Definition from Google, Living Below Your Means is defined as:     Spending less than what you're making. Ideally you're spending less than your last month's pay checks so you're not living pay check to pay check   What would be a good word to describe this?
My colleague and I were discussing about certain types of customers in the IT industry. You have to work extremely hard to convince them so that they think about opening their wallets .  However, they should not be mistaken to be stingy (carries a negative connotation). Cost-conscious is a closely related term but is a bit wordy. Another word that I considered is shrewd but I don't know if it fits my context well.  Usage Sentence:     Nowadays, IT customers are becoming increasingly ________. They demand more for less and probably think a zillion times before reaching for their pockets. If they are not convinced 100%, they simply won't open their wallets.    Is there is a noun or an adjective to describe such people? I am also open to using idioms, if there is one that conveys the intentions well.  N.B:  I am looking for words with neutral to positive connotations.
How to provide a counterexample for if $n$ is prime, then $2^n -1$ is prime I have the following question where I need to provide a counterexample     if $n$ is prime, then $2^n -1$ is prime   The statement is invalid and I now that $2^n -1$ is not prime when $ n = 11$, but other than plugging in prime numbers is there any other way to figure out whether $2^n -1$ is prime if $n$ is prime? How can I comment out a block of text in texmaker? I use texmaker and some time ago I found, by chance, a way to comment many lines at once, but I can't remember it now. Can somebody remind me of that? Boot drops to a (initramfs) prompts/busybox I am running an HP pavilion dv6000 dual boot win7 and Ubuntu 12.04. (well, up until today).  After a reboot, the boot process drops to the BusyBox shell and I end up at the prompt:  BusyBox v1.18.5 (Ubuntu 1:1.18.5-1ubuntu4) built-in shell (ash) Enter 'help' for a list of built-in commands.  (initramfs)   I've been researching others who have had this same problem, but haven't been able to find any of those solutions to work for me.  I tried the method described , and after the final command   mount -t ntfs-3g /dev/sda1 /root -o force   it does nothing and gives me another (initramfs) prompt.  I can boot to a live CD (USB) and get to a terminal, but it doesn't seem to do much good, as I can see the /dev/sda1 in the ls command, but it doesn't recognize it when I try to cd to it.  One more question: using the command fdisk -l how can I tell which mount point (sda1/sda2) is my windows partition and which one is Ubuntu? How can I let people join my minecraft server from diffrent versions? I'm reading through  for the , which contains this figure on page 16:    This is of course an instrumentation amplifier that apparently uses an inverting amplifier's output instead of a ground in the lower-right corner of the above figure, but what really perplexes me is the 100 k&Omega; resistors attached directly to the noninverting inputs of three of the four amps. I don't recall seeing an instrumentation amplifier circuit in books or application notes that have them, and all of the instrumentation amplifiers I've built using the three op-amp scheme works fine without them.  The datasheets specifies an input resistance of 1012 &Omega;, which is 10,000,000 times greater than 100 k&Omega;, so it doesn't seem to add anything to the already high-impedance JFET inputs. I thought perhaps it has something to do with input bias currents, but that's just me making a wild stab in the dark.  Curiously, figure 26 in the same datasheet (page 18) shows a two-op-amp version of an instrumentation amplifier without the 100 k&Omega; resistors at the noninverting op-amp inputs!  What's the purpose of the 100 k&Omega; resistors at the noninverting inputs in the above circuit? Am I missing something completely obvious? Even if many interesting similarities between the classical and the quantum mechanical framework have been worked out, e.g. in the subject of deformation quantization, in general, there are some mathematical problems. And in the conventional formulation, you don't want to make things like $\hbar\rightarrow 0$ for the expression $P=-\text i\hbar\tfrac{\partial}{\partial x}$.   In special relativity there are many formulas where one optains the non-relativistic formula by taking the naive limit $c\rightarrow \infty$, e.g.  $$\vec p=\frac{m\vec v}{\sqrt{1-|v|/c}}\ \rightarrow\ \frac{m\vec v}{\sqrt{1-0}}=m\vec v.$$  I wonder if it is know that you can always do that. Is there a formulation of special relativity (maybe it's the standard one already), where the starting assumptions/axioms/representations of objects of discourse involve the constant $c$, and as you take them with you to do all the standard derivations, you always end up with results which reduce to the Newtonian mechanics if you take that limit? How to import a module given its name as string? Infinite algebraic extension of a finite field I have recently started studying algebraic field extensions and I got to know that algebraic closures $\overline{F}$ of finite fields $F$ are infinite. Therefore, I've asked myself the following question and couldn't come up with an answer.  Suppose $F$ was a finite field, i.e. $|F| &lt; \infty$. Is it possible to construct an algebraic extension $F'$ of $F$ sucht that $|F'| = \infty$ and $F' \subsetneq \overline{F}$? Meaning, that $F'$ is not algebraically closed. Mobile phones and mobile internet in Italy Buongiorno! Suppose I step down from the plain in Fiumicino. What is the fastest way to get hold of Italian SIM-card with some talking minutes and some Internet? The latter is more important than the former.  