Autocompletion with qcompleter for fragments in the middle of a word
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This equation is directly given in my book and I am don't know anything about its proof.I tried L'Hospital rule by differentiating the both numerator as well as denominator(division rule), but the result is still coming in indeterminate forms.I am a beginner , and haven't practiced limits that much. This formula is really confusing me. Show how if Alice uses the same value of $k$ to sign two different messages $m_1$ and $m_2$, using the ElGamal signature scheme, Eve can recover the value of $a$ from the corresponding signatures $(m_1, r_1, s_1)$ and $(m_2, r_2, s_2)$. (Note: you are allowed to assume that if $\gcd(a, n) = d$ then there are $d$ solutions to the congruence $ax \equiv b \pmod n$.)     ElGamal Signature Scheme:      Key Gen:      Compute $y = g^x \;\bmod p$.      The public key is $(p, g, y)$. The secret key is $(p, g, x)$      Signature Gen:      Choose a random $k$ such that $0 &lt; k &lt; p − 1$ and $\gcd(k, p − 1) = 1$      Compute $r = g^k \;\bmod p$ and $s = k^{-1}(m – xr) \;\bmod{p-1}$   Thoughts: So far, I can tell that $r_1$ and $r_2$ are equal and $s_1$ and $s_2$ are closely related since the only variation is $m$.  We can relate the two equations for $s$, by solving them for $-xr$:  $$s_1k - m_1 \equiv s_2k - m_2 \pmod p$$  $$(s_1 - s_2)k \equiv m_1 - m_2 \pmod p$$  Let $a = s_1 - s_2$, then we know from the question that for $\gcd(a, n) = d$ there are $d$ solutions for $k$.  Now the forger can compute $g^k$ for each solution to k, until $r$ is found.  Then compute $xr \equiv m_1 - ks_1 \pmod{p-1}$  There are $d&#39; = \gcd(r, p-1)$ solutions for $x$.  The forger can compute $g^x$ for all the $x$s found until she finds $y$.  Once she has $y$ she knows the proper $x$ which can be used to find $m_1$ and $m_2$.  How does this look? All I want to see are the specs Is there a way to see the processor and speed of a Cisco UCS B230 Blade Server without the enclosure that runs it? The enclosure that we have does not power on and all I need is to see what cpu and processor speed is in it. What can I do to give the players the same feel their characters would have about wilderness travel? I find that in a lot of our group's games, traveling long distances through wilderness is too easy.  In real life, it's quite arduous traveling overland.  No one who's just walked a hundred miles is eager to repeat the trip.  But here's the problem -- for the players, it's trivial to travel a long way.  You just say "then we walk over the Groblick Hills to Dorridge", and you get there.  The players find it easy, but there's no way the characters would be eager to set out on a long stretch across the wilderness.  What can I do to give the players the same feel their characters would have about wilderness travel?  One thing I'd like to avoid (if possible) is to just make it perilous by throwing in a bunch of fantasy monster encounters.  Imagine some hobbits off in Gondor -- sure, they'd love to go home to the Shire, but it's mighty tempting to stay an extra day in the inn before setting off on the journey. Prove that T is diagonalizable if and only if the minimal polynomial of T has no repeated roots. How to get all Perfect or Near-Perfect Matchings of a graph Since I have an onboard Intel graphics card, and a ATI Radeon display controller, I was wondering if I could switch between the two as my graphics in use, as I could in 14.04 LTS through ATI Catalyst?  16.04 LTS is using the onboard, and the hardware listing lists ATI as well as display controler, but not in use. Additional drivers don't provide anything.   So is AMDGPU being used, or is ATI disabled?  lspci:  00:02.0 VGA compatible controller: Intel Corporation Broadwell-U Integrated Graphics (rev 09) 04:00.0 Display controller: Advanced Micro Devices, Inc. [AMD/ATI] Venus XTX [Radeon HD 8890M / R9 M275X/M375X] (rev ff)   lspci -nnk | grep VGA -A1  00:02.0 VGA compatible controller [0300]: Intel Corporation Broadwell-U Integrated Graphics [8086:1616] (rev 09)     Subsystem: Lenovo Broadwell-U Integrated Graphics [17aa:3824] Rasterizing a plot make axes ticks invisible Regain of reputation from downvoted and deleted answers - update FAQ Login failed for user - Error 18456 - Severity 14, State 38 When and why did Harry Potter fall in love with Ginny Weasley? In the earlier HP books it's pretty clear that Harry and Ginny get on quite well as friends (and that she's rather smitten with him) but I'm struggling to identify when and why Harry started to like Ginny in a romantic fashion..  