I have a word document that includes chart objects linked to data held in unknown spreadsheets that cannot be accessed.  The charts are 'frozen', in the sense that they are displaying the data correctly, despite the data links being effectively severed (although the links themselves DO still exist in File>Info>Related documents>Edit links to files, but the source locations are meaningless on my machine). Accordingly, use the Edit Data command simply confirms that "the linked file is not available".  The numerical data forming each chart series must exist in some form within the Word doc, since if the mouse cursor is hovered over any particular point, the pop-up appears with the x and y data. However, if the graph object is copied into, say, Excel, the chart appears blank as the series then refer to blank cells within the spreadsheet.  QUESTION: How can I automatically extract the numerical data from these charts (i.e. without having to manually read each individual point and write down the values)?
I have a Word file which has some Excel plots in it. Unfortunately I lost the original excel plots and the word file is now 'de-linked'.   Is there a way to retrieve the lost data for the plots? Just copying the plot back to Excel does not seem to work, but I can see that the data is still there somewhere, because hovering over a dot on the plot shows the values.
Find four groups of order 20 not isomorphic to each other and prove why they aren't isomorphic.   So far I thought of $\mathbb Z_{20}$, $\mathbb Z_2 \oplus\mathbb Z_{10}$, and $D_{10}$ (dihedral group), but I can't find another one. Would $U(50)$ work? I know it has order 20 and is cyclic but I'm not exactly sure how to move from there. Can someone to point me on the right direction? I am creating a controller for a 12 V system using an Arduino Uno microcrontroller. For the outputs I am using a relay shield to switch the 12 V components. I have a 12 V toggle switch that turns on some 12 V components in the system and I want to use a trigger signal off of this same switch to send to an Arduino digital input. I know that the Arduino can only handle 5 V max. What would be the best way to step down the 12 V coming off of the switch to the 5 V for the input?  EDIT: The system is for use in a car. Would the amperage of the car battery need to be lowered somehow as to not blow up the components? FFMPEG video from images comes out same (yet incorrect) duration regardless of frame rate Is $R^2$ useful or dangerous? Setting time limit php Quantifiers "most" vs. "most of" What does Superman do with his regular clothes after changing in the phone booth? We all know that Superman changes in the phone booth. But where does he put his regular clothes while he's on a mission? He doesn't throw it out, because he changes back. But we don't see him carrying a bag of dirty laundry while he's on a mission.  ("In his right hand, Superman has Lois Lane, and in his left hand he seems to be holding... boxers??)  And I can't imagine he leaves it in the phone booth.  So where does Superman leave his regular clothes after he changes? Raspberry Pi Jessie Wi-Fi doesn't work with multiple IPs on same network I would like to use two different static IP addresses for the same network with the same Wi-Fi dongle. I read in different forums that it's better to use /etc/network/interfaces instead of dhcpcd.conf for that purpose. So I changed the /etc/network/interfaces that way:  auto lo iface lo inet loopback  iface eth0 inet dhcp auto wlan0 allow-hotplug wlan0 iface wlan0 inet static     address 192.168.0.60     netmask 255.255.255.0     gateway 192.168.0.10     wpa-conf /etc/wpa_supplicant/wpa_supplicant.conf auto wlan0:0 allow-hotplug wlan0:0 iface wlan0:0 inet static     address 192.168.0.61     netmask 255.255.255.0     wpa-conf /etc/wpa_supplicant/wpa_supplicant.conf   The issue now is that for the most of the time I can't ping any member of the network. During the first 10 seconds, everything works fine and then I mostly don't get any connection.  