I'm trying to select the best model by the AIC in the General Mixed Model test. The best model is the model with the lowest AIC, but all my AIC's are negative!   So is the biggest negative AIC the lowest value? Or is the smallest negative AIC the lowest value, because it's closer to 0?   For example is AIC -201,928 or AIC -237,847 the lowest value and thus the best model?
I have calculated AIC and AICc to compare two general linear mixed models; The AICs are positive with model 1 having a lower AIC than model 2.  However, the values for AICc are both negative (model 1 is still &lt; model 2).  Is it valid to use and compare negative AICc values?
Roth-IRA withdrawal penalty: 10% of what? Early non-exempt withdrawal from a Roth-IRA results in a "10% penalty". A 10% penalty on what amount: The amount withdrawn? The remaining balance of the Roth IRA? Both?   Insight appreciated Insert only half a pdf page I'd like to include papers of mine which can easily be done with the pdfpages packages:  \usepackage{pdfpages} \includepdf[pages=-]{mypaper.pdf}   However, my thesis has an A5 format. Which means that each page is "half" an A4 page. Basically, I'd like two include each PDF page on two pages, like illustrated below:    While I found how to rotate the PDF using the angle parameter, I did not find how to split it... How do I tell a Python script to use a particular version I had booked a ticket for travel through Indian Railways using IRCTC and got a confirmed ticket. While booking, I forgot to mention the details of a one year old child who will also be traveling.     Will it create any problem while boarding the train? How do I generate a random int value in a specific range? I have tried the following, but those do not work: Attempt 1: randomNum = minimum + (int)(Math.random() * maximum);  Bug: randomNum can be bigger than maximum. Attempt 2: Random rn = new Random(); int n = maximum - minimum + 1; int i = rn.nextInt() % n; randomNum =  minimum + i;  Bug: randomNum can be smaller than minimum. Limit bandwidth used by Windows Update I have a Windows 8 (64-bit, not Pro) machine, and I want to limit the Internet bandwidth available to Windows Update. I read about BITS and GPMC methods, but I don't know how to open the BITS window, and GPMC seems like a Windows Server feature.  How can I control how much bandwidth is available to Windows Update and BITS? Lightsaber blade "weight" in-universe Change the default size of square brackets in latex math mode Personally I think the default size of square brackets in latex math mode is too small. For example, for an interval [a,b], I would prefer \big[\big] as opposed to plain []. My question is, what can I do to change the default size of [], so that when I input [] in math mode, they will show up automatically the same size as \big[\big]?  Right now I'm defining a new command called \b{} which takes one argument and inserts it between \big[ and \big], but the code looks ugly. Apparently \newcommand (or \def or \let) does not allow [ to be refined.  Any help is much appreciated. Thanks. How can I depict vehicle traffic during daytime in a long exposure without washing out the vehicles? I was going to make a filter for the &quot;&quot; by excluding some sites from it.  I noticed  which talks about &quot;negative filtering&quot; but does not explain how one can do it or if it is possible.  There does not seem to be a way to do this, though.  On the filter page, my only options are:  So how can I do &quot;All sites except [list]&quot;? It would also be nice if this could include similar functionality with the meta checkbox.  Something like &quot;All main &amp; meta sites except...&quot; Limit of $\cos(x)/x$ as $x$ approaches $0$ As the title says, I want to show that the limit of  $$\lim_{x\to 0} \frac{\cos(x)}{x}$$  doesn't exist.  Now for that I'd like to show in a formally correct way that   $$\lim_{x\to 0^+} \frac{\cos(x)}{x} = +\infty$$  I'm sure this is right since $\displaystyle\lim_{x\to 0^+} \cos(x) = 1$ and $\displaystyle\lim_{x\to 0^+} x = 0$, but since $\displaystyle\lim_{x\to 0^+} x = 0$ I can't just say:  $$\lim_{x\to 0^+} \frac{\cos(x)}{x} = \frac{1}{\displaystyle\lim_{x\to 0^+} x}$$   Things I tried: expand the fraction and use L'Hospital's rule (This didn't seem to yield results even though I tried quite a few things, should it? If it does, should it always work? It worked for similar problems) and going by the definition of the limit which didn't work for me either.  I'm grateful for any hints for doing this problem and similar problems especially. I want to know, is there a way to make a tungsten lightbulbs filament withstand a mass amount of thermal shock while still producing a vast amount of heat? I need a shapefile for India which is up-to-date to display the regional borders. By up-to-date (in 2014), I mean that it includes Telangana as a state. Many shapefiles that I downloaded do not have Telangana as a state as it was partitioned a month ago, it is displayed as part of Andhrapradesh.  So I need the latest shapefile. This has been a old live-action movie from Asia, most likely Japan. I've seen it some time in the late 80's and I think it's been black/white only.  Earth is invaded by UFOs (small and round, like flying balls), coming from Mars.  Japan (I think) built some kind of super spaceship, initially hidden within some secret port in some kind of island/mountain.  The spaceship looks similar to a classic battleship, but with an added drill below the front.  In the movie's finale it's revealed that this is some kind of   super weapon/bomb that has to be manually piloted by someone. When launched it starts rotating and flies (formed like a bullet but with the drill/corkscrew head).   To defend Earth, the ship is sent on a mission to Venus, where the UFOs seem to originate. I don't remember the specific reason or conclusion here.  The ship starts underwater or launches from the mountain on the island, then taking off and fighting UFOs while leaving Earth's atmosphere. Overleaf does not compile after using Biblatex I have my PhD deadline on Monday and disaster has struck at the very last minute! Any assistance would be eternally appreciated.  I'm using Overleaf (v2) to write my thesis - it's a very large file tree containing multiple .tex files.  Everything was compiling fine, until I decided to experiment and use:  \usepackage{biblatex}   It compiled with this included but looked odd, so I deleted the line again. However, now it does not compile - despite the document being exactly the same as before the problem began. Why I can't apply mirror modifier? Here's screen try+gerund/infinitive (Difference in meaning) How should I address a potential FERPA violation by a professor? In the United States, federal law prohibits professors from releasing any student's grades to any party other than the student and any party whom the student authorizes to receive the grades.  One of my professors appears to be violating this law by uploading each student's lab grades in one file, which is accessible to anyone who is enrolled in the class.  Here is my proposed plan of action:   Ask the professor - in private - to post the grades using the online management system the professor already uses for other things.  If the professor doesn't fix this privacy violation, inform the professor that the method by which he/she post grades is a violation of federal law. As a last resort, contact the department dean. Notation question: $\ll$ $|f'(x)| \le g(x)$ implies $|f(b) - f(a)| \le \int_a^b g(x) dx$, without assuming $f'$ to be integrable.