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Why does getopts only work the first time? How can I change the default "ens33" network device to old "eth0" on Fedora 19? Property of Entire Functions Suppose $f$ and $g$ are entire functions with $|f(z)|\leq|g(z)|$ for all $z$.  How can we show that $f=cg$ for some complex constant $c$?  Thanks for any help :) $z$ is a complex number, by the way.  I've tried a lot of things and always end up with a huge algebraic mess and I've wondered if anyone of you has any idea on how to approach this problem.  One of the most "satisfactory" things I've done so far is to expand both the real and imaginary parts for the equation \vert z + 1/z \vert^2 = a^2. These parts yield the constraints:  $2xy(1+1/(x^2+y^2)^2)=0$ ;   $x^2-y^2+\frac{2(x^2-y^2)}{x^2+y^2}+\frac{(x^2-y^2)}{(x^2+y^2)^2}=a^2 $  I've graphed the equations and supposedly the intersection should be my set of points, but this method is far from analytical.  What can I do? Any hints on how to approach this? Is the collapse of the wave function inherently time asymmetric? How to create an annuity timeline on LaTeX I was wondering, how can I create a timeline exactly like this one:    on LaTeX?  I am a Finance student, and write all of my notes using LaTeX. These timelines, are giving me a headache. Since we use a lot of different timelines because of annuities. I want to learn how to create one basic timeline, so that I can then change anything I want. But basically, I want something like this, with the arrows and everything.  Thank you so much guys! I found the .bashrc file and I want to know the purpose/function of it. Also how and when is it used? Does installing and using Wine open up your Linux platform to Windows viruses? Rendering order in an Entity System Say I use a , and also inside Systems I hold lists of all entities that Systems are required to process.  How do I maintain this list of entities in desired rendering order, i.e. for a dumb 2D RenderingSystem?   I saw , and what they suggest is to do something like Z ordering - what I would probably do is just to store a "layer" int in DrawableComponent and then, inside RenderingSystem, just sort entities by mentioned "layer" whenever the entity list for RenderingSystem changes.  They also say we could just delete and recreate the entity whenever we want it on the top, but it seems too inflexible to me.  How is this problem usually solved? I am taking a course in Mathematical Methods for physicsPhysics (Junior Level).   We are working from   > Mathematical Methods for physicists, George B.Arfken .    I just need online resources covering ( Matrices, Determinants, Vector Analysis, Tensors and differential forms and Vector spaces...etc) to study and understand from. I am looking for a reference which has a self-contained (elementary, that is, at the "undergraduate algebra level") proof of the the fact that any one-dimensional Noetherian UFD is a PID. Does anyone know such a reference?   (Note: I have looked at the similar questions on this website but don't find them particularly useful). Which loss function is correct for logistic regression? I read about two versions of the loss function for logistic regression, which of them is correct and why?  From  (in Chinese), with $\beta = (w, b)\text{ and }\beta^Tx=w^Tx +b$: $$l(\beta) = \sum\limits_{i=1}^{m}\Big(-y_i\beta^Tx_i+\ln(1+e^{\beta^Tx_i})\Big)  \tag 1$$  From my college course, with $z_i = y_if(x_i)=y_i(w^Tx_i + b)$: $$L(z_i)=\log(1+e^{-z_i}) \tag 2$$    I know that the first one is an accumulation of all samples and the second one is for a single sample, but I am more curious about the difference in the form of two loss functions. Somehow I have a feeling that they are equivalent. Are there any references to Eru or the Valar in the Lord of the Rings movies? The closest references to Eru or the Valar in Peter Jackson's Lord of the Rings and The Hobbit movies I can think of are Gandalf's vague description of his resurrection ("I've been sent back... until my task is done.") and his later description of Aman to Pippin ("White shores and beyond, a far green country under a swift sunrise." -- as an aside, he's taunting Pippin here, since Hobbits suffer from the Gift Of Men) and the equally vague information viewers are given about where the elves are going when they leave Middle Earth.  Are there any more direct references I'm missing? Maybe a mention of Aule by a dwarf? I accidentally killed the orphanage lady before I started the quest. She just pissed me off, sadly it will not acknowledge that I have finished the quest and I haven't been contacted. Is there another way to join the Dark Brotherhood? The idea behind the sum of powers of 2 I know that the sum of power of $2$ is $2^{n+1}-1$, and I know the mathematical induction proof. But does anyone know how $2^{n+1}-1$ comes up in the first place.  For example, sum of n numbers is $\frac{n(n+1)}{2}$. The idea is that we replicate the set and put it in a rectangle, hence we can do the trick. What is the logic behind the sum of power of $2$ formula? Call java program from Node.js application How to write a survey paper? How can I cast int to enum? How can an int be cast to an enum in C#? When I gain control of a creature, do I also gain control of any auras or equipment attached to it? Possible bug in sidebar "question asked:" date I asked  yesterday, approximately 18 hours ago ("2011-12-13 20:24:03Z" according to the hover text), and it's still being displayed as "today".  I assume the "Z" in the timestamp refers to Zulu time, so I , and the date (2011-12-14) differs from the timestamp on the question.  I don't pretend to understand all of the complexities when converting time zones, but I thought it was strange enough to report. If it matters at all, I'm in US-Eastern.