Help to interpret the ACF and PACF plots
How to interpret these acf and pacf plots
Given two sets$$A=\{1,3,5\}\quad,\quad B=\{1,3,8\}.$$ Then I compute the $A\setminus B=\{5\}.$   But my book$^\dagger$said: ... . Also, observe that $x\notin A\setminus B$ does not mean that $x\notin A\lor x\in B$. Why?  I don't know how to explain the Why, please give me some example.    $^\dagger$, second edition, page $4$.  EDIT: My intuition tells me that it does mean that. I guess there is some special case about null-set or about the restriction of the universal set. Cannot determine size of graphic I'm trying to include graphics in my Latex-file, which I compiled with latex+dvipdf on OS X. Latex however returns this error: "Cannot determine size of graphic"  My graphic is exported from PowerPoint, so I have tried both .pdf and .png. I get the same errors for both.  Sample code that doesn't work:  \begin{figure}[htb] \begin{center} \leavevmode \includegraphics[width=0.8\textwidth]{graph.png} \end{center} \end{figure}   If I have to manually set some measurements of the image, please tell me how I can find out those measurements. I need the image to take up about 80% of text width and be centered. Thanks. Where can I get Blender test builds? I know that  provides downloads for official releases. I see on forums that people use newer versions of Blender. Where can I get newer version of Blender (nightly builds, alpha versions... etc). Why is English written and read from left-to-right as opposed to right-to-left, top-to-bottom, or (not even sure any language does this) bottom-to-top? Review audit ignores closereason filter Nothing shows up in the terminal when I type my password I can't crack this one.      Prove: If $\gcd(a,b,c)=1$ then there exists $z$ such that $\gcd(az+b,c) = 1$ (the only constraint is that  $a,b,c,z \in \mathbb{Z}$ and $c\neq 0)$ What is the intuition behind the unit normal vector being the derivative of the unit tangent vector? I've seen the math, but... It just doesn't make sense to me. How is the slope going to point perpendicular to the vector that is clearly a straight line not going in that direction? Bought in, bought on, bought from, bought at? Why are map tiles being repeated? Using MapServer and Openlayers Problem I have: map tiles from my layer are being repeated.  Shapefile is projection 3059. I have specified 3059 is in the mapfile and also when creating map object.  I know OpenLayers.Layer.WMS is recommended, but when I use it I only see empty map. When I use OpenLayers.Layer.MapServer, map is displayed (and tiles are repeated), so I'm using that for now.  My layer (EPSG:3059) looks like this    Versions: Openlayers 2.13.1 MapServer 6.0.3  WMS Server mapfile:  MAP     NAME country_map     STATUS ON     SIZE 800 500     EXTENT 313187.4 146161.56 766469.92 470367.64     UNITS METERS     SHAPEPATH "shapefiles"     IMAGECOLOR 155 155 155      WEB         TEMPLATE "template.html"         IMAGEPATH "C:/MS4W/ms4w/apache/htdocs/gis/output/"         IMAGEURL "/gis/output/"          METADATA             "wms_title"             "MapServer + Openlayers"             "wms_onlineresource"    "http://localhost:1025/cgi-bin/mapserv.exe?map=C:\MS4W\ms4w\Apache\htdocs\gis\mapfile2.map"             "wms_enable_request"    "*"             "wms_srs"               "EPSG:3059"         END     END      PROJECTION         "init=epsg:3059"     END  # example layer     LAYER     METADATA         "wms_title"             "lat_rob_region"     END     NAME "lat_rob_region"     DATA lat_rob_region     STATUS ON     TYPE POLYGON         CLASS             NAME "lat_rob_region"             STYLE                 COLOR 0 255 0             END         END     END END   Javascript:  var lon = 25; var lat = 57; var zoom = 5; var map, layer1;  function init() {     map = new OpenLayers.Map( 'map',{displayProjection: new OpenLayers.Projection("EPSG:3059")} );      layer1 = new OpenLayers.Layer.MapServer( "Country map",              "http://localhost:1025/cgi-bin/mapserv.exe?map=C:/MS4W/ms4w/Apache/htdocs/gis/mapfile2.map", {layers: 'lat_rob_region'},             {gutter: 15},{srs: 'EPSG:3059'});     map.addLayer(layer1);      map.setCenter(new OpenLayers.LonLat(lon, lat), zoom);     map.addControl( new OpenLayers.Control.LayerSwitcher() ); } Show that $\lim _{r \to 0} \|T_rf−f\|_{L_p} =0.