I feel like it is simply presumed that Harry suddenly likes Ginny Weasley back, but do the books actually describe when and why he started to like her that way?  No speculation, please. Canon answers only. Series as an integral (sophomore's dream) Difference between pre-increment and post-increment in a loop? Is there a difference in ++i and i++ in a for loop? Is it simply a syntax thing? How can I quickly create a large file on a Linux () system?   will do the job, but reading from /dev/zero and writing to the drive can take a long time when you need a file several hundreds of GBs in size for testing... If you need to do that repeatedly, the time really adds up.  I don't care about the contents of the file, I just want it to be created quickly. How can this be done?  Using a sparse file won't work for this. I need the file to be allocated disk space. I currently only have remote access to this CentOS box, I need to move /var form the primary RAID to a new set of disks that was installed with more space, My current thoughts on how to accomplish this is to temporarily mount the new RAID to /tmp/var. rsync everything from /var to /temp/var then modify the fstab to point /var at the new disks.  Here is my question. how do I delete the existing /var on the primary disks once I have the new disks mounted to that location (assuming this is even possible remotely)? OS keyboard shortcuts conflict with apps keyboard shortcuts in GNOME 3 I have Ubuntu 16.04 with GNOME shell. I set ctrl+shift for the "Modifiers-only switch to next source" option.   This shortcut conflicts with apps hot-keys. I can't use ctrl+shift+i to open devtools in Chrome, it just switches the layout. In VS code IDE if I press shortcuts with ctrl+shift (for example ctrl+shift+f), shortcuts work but always switch a keyboard layout. When I used Windows this problem didn't exist.  Can I set the ctrl+shift shortcut in such a way that it causes a switch action only after the keys are released and only if this 2 keys were pressed (without additional keys)? build argument lists containing whitespace In bash one can escape arguments that contain whitespace.  foo "a string"   This also works for arguments to a command or function:  bar() {     foo "$@" }  bar "a string"   So far so good, but what if I want to manipulate the arguments before calling foo?  This does not work:  bar() {     for arg in "$@"     do         args="$args \"prefix $arg\""     done      # Everything looks good ...     echo $args      # ... but it isn't.     foo $args      # foo "$args" would just be silly }  bar a b c   So how do you build argument lists when the arguments contain whitespace? I'm using Lubuntu for a while now, but found a couple of details that I wanted to view with Unity (that's another story).  Ok, the thing is: I've tried on a VM with Lubuntu to install Unity (sudo apt-get install unity) When the installation is over. I selected in the Lubuntu login Unity/Unity2D but did not work.  Right now I'm installing ubuntu-desktop, I am presuming that will work, but also it will change my login for example.  Is there a way to do a "clean" installation of Unity but not make major changes on my Lubuntu?  I would prefer Gnome-Shell instead of Unity. I am trying to work through Hartshorne's book and while working through one of the exercises, I need to show the following:  Let $k$ be an algebraically closed field. Let $Y \subseteq A^3$ be the set $Y=\{(t,t^2,t^3)\;|\;t \in k\}$. Show that $Y$ is an affine variety.  The rest of the problem I have completed. I'm just not sure how to show that this set is closed and irreducible. I assume that they intend for $A^3$ to have the Zariski topology. This is an exercise in real analysis:     Let $E\subset{\Bbb R}^d$ be Lebesgue measurable. Show that    $$ m(E)=\sup\{m(K):K\subset E, K \text{compact}\}. $$   When $E$ is bounded, this can be done by the following proposition:       $E\subset{\Bbb R}^d$ is Lebesgue measurable if and only if for every $\varepsilon&gt;0$, one can find a closed set $F$ contained in $E$ with $m^*(E\setminus F)\leq\varepsilon$.    How can I deal with the case that $E$ is unbounded?