Maybe the second footnote is too long, it splits into two parts at the bottom of the page as following picture shows.    What should I do to avoid this? Thanks
I have a rather long footnote which breaks a listing in two parts, unnecessarily.  Since the listing is more important then the footnote I'd rather lake to have the footnote split.   Can I customize (one or all) footnotes to have a maximal length before they are continued on the next page? Or can I manually split a footnote in two to get the effect?
Continuously differentiable map from $\mathbb{R}^{m+n}$ to $\mathbb{R}^n$ Suppose $m,n&gt;0$, $U$ an open subset of $\mathbb{R}^{m+n}$ and let $f: U \to \mathbb{R}^n$ be continuously differentiable.  Is it possible for $f$ to be injective?    My thinking is that continuous differentiability+injectivity suggests that this is sort of getting at a converse to the Inverse Function Theorem.  We know the Jacobian is not invertible at any point in $U$, and the question is asking if this implies that $f$ cannot be invertible in any neighborhood contained in $U$. When I use the MouseUp event, I can get it to fire with a mouse right-click. But MouseLeftButtonUp won't fire with either click!  &lt;Button MouseLeftButtonUp="btnNewConfig_MouseUp"  Name="btnNewConfig"&gt;     &lt;StackPanel Orientation="Horizontal"&gt;         &lt;Image Source="Icons\new.ico" Height="24" Width="24" Margin="5"/&gt;         &lt;TextBlock VerticalAlignment="Center"&gt;New&lt;/TextBlock&gt;     &lt;/StackPanel&gt; &lt;/Button&gt;   I know this is most likely something simple. Thanks for the help! How to connect an LED indicator to a circuit? I would like to know how can i add a safety switch with an LED indicator to a circuit , so that if the safety switch is on then the LED lights , and when i want to use the device , all what i have to do is to press the normally-open switch.   I have attached this schematic and im not sure if it will work correctly  ,as i am a very beginner in electronics   Thanks How do I set up SIP voice calling in Empathy? I would like to use Empathy for Internet voice chat, but I do not see an option under the Empathy Accounts menu to create a SIP account.  How do I set up Internet voice calling in Empathy? What can I do if I'm the victim of serial downvoting? While browsing Stack Overflow, I noticed that I lost a lot of reputation:        Is this serial downvoting? Will it be corrected by a rep-recalculation? How often are those done?    Here's a second instance: What are the scars on the face of Dryden Voss? Dryden Voss, the iconic villain in Solo: A Star Wars Story, has some pretty radical facial scarring.    I'm wondering if there is any evidence how he got these scars?  In particular is it possible he got the scars in battle, or from exposure to a particular substance or drug.  It also seems he is under the service of a Sith Lord (if not an apprentice himself) and if so, could this have come as part of an initiation into, or training with, the dark arts. Lasso regression feature selection I have been reading many articles on LASSO regression, and everyone claims that LASSO address multicollinearity showing contour plots of cost function touching the corner of the diamond(x1+x2). In the first place, I didn't understand how does this phenomenon translate to addressing multicollinearity when there are many groups of correlated variables in the data.  Verbatim from one of the research paper: "• If there are grouped variables (highly correlated between each other) LASSO tends to select one variable from each group ignoring the others". How to find information about the system/machine in Unix? I have always found it difficult to find information about the system itself in Unix, whether it be   Which OS I am using (version number and all, to compare it with the latest available builds)? Which Desktop Environment am I using? If I am using KDE, most of the programs begin with a K and I can say I am using KDE, but there should be some way to query this, say from a script. Which kernel version am I using? (For example, I am using Fedora, and I want to know what Linux kernel version I am using)   Basically, what I miss is a single point/utility that can get all this information for me. Most of the times the solutions to the above would themselves be OS specific. Then, you are stuck. How to pass Unicode characters as JSP/Servlet request.getParameter? This is Spivak's Calculus on Manifolds ex. 2-25, he says     Define $f:\mathbb{R}\to \mathbb{R}$ by $f(x) =  \left\lbrace   \begin{array}{l}      e^{-x^{-2}} &amp;\text{ if } x \neq 0\\      0 &amp;\text{ otherwise } \\   \end{array}   \right.$. Show that $f$ is $C^{\infty}$ anf $f^{(i)}(0)=0\; \forall i$.   I haven't found a way to get a general solution. I only managed to prove:  $(1)$ $f$ is continuous at $0$.  This follows from $f(0)=0$ and $\lim_{x\to0} f(x)=\lim_{x\to 0}e^{-x^{-2}}=\lim_{x\to 0}\displaystyle\frac{1}{e^{1/x^2}}=0$ since $\displaystyle\frac{1}{x^2}\to+\infty$ if $x\to 0$ then $e^{1/x^2}\to+\infty$ if $x\to 0$, which means that $\displaystyle\frac{1}{e^{1/x^2}}\to 0$ if $x\to 0$ .  $(2)$$f'(0)=0$.  I got this by calculating the limit $f'(0)=\lim_{h\to 0}\displaystyle\frac{f(0+h)-f(0)}{h}=\lim_{h\to 0}\displaystyle\frac{f(h)}{h}=\lim_{h\to 0}\displaystyle\frac{e^{-h^{-2}}}{h}=\lim_{h\to 0}\displaystyle\frac{1/h}{e^{h^{-2}}}$.  