$ Can't install aircrack-ng Whenever I attempt to install aircrack-ng in terminal I get the following error:  Package aircrack-ng is not available, but is referred to by another package. This may mean that the package is missing, has been obsoleted, or is only available from another source However the following packages replace it:   iw  E: Package 'aircrack-ng' has no installation candidate"   I'm new to Ubuntu and so have no idea what to do. Is there a website that lets you shop for hotels with taxes and fees included in search results? Every time I book a hotel online, the price increases by 25% in "taxes and fees" at checkout, compared to the price featured in search results.  This does not occur when booking flights (I actually think there's a regulation against it for flights).  Is there a website that lets you compare the ACTUAL price of hotels with taxes and fees included, and also lets you book? I have just installed Ubuntu on my pc. Everything is working fine but the Wifi is not working properly When i am trying to connect to a network it is not working and showing error "Activation of Network Connection failed ". Sometime i am able to connect to the network but the network strength is very week. My PC uses realtek driver for wifi.  Here's the output of lspci; lsusb      00:00.0 Host bridge: Intel Corporation Atom/Celeron/Pentium Processor x5-E8000/J3xxx/N3xxx Series SoC Transaction Register (rev 21) 00:02.0 VGA compatible controller: Intel Corporation Atom/Celeron/Pentium Processor x5-E8000/J3xxx/N3xxx Integrated Graphics Controller (rev 21) 00:13.0 SATA controller: Intel Corporation Atom/Celeron/Pentium Processor x5-E8000/J3xxx/N3xxx Series SATA Controller (rev 21) 00:14.0 USB controller: Intel Corporation Atom/Celeron/Pentium Processor x5-E8000/J3xxx/N3xxx Series USB xHCI Controller (rev 21) 00:1a.0 Encryption controller: Intel Corporation Atom/Celeron/Pentium Processor x5-E8000/J3xxx/N3xxx Series Trusted Execution Engine (rev 21) 00:1b.0 Audio device: Intel Corporation Atom/Celeron/Pentium Processor x5-E8000/J3xxx/N3xxx Series High Definition Audio Controller (rev 21) 00:1c.0 PCI bridge: Intel Corporation Atom/Celeron/Pentium Processor x5-E8000/J3xxx/N3xxx Series PCI Express Port #1 (rev 21) 00:1c.1 PCI bridge: Intel Corporation Atom/Celeron/Pentium Processor x5-E8000/J3xxx/N3xxx Series PCI Express Port #2 (rev 21) 00:1f.0 ISA bridge: Intel Corporation Atom/Celeron/Pentium Processor x5-E8000/J3xxx/N3xxx Series PCU (rev 21) 00:1f.3 SMBus: Intel Corporation Atom/Celeron/Pentium Processor x5-E8000/J3xxx/N3xxx SMBus Controller (rev 21) Bus 002 Device 001: ID 1d6b:0003 Linux Foundation 3.0 root hub Bus 001 Device 006: ID 5986:065e Acer, Inc  Bus 001 Device 005: ID 0bda:b720 Realtek Semiconductor Corp.  Bus 001 Device 004: ID 046d:c077 Logitech, Inc. M105 Optical Mouse Bus 001 Device 003: ID 1c4f:0002 SiGma Micro Keyboard TRACER Gamma Ivory Bus 001 Device 008: ID 2717:ff80   Bus 001 Device 001: ID 1d6b:0002 Linux Foundation 2.0 root hub   output of usb-devices | awk '/b720/' RS=  T:  Bus=01 Lev=01 Prnt=01 Port=03 Cnt=04 Dev#=  5 Spd=480 MxCh= 0 D:  Ver= 2.10 Cls=ef(misc ) Sub=02 Prot=01 MxPS=64 #Cfgs=  1 P:  Vendor=0bda ProdID=b720 Rev=02.00 S:  Manufacturer=Realtek S:  Product=802.11n WLAN Adapter S:  SerialNumber=00e04c000001 C:  #Ifs= 3 Cfg#= 1 Atr=e0 MxPwr=500mA I:  If#= 0 Alt= 0 #EPs= 3 Cls=e0(wlcon) Sub=01 Prot=01 Driver=btusb I:  If#= 1 Alt= 0 #EPs= 2 Cls=e0(wlcon) Sub=01 Prot=01 Driver=btusb I:  If#= 2 Alt= 0 #EPs= 6 Cls=ff(vend.) Sub=ff Prot=ff Driver=rtl8xxxu   How to fix this issue?? Terminal limits scrolling I have a running log, it outputs a lot to the terminal. Unfortunately, when I try to scroll up and view older output, it appears there is a limit. And I am unable to scroll past a certain point. On the Mac, the terminal allows you to scroll up to the start of the session. Is there a way to do this in ubuntu terminal? @Id @GeneratedValue but set own ID value Can you be refused a visitor visa to US if you have bad Credit there? Is there a reason the British omit the article when they "go to hospital"? How do we get Community Promotion Ads on beta sites? All the launched sites get Community Promotion Ads meta posts posted every year by a SE mod.  Previously, I thought that beta sites simply weren't allowed them. However,  is still in beta, and they had community promotions meta posts in  and  (I guess they haven't made one for 2015 yet).  So what happens? Do you just have to ask for one? Can the moderators of that site just create one as they like? Can anyone on that site just create one as they like? Normality of subgroups and Sylow groups under homomorphisms... Prove or disprove: if $f:G \rightarrow H$ is a surjective group homomorphism, then   1) $f(A)$ normal implies $A$ normal.  2) $S$ is a p-Sylow subgroup of $G$ implies $f(S)$ is a Sylow-p subgroup of $H$.   I believe 1 is false since I believe we need injectivity, but I cannot think of a counterexample...  I believe 2 is true but do not know how to show it...