I need soup help. I am unable to make a homemade soup with pasta. If I make chicken noodle I have to add cooked noodles just before we eat it. Otherwise all my soups turn out like a goulash. The pasta absorbs all the water .   Today I cooked a very tasty, successful, tomato based, beef macaroni soup with zuchini.... o.m.g. yum! It did look like soup at one point. And I'm so glad I snuck a bowl while it was soup cuz I turned the burner off to let it cool, came back to goulash. No more soup. Ugh!  I've also failed at freezing left over homemade chicken noodle soup. The pasta turns to mush.  It sure tastes good. But not what I wanted Help!? Thanks guys!
Is there any way to add pasta to soup without the pasta doubling in size and getting mushy in the fridge later.I've even tried putting uncooked pasta in with the same result.
Let $F$ be a field and $v:F\rightarrow G\cup\{\infty\}$ be a valuation on $F$ so $G$ is a totally ordered abelian group with $\infty$ having the properties $\infty+\infty=g+\infty=\infty+g=\infty$ and $\infty\leq\infty$ for all $g\in G$, $\infty \notin G$.     Show if $v(a)\neq v(b)$ then $v(a+b)=\min(v(a),v(b)$).   I must be missing some trick here on how to show this is true.  My approach has been to use that $G$ is a totally ordered group so I start by assuming $v(a)\neq v(b)$ and letting my first case be $v(a)&lt;v(b)$ as trichotomy holds in $G$. By $v$ being a valuation on $F$, we then have that $v(a+b)\geq \min(v(a),v(b))=v(a)$. From here what I've tried doing doesn't seem to help much.  I've said lets assuming $v(a+b)&gt;\min(v(a),v(b))=v(a)$ and we also have $$v(a+b)&gt; v(a) \Rightarrow v(a+b)+v(a^{-1}) &gt; 0 \Rightarrow v(1+ba^{-1}) &gt; 0$$ and $$v(a)&lt;v(b) \Rightarrow 0&lt; v(b)+v(a^{-1}) \Rightarrow 0 &lt; v(ba^{-1})$$ also $$v(1+ba^{-1})\geq\min(v(1),v(ba^{-1}))=\min(0,v(ba^{-1}))=0.$$  How does one solve this? Last month, I was travelling on a backpacking trip across Russia and the Baltic states (Schengen zone). I'm an Indian by nationality. So I had to get the respective single entry visa for Russia and Schengen Europe.  At the border crossing into Estonia by road (at Ivangorod-Narva), I exited the Russian border with an exit stamp (so now I can't go back to Russia since I had a single entry visa). When I was at the immigration checkpoint of Estonia, I was heavily questioned on the intent of my travel to Europe while entering Estonia by road.   Though I finally got into Europe, It got me wondering - what happens if a foreign national is denied entry into a country not at the airport but by land between 2 countries he cannot go into ?  Generally, if you are denied entry at the airport the airline has the obligation to fly you back to your country. But what happens when you are stuck between two countries and you cant get into either ? What happens to you then ? Finding information on German soldiers from World War I and World War II? Where can I find information on German soldiers from World War I and World War II?   I am curious to find out about my ancestors' role in the wars, i.e. what rank they had, where they where fighting, with whom and anything else. How to delete directories with path/names too long for normal delete Is it possible to convert virtual machines to physical environments? What is the la command? I just mistyped ls as la. Without noticing, I ran it:  tim@Hairy:~$ la detection.sh   output-2.jpg  output-4.jpg  output-6.jpg  output-8.jpg Test1.pdf output-1.jpg   output-3.jpg  output-5.jpg  output-7.jpg  output-9.jpg          tim@Hairy:~$ ls detection.sh   output-2.jpg  output-4.jpg  output-6.jpg  output-8.jpg Test1.pdf output-1.jpg   output-3.jpg  output-5.jpg  output-7.jpg  output-9.jpg    What's the difference between ls and la? So I know umask can restrict privileged users, using this format umask ugo.  