How do I get the logo path?
How can I display site logo, name and slogan?
Deciding whether two metrics are topologically equivalent in the space $C^1([0,1])$ Consider the space $C^1([0,1])$ and the function $d:C([0,1])\times C([0,1]) \to \mathbb R$ defined as $d(f,g)=|f(0)-g(0)|+sup_{x \in [0,1]}|f'(x)-g'(x)|$. Decide whether the metrics $d$ and $d_{\infty}$ are topologically equivalent in $C^1([0,1])$ (where $d_{\infty}=sup_{x \in [0,1]}|f(x)-g(x)|)$  My attempt at a solution:  If two metrics are topologically equivalent, then they have the same convergent sequences. Honestly, I couldn't do anything. I am trying to define a sequence of functions $\{f_n\}_{n \in \mathbb N}$ such that $f_n \to f$ in, for instance, $(C^1([0,1]),d)$ but $f_n \not \to f$ in $(C^1([0,1]),d_{\infty})$. Could it be this two metrics are topologically equivalent? If this is the case, how could I prove it? If not, I would appreciate any hint to find an adequate sequence of functions that works for what I am trying to prove. If column matches another file, print every line with match (awk/grep) Why do ssh operations always ask for passphrase? (with ed25519) I just updated my ssh key and added a passphrase, however it constantly nags me for it now, such as when I do a git (or mercurial hg) push.  ssh-agent is running:  xxx  1303  1118  0 09:16 ?  00:00:00 /usr/bin/ssh-agent    /usr/bin/dbus-launch --exit-with-session     /usr/bin/im-launch mate-session   I tried ssh-add:  &gt; ssh-add Identity added: /home/…/.ssh/id_rsa (/home/…/.ssh/id_rsa) Enter passphrase for /home/…/.ssh/id_ed25519:  Could not add identity "/home/…/.ssh/id_ed25519":      communication with agent failed   What is missing?  16.04 Ubuntu Mate, in case it matters. What will be the trajectory of the given motion If it is given that component of acceleration perpendicular to the velocity of a body has a constant, non-zero magnitude, how can we mathematically prove that the trajectory of the body will be circular?   I have basic knowledge of calculus, vectors and co-ordinate geometry. I can prove that the trajectory of a body in projectile motion is parabolic. I tried to follow a similar method to get an equation of circle but couldn't succeed. I tried forming parametric equations of x and y in terms of time t (the way we proceed when proving the parabolic path of a projectile) but could not reach the conclusion.  Edit: I have edited the question in order to improve it. However I still can not share my work on this question as I had asked the question almost 6 months ago and now I can not find where I tried solving it. Sincerely sorry for that. Evaluation of $\int\frac{1}{x^2.(x^4+1)^{\frac{3}{4}}}dx$ Missing files (basic sty files) when TEXINPUTS is set Below is my files tree:  .../Doc/Tex/book.tex .../Doc/Tex/images/im.jpg .../Doc/TexBase/myTemplate.sty .../Doc/TexBase/baseImages/logo.jpg   On Windows it was enough to set TEXINPUTS evironment variable with some paths and then I was able to compile with:  pdflatex Tex/book.tex   my document book.tex which uses package myTemplate.sty And now im trying to do teh same on Ubuntu 18.04. When i move all things to one folder (book.tex and myTemplate.sty and folder with images) then compilation is succesfull. But i would like to keep my foder structure as it is more clearly. So i tried to export TEXINPUTS:  export TEXTINPUTS=.:./TexBase/   but my compilation fail because of unfound many sty-files wchich are part of texlive-latex-extra that i already installed. When i UNSET this variable - it compiles ok. So my question is: Am i correctly set TEXINPUTS variable? Maybe i should add some other paths? What is the path to those "latex basic STY files"? Send Gmail calendar invite from alternate email Sensor for ultralow (to -85°C) freezer monitor I use a very custom style (not mine) and very frequently I get a heading  on the bottom of a page and the next paragraph on the top of the next page. Sometimes this paragraph may be a list or similar. The same is true for listings and the listing description.   