Exercise about differential forms and pull-back: $\omega_p=0$ if and only if $(\omega|_U)_p=0$
If $\omega \in \Omega^q(M)$, and $(\omega|_{U})_p = 0$, is $\omega_p = 0$?
We have a SBS 2011 server with 16GB memory that runs Exchange, WSUS and File Sharing for approx 20 users. The server also gives 2GB memory to a virtual machine running in Hyper-V so 14GB left for the rest.  When the server first boots Store.exe consumes about 500MB memory, WSUS and IIS consume some as well, but we generally are only at 60% capacity. During the course of the working day Store.exe consumes 8GB memory and the server sits at approx 97% capacity.  This makes using the server very slow, logging on via RDP is slow, general server admin is slowed down.  Is this normal? I have read that Exchange will consume lots of memory that it does not neccessarily need and then releases it back to other applications that need it. I have also checked that all mailboxes are opened in cached mode. We do have some external uses who connect via Outlook Anywhere or OWA.  If it's deemed to be "normal" is there some way I can restrict it using ALL available memory and leave a little bit for SBS to use for server admin? I have seen some articles regarding setting a high and low memory flag but rumours that this does not work with update rollup 5 which we have installed.  Am I expecting a single server to do to much with only 14GB memory?  Thanks $\hbar \rightarrow 0$ in quantum mechanics We often see a limit $\hbar \rightarrow 0$ in quantum mechanics and sometimes it's related with symmetry breaking. Can someone briefly write the story behind this limit? Significant predictors become non-significant in multiple logistic regression When I analyze my variables in two separate (univariate) logistic regression models, I get the following:  Predictor 1:    B= 1.049,    SE=.352,    Exp(B)=2.85,    95% CI=(1.43, 5.69),    p=.003    Constant:    B=-0.434,    SE=.217,    Exp(B)=0.65,                            p=.046  Predictor 2:    B= 1.379,    SE=.386,    Exp(B)=3.97,    95% CI=(1.86, 8.47),    p&lt;.001    Constant:    B=-0.447,    SE=.205,    Exp(B)=0.64,                            p=.029   but when I enter them into a single multiple logistic regression model, I get:  Predictor 1:    B= 0.556,    SE=.406,    Exp(B)=1.74,    95% CI=(0.79, 3.86),    p=.171 Predictor 2:    B= 1.094,    SE=.436,    Exp(B)=2.99,    95% CI=(1.27, 7.02),    p=.012    Constant:    B=-0.574,    SE=.227,    Exp(B)=0.56,                            p=.012   Both predictors are dichotomous (categorical). I have checked for multicollinearity.  I am not sure if I have given enough info, but I cannot understand why predictor 1 has gone from being significant to non-significant and why the odds ratios are so different in the multiple regression model. Can anyone provide a basic explanation of what is going on? Chen weibull distribution Laravel - Populating Select List with Derived Values How can I read input from the console using the Scanner class in Java? parsing a date string from FTPClient.getModificationTime() Since humans are not large in mass, do we exert enough gravitational force for a small object to orbit around us? (Assuming that the only gravitational force acting on the object is from the human). Using Newton's law of gravity and using myself as the human mass, I exert a 10^-8 force on a 1 kg object .5 meter away, but I am not sure if even this small of a force will be acceptable. What is the baseline "force" between two objects for 1 to orbit another?  Edit: I am not sure if this is a SpaceExchange question. Difference between standard beta and unstandard beta distributions? What is the difference between standard beta and unstandard beta distributions? How to understand in an article if it is not described if it is standard or not? Why is removing instationarities a good thing when trying to forecast a time series? When exactly does tmpwatch clear out files I place in /tmp? I am going to put an additional (non-USB) hard drive in my system. I already have Ubuntu on my other hard drive so I do not want to install Ubuntu on the additional drive but only use it for storage. How do I add the additional hard drive to my Ubuntu system, e.g. make Ubuntu recognize it and mount it properly? Easy way to model spiral engraving (knurling) that is usually used on metal for better grip? What is the easiest way to model this diamond grip pattern into a cylinder? Motivating the ansatz for the infinitesimal translation operator This is a  about avoiding outgoing mail being classified as spam.   Also related:                    I'm wondering how to prevent my emails from my site being marked as spam? I'm using sendmail.  I'm trying to send emails through my ruby-on-rails application. The mails are all written in swedish (if that does make a difference?). I don't know why they keep getting marked as spam.  