I understand that the read = 4, write = 2, and exec = 1. However, when I type umask, it returns 4 digits which is 0022 or 0073. I have no understanding of how does this work now because there is an extra digit. What is that extra digit and what does 0022 mean? I want to enable telnet on Windows 10.  I only see a telnet client but not a telnet server.  There is a web page telling me to open server manager and do a lot of stuff.  But, I don't have a server manager.  Please help!  I want to enable telnet. Masking problems I am working with masking. Here is my node setting with the mask.   And here is my node settings  And what am i getting is this.    I tried invert node and many settings. It just doesnt work. Where am i going wrong How do I get lightning:datatable to do some undocumented thing X? Canonical Question  I want to do &lt;some really cool thing&gt; with a lightning:datatable, but I can't seem to figure out how to do it. I checked the , but I did not see a way to implement &lt;this really cool feature I need&gt;.  Perhaps I want to provide tooltips, or a pick list, or alter the behavior of the menus, or display images, or show a custom component I created, or define a new row-level click behavior, or alter the keyboard event handlers, etc.  Can I somehow do this? Reference for $\text{Var}(X)\le (b-a)^2/4$ I am not a statistician, but am working a proof for the upper bound of an expression which contains the variance of a variable which obtains its values from a closed interval, [0,1]. I have seen in several places (mostly forums and web pages) the result that $\text{Var}(X)\le \frac{(b-a)^2}{4}$ for $a\le X\le b$. I would like to use, and cite, this result but am having an unusually difficult time finding a solid reference. Could someone here recommend one for me? Given $a,b,c,d \in \mathbb{Z}$, there is $x,y$ such that  $$(a^2 + b^2)(c^2 + d^2) = x^2 + y^2$$  One can show this by considering the complex number $a + bi$ and $c+ di$, using complex properties to deduce that $x = ac - bd, y = ad + bc$ is a solution.   However, given that either $a^2, b^2$ are distinct or $c^2,d^2$ are distinct, then how can one can find nonzero solutions $x,y$?  Sorry, I am assuming $a,b,c,d$ are nonzero. How to make a process invisible to other users? How could you launch a process and make it invisible to the top command? The process is started by a normal user (not root), and should not be visible to other normal users. Let $X \ge 0$.  Show  \begin{align} \lim_{y\to\infty} y\,\Bbb{E}\left[ \frac1X \cdot1_{X&gt;y} \right] &amp;= 0 \quad\text{and} \\ \lim_{y \downarrow 0} y\,\Bbb{E}\left[ \frac1X \cdot1_{X&gt;y} \right] &amp;= 0. \end{align}  N.B.: The author doesn't assume $\Bbb{E}[1/X] &lt; \infty$.    My try:  Since the expectation appears on the RHS of Markov's inequality, I don't think this inequality can be applied to solve this question.  $$ \begin{aligned} y\,\Bbb{E}\left[ \frac1X \cdot1_{X&gt;y} \right] &amp;= \Bbb{E}\left[ \frac{y}{X} \cdot1_{X&gt;y} \right] \\ &amp;&lt; \Bbb{E}\left[ 1 \cdot1_{X&gt;y} \right] \\ &amp;= \Bbb{P}(X &gt; y) \\ &amp;\xrightarrow[y\to0]{} \Bbb{P}(X \ge 0) = 1 \end{aligned} \tag1 \label1 $$  For the first part $y \to \infty$, I apply Markov's inequality at the row $\Bbb{P}(X &gt; y)$ in \eqref{1}, so that $$\Bbb{P}(X &gt; y) \le \frac{\Bbb{E}[X]}{y} \xrightarrow[y\to\infty]{} 0?$$ But I don't have $\Bbb{E}[X] &lt; \infty$.  Thanks for any help. Inline math equation Point size How to change all equations point size(inline and display equations) globally, point size worked in within \begin{array}...\end{array} but not changed for $....$?  Please find MWE file:  \documentclass{book} \usepackage{amsmath,array} \usepackage{stix}  \everydisplay{\fontsize{15pt}{18pt}\selectfont} \everymath{\fontsize{15pt}{18pt}\selectfont}  \parindent0pt \begin{document}  Use the alternative calculation described above. In comparing the two values, you want to consider fluctuations in inventory over time. Use the alternative calculation described above. In comparing the two values, you want to consider fluctuations in inventory over time.  $\alpha\beta\gamma\delta\epsilon0123456789+-$ \bigskip  $\begin{array}{@{}l}\alpha\beta\gamma\delta\epsilon0123456789+-\end{array}$   \begin{align*} \alpha\beta\gamma\delta\epsilon0123456789+- \end{align*}  \end{document} Linux: clnt_create: RPC: Program not registered NFS mounts recently automatically got un-mounted. When I checked, the NFS service status it was shown to be running.  [root@hsluasrepo]# service nfs status rpc.svcgssd is stopped rpc.mountd (pid 4083) is running... nfsd (pid 4148 4147 4146 4145 4144 4143 4142 4141) is running... rpc.rquotad (pid 4079) is running...  [root@hsluasrepo]# service rpcbind status rpcbind (pid  4203) is running...  [root@hsluasrepo common]# rpcinfo -p 10.80.3.154    program vers proto   port  service     100000    4   tcp    111  portmapper     100000    3   tcp    111  portmapper     100000    2   tcp    111  portmapper     100000    4   udp    111  portmapper     100000    3   udp    111  portmapper     100000    2   udp    111  portmapper   But showmount output was showing an error.  [root@hsluasrepo ]# showmount -e 10.80.3.154 clnt_create: RPC: Program not registered   After restarting the NFS service, showmount output displayed the NFS server's export list.  Can anyone tell me the root cause of this issue and How to avoid this problem in future?  /var/log/messages:  Jul 7 03:22:01 hsluasrepo rsyslogd: [origin software="rsyslogd" swVersion="5.8.10" x-pid="1188" x-info="rsyslog.com"] rsyslogd was HUPed Jul 7 03:22:02 hsluasrepo rhsmd: In order for Subscription Manager to provide your system with updates, your system must be registered with RHN. Please enter your Red Hat login to ensure your system is up-to-date. Jul 8 03:22:01 hsluasrepo rhsmd: In order for Subscription Manager to provide your system with updates, your system must be registered with RHN. Please enter your Red Hat login to ensure your system is up-to-date. Jul 8 16:36:55 hsluasrepo kernel: nfsd: last server has exited, flushing export cache Jul 8 16:36:55 hsluasrepo rpc.mountd[4083]: Caught signal 15, un-registering and exiting. Jul 8 16:36:55 hsluasrepo rpc.mountd[24463]: Version 1.2.3 starting Jul 8 16:36:55 hsluasrepo kernel: NFSD: Using /var/lib/nfs/v4recovery as the NFSv4 state recovery directory Jul 8 16:36:55 hsluasrepo kernel: NFSD: starting 90-second grace period Jul 8 16:37:32 hsluasrepo rpc.mountd[24463]: authenticated mount request from 10.60.5.208:1004 for /common/PROD (/common/PROD) Jul 8 16:38:09 hsluasrepo rpc.mountd[24463]: authenticated mount request from 10.60.5.181:869 for /common/PROD (/common/PROD)  Jul 8 16:38:43 hsluasrepo rpc.mountd[24463]: authenticated mount request from 10.60.5.180:825 for /common/PROD (/common/PROD) Jul 8 16:39:12 hsluasrepo rpc.mountd[24463]: authenticated mount request from 10.60.5.176:688 for /common/PROD (/common/PROD) Why is the year NOT displayed in the questions and comments dates? Why is it that the year is never displayed in the questions or comments? Is it because it is the current year? I, and maybe others, wonder. Do you know a good way to compare PDF files side-by-side and show the modifications between the two?  I'm looking for Windows software to accomplish this. It would be great if you can post both free and not-free products. UK Visa Status check I have a US Green Card and applied for UK visa (Travel Visa) last month but haven't heard anything back from the New York Office. I am travelling on the 19th and am really concerned. They don't have any phone no. or email other than NEYOZVisaInfo@fco.gov.uk (it says incoming mail cannot be monitored).  Please assist. How to sort a Google Sheets Query by a custom ordering I have a table of choir members with a “name” and a “voice type” column. How can I write a query that orders them by decreasing pitch level of the voice type (i.e. soprano > contralto > tenor > bass)?  Is there in the  something similar to ?  I also tried the , but it does not seem to have an option for custom ordering, either.