Store results of inequality
Assign the results from a Solve to variable(s)
There have been a few questions regarding installing this package in the past, but they now seem to be out of date. I'm using MiKTeX 2.9 and TexMaker. When I try \usepackage{mathtools} in TexMaker it will try to install the package for me but will fail. I took the advice given in this thread:   As suggested I tried installing the mh package using the MiKTeX Package Manager, unfortunately I get the "unknown archive size" error, which I have read means that the package no longer exists. Another thread (lost the link) said you can use the MiKTeX Package Manager to directly install mathtools, however I do not see mathtools listed anywhere in the MiKTeX Package Manager...   So I ask, is the package under a different name? Are there any other ways to install this package? Where can I find 32-bit version of Ubuntu? I need to find the 32-bit version, and all I keep finding is the 64-bit. Can anyone provide me with a link? Why do students go for a PhD even when chances of getting academic jobs on its completion are slim? This is in reference to my question: .  I was told in the answer of the above linked question that chances of landing a job as an assistant professor in Mathematics are quite slim. Very few people will actually get a permanent position in academia.  An article of 2014 shows only 0.5-3% of PhD graduates will actually get a job as an Assistant Professor.  But I have two questions:        Why do so many people still apply for a PhD in some reputed institutes in India even knowing the harsh reality? I found there are 1500 applications for four PhD scholarship positions.          One answer says that people move to industry, but I still don’t understand how after doing a PhD in suppose differential geometry or algebraic geometry one can do a job in industry if he/she gets no position as an assistant professor.   Will one be satisfied to do some managerial work in some Consultancy firm after doing a PhD in Mathematics?      Are people jobless after a PhD?   Completion of a PhD requires so much effort. So why is there no value after doing it?      NOTE:  In the most up-voted answer below it has been said that many who enroll for  a PhD don't even wish to pursue an academic career.  I have been asking my seniors who are currently pursuing a PhD or are in the verge of completing their degree or who have completed it. They said that they all want to be Professors in some Universities and want to be involved in research because that is the dream job for them.  I am obviously talking about PhD in Mathematics Word for romantic partner you are living with but not married to Close vote review audit flawed - fails without casting vote Rescuing/Compiling old TeX file starting with “\input amstex” I have come across an ancient (1995) LaTeX file which was (surely) once compliant, but now does not compile at all. Is there any way to rescue it?  My actual question is much more precise. I want a copy of the follow paper on the arXiv:    Downloading the pdf source produces something which looks like a document on a4 paper printed on US letter (the bottoms of some pages are cut off). However, if you download the TeX source from the arXiv, then it doesn't compile (even adding .tex, naturally). I'm using an up to date version of TeXshop on a mac. If a user is the type of person to consecutively get downvoted to potential negative reputation, so be it. What's the reasoning to maintain a minimum of one?  One reason that may justify this is of trying to not deter new users from the site who haven't read the FAQ and unknowingly and wrongly ask or answer a question. But most of us acknowledge this and not downvote in such a scenario.  So what's the reasoning behind this lower bound of 1? Does this recursive sequence have a closed-form? For example, rigid bodies and fluid. I know it's kind of possible by setting the rigid bodies as fluid obstacles, but it's not "true" interaction in that the fluid does not affect the rigid bodies...  By "true" interaction I mean where two (or more) physics systems affect each other simultaneously. For example, with rigid body and cloth, the rigid body affects the cloth but the cloth doesn't affect the rigid body (at least the way I'm doing it), so the rigid body just eventually stretches the cloth to an extreme and falls through...  Are there any ways to achieve this? (for any interaction, not just rigid bodies and fluid)  Or, if not, does anyone know whether there are any plans to implement this sort of feature?  Thanks How do I efficiently compute $a^b\bmod c$:  When $b$ is huge, for instance $5^{844325}\bmod 21$? When $b$ is less than $c$ but it would still be a lot of work to multiply $a$ by itself $b$ times, for instance $5^{69}\bmod 101$? When $(a,c)\ne1$, for instance $6^{103}\bmod 14$?  Are there any other tricks for evaluating exponents in modular arithmetic?  This is being asked in an effort to cut down on duplicates, see  and . elementary row operation change the eigenvalue of a matrix What is the difference between "Redirection" and "Pipe"? This question may sound a bit stupid, but I can not really see the difference between redirection and pipes.  Redirection is used to redirect the stdout/stdin/stderr, e.g. ls &gt; log.txt.  