The last one follows from L'Hôpital: $\lim_{h\to 0}\displaystyle\frac{\frac{d}{dh}(1/h)}{\frac{d}{dh}(e^{h^{-2}})}=\lim_{h\to 0}\displaystyle\frac{(-1/h^2)}{(e^{h^{-2}})(-2h^{-3})}=\lim_{h\to 0}\displaystyle\frac{h}{2e^{h^{-2}}}=\displaystyle\frac{1}{2}\left(\lim_{h\to 0}\displaystyle\frac{1}{e^{h^{-2}}}\right)\left(\lim_{h\to 0} h\right) = 0$.  $(3)$ $f''(0)=0$  I found that $\displaystyle\frac{df}{dx} =  \left\lbrace   \begin{array}{l}      2x^{-3}e^{-x^{-2}} &amp;\text{ if } x \neq 0\\      0 &amp;\text{ otherwise } \\   \end{array}   \right.$, then  I can get $f''(0)$ computing the limit $\lim_{h\to 0}\displaystyle\frac{f'(0+h)-f'(0)}{h} = \lim_{h\to 0}\displaystyle\frac{f'(h)}{h} = \lim_{h\to 0}\displaystyle\frac{2e^{-h^{-2}}}{h^4}= 2\lim_{h\to 0}\displaystyle\frac{1/h^4}{e^{h^{-2}}}=-2\lim_{h\to 0}\displaystyle\frac{-4h^{-5}}{-2h^{-3}e^{h^{-2}}}\\=4\lim_{h\to 0}\displaystyle\frac{1}{h^2e^{h^{-2}}}=4\lim_{h\to 0}\displaystyle\frac{h^{-2}}{e^{h^{-2}}})=-4\lim_{h\to 0}\displaystyle\frac{-2h^{-3}}{e^{h^{-2}}(-2h^{-3})}=-4\lim_{h\to 0}\displaystyle\frac{1}{e^{h^{-2}}}=0$, after using L'Hôpital twice.  But still I don't have a clue to prove that $f^{(i)}(0)=0$ for every $i$. One of the ideas I managed was to find a general form for $f^{(i)}$ but after I got $f'$ doesn't seem possible to do so considering that I would have to apply the product rule each time. I have a php file which I will be using as exclusively as an include. Therefore I would like to throw an error instead of executing it when it's accessed directly by typing in the URL instead of being included.  Basically I need to do a check as follows in the php file:  if ( $REQUEST_URL == $URL_OF_CURRENT_PAGE ) die ("Direct access not premitted");   Is there an easy way to do this? I would like to change the caption in the List of Tables in a way it is different from the caption in the corresponding table. How can I do that? Does there exist a command to do that? Convergence to function that is not measurable Suppose ($X,\cal M, \mu$) is not complete. Show that there is a sequence {$f_n$} of measurable functions on $X$ that converges pointwise a.e. on $X$ to a function $f$ that is not measurable. When I try to sculpt with dyntopo on a sword it creates really weird results while it works just fine on other meshes. Any idea what causes this? Why didn't the basilisk bite in Chamber of Secrets destroy the Horcrux? As the title asks, why didn't the basilisk bite received in the Chamber of Secrets destroy the Horcrux inside the bitten person?   Yes, I know Fawkes quite quickly healed the bite wound with his phoenix tears, but when Harry used the basilisk fang to destroy Tom Riddle's diary the destruction of that Horcrux was immediate. When Ron hit the locket with the Sword of Gryffindor, it was destroyed immediately. Although the destruction of the ring occurred off-page, Dumbledore used the Sword of Gryffindor to destroy it, so presumably, like the locket, it was gone right away. Nagini died straightaway when Neville decapitated her. The destruction of the Hufflepuff cup happens off-page. The diadem seems to have been destroyed by Fiendfyre immediately as well, as when Harry examined it outside the Room of Requirement it was already leaking a blood-like substance, and then it cracked in half. When Voldemort hit Harry with Avada Kedavra in the forest, Harry woke up in limbo with the last fragment of Voldemort's soul - that awful flayed baby-like being - separated from him immediately.   Is there a logical/canon-based explanation for why the fragment of Voldemort's soul residing in Harry wasn't destroyed upon Harry being bitten by the basilisk?  NOTE: I've read the HP Wiki's entry on Horcruxes; however, I find the HP Wiki to be inconsistent in its accuracy, so I'm hesitant to accept the Wiki's explanation on the matter. I'd prefer an explanation constructed from information in the books or a statement by JKR, or the like. A question I'm struggling with is to prove or disprove that the automorphism group of a finite cyclic group must be cyclic. I think the statement is false but have not been able to come up with a counterexample.  Thank you for any assistance you can provide. I put a video in my pdf with Acrobat and there I can watch my video. But if I open the pdf on my mobile, I can't watch the video, I only see an image. Is there a way to watch videos of a pdf in a mobile? I have a samsung J5. How to drive multiple LEDs from a Li-ion battery (with varying voltage)? Solving a Second Order Constant Matrix Differential Equation Given that $A$ is a constant coefficient matrix, how would one find a non-zero solution to the following equation: $$ x''+2Ax'+A^2x=0 $$ I am thinking this could incorporate systems of linear equations, but I am not sure how to use $x'=Ax$ or $x'=P(t)x +g(t)$ in this situation.   Any hints or suggestions are appreciated. How to copy file path to clipboard? Is there a way to copy the currently selected filename, including the path, to the clipboard? Ideally this would be through the right-click menu.  Some degree of flexibility would be useful, like the ability to copy just the filename, path+filename, filename minus extension, etc. This isn't essential, though, as long as it can copy the path+filename.  The solution must be compatible with Windows XP, Windows Vista and Windows 7.