Compensation from Deutsche Bahn
What kinds of compensation can I get from Deutsche Bahn for canceled and late trains?
Suppose that $f$ is continous on $[0,1]$ , differentiable on $(0,1)$ , and $f(0)=0$ and  $f(1)=1$.For every integer $n$ show  that there must exist $n$ distinct points $\alpha_1,\alpha_2\cdots,\alpha_n$ in that interval so that    $\sum \limits_{k=1}^n \frac{1}{f'(\alpha_k)} = n $   Is it theorem or i can show it with basic differentiation knowledge .Please give me hint . I had applied for a PLAB (Doctors) Visa for the UK to appear in PLAB test. I got refused on the basis of two recent large deposits in the bank statement I provided (my mothers). In reality, these are my own savings which I had deposited in her account to make it more strong. The only objection I got was that I must provide evidence for the source of these deposits. Other than this, I have previously travelled to the UK and USA as well as other parts of the world and my travel history is fine. Can someone please advise on how to proceed and re-apply? Finding determinant of matrix without expanding show that determinant $$\left|\matrix{ x^2+L  &amp;  xy   &amp;   xz \\ xy   &amp;    y^2+L &amp;   yz \\ xz   &amp;    yz   &amp;   z^2+L \\ }\right| =  L^2(x^2+y^2+z^2+L)$$  without expanding by using the appropriate properties of determinant.  All i can do is LHS  $$x^2y^2z^2\left|\matrix{ 1+L/x^2  &amp; 1  &amp;   1 \\ 1   &amp;   1+L/y^2 &amp;   1 \\ 1  &amp;    1   &amp;   1+L/z^2 \\ }\right|$$ A simple pendulum moving at a relativistic speed - how does the period change? I've been pondering the precise mechanism of time dilation for the example of a simple pendulum in two different situations:   The observer and ground are at rest in one frame of reference;  the pendulum is moving at high speed with respect to that frame. The observer is at rest in one frame of reference; the pendulum and the ground together move at high speed with respect to that frame.   user8260 has pointed out that in situation 1, in the pendulum's frame $g$ is greater by $\gamma^2$ compared to $g$ in the observer's frame. Thus in the pendulum's frame the period is less than it is in the observer's frame by a factor of $1/\gamma$, just as one would expect from time dilation.  But what about situation 2? Here, compared to the pendulum frame, the observer sees the pendulum with the same length in a stronger gravitational field, yet observes a longer period. Does the inertial mass of the pendulum change differently than its gravitational mass? Also, does the analysis depend on whether the plane of swing is perpendicular or parallel the direction of motion? Removing a DE field when DE is used in a data relationship I have a Data Extension field I'd like to delete, but that DE is used in an attribute group/set in Contact Builder. So is it really necessary to delete the data relationship first before I can remove the field? Seems too risky if that's the case. Change templates in Xcode How would I change the initial templates created by Xcode when creating a new Cocoa Class.  I am referring to the comments and class name created when using Xcode's new class wizard. How to show the inequality for $\int_{0}^{\pi/4}\tan^n(x) dx$ I can't seem to figure out the inequality option, I substituted n=2 for the answer bit is there any elegant way of getting it? I have an entry-level Nikon DSLR, and I cant decide if I should upgrade my camera body or upgrade from a  AF-S DX Nikkor 18-200mm to whatever else might be recommended? A Regular Tetrahedron is a cool Polyhedron. A regular tetrahedron has this property:  For any two of its vertices exists a third vertex, which forms a regular triangle with these 2 vertices.(It doesn't necessarily have to be a face of it).  Are there any other polyhedrons that have the same property?  I think there isn't such a polyhedron. But not sure how to prove it. I've tried proving that there isn't an irregular tetrahedron with this property, assuming that there is a pair of unequal sides.   Current answers are a little confused with the conditions of the problem. I know that this question is a bit old or maybe overdone, but I'm running the latest edition of Blender and when I use the Cycles engine I get really fuzzy results and I can't find a simple, non-compromising solution to the quality.  I don't know exactly what I'm doing wrong here, but I'm sure others share my frustration.  Leaving everything in default settings, I started a new project and switched to the Cycles render.  I duplicated the cube and set colors for two Diffuse BSDF shaders, then went ahead and made walls and a floor all sharing the same diffuse shader.  I made two windows to emit blue light.  The screenshot has gaps between the walls because of the setup:  I'm aware that it's considered very incomplete and many have come to terms with some amount of noise, but is this normal?  Furthermore, with default settings or not, I can't change the amount of noise produced.  Supposedly, using "progressively refine" in the rendering tab should make it refine itself indefinitely, however Cycles only counts to 10 refines and then stops, creating a render which is a pixel-perfect match of the ordinary rendering method when it's completed.  