfplots I know I can become root (super user) via the su command but I have to authorize it after entering the commands. Is there a way I can become root and authorize (with password) in one line What constitutes an observation/measurement in QM? Usually in the morning I brush my teeth after breakfast. But my dentist told me that it's better not brush them right after eating food, because eating makes them soft.  So now I brush my teeth before breakfast. Is this the correct procedure?  PS. Just found , the author has the same opinion.  Just want to get a additional confirmation. How do we initialise unpacked arrays in Verilog? Suppose I declare an unpacked array of size say 8 bits wide. reg b[7:0];  If I want to assign b[7] = 1,b[6] = 1, b[5] = 1, ......b[0] = 1, then apart from assigning value to each bit is there a way to assign any combination of bits say 8'bA8, to b? For instance if I execute this code(below) in verilog: module tb();     reg [7:0]a;     reg b[7:0];     initial begin         $monitor(&quot;a = %b,b = &quot;,a);         a = 8'hA8;         b = 8'hA8; // Line 7     end endmodule  I get this error: C:\iverilog\bin&gt;iverilog -o a test.v test.v:7: error: Cannot assign to array b. Did you forget a word index? 1 error(s) during elaboration.  I am using Icarus Verilog on a command prompt on Windows 10 operating system. How do I mount a hibernated NTFS partition? How are second order nonlinear ordinary differential equations solved? Can I run Android apps on Ubuntu? Is it possible to run Android apps on Ubuntu? And I don't mean inside an emulator, but natively, as you would with any other application installed using the Ubuntu Software Center. Sum of closed spaces is not closed Marriage Tax Benefits How could C-3PO see Luke? Homotopy functions I'm new here. Can anyone give me a hint in this problem? Please.  Let $X$ be a topological space. If $f,g$ are continuous function of $f,g\colon X\to S^n$  which $f(x)\neq -g(x)$ for all $x$ in $X$, show $f$ and $g$ are homotopics. I try to show a homotopy using $$q(x) = \frac{f(x)+g(x)}{\|f(x)+g(x)\|}$$ it's well defined, but i'm stuck. Trailing Sum Query Left and right subscript / superscript I am trying to put two subscripts at the left and right of a character. For example, something like:  _{t} p_{x}  where p is in the middle. How do you do this? JavaScript object: access variable property by name as string How can I test for POSIX compliance of shell scripts? Considering that POSIX is the closest thing to a common standard among all unices, I'm interested in knowing if there's a shell that supports it exclusively. While most modern shells provide support for POSIX (and will run POSIX compliant scripts without any problem), they don't do a good job at pointing out non compliant features.  Is there any shell that implements POSIX and POSIX only, in such a way that it'd throw an error for any non compliant feature?  EDIT I want to clarify that I'm not asking for general tips for writing portable shell scripts. The related question mentionned in the comments already covered this. I thought of this question when I found out that bash has a --posix option but only to discover that it only affects some intialization behaviors which is not exactly what I'm looking for. \includegraphics: Dots in filename \includegraphics cannot handle filenames that contain more than the one dot, separating the filename from the extension. Apparently it uses everything after the first dot as extension and then, of course, complains about an unknown graphics extension.  This is annoying as I very often have filenames that contain parameter values, e.g. plot_a0.4_b0.6.pdf.  Is there a way to teach LaTeX to interpret only the string behind the last dot as extension? Showing $\rho (x,y)=\frac{d(x,y)}{1+d(x,y)}$ is a metric