So, my requirements:   Good coverage in main cities (Rome, Venice, Milan, Florence) Good for 2 weeks (after that I'm going to leave the country, the SIM is going to lose its value anyway) Good for massive internet usage is in store for maps, orientation, etc. Cheap. :)   Now, I know that there are 3 main communication providers in Italy: Vodafone, Wind and the third one. :) Which one? Which one won't leave me destitute and won't sue me over the border months after for some unknown reasons? What I have to look for? Why didn't Iron Man make Vibranium armor in Iron Man 2? In the movie Iron Man 2, Tony Stark figured out how to synthesize Vibranium. Why didn't he use it to make a new Iron Man armor? How to open Nautilus at current command line directory? I was wondering if anybody knew a command that would allow me to open a Nautilus (if that's the right name for the Ubuntu graphic/window explorer) window from the command line at the current directory that the user is at.  So, if I open a command line, and type:  cd /home/myUser/some/long/path/to/a/directory   Then, I'd like to be able to issue some command:  nautilus open-sesame   And have a graphic window opened to /home/myUser/some/long/path/to/a/directory. Is this even possible? How do I add a Javascript library to a field formatter? I'm trying to include a Javascript gallery () on my new Drupal 8 site and wrote a field formatter for this purpose.   Now I need to add the jQuery lightGallery to pages using this field formatter and call the library when the page is ready. I am confused about how I am supposed to do this, though.   I defined the library in the module containing my field formatter, but I'm not sure how I attach it only on sites that contain the field.   The documentation of the library uses the jQuery $(document).ready function to call the libary, how would that work inside a Drupal module? No surname on passport and applying for Japanese Visa REML or ML to compare two mixed effects models with differing fixed effects, but with the same random effect? Background:  Note: My data set and R code are included below text I wish to use AIC to compare two mixed effects models generated using the lme4 package in R.  Each model has one fixed effect and one random effect.  The fixed effect differs between models, but the random effect remains the same between models.  I've found that if I use REML=TRUE, model2 has the lower AIC score, but if I use REML=FALSE, model1 has the lower AIC score. Support for using ML: Zuur et al. (2009; p. 122) suggest that &quot;To compare models with nested fixed effects (but with the same random structure), ML estimation must be used and not REML.&quot;  This indicates to me that I ought to use ML since my random effects are the same in both models, but my fixed effects differ.  [Zuur et al. 2009.  Mixed Effect Models and Extensions in Ecology with R.  Springer.] Support for using REML: However, I notice that when I use ML, the residual variance associated with the random effects differs between the two models (model1 = 136.3; model2 = 112.9), but when I use REML, it is the same between models (model1=model2=151.5).  This implies to me that I ought instead to use REML so that the random residual variance remains the same between models with the same random variable. Question: Doesn't it make more sense to use REML than ML for comparisons of models where the fixed effects change and the random effects remain the same?  If not, can you explain why or point me to other literature that explains more? # Model2 &quot;wins&quot; if REML=TRUE: REMLmodel1 = lmer(Response ~ Fixed1 + (1|Random1),data,REML = TRUE) REMLmodel2 = lmer(Response ~ Fixed2 + (1|Random1),data,REML = TRUE) AIC(REMLmodel1,REMLmodel2) summary(REMLmodel1) summary(REMLmodel2)  # Model1 &quot;wins&quot; if REML=FALSE: MLmodel1 = lmer(Response ~ Fixed1 + (1|Random1),data,REML = FALSE) MLmodel2 = lmer(Response ~ Fixed2 + (1|Random1),data,REML = FALSE) AIC(MLmodel1,MLmodel2) summary(MLmodel1) summary(MLmodel2)  Dataset: Response    Fixed1  Fixed2  Random1 5.20    A   A   1 32.50   A   A   1 6.57    A   A   2 24.77   A   B   3 41.69   A   B   3 34.29   A   B   4 1.80    A   B   4 10.00   A   B   5 15.56   A   B   5 4.44    A   C   6 21.65   A   C   6 9.20    A   C   7 4.11    A   C   7 12.52   B   D   8 0.25    B   D   8 27.34   B   D   9 11.54   B   E   10 0.86    B   E   10 0.68    B   E   11 4.00    B   E   11 Description list with aligned descriptions is exactly what I'm looking for. I want my description environment to produce this:  Label is long   text  lab2            blalballalaa label3          possible second rule label four      hello world   Someone offered this:  \newenvironment{mydescription}[1]                                                   {\begin{list}{}%    {\renewcommand\makelabel[1]{##1:\hfill}%    \settowidth\labelwidth{\makelabel{#1}}%    \setlength\leftmargin{\labelwidth}    \addtolength\leftmargin{\labelsep}}}   {\end{list}}   Which works great (the parameter is the longest label), except I think the enumitem should be able to do this. Unfortunately, the documentation for it is extremely confusing to me. Could someone show me how to achieve the same result with enumitem? I've lost a command block, how can I find it? I've placed a command block making it day all the time. I want to turn it off, but I've lost it. What's the quickest way to find it? Exporting Data From Salesforce - REST or SOAP? How to create a custom Linux distro that runs just one program and nothing else? How to cross-reference an inequality with \cref? I have inequalities being cross-referenced by \cref as equations.  1-) How can I change that? (and still have inequalities with the same numbering as equations)  2-) How can I change that and have inequalities with their own numbering?  \documentclass[12pt]{article} \usepackage{amsmath} \usepackage{cleveref} \usepackage[letterpaper]{geometry} \begin{document}  \begin{flalign} &amp;f(x) \geq g(x)&amp; \label{i:positivity} \end{flalign}  Admitting that \cref{i:positivity} has a solution, ...    \end{document} I'm about to start exploring the world of long exposure shots, using my Canon EOS M. The camera has a standard max exposure time of 30 seconds, but in bulb mode I can keep the shutter open indefinitely (using a wireless remote to control the shutter.)  How long can I leave the shutter open without running the risk of prolonged exposure to light damaging my sensor?  For the purposes of this question assume I'm shooting in summer daylight, so that we can go by the worst case.