How to place block diagram into frame
Materials for learning TikZ
Is there any way to include an animated GIF directly in either PDFLaTeX or XeLaTeX? I realize the animate package can include animations in a PDF, but it doesn't support animated GIFs and you have to split them up manually into EPS or PNG files as far as I can tell. I would like to redirect a URL with uppercase characters http://localhost/A/B to a lowercase version http://localhost/a/b using the .htaccess file. Using regex I can capture A and B but is it possible to convert them to lowercase? Why is it that Frisian is considered the closest related language to English? It is commonly asked "What is the closest language to English?" and the equally common answer is         Except that there is rarely a reason given for this connection; the most that is given are baldly stated 'facts' (e.g. "English and Dutch are in the same 'Low German' group")  Can anyone give any substantive reasons? For example, an comparative overlap of vocabulary, a distance metric of phonology, privately shared syntactic rules among all the rules in West German languages. How to grep standard error stream (stderr)? I am using ffmpeg to get the meta info of an audio clip. But I am unable to grep it.      $ ffmpeg -i 01-Daemon.mp3  |grep -i Duration     FFmpeg version SVN-r15261, Copyright (c) 2000-2008 Fabrice Bellard, et al.       configuration: --prefix=/usr --bindir=/usr/bin        --datadir=/usr/share/ffmpeg --incdir=/usr/include/ffmpeg --libdir=/usr/lib       --mandir=/usr/share/man --arch=i386 --extra-cflags=-O2        ...   I checked, this ffmpeg output is directed to stderr.  $ ffmpeg -i 01-Daemon.mp3 2&gt; /dev/null   So I think that grep is unable to read error stream to catch matching lines. How can we enable grep to read error stream?  Using  link, I redirected standard error stream to standard output stream, then grep worked.  $ ffmpeg -i 01-Daemon.mp3 2&gt;&amp;1 | grep -i Duration   Duration: 01:15:12.33, start: 0.000000, bitrate: 64 kb/s   But what if we do not want to redirect stderr to stdout? Proof of upper-tail inequality for standard normal distribution $X \sim \mathcal{N}(0,1)$, then to show that for $x &gt; 0$, $$ \mathbb{P}(X&gt;x) \leq \frac{\exp(-x^2/2)}{x \sqrt{2 \pi}} \&gt;. $$ Baby Rudin claim: $1+\frac{1}{3}-\frac{1}{2}+\frac{1}{5}+\frac{1}{7}-\frac{1}{4}+\frac{1}{9}+\frac{1}{11}-\frac{1}{6}...$ converges This sequence is a rearrangement of the series $1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\frac{1}{5}...$. Note that at this point in the text we do not have any theorem about the convergence of rearrangements.  Let $\{s_n\}$ be the sequence of partials sums of the series then for $n \ge 0$  $s_{3(n+1)} = \sum ^n _ {k=0} \frac{1}{4k+1} + \frac{1}{4k+3} - \frac{2}{4k+4}$  We can view it as the sequence(on $n$) of partials sums of  $\sum_0 a_n = \sum_0 \frac{1}{4n+1} + \frac{1}{4n+3} - \frac{2}{4n+4}$  Where $|a_n| = a_n = \frac{1}{4n+4}\{\frac{3}{4n+1}+\frac{1}{4n+3}\} \le \frac{1}{4n^2}$.  By the comparison test $s_{3(n+1)}$ converges to some real $\alpha$.  But $s_{3(n+1)+1} = s_{3(n+1)}+ \frac{1}{4n+5}$ and $s_{3(n+1)+2} = s_{3(n+1)}+ \frac{1}{4n+5}+\frac{1}{4n+7} $hence we have a partition of $\{s_n\}$ into subsequences which tend to $\alpha$ and this implies $s_n \rightarrow \alpha$.  Is my proof correct? Any alternative solutions are appreciated. Multicollinearity when individual regressions are significant, but VIFs are low I have 6 variables ($x_{1}...x_{6}$) that I am using to predict $y$. When performing my data analysis, I first tried a multiple linear regression. From this, only two variables were significant. However, when I ran a linear regression comparing each variable individually to $y$, all but one were significant ($p$ anywhere from less than 0.01 to less than 0.001). It was suggested that this was due to multicollinearity.  My initial research on this suggests checking for multicollinearity by using . I downloaded the appropriate package from R, and ended up with the resulting VIFs: 3.35, 3.59, 2.64, 2.24, and 5.56. According to various sources online, the point you should be worried about multicollinearity with your VIFs is either at 4 or 5.   I am now stumped about what this means for my data. Do I or do I not have a multicollinearity problem? If I do, then how should I proceed? (I cannot collect more data, and the variables are parts of a model that aren't obviously related) If I don't have this problem, then what should I be taking from my data, particularly the fact that these variables are highly significant individually, but not significant at all when combined.  Edit: Some questions have been asked regarding the dataset, and so I would like to expand...  In this particular case, we're looking to understand how specific social cues (gesture, gaze, etc) affect the likelihood of someone producing some other cue. We would like our model to include all significant attributes, so I am uncomfortable removing some that seem redundant.  There are not any hypotheses with this right now. Rather, the problem is unstudied, and we are looking to gain a better understanding of what attributes are important. As far as I can tell, these attributes should be relatively independent of one another (you can't just say gaze and gestures are the same, or one the subset of another). It would be nice to be able to report p values for everything, since we would like other researchers to understand what has been looked at.  