Get the any words contained inside of quotes
need a regex to parse a csv file with double quotes in php
How do humans dominate the Federation in Star Trek? Modify a class definition's annotation string parameter at runtime Let $(a_n)$ be a strictly increasing sequence of positive integers such that: $a_2 = 2$, $a_{mn} = a_m a_n$ for $m, n$ relatively prime. Let $(a_n)$ be a strictly increasing sequence of positive integers such   that: $a_2 = 2$ and $a_{mn} = a_m a_n$ for $m, n$ relatively prime. Show that $a_n = n$, for every positive integer $n$.   This is a result apparently due to Paul Erdős, and  has a proof by induction.  I tried like this, $a_{10}=a_2a_5$. After this what we can do?    [Editor's comment] Possibly due to the apparent simplicity of the conditions it may be difficult to appreciate the subtleties of this question. If we try and construct a counterexample like $a_3=4$, $a_4=5$, $a_5=6$, then the requirements dictate $a_6=8$, $a_{10}=12$, $a_{15}=24$. At this point we realize that we have been speeding. For monotonicity forces $a_9\le 11$, and therefore $a_{18}\le22&lt;a_{15}$, violating the requirements. It is not obvious why something similar ruins all the modifications to the sequence $a_n=n$. [/comment, JL] No file output after rendering? I usually am able to render successfully to the c:\tmp folder, but when I came into work today, I rendered out the image on my work laptop, and everything seems to work, but I'm not getting an output to the tmp directory.  Does anyone know how to make this work? How can I make sure texts from friends with iPhones don't go to iMessage instead of my Android phone? I have always used an Android phone, but text messages from certain friends get hijacked by iMessage. How do I prevent iPhones and MacOS Messages from sending me iMessages? I need all messages to be SMS or MMS. Some friends with iPhones will text me, but I don't receive the message. Today I noticed the Message app on my Mac had notifications. I never open this app since I don't use iMessage, but I looked today, and found multiple &quot;lost&quot; messages from several weeks ago. Please note that this is NOT the same question as . My Android phone is not, and has never been, registered with iMessage, and I have already followed those instructions. Another poster () had the same question as me----but it was closed, being deemed as the same as the Removing phone number question. It's actually fairly different. I have tried:  Leaving my Messages app closed on my Mac. But somehow messages from these people get hijacked. Deregistering my mobile number using Apple's online Deregister iMessage tool. When I attempted this, I got the message &quot;Your phone number is not registered with iMessage.&quot; Finding a setting on my Android phone that addresses this. The problem is apparently (and logically seems to be) on the Apple end.  Things  says he tried:   Closing Messages.app. I still get macOS notifications of messages. In Messages &gt; Preferences… &gt; Accounts &gt; [my email address], untick &quot;Enable this account&quot;. Then my friends messages disappear and I never see them at all, at least until I reenable in Messages.app. Looking in System Preferences and on icloud.com and appleid.apple.com    to see if there is some setting I can disable—but I've not found    anything relevant. Using Apple's Deregister iMessage tool to unregister my mobile    number. When I attempted this it gave me the message &quot;Your phone number is not registered with iMessage.&quot; How do I prevent directories mounted with 'bind' from appearing on 'Devices' on nautilus? I have these lines in the fstab   # binds /media/DataNtfs/Music           /home/can/Music                  none    rw,bind  /media/DataNtfs/Pictures        /home/can/Pictures               none    rw,bind  /media/DataNtfs/Downloads       /home/can/Downloads              none    rw,bind  /media/DataNtfs/Documents       /home/can/Documents              none    rw,bind  /media/DataNtfs/Backups         /home/can/Backups                none    rw,bind  /media/DataNtfs/Notes           /home/can/Notes                  none    rw,bind  /media/DataNtfs/Other           /home/can/Other                  none    rw,bind  /media/DataNtfs/Packages        /home/can/Packages               none    rw,bind  /media/DataNtfs/Photos          /home/can/Photos                 none    rw,bind  /media/DataNtfs/Videos          /home/can/Videos                 none    rw,bind  /media/DataNtfs/WorkSpace       /home/can/WorkSpace              none    rw,bind Get value of R, G, B by color Honey changing into unusable, hardened clump How to prove $b=c$ if $ab=ac$ (cancellation law in groups)? Do save bonuses stack from multiple magic items in AL? I play in Adventurers League and have a character that has a +1 Ring of Protection, which gives +1 to AC and saves. I also have a Stone of Good Luck which gives a +1 to saves and ability checks.  