Java Program doesn't work properly. (Methods Arrays Loops.)
How do I compare strings in Java?
Calculating with Mathematica, one can have $$\int_0^{\pi/2}\frac{\sin^3 t}{\sin^3 t+\cos^3 t}\,\mathrm dt=\frac{\pi}{4}.$$   How can I get this formula by hand? Is there any simpler idea than using $u = \sin t$?     Is there a simple way to calculate $$ \int_0^{\pi/2}\frac{\sin^n t}{\sin^n t+\cos^n t}\,\mathrm dt $$ for $n&gt;3$? Could anyone come up with a reference for this exercise? I edited my mesh changing the number of vertices after adding shapekeys, and it get totally messed up when the shapekeys are on. Is there a way to solve this problem without remake the shapekeys all again!? Let $f$ and $g$ be entire functions and $g(z)\neq 0$ for all $z\in \mathbb{C}$. If $|f(z)|\le |g(z)|$, can we say $f$ is constant?  Liouville theorem says that an entire bounded function is constant, but g is not given bounded here. So I think it should be false. What else can we say about $f$? Calculating the eigenvalues of a matrix How to find the eigenvalues of $$\begin{bmatrix} 0 &amp; 1   &amp;   &amp;  &amp;\\ k &amp; 0   &amp; 2 &amp;  &amp;\\   &amp; k-1 &amp; 0 &amp; 3 &amp;\\   &amp;     &amp;\ddots&amp;\ddots&amp;\ddots\\   &amp;     &amp;      &amp;2 &amp; 0 &amp;k \\   &amp;     &amp;      &amp; &amp; 1 &amp;0 \end{bmatrix}$$ I tried recurrence equation, but it doesn't work to find the characteristic polynomial. Any hint or solution are welcomed, thanks for your help!  PS:The missing parts are all zeroes. How do I improve boot speed? Cut part from video file from start position to end position with FFmpeg I have a video file of 30 minutes, but I want to extract a video from 00:09:23 to 00:25:33.   I can define the startposition with -ss, but I couldn't find one for the end position. Any help please? Why are newer generations of processors faster at the same clock speed? Why, for example, would a 2.66 GHz dual-core Core i5 be faster than a 2.66 GHz Core 2 Duo, which is also dual-core?  Is this because of newer instructions that can process information in fewer clock cycles? What other architectural changes are involved?     This question comes up often and the answers are usually the same. This post is meant to provide a definitive, canonical answer for this question. Feel free to edit the answers to add additional details. If I wanted to say something occurred occurred between 1627 and 1629, I would use &quot;the late 1620s&quot;. However, if I wanted to say something occurred between 1607 and 1609, I couldn't use &quot;the late 1600s&quot; because that would imply it occurred between 1670 and 1699. According to the well ordering theorem "". Whenever we have a well ordering on a set, it is not difficult to construct a new well ordering with a largest element. My question is:     For a given infinite set, can we find a well ordering on it such that there is no largest element? What is the definition of "creature" and is it used consistently? Is there a way to have Cycles skip rendering alpha? If I wanted to create an animation, each frame would have several seconds of rendering a completely transparent part, which adds up obviously. Is there a way to eliminate this waste of time? In an Integral Domain is it true that $\gcd(ac,ab) = a\gcd(c,b)$? Black hole "no hair" theorem The  (or conjecture), suggests that black holes can be entirely described by their mass, angular momentum and charge. All other details of the BH formation are lost.  Is there a simple way of understanding why you would be able to tell the difference between a BH made from protons and one made from electrons, but not between one made from matter rather than anti-matter?  i.e. What is special about charge, and why aren't lepton number, baryon number, strangeness etc, also black hole properties? Let $f$ be a complex function with the property that $f^{(n)} = 0$.  Does this imply that $f$ is a polynomial?  If so, why?  Upon thinking about this problem myself, I can easily observe that every $n$ degree polynomial satisfies $f^{(n+1)} = 0$.  Still, this doesn't show that some non-polynomial function couldn't also have this property. How do I backup and restore SMS Messages? How do I backup and restore SMS Messages? Setting Objects to Null/Nothing after use in .NET Measuring the distance between lines and points in QGIS Using QGIS - I have a vector of fault lines.  I have point data in the form of a csv which I have also loaded into QGIS.  I need to know how far each point is from the nearest fault line then enter this distance in a new column in the csv file. Any ideas? Considering that sound can't travel through vacuum. Rings, ideals and units-proof Let $R$ be a ring and let $J$ be an ideal of $R$. Assume $J$ contains   a unit of $R$. Prove $J=R$, rigorously.   Again I feel here as if the statement is intuitive so I am not able to make it rigorous. If you could show all steps in the proof that would be nice. Horizontal splash distance of water