Is there a general way how I can adjust the "badness" of these events? Or can I adjust when a section heading would be on the last, say, 3cm of a page it should go to the next page? Or can I say, if a *listing description" is on the top 3cm of a page pull 5 more listing lines from the last page onto this page?   The style I use does not use standard structure tags and environments. But lets call them section, subsection, listing and I will try to migrate them to my lingo. As stated above, I can't connect to my home wi-fi with natty but can with Windows 7. The strange thing is I that I have gotten it to connect to other password protected networks with natty, it's just mine that it dosn't like.   I am using a WPA2 pass-code with AES Encryption and all other devises work fine on my network. Laptop used is a Dell Latitude D430. I'm flying Etihad Airways to Melbourne and I've a 14 hours layover at Abu Dhabi.  Some say that as long as you are inside the airport terminal you don't require a transit visa while some say you need a transit visa if your layover is more than 10 hours.  Can I stay inside the airport without a transit visa? Characterization of short exact sequences The following is the first part of Proposition 2.9 in "Introduction to Commutative Algebra" by Atiyah &amp; Macdonald.     Let $A$ be a commutative ring with $1$. Let $$M' \overset{u}{\longrightarrow}M\overset{v}{\longrightarrow}M''\longrightarrow  0\tag{1} $$ be sequence of $A$-modules and homomorphisms. Then the sequence (1) is exact if and only if for all $A$-modules $N$, the   sequence  $$0\longrightarrow \operatorname{Hom}(M'', N)  \overset{\overline{v}}{\longrightarrow}\operatorname{Hom}(M,  N)\overset{\overline{u}}{\longrightarrow}\operatorname{Hom}(M', N)  \tag{2} $$ is exact.   Here, $\overline{v}$ is the map defined by $\overline{v}(f)=f\circ v$ for every $f\in\operatorname{Hom}(M'', N)$ and $\overline{u}$ is defined likewise.   The proof one of direction, namely $(2)\Rightarrow (1)$ is given in the book, which I am having some trouble understanding. So assuming (2) is exact sequence, the authors remark that "since $\overline{v}$ is injective for all $N$, it follows that $v$ is surjective". Could someone explain why this follows?  Given that $\overline{v}$ is injective, we know that whenever $f(v(x))=g(v(x))$ for all $x\in M$, we have $f=g$. I am not sure how we conclude from this surjectivity of $v$.  Thanks! iPhone 4 passcode lock disabled and no access to iTunes Updates for a private plugin? If I write a private plugin, is there any way to use the WordPress auto-update mechanism to update it?  I want to encapsulate the functionality, but it's specific to my own 5 or so blogs, so it's not a good candidate for the public plugins resource. But I love the easy-updating mechanism.  Is there a way to do this? What would be the easiest way to view classes, methods, properties, etc. inside a jar file? I'm looking for something equivalent to the very useful  Lutz Roeder .NET Reflector  - for Java What can you say about $f$ and $g$ in the case that $fg$ is 1) Injective, 2) Surjective - Cohn - Classic Algebra Page 15 Change the display scaling on the fly I'm looking for a keyboard shortcut or a CLI instruction to change the display scale on the fly. Seems there's nothing in compiz-config manager to handle this? Does moving variable declaration outside of a loop actually increase performance? Is it correct to say "12:00am"? I've read in various places the first minute of a day described as 12:00am.  Now, whilst I personally prefer to use 24h clock notation and therefore don't have this problem as I can simply describe this minute as 00:00, how is one supposed to express this time using am/pm notation?  Is 00:00am common (strange because there is no 00:00pm), or is the least-bad way to say 12:00am (strange IMHO because it seems to imply that the previous hour was 11:00am when it was actually 11:00pm)? How do I pass variables and data from PHP to JavaScript?