If I equip both items and my base Dex save is +4, would it become +6 due to receiving both bonuses, or +5 with just one? I can't find much in the PHB or Google to answer this. Is it possible to connect two monitors on a laptop, one through HDMI and the other through DisplayPort? For example the Alienware m17x offers 3 connections, HDMI, DisplayPort, and VGA. Is it possible to connect two independent external monitors, one through the DisplayPort and one through the HDMI port? Keyboard backlight not working on an Asus N56V See .  The FN keys are not working  Using answer in  I installed the asus-wmi-dkms_0.2_all.deb.gz package  Now, using xev I see that the keys emit keycodes (for backlight keys xev says for fn-f3 and fn-f4 keycode 237)  But no keyboard backlight, also volume keys have no effect  ================ original question ========================================  I cannot enable the keyboard backlight Seems that the leds class is missing I've not found the classes used in   Description of my framework:  ===========================================================  Machine: Asus N56V laptop  ===========================================================  Software   Kubuntu 12.04 amd64  kernel (3.5.0.5-generic) and drivers from xorg-edgers fresh X crack ppa   ===========================================================  Hardware and problems   after installation do not boot - SOLVED using boot-repair every couple of hours the system freezes - SOLVED using 3.5 kernel keybord FN keys - NOT WORKING Keyboard backlight - NOT WORKING Nvidia GEFORCE GT - NOT USED glxgears says 60 fps Ethernet Atheros card - SOLVED install alx driver external subwoofer - SOLVED adding options snd-hda-intel model=asus-mode4   ==========================================================  Solutions  see the answers to the  and  question.  ========================================================== Add new user and add meta at once Determinant of circulant matrix Find the determinant of the following matrix in the terms of $a_1,a_2,\cdots,a_n$ explicitly, $$ \begin{bmatrix} a_1 &amp; a_2 &amp; a_3 &amp; \cdots &amp; a_n\\ a_2 &amp; a_3 &amp; a_4 &amp; \cdots &amp; a_1\\ a_3 &amp; a_4 &amp; a_5 &amp; \cdots &amp; a_2\\ \vdots &amp; \vdots &amp; \vdots &amp; \ddots &amp; \vdots\\ a_n &amp; a_1 &amp; a_2 &amp; \cdots &amp; a_{n-1}\\ \end{bmatrix} $$ When the determinant is zero? I was trying to prove this inequality using induction, but couldn't do.  Question: Suppose $a$ and $b$ are real numbers with $0 &lt; b &lt; a$. Prove that if $n$ is a positive integer, then:  $$a^n-b^n \leq na^{n-1}(a-b)$$ Prove that $\frac{1}{a^3(b+c)}+\frac{1}{b^3(a+c)}+\frac{1}{c^3(a+b)}\ge \frac32$ $a,b,c$ are positive reals with $abc = 1$. Prove that    $$\frac{1}{a^3(b+c)}+\frac{1}{b^3(a+c)}+\frac{1}{c^3(a+b)}\ge \frac32$$   I try to use AM $\ge$ HM.  $$\frac{\dfrac{1}{a^3(b+c)}+\dfrac{1}{b^3(a+c)}+\dfrac{1}{c^3(a+b)}}3\ge \frac{3}{a^3(b+c)+b^3(a+c)+c^3(a+b)}$$ Then how I proceed. Draw a vertical line over the entries of a column in an array I'd like to draw vertical/horizontal lines over the entries of a column/row in an array. I find the method to draw horizontal lines at . But when I used the same way to draw the vertical lines. It didn't look well. My codes are:  \usepackage{tikz} \usetikzlibrary{calc} \newcommand{\tikzmark}[1]{\tikz[overlay,remember picture] \node (#1) {};} \newcommand{\DrawLine}[3][]{% \begin{tikzpicture}[overlay,remember picture]     \draw [#1] ($(#2)+(0,0.6ex)$) -- ($(#3)+(0,0.6ex)$); \end{tikzpicture}% }%  \begin{displaymath} \left[ \begin{array}{cccc} \tikzmark{11}{15} &amp; 0 &amp; \tikzmark{13}{0} &amp;0\tikzmark{14} \\ 0 &amp; 50 &amp; 20 &amp; 25 \\ 35 &amp; 5 &amp; 0 &amp; 10\\ \tikzmark{41}{0} &amp; 65 &amp; \tikzmark{43}{50} &amp; 65 \end{array} \right]. \DrawLine[black,thick]{11}{14} \DrawLine[black,thick]{11}{41} \DrawLine[black,thick]{13}{43} \end{displaymath}   The result looks like     But the result I want is     Does anyone know how to fix this? Thank you. Does a 2100W angle grinder need an earth pin? I have recently purchased a Makita 2100W angle grinder. It has just the live (L) and neutral (N) connectors unlike the one I previously used, which had a third protected earth (PE) connection.   Would it be better if I changed the connections to a 3 pin connector? Introduction to proofs with a fair amount of hand-holding? Can a single vertex be rotated? In the duplication options for the dupli verts there is a option for Rotation. Witch brings me to my question, is there anyway to rotate a vertex? Vertex's have normals, is there any way to control which way the normal of a single unconnected vertex points?