How to proof if these graphs are isomorphic or no?
How to tell whether two graphs are isomorphic?
I've been riding a mountain bike for years, but I prefer to go longer distances on paved ground, so I think a road bike would be better. When I ask what is a good bike, I don't need brands or models - more like what components of the bike should I look for, and what should I avoid? Additionally, is it necessary to "go big or don't go at all" as far as spending - getting a real good quality road bike for $500 to a few thousand, or should I cheap out on a $100-200 road bike, as it is my first, then get a better one when I'm more experienced? Fluid filled harmonic oscillator A vessel (preferably circular) filled with water is accelerating unidirectionally such that the level of water is higher on one end than the other. What I want to know is that if the vessel is immediately stopped, the water level will force itself back to the equilibrium point, but in doing so push the other end up. If water is an ideal fluid, what type of oscillation will occur in this situation.   I can tell that maybe the mathematical expression for this oscillation will be complex, but please do let me know if I am thinking this correctly.   I am considering, finding the oscillation equation for infinitesimally small u-tubes(considering a 2-d plane) and integrating it to get the final expression.  Thanks in advance Do I have to worry about copyright issues for code posted on Stack Overflow? I was wondering about the copyright of code snippets from answers. Let's say you ask a question and the solution consists of ten lines of code, which are given in an answer. Are there any restrictions about the use of that code?   It seems that the content of this page is under the . So does one have to attribute the author if code is used in an open source project? Can it be legally used in closed source projects at all?  I guess ten lines of code are not really problematic, but is there a critical number of lines? I have a .NET 2.0 WinForms application with a ToolStrip on my main form. Sometimes, the ToolStrip icons don't respond to the first mouse click, so I have to click the icon twice. It's just a standard ToolStrip with several icons and tooltip texts, I don't do anything special. Is this common? How do you left pad an int with zeros when converting to a String in java?  I'm basically looking to pad out integers up to 9999 with leading zeros (e.g. 1 = 0001). What are uses of the C++ construct "placement new"? Meaning of the chemical potential for a boson gas My lecturer told me that $\mu$, the , is zero or negative, and in the following example, mathematically it acts as a normalization constant. But is there any physical insight about why boson gas can be zero or negative? I think it is due to the fact the photon gas can pop up from nowhere (i.e. vacuum fluctuation). $$ f_{BE}(\varepsilon)=\dfrac{1}{e^{(\varepsilon-\mu)/(k_B T)}-1}$$ I want to show the IP address like below  lo : 127.0.0.1  eth0 : 192.168.5.123 eth1 : 192.172.0.212 wlan0 : 10.1.0.124   I'm able to print all IP address by ifconfig | awk '/inet addr/{print substr($2,6)}'. But it is only printing the IPs. Every system have their own interface names and addresses. So my script has to show their interfaces with respect to IP addresses. Can SMT give worse performance than normal CPU? Python 3 with QGIS on Mac? How can you find out which process is listening on a TCP or UDP port on Windows? I'm trying to run a gunicorn_django process in supervisor but it always exits immediately, giving this error:   INFO exited: my_app (exit status 1; not expected) INFO received SIGCLD indicating a child quit INFO gave up: my_app entered FATAL state, too many start retries too quickly   My server script looks like this:  #!/bin/bash set -e LOGFILE=/var/log/gunicorn/my_app.log LOGDIR=$(dirname $LOGFILE) NUM_WORKERS=3 USER=my-www-user GROUP=my-www-user cd /home/my-www-user/my_app source /home/my-www-user/.virtualenvs/my_app/bin/activate test -d $LOGDIR || mkdir -p $LOGDIR gunicorn_django -w $NUM_WORKERS --debug \  --user=$USER --group=$GROUP \  --log-level=debug --log-file=$LOGFILE 2&gt;&gt;$LOGFILE\  --pythonpath=my_app --settings=settings.active \  my_app.wsgi:application   And my supervisor config looks like this:  [program:my_app] directory=/home/my-www-user/my_app/ user=my-www-user command=/home/my-www-user/my_app/server.sh stdout_logfile=/var/log/supervisor/my_app.log stderr_logfile=/var/log/supervisor/my_app-error.log autostart=true autorestart=true   When I su into the my-www-user account the server starts normally. When I do sudo supervisorctl start my_app it simply hangs until I do CTRL-c, then I find the error above in the supervisord.log file.  