Pipes are used to give the output of a command as input to another command, e.g. ls | grep file.txt.  But why are there two operators for the same thing?  Why not just write ls &gt; grep to pass the output through, isn't this just a kind of redirection also? What I am missing? Can I "fill" an empty object? Why does the order in which libraries are linked sometimes cause errors in GCC? Why does the order in which libraries are linked sometimes cause errors in GCC? How to edit `postgresql.conf` with pgAdmin 3? So I've been pulling my hair out over this for the last couple days now, I can't seem to find any solutions that work. I've fresh installed Ubuntu Gnome 16.04 on my system which has no other OS's running on it. Everything's fine aside from the fact that the default Nouveau display driver seems to be causing the UI to freeze sporadically every now and then. No problem right? Just install the proprietary drivers for my GPU and we should be golden? Well here's the thing, no matter how I try to get my GPU's drivers installed I always seem to hit some sort of issue. Here's what I've tried so far:   Switch to the proprietary driver from within the 'Software &amp; Updates' app in Ubuntu. For me the only option available is the 'NVIDIA binary driver - version 375.66 from nvidia-375 (proprietary, tested)'.    After selecting this driver it goes through the install process, asks me to 'configure secure boot' by entering a password, etc. This all seems to work fine initially until I reboot, but then before I see the login screen it seems to open a virtual terminal (usually accessed via alt+shift+F1), but then immediately boots me back to a black screen where it will flash this terminal for a split second every 4 seconds or so. I can access this terminal by using alt+shift+F1, and go on to use it as normal, but it will continually boot me back out to the black screen every few seconds. The only way I can solve this is to keep accessing the terminal each time it boots me out while I purge the nvidia drivers using sudo apt purge nvidia-*. After purging I'm then able to access the login screen and access my Ubuntu again as normal, besides having to reboot to presumably activate the Nouveau drivers again otherwise the resolution is all messed up and only one of my three monitors has anything displayed on it.    Using the steps listed  I download the latest stable/certified driver for my GPU (which as of writing this is version 384.69). However on step 3 where it instructs me to run the driver using sudo sh, I reach an issue where the installer informs me that I need to disable the Nouveau driver in order to continue. I've tried everything from uninstalling Nouveau using 'sudo apt-get remove --purge xserver-xorg-video-nouveau` to blacklisting Nouveau using the steps listed , by editing the 'nvidia-graphics-drivers.conf'.    Unfortunately no matter what I do to try and disable Nouveau the installer always informs me that the Nouveau driver is enabled and needs to be disabled in order to continue. What's funny is that I managed to install the driver using this method once before, but for the life of me I can't get it to work again.    Finally, I've attempted to install the driver by installing the PPA. I run sudo add-apt-repository ppa:graphics-drivers/ppa, sudo apt update, and finally going back into the 'Software &amp; Updates' app and select the 384.69 driver. However after going through the install process the same issue as described in my first method (1.) occurs.    I've also tried switching between gdm3 and lightdm with all 3 methods to no avail. I'm at a complete loss as to what to do. If anyone has any possible solutions I'd love to hear them, because right now I'm at the end of my tether.   If you require any further information just let me know and I'll be more than happy to provide it.   System info:   AMD FX-8350  Nvidia GeForce GT710 1gb  16gb RAM  Ubuntu Gnome 16.04 LTS I just learned about the C++ construct called "placement new".  It allows you to exactly control where a pointer points to in memory.  It looks like this:   #include &lt;new&gt;        // Must #include this to use "placement new"  #include "Fred.h"     // Declaration of class Fred   void someCode()  {    char memory[sizeof(Fred)];    void* place = memory;     Fred* f = new(place) Fred();   // Create a pointer to a Fred(),                                   // stored at "place"     // The pointers f and place will be equal     ...  }    (example from ) In this example, the this pointer of Fred will be equal to place.    I've seen it used in our team's code once or twice.  In your experience, what does this construct enable?  Do other pointer languages have similar constructs?  To me, it seems reminiscent of equivalence in FORTRAN, which allows disparate variables to occupy the same location in memory. Triangular Factorials I came across a statement online and have been looking for a proof :  It states that 1, 6 and 120 are the only numbers which are both triangular and factorials.  Is there any way I can prove this? This claim looks too 'big' and I've tried to prove it but  I couldn't. Can anyone help me to prove this? Google Chrome: Version 32.0.1700.107 m  This happens when displaying the profile and clicking on the number of visited days/consecutive.  . Why multiplicative group $\mathbb{Z}_n^*$ is not cyclic for $n = 2^k$ and $k \ge 3$