I understand that there are tricks that can be used to reduce noise, but at the cost of extra processing time and usually small quality conflicts, like blurring.  My question essentially boils down to is this Cycles' current limit? Biblatex: URL-breaking not working in DVI-mode I'm preparing my bibliography and noticed that biblatex-printbibliography produces Overfull \hbox several times.  Examples (gray lines indicates text margins, red line is the physical page margin):        Why is hyperref line-breaking not working as expected using pdflatex or even latex -&gt; dvipdfm BUT not using latex -&gt; dvips -&gt; ps2pdf?  Also it would be great if someone could point out how I can raise the indentation of the second (and following) lines, as this might look better.  edit: Customized question, as the answer given by lockstep solved the third problem. The second problem seems to be identical to the first.  \documentclass[12pt]{scrbook} \usepackage[english]{babel} \usepackage[utf8]{inputenc} \usepackage[T1]{fontenc} \usepackage[ps2pdf]{hyperref} %\usepackage[ps2pdf,breaklinks=true]{hyperref} %This doesn't change anything. %\usepackage{breakurl} %That makes no difference either.  \usepackage[a4paper,twoside,showframe]{geometry} %show text margins  \usepackage[style=alphabetic,backend=biber,maxnames=4,minnames=3,maxbibnames=99]{biblatex} \bibliography{biblatex-issue}  \begin{document} \nocite{*}  \printbibliography[heading=subbibliography,type=article,prefixnumbers={A-}] \printbibliography[heading=subbibliography,type=book,prefixnumbers={B-}] \printbibliography[heading=subbibliography,type=online]  \end{document}   And the bib-file:  @online{GLS:datasheet,     title         = "GLS Datasheet",     organization  = "Optoelectronics Research Centre",     howpublished ="Website",     date = "2004-09",     urldate="2013-07-01",     url ="http://www.southampton.XXXX",     address       = "Southampton, United Kingdom" } @book {Lifante:Fundamentals,     title = "Integrated Photonics: Fundamentals",     author = "Lifante, Ginés",     publisher = "J.Wiley",     address = "Chichester",     year = "2003",     type = "text",     isbn = "9780470848685" } @article{Labadie:First_fringes,     author = {Labadie, L. and Mart\'{\i}n, G. and Anheier, N. C. and Arezki, B. and Qiao, H. A. and Bernacki, B. and Kern, P.},     title = {First fringes with an integrated-optics beam combiner at 10},     DOI= "10.1051/0004-6361/201116727",     journal = {A\&amp;A},     year = 2011,     volume = 531,     pages = "A48" }     P.S.: I noticed that the visiting-date of the GLS-datasheet is wrong ;-) Change Data Type Varchar To Varbinary(max) In SQL Server Is there any way to increase the drop rate of items? Using shell's read command with live editing functionality (readline like) Is there a standard (POSIX) way of asking the user some data from within a shell script, with  for example, while allowing live edition of the text being typed (what readline does)?   I know bash has read -e varname that allows for the person launching the script to use keyboard arrows for exemple, to edit or correct what has just been typed without deleting the last entered characters with backspace.   However, read -e is . And still, it is pretty cumbersome to delete all that has been wrote if you realise you made a mistake at the beginning of your long sentence... Why is Sauron called "the Necromancer"? During the time period of The Hobbit, a character is mentioned called the Necromancer.  Radagast even (in the movie) specifically states that the Necromancer can "summon the spirits of the dead."  (It's been a while since I read the book so I don't know if this exact phrasing is used there, but given the name it seems reasonable.) This character is later revealed to be Sauron.  Since when can Sauron summon the spirits of the dead?  He can extend life ad infinitum, like Gollum's, for example, and he can twist people into half-alive monsters, like the Ringwraiths, and he himself seems impossible to kill so long as the One Ring remains, but I can't recall ever actually seeing him "summon" something that was once fully dead.  In fact, the only character I remember doing that was actually Aragorn, though he merely commanded them and didn't raise them himself.  Is this just an unfounded rumor about the power in Dol Guldur, some hushed-whisper nightmare that isn't actually an accurate description, or is there a reason he is called the Necromancer?  It seems like if Sauron could actually resurrect the dead, what little chance Middle Earth had of defeating his hordes would be long, long gone... How do I go about porting Ubuntu Touch to different devices? Will I still receive OTA updates after rooting my Nexus 5? I just wanna ask that after rooting Nexus 5 will I be receiving OTA updates by Google ? Or I'll have to install a custom ROM ? Showing $(a^{2}+2)(b^{2}+2)(c^{2}+2)\geq 9(ab+bc+ca)$ Remove a part of a list of names I have some files and each files have distinct name but all of them have the same "-statement" at the end like this:  flower-statement.mp3 leave-statement.mp3  ball-statement.mp3 goal-statement.mp3   So I want to remove this: -statement  Is that possible? Is it possible to check a bash script syntax without executing it?  Using Perl, I can run perl -c 'script name'. Is there any equivalent command for bash scripts?