Are there any things that I can do to minimize the risk? How to Deserialize XML document How do I Deserialize this XML document:  &lt;?xml version="1.0" encoding="utf-8"?&gt; &lt;Cars&gt;   &lt;Car&gt;     &lt;StockNumber&gt;1020&lt;/StockNumber&gt;     &lt;Make&gt;Nissan&lt;/Make&gt;     &lt;Model&gt;Sentra&lt;/Model&gt;   &lt;/Car&gt;   &lt;Car&gt;     &lt;StockNumber&gt;1010&lt;/StockNumber&gt;     &lt;Make&gt;Toyota&lt;/Make&gt;     &lt;Model&gt;Corolla&lt;/Model&gt;   &lt;/Car&gt;   &lt;Car&gt;     &lt;StockNumber&gt;1111&lt;/StockNumber&gt;     &lt;Make&gt;Honda&lt;/Make&gt;     &lt;Model&gt;Accord&lt;/Model&gt;   &lt;/Car&gt; &lt;/Cars&gt;   I have this:  [Serializable()] public class Car {     [System.Xml.Serialization.XmlElementAttribute("StockNumber")]     public string StockNumber{ get; set; }      [System.Xml.Serialization.XmlElementAttribute("Make")]     public string Make{ get; set; }      [System.Xml.Serialization.XmlElementAttribute("Model")]     public string Model{ get; set; } }   .  [System.Xml.Serialization.XmlRootAttribute("Cars", Namespace = "", IsNullable = false)] public class Cars {     [XmlArrayItem(typeof(Car))]     public Car[] Car { get; set; }  }   .  public class CarSerializer {     public Cars Deserialize()     {         Cars[] cars = null;         string path = HttpContext.Current.ApplicationInstance.Server.MapPath("~/App_Data/") + "cars.xml";          XmlSerializer serializer = new XmlSerializer(typeof(Cars[]));          StreamReader reader = new StreamReader(path);         reader.ReadToEnd();         cars = (Cars[])serializer.Deserialize(reader);         reader.Close();          return cars;     } }   that don't seem to work :-( can anybody tell me which one of these is the correct one? I have been searching all over the internet but I have still got no answer.  Types of books Types of book Use Complete Induction of set theory to prove $\frac{1}{\sqrt{1}} + \frac{1}{\sqrt{2}} + \frac{1}{\sqrt{3}} + ... + \frac{1}{\sqrt{n}} > \sqrt{n}$. Remote start up a machine that is in the shut down state? Possible Duplicate:          May I know how can one remote start up a machine that is in a shut down state? S1300I scanner issues under Ubuntu 16.04 using Sane In theory this scanner does work under Linux and Ubuntu.  I've found this document that I tried to follow.    I install sane, copy firmware, confirm the location in the config etc.  Everything looks good.  Potential problem areas  sudo sane-find-scanner   output:  # sane-find-scanner will now attempt to detect your scanner. If the # result is different from what you expected, first make sure your # scanner is powered up and properly connected to your computer.  found SCSI processor "Marvell 91xx Config 1.01" at /dev/sg5 # Your SCSI scanner was detected. It may or may not be supported by SANE. Try # scanimage -L and read the backend's manpage.  could not fetch string descriptor: Pipe error could not fetch string descriptor: Pipe error found USB scanner (vendor=0x04c5 [FUJITSU], product=0x128d [ScanSnap S1300i]) at    libusb:005:007 could not fetch string descriptor: Pipe error # Your USB scanner was (probably) detected. It may or may not be supported by # SANE. Try scanimage -L and read the backend's manpage.  # Not checking for parallel port scanners.  # Most Scanners connected to the parallel port or other proprietary ports # can't be detected by this program.   Okay.  So the scanner is detected and listed, it prints a bunch of extra noise that   # scanimage -L  No scanners were identified. If you were expecting something different, check that the scanner is plugged in, turned on and detected by the sane-find-scanner tool (if appropriate). Please read the documentation which came with this software (README, FAQ, manpages).   Okay, let's verify the firmware files:  ls -lh  /usr/share/sane/epjitsu  total 136K -rw-r----- 1 root root 65K Jan  1 17:49 1300_0C26.nal -rw-r----- 1 root root 65K Jan  1 17:49 300_0C00.nal   Looking at the configuration file: (snippets)  # Fujitsu S300 firmware /usr/share/sane/epjitsu/300_0C00.nal usb 0x04c5 0x1156  # Fujitsu S1300 firmware /usr/share/sane/epjitsu/1300_0C26.nal usb 0x04c5 0x11ed   Last thing I tried was to pull the line from sane-find-scanner and update the config  sane-find-scanner returns a different product ID.   I updated the config file above, restarted the sane service, I ran scanimage -L still, scanner not detected.  For reference I had this working on this same computer under a virtualbox VM.  If I can get it to work under windows that would be ideal.  Any suggestion would be much appreciated.    Update: I revisited the behavior after adding the 1300i firmware and it's still not working but.  Once in a while when I do run this is the output.  If I run it again it'll fail.  scanimage -L device `epjitsu:libusb:005:008' is a FUJITSU ScanSnap S1300i scanner   also sudo gscan2pdf and sudo simple-scan both fail to detect a scanner.  It fails with and without sudo permissions.