Why is being part of the peer-reviewing process beneficial for a graduate student?
I have recently published my first research paper and have already received a request to review a manuscript. The journal's impact factor is low, but it is open access, and the paper's topic is relevant to my field of study. What factors should I keep in mind when deciding whether to accept or decline the request to review? What level of expertise is typically expected from a good-quality review?
Could someone explain to me what the collision of two photons would look like? Will they behave like,   Electromagnetic waves: they will interfere with each other and keep their wave nature Particles: they will bounce like classical balls   I assume that energy of that system is too small to make creation of pairs possible. How do I prove that a graph is a topological manifold Prove existence of disjoint open sets containing disjoint closed sets in a topology induced by a metric. Question: Let $(X, d)$ be a metric space. Let $A$ and $B$ be disjoint subsets of $X$ that are closed in the topology induced by $d$. Prove that there exist disjoint open sets $U$ and $V$ such that $A\subset U$ and $B\subset V$.   Is this proof correct? : By assumption, $A\cap B=\emptyset$, so there is no pair like $(x_A,x_B)$ (i.e., $x_A\in A$ and $x_B\in B$), such that $x_A=x_B$. Because every metric space is Hausdorff, so for every pair $(x_A,x_B)$ there are two disjoint open sets $U_A\ni x_A$ and $V_B\ni x_B$; and thus union of all $U_A$s (which is an open set containing A) are disjoint from union of all $V_B$s (which is an open set containing A).   Thanks a lot for any help.    PS In special case of standard metric topology on $\mathbb{R}$, if $[a,b]$ and $[c,d]$ are disjoint (say $c&gt;b$), intuitively it is apparent that there is a 'space' between $c$ and $b$ so we can have two disjoint open sets, each of them containing $[a,b]$ or $[c,d]$. Every word is marked as misspelled in TeXstudio Why is that most of the words, almost 90 percent, are marked as misspelled words when there is no error? And the spellchecking suggestions don't even look like English.  I am using TeXstudio as my editor. Sorry for the title, its hard to put the problem into proper words.  Basically, in Firefox or Chrome, I try to navigate to stackoverflow.com.  The request fails and the URL I see in the navigation bar is:  http://d2e24t2jgcnor2.webhostoid.com/Secure/Error?URL=http%3A%2F%2Fstackoverflow.com%2F&amp;ResponseCode=504&amp;user_id=5b5033d3-3543-4b7c-9844-055afde93841&amp;uc=20140915&amp;subid=20140915&amp;source=browsersafeguard-rockettab-spigot&amp;version=1.0.5370.12627&amp;implementation_id=browsersafeguard-rockettab-spigot%20&amp;block_host=False&amp;reg=False&amp;redirectms=True   This looks shady and my internet seems slower lately. I have a few questions:   Why is my request going through this strange URL? Do the query parameters reveal my identity? How can I stop this?   I use my cell phone’s 3G network and tether it to my laptop. When should com­pound words be writ­ten as one word, with hy­phens, or with spaces? How to show that $\int_{0}^{\pi}{\sin^5 x\over 1+\cos^3 x}\mathrm dx=\ln 3?$ Given the integral $(1)$     $$\int_{0}^{\pi}{\sin^5 x\over 1+\cos^3 x}\mathrm dx=\ln 3\tag1$$   This integral seems to be quite tough, I can't even know where to start. I have try substitution $u=1+\cos^3 x$ and $u=\cos^3 x$, can seem to remove the x variables.  We have the following identities   $$\sin^5a={5\over 8}\sin a-{5\over 16}\sin 3a+{1\over 16}\sin 5a\tag2$$  $$\cos^3 a={3\over 4}\cos a+{1\over 4}\cos 3a\tag3$$  We may write $(1)$ as  $$\int_{0}^{\pi}{\sin x(1-\cos^2 x)^2\over 1+\cos x(1-\sin ^2 x)}\mathrm dx\tag4$$  $u=1-\sin^2 x\implies \mathrm du=-2\sin x\cos x\mathrm dx$ then $(4)$ becomes  $${1\over 2}\int_{0}^{1}{(1-u)^2\over \sqrt{u}+u^2}\mathrm du\tag5$$  $u=v^2\implies du=2vdv$ then $(5)$ becomes  $$\int_{0}^{1}{(1-v^2)^2\over v+v^4}\cdot{v\mathrm dv}\tag6$$ Simplify to  $$\int_{0}^{1}{(1-v)(1-v^2)\over 1-v+v^2}\mathrm dv\tag7$$  I guess using partial decomposition of fraction and integrate term by term, seem lengthy process  How else can we prove $(1)$? My installation is a Ubuntu 12.04 64 bits (Classic "legacy" MBR - No  EFI/UEFI here) with two partition :   A separate boot partition An encrypted LUKS volume that contains the system Logical Volumes   I seems I accidentaly deleted all the current kernel files with:  sudo apt-get purge 'linux-image-3.8*'    I applied the updates with Ubuntu Software Update, rebooted and then: Ubuntu can't boot.  I tried to boot on a live DVD with a 14.04.1 Ubuntu and can still see my partitions (described later):  /dev/sda1 (boot) /dev/sda2 (Encrypted volume) /dev/sda5 (Logical Volume container)  What are the steps to recover/reinstall the kernel files and dependencies in order to cleanly reboot my installed system?  Thanks in advance Area 51 layout breaks when zoomed to 90% Python ( or general programming ). Why use  instead of != and are there risks? How to define orbital angular momentum in other than three dimensions? How can I transition height: 0; to height: auto; using CSS? Evaluate the integral $\int_{-1}^1\frac{dx}{(e^x+1)(x^2+1)}$. Evaluate:      $$\int_{-1}^1\frac{dx}{(e^x+1)(x^2+1)}$$ Like most Python developers, I typically keep a console window open with the Python interpreter running to test commands, dir() stuff, help() stuff, etc.  Like any console, after a while the visible backlog of past commands and prints gets to be cluttered, and sometimes confusing when re-running the same command several times.  I'm wondering if, and how, to clear the Python interpreter console.  I've heard about doing a system call and either calling cls on Windows or clear on Linux, but I was hoping there was something I could command the interpreter itself to do.  Note: I'm running on Windows, so Ctrl+L doesn't work. For a prime $p \equiv 1$ or $3$  (mod $8$), show that the equation $x^{2} + 2y^{2} = p$ has a solution.   I'd like to see an elementary proof. Page Object Model or External property file for Selenium Object Repository I am a beginner in Selenium WebDriver (Java with TestNg). I'm trying to create a framework of my own.  My question here is what would be the better option to store my objects (basically all the webelements of my website under test), Page Object Model or External Property file? Why? Is there a better method than those? Please help. What are good ways to make pdflatex output copy-and-pasteable? Finding a 2x2 Matrix raised to the power of 1000 Let $A= \pmatrix{1&amp;4\\ 3&amp;2}$. Find $A^{1000}$.  Does this problem have to do with eigenvalues or is there another formula that is specific to 2x2 matrices? I can only move the origin point of the mesh that I selected in object mode, but not the whole mesh Did I set anything up by accident? How do I add polygons to fill a face? trying to recreate this Elijah bottle. I have two sides, one of which is outlined in red. How do I fill that face with polygons so I can then grab the center (that red square dot) to pull it outward thereby creating the slight outward bowing of the bottle?