Does anyone have a clue about what I am missing? jQuery: Javascript throws Error "The operation is insecure" when setting value This is homework. I've tried my best to find the best answer that I could understand and could be accepted by my lecturer.   I've searched my lecture notes, wiki and google to find some good explanation defining solar irradiance. But somehow I still don't understand how I should 'define solar irradiance'. Can someone give me a few good sentences explaining solar irradiance. What are the changes, if any, in a photovoltaic cell (in terms of short-circuit current and open-circuit voltage) if the irradiance is reduced by 50%? Is 'hair' singular or plural? When one says I was washing my hair, is it singular or plural? What is the singular for hair? How to avoid procrastination during the research phase of my PhD? How would one be able to prove mathematically that $1+1 = 2$? Is it possible to prove that $1+1 = 2$? Or rather, how would one prove this algebraically or mathematically? How to loop the particle simulation indefinitely? Neopronouns or trolling? It’s the  question: Am I looking at someone’s legitimate pronouns or trolling?   (It’s unfortunate I have to ask, but this is just where we are right now.)  I’ve seen “my pronouns are [insert ridiculous fake stuff here]” trolling recently (in posts) when before I never did. Also stuff that looks to be trolling, but could also maybe not be. Trolls deserve red flags while everyone else specifying pronouns does not, right?  (To clarify, the problem is not just about not wanting to use a troll's words. The purpose of some of this trolling is to try and convince people that transgender people—or their neopronouns—are stupid or unreasonable. Ignoring the trolls allows us to avoid the first problem, but not the second since it allows them to still reach people with their message, which is not something that I want to see promoted.)  Some neopronouns are clearly legitimate. Some trolling is clearly trolling. But unfortunately there’s a big grey area where it’s not clear to me what is what.   Does anyone have a good method for dealing with this? There just doesn’t even seem to be a good way to ask about someone’s specified pronouns in such a way that doesn’t sound insulting if the user isn’t trolling.     Note: A while ago, I did some research on neo-/third person pronouns which can be found . There are several important things I found:   There are more neopronouns than I could ever hope to keep track of The most popular neopronouns are very uncommon. On the other end of the spectrum, it looks like some neopronouns are neologisms used by a single person  Some neopronouns come from unlikely places, such as SciFi How to Self-Study Mathematical Methods? Edit:  Ok, user  made comment that truly helps narrow the focus of my question. Basically, I'm asking for a self-study course of Mathematical Methods.  Thanks to his recommendation I identified a book that is very close to the answer:  Mathematical Methods in the Physical Sciences by Mary L. Boas  Supposedly, the book covers most of the Math a person needs to learn in order to understand the simulations I presented.  Does this book suit my needs?    Hello,  I have always been interested on the idea to study Math at an Undergraduate level to be able to implement simulations like the followings:  Finite Difference Simulation of the Wave Equation    Heat Equation in Two Dimensions    Besides my precollege experience in Math, I have only been able to do very simple simulations due to my lack of knowledge of Advanced Math. Every time I ask about the inner workings of the simulations I get redirected to papers that look like foreign language to me and, unfortunately, I depend on easy-to-read tutorials to understand them, and while I have found   I'm more interested in reaching the solution myself.  I checked some of the questions related to book recommendations for self-study and while they are very helpful I'm interested in learning by example (There is a book called: "Accelerated C++ Practical Programming by Example" that fits very well my study habits)  Thanks in advance.