ifconfig shows the following:  lo        Link encap:Lokale Schleife             inet Adresse:127.0.0.1  Maske:255.0.0.0           inet6-Adresse: ::1/128 Gültigkeitsbereich:Maschine           UP LOOPBACK RUNNING  MTU:65536  Metrik:1           RX packets:1237 errors:0 dropped:0 overruns:0 frame:0           TX packets:1237 errors:0 dropped:0 overruns:0 carrier:0           Kollisionen:0 Sendewarteschlangenlänge:1            RX bytes:100748 (98.3 KiB)  TX bytes:100748 (98.3 KiB)  wlan0     Link encap:Ethernet  Hardware Adresse b8:27:eb:a2:4b:72             inet Adresse:192.168.0.60  Bcast:192.168.0.255  Maske:255.255.255.0           inet6-Adresse: fe80::ba27:ebff:fea2:4b72/64 Gültigkeitsbereich:Verbindung           UP BROADCAST MULTICAST  MTU:1500  Metrik:1           RX packets:15498 errors:0 dropped:10634 overruns:0 frame:0           TX packets:5446 errors:0 dropped:0 overruns:0 carrier:0           Kollisionen:0 Sendewarteschlangenlänge:1000            RX bytes:5910381 (5.6 MiB)  TX bytes:722284 (705.3 KiB)  wlan0:0   Link encap:Ethernet  Hardware Adresse b8:27:eb:a2:4b:72             inet Adresse:192.168.0.61  Bcast:192.168.0.255  Maske:255.255.255.0           UP BROADCAST MULTICAST  MTU:1500  Metrik:1   and route -ne has the following output:    Ziel            Router          Genmask         Flags   MSS Fenster irtt Iface 0.0.0.0         192.168.0.10    0.0.0.0         UG        0 0          0 wlan0 192.168.0.0     0.0.0.0         255.255.255.0   U         0 0          0 wlan0   I also stoped dhcpcd, the IPs aren't in the dhcp IP pool of the router and with one static IP everything works fine  Does anyone have any clue what I did wrong? Partial vs. Full Volume Wort Boil The starting position for most new extract brewers is to use a partial boil set up.  Defined as using a pot smaller than the intended batch size, all the ingredients are boiled in a smaller volume.  Then the wort is diluted to the final desired batch size.  (Often the dilution step is used as part of a cooling step)  What are the Ups and Downs of both Partial vs. Full boils? How to delete a file with a path too long to be deleted I was working with some computer vision source code I found and didn't realize that it creates a cache file that has a VERY LONG name and now I can't delete the 2 of them. I tried to rename it to a shorter name but I can't do anything to the file, I also tried to restart my computer and see if it would just go away. The error message says:  Destination Path Too Long. The file name(s) would be too long for the destination folder. You can shorten file name and try again, or try a location that has a shorter path.   How can I delete the files in this case? says that the number of different monomials of degree $M$ in $N$ variables is $$\frac{(M+N-1)!}{M!(N-1)!}\; .$$ Can anyone explain why this is true? My friend and I are planning a vacation to Ireland later this year. We'll be there for a week, flying into Dublin and then renting a car and driving around the country.  Both of us are 23. Are there any age restrictions on renting cars in Ireland? What would be the cheapest/best option for us? Energy conservation in General Relativity I understand that energy conservation is not a rule in general relativity, but I'd like to know under what circumstances it can still be possible. In other words, when is it possible to associate a potential energy to the gravitational field, so that the energy is constant in the evolution of the system?  Here are some examples, is there a convenient way to define energy in these scenarios?   Just a system of gravitational waves. A point mass moving in a static (but otherwise arbitrary) space-time. Equivalent (if I'm not mistaken) to a test mass moving in the field of a second much larger mass, the larger mass wouldn't move. Two rotating bodies of similar mass.   Overall, I'm trying to understand what keeps us from associating a potential energy to the metric. When we break the time translation symmetry of a system by introducing an electromagnetic field, we can still conserve energy by defining an electromagnetic potential energy. Why can't we do the same when we break TT symmetry by making space-time curved? I found  post about how to do Crow's Foot ERM Diagrams with Tikz, but it looks strange because the entity is outside the frame. However, it worked.  Then I found  even nicer version and tried to combine it, but sadly I'm not able to find out why it doesn't work. I'm not able to print two entities side by side and connect them with a crow's foot wire. They always print over each other...  How can I have both the lines and the style?  \documentclass{article}  \usepackage{tikz} \usetikzlibrary{shapes.multipart} \usetikzlibrary{matrix} \usetikzlibrary{positioning} \usetikzlibrary{shadows} \usetikzlibrary{calc}  \tikzset{     entity/.code={         \tikzset{             rounded corners,                          name=#1,             inner sep=2pt,             every entity/.try,         }%         \def\entityname{#1}%     },     entity anchor/.style={matrix anchor=#1},     every entity/.style={             draw,     },     every property/.style={         inner xsep=0.20cm, inner ysep=0.075cm, anchor=west, text width=1.75in     } } \def\property#1{\node[name=\entityname-#1, every property/.try]{\propertysplit#1;};} \def\properties{\begingroup\catcode`\_=11\relax\processproperties} \def\processproperties#1{\endgroup%     \gdef\propertycode{}%     \foreach \p in {#1}{%     \expandafter\expandafter\expandafter\gdef\expandafter\expandafter\expandafter\propertycode%             \expandafter\expandafter\expandafter{\expandafter\propertycode\expandafter\property\expandafter{\p}\\}%     }%     \propertycode% } \def\propertysplit#1:#2;{#1:\hfill#2}  \def\entitynamenode{% \node[every entity name/.try] (\entityname-name) {\entityname}; \draw (\entityname-name.south west) -- (\entityname-name.south east); \\[1ex] } \tikzset{   every entity name/.style={every property/.try, align=center} } \begin{document} \begin{tikzpicture}[every node/.style={font=\ttfamily}, node distance=0.5in] \matrix (m1) [entity=Employee] {     \entitynamenode     \properties{         Username:,         Password :  varchar(255),                 Name :  varchar(255),         LastName :  varchar(255)     } }; \matrix (m2) [entity=Student] {     \entitynamenode     \properties{         Username:,         Password :  varchar(255),                 Name :  varchar(255),         LastName :  varchar(255)     } }; \draw [-&gt;] (m1) -- (m2); % &lt;-- it break's here... %\draw [one to omany] (Employee-Username:) to node[above]{label} (Student-Username:); \end{tikzpicture} \end{document}      Edit: this is a Crow's Foot Notation for visualizing IT Database structures: I think my device got a malware. A lock screen with ads sometimes appear, and I must swipe an area at the bottom of the screen to open the phone. I am in Eastern Europe, some ads are in Slavic languages, and they are seemingly related to travel.    Image resized. Click to view the full image  I have seen ads for Lot Air (Polish carrier). I recently went to their site.  Considering my recent surfing activity and the nature of the ads, I guess the malware is connected to airlines active in Eastern Europe.  The lock screen also promotes the app "DU Quick Charger" by claiming it has recharged the phone extra fast during screen off. (!?) It also shows battery level. I have never installed DU Quick Charger. I doubt DU Quick Charger is installed on the phone.  The problem started after installing Ryanair app. The problem is maybe, but not surely, related to this. Uninstalling Ryanair and restarting the phone doesn't remove the occasional appearance of this lock screen. After a while the situation has changed for the worse, now this lock screen appears after EVERY screen off.  I have always used Avast. I am not rooted and only install via Google Play.  What is this? And how do I remove it? Username and Password not recognized when logging into Minecraft If H is a subgroup of a group G and K is a normal subgroup of G the show that K is a normal subgroup of HK. Note K is a normal subgroup of HK  I thought I could just prove K is a subset of HK and vice versa so as to prove it a normal subgroup but then how to do this I have no idea because I keep getting hk element again while trying to do so.  I just tried to implement the steps to find HK is a subgroup of G. Describe the set of points on the complex plane... Force update from unsigned repository I'm using an unsigned repo in Ubuntu 16.04 from Debian multimedia:  deb http://www.deb-multimedia.org jessie main   To install deb-multimedia-keyring, I'm running:  apt-get update &amp;&amp; apt-get install deb-multimedia-keyring -y   This gives an error:  W: GPG error: http://www.deb-multimedia.org jessie InRelease: The following signatures couldn't be verified because the public key is not available: NO_PUBKEY 5C808C2B65558117 E: The repository 'http://www.deb-multimedia.org jessie InRelease' is not signed. N: Updating from such a repository can't be done securely, and is therefore disabled by default. N: See apt-secure(8) manpage for repository creation and user configuration details. Integrating a function of tan inverse How would I carry out the following integration? $$\int_0^12\arctan x^2$$  I tried to substitute $x^2 = \tan\theta$ From there I wrote the integral as: $$\int_0^{\pi/4}\theta\cdot \frac{\sec^2\theta}{\sqrt{\tan\theta}}\ d\theta$$  Now, is my only option to use integration by parts? Or is there a better method to solve this integral?