Edit 2: Since it came up somewhere below, my $n$ is 24. I am trying to show $$\lim_{n\rightarrow \infty} \int_{[0,1]^n} \frac{|x|}{\sqrt{n}}dx=\frac{1}{\sqrt{3}}$$ where $[0,1]^n$ is the unit cube in $\mathbb{R}^n$. I would appreciate any hint. According to the documentation, they're pretty much interchangeable.  Is there a stylistic reason to use one over the other? Density of finite rank operator in compact operators on Hilbert spaces When do you use the "this" keyword? Loop-cut won't go all the way around I am using UBUNTU 18.10 and I had problem with TL-WN822n v5 driver in UBUNTU and Kali (4.19.0-kali5-amd64)  The problem is driver=rtl8xxxu so I found a driver in this page :   and installed the driver on Kali and it worked perfectly fine but when I wanted to install it on my ubuntu, after I ran the sudo dkms install rtl8192eu/1.0; I got this error :   Kernel preparation unnecessary for this kernel.  Skipping...  Building module: cleaning build area... 'make' all KVER=4.18.0-25-generic...(bad exit status: 2) ERROR (dkms apport): binary package for rtl8192eu: 1.0 not found Error! Bad return status for module build on kernel: 4.18.0-25-generic (x86_64) Consult /var/lib/dkms/rtl8192eu/1.0/build/make.log for more information.   and This is my Log file (/var/lib/dkms/rtl8192eu/1.0/build/make.log) :  DKMS make.log for rtl8192eu-1.0 for kernel 4.18.0-25-generic (x86_64) Sun Jul  7 13:35:02 +0430 2019 make ARCH=arm64 CROSS_COMPILE= -C /lib/modules/4.18.0-25-generic/build  M=/var/lib/dkms/rtl8192eu/1.0/build  modules make[1]: Entering directory '/usr/src/linux-headers-4.18.0-25-generic'   CC [M]  /var/lib/dkms/rtl8192eu/1.0/build/core/rtw_cmd.o gcc: error: unrecognized command line option ‘-mlittle-endian’; did you mean ‘-fconvert=little-endian’? make[2]: *** [scripts/Makefile.build:325:/var/lib/dkms/rtl8192eu/1.0/build/core/rtw_cmd.o] Error 1 make[1]: *** [Makefile:1534:_module_/var/lib/dkms/rtl8192eu/1.0/build] Error 2 make[1]: Leaving directory '/usr/src/linux-headers-4.18.0-25-generic' make: *** [Makefile:1710: modules] Error 2   What's the problem ?? How do I perform a biographical interview? I have a couple of elderly relatives who have not kept a journal and refuse to write down their "life story." I really would like to know their stories and who they were and who they are. They have their favorite stories that they rehash every time I see them, but I'd like to get more. I have no experience with "interviewing" and am looking for information on how to get their stories. Any websites, books, and or tips\techniques would be greatly appreciated. How to efficiently animate 2D scene spanning sprites in Unity? Our game is a 2D point-and-click adventure game.  One of the levels is set in a factory with conveyor belts that span the scene.  The game is hand animated in 2D and so animating these conveyor belts could potentially take up lots of memory since the sprites are as long as the screen (it's an HD game - 1920 x 1080). I'm not sure if tiled sprite shapes can be animated, so I was wondering if there's a prescribed way to handle larger sprite animation like this - efficiently. Is there any way to verify a cashier cheque? There are plenty of warnings around about forged cashier's cheques, and that if you deposit a forged one your bank will "hold you responsible".   What does it mean that the bank will "hold you responsible"? Clearly the money won't be credited. Will you be charged a fee like an NSF cheque? Will they try to prosecute you? Is there any way to confirm whether a cashiers cheque is forged? Could you for example tell your bank that you were uncertain of the origin, and ask them to confirm it? Can you call the issuer and verify (from the serial number) that they did in fact issue a cheque for that amount with you as the payee? Why can energy invested in RF radiation not be harvested fully? What are the main factors that affect this? Is there any significant research nowadays that fully describes this process? I stand on the conclusion: "Energy moves from one form to another.", but in this case why can it not be harvested in that quantity to use it for powering low-power devices or store it in significant quantities in some batteries for later use? Why is it not profitable nowadays and why is it not used today like energy from water, wind and other energy sources? Given the differential equation $$\dot x = -2x + u$$ determine the optimal control law $u = - kx$ that minimizes the performance index $$J = \int_0^{\infty} x^2 \, \mathrm d t$$  My approach was to find the state feedback $k$. But since the value of $R$ (positive semidefinite Hermitian) is not given, that means $R=0$. How do I determine the optimal control for this system where $R=0$? How to integrate $\int_0^{\infty} \frac{e^{ax} - e^{bx}}{(1 + e^{ax})(1+ e^{bx})}dx$ where $a,b > 0$. This  $$\ \int_0^{\infty} \frac{e^{ax} - e^{bx}}{(1 + e^{ax})(1+ e^{bx})}dx \text{ where } a,b &gt; 0. $$ is a problem that showed up on a GRE practice test. I believe you're supposed to use complex contour integration, but I'm not sure which contour to use. I think it's the keyhole contour, but I wasn't able to get anything useful. How to get the insert ID in JDBC?