General input  normal group use $\unlhd$ or $\trianglelefteq$,     I want to get the two symbols in LaTeX:    (I see it at P.Grillet. "Abstract Algebra". 2nd ed, GTM242)  It's like another symbol $\leqq$ and $\lneqq$, and I hope know that how to get I hope them seem like adding a vertical line to $\leqq$ or $\lneqq$, so that the size is relatively close to $\leqq$ or $\lneqq$.  I want to know how to get these two symbols in a simple way.
I know what my symbol or character looks like, but I don't know what the command is or which math alphabet it came from. How do I go about finding this out?
Block specific URL on web browsers I want to block certain URLs on browsers. I don't want to block whole site. For example, I want to block , but not whole  domain. Is there any way I can do it? scp from remote Linux to local Windows with spaces in local path To push a file from a Linux terminal to a Windows system, the following two examples work just fine.  scp /home/user.name/file.html user.name@local.ip.num:/C:/Users/user.name/test_folder/file.html  scp /home/user.name/file.html user.name@local.ip.num:"/C:/Users/user.name/test_folder/file.html"   I need to do this where the local folder has spaces and I cannot change the name,  say /C:/Users/user.name/test folder/  All of the following fail with the message scp: ambiguous target  scp /home/user.name/file.html user.name@local.ip.num:"/C:/Users/user.name/test folder/file.html"  scp /home/user.name/file.html user.name@local.ip.num:"/C:/Users/user.name/test\ folder/file.html"  scp /home/user.name/file.html user.name@local.ip.num:"'/C:/Users/user.name/test\ folder/file.html'"  scp /home/user.name/file.html user.name@local.ip.num:"/C:/Users/user.name/test\\ folder/file.html"  scp /home/user.name/file.html user.name@local.ip.num:"'/C:/Users/user.name/test\\ folder/file.html'"  scp /home/user.name/file.html user.name@local.ip.num:"/C:/Users/user.name/test\\\ folder/file.html"  scp /home/user.name/file.html user.name@local.ip.num:"'/C:/Users/user.name/test\\\ folder/file.html'"   How do I get this to work? Do we use abstract algebra in real life? Do we use abstract algebra in real life?   Is there any application of abstract algebra in real life? I need to know the ip address of another machine in a lan network.  What is the Windows command for getting ip address from machine name and vice versa? This question is actually related to my earlier question ("").  The fact that objects move a lot in the universe and that the universe is expanding, can imply that gravity is a repulsive force that increases with distance.. so the farthest objects repel us more.  This can still explain several existing observations, e.g., why does the apple fall?   Motion is the result of such repulsion. Two objects unlucky enough not to be moving relative to each other get squished due to the repulsion of the rest of the universe  around them. The earth repels the apple less than the stars so it is pushed towards the earth.   Furthermore, it can explain the expanding universe without the need for dark energy.  This could be demonstrated in a thought experiment. If we take a lot of same-charge particles (with small mass) such as electrons and lock them in a large box at a low enough temperature. The mutual repulsion of the particles may cause similar motion as if due to gravitational attraction.   Another experiment would be to measure the slight changes in our weight during day and night when the sun and earth align (if their masses are large enough to detect the feeble change in repulsion).   [EDIT: the question in the original form may not have been clear. It is "can we model".. with a yes/no answer and why (not). If downvoting, please justify. A group such that $a^m b^m = b^m a^m$ and $a^n b^n = b^n a^n$ ($m$, $n$ coprime) is abelian? Let $(G,.)$ be a group and $m,n \in\mathbb Z$ such that $\gcd(m,n)=1$. Assume that $$ \forall a,b \in G, \,a^mb^m=b^ma^m,$$ $$\forall a,b \in G, \, a^nb^n=b^na^n.$$  Then how prove $G$ is an abelian group?  Some context: Some of these commutation relations often imply that $G$ is abelian, for example , or . This looks like another example of this phenomenon, but the same techniques do not apply. How can a "proper" function have a vertical slope? Plotting the function $f(x)=x^{1/3}$ defined for any real number $x$ gives us:   Since $f$ is a function, for any given $x$ value it maps to a single y value (and not more than one $y$ value, because that would mean it's not a function as it fails the vertical line test). This function also has a vertical tangent at $x=0$.   My question is: how can we have a function that also has a vertical tangent? To get a vertical tangent we need 2 vertical points, which means that we are not working with a "proper" function as it has multiple y values mapping to a single $x$. How is it possible for a "proper" function to have a vertical tangent?  As I understand, in the graph I pasted we cannot take the derivative of x=0 because the slope is vertical, hence we cannot see the instantaneous rate of change of x to y as the y value is not a value (or many values, which ever way you want to look at it). How is it possible to have a perfectly vertical slope on a function? In this case I can imagine a very steep curve at 0.... but vertical?!? I can't wrap my mind around it. How can we get a vertical slope on a non vertical function? Do you need to take the Hide action when you are Invisible, make no noise and leave no traces? The Situation: Lets say you are under the effect of Invisibility.  An invisible creature is impossible to see without the aid of magic or a special sense. For the purpose of hiding, the creature is heavily obscured. The creature's location can be detected by any noise it makes or any tracks it leaves.  And you are wearing the Boots of Elvenkind  While you wear these boots, your steps make no sound, regardless of the surface you are moving across. You also have advantage on Dexterity (Stealth) checks that rely on moving silently.  Now your groups ranger or druid casts Pass Without Trace on you.  [...] can’t be tracked except by magical means. A creature that receives this bonus leaves behind no tracks or other traces of its passage.  My Question(s): I know that when you are Invisible and you did not hide, you are still detectable because of the noise and the track you leave behind. But the Boots of Elvenkind and Pass Without Trace take care of that. So:  Are you still required to take the hide action in this situation if you don't want enemies to know your location/presence? If so, why? What gives away your location? If not and you are under the effect of greater Invisibility do you get the benefits of &quot;Unseen Attackers and Targets&quot; for every attack you make when you move between attacks? (You would give away your location, but are not detectable, so completely hidden again when you move) How to convert milliseconds into human readable form? I need to convert an arbitrary amount of milliseconds into Days, Hours, Minutes Second.  For example: 10 Days, 5 hours, 13 minutes, 1 second. I've been hearing some rumors from friends, mostly anecdotal indicating that skills, when gone past 10 (such as initially having 10 in one skill, then finding a bobblehead or skillbook), actually improve past 10.     I can't find any proof of this yet, and my current character right now is slightly incapable of maxing any stats soon to 10 and testing it out. So I'd like to understand if SPECIAL stats increased past 10 show any benefit?  Can SPECIAL stats be increased past 10? If $f$ is continuous on $[a,b]$, $f(x)≥0$ on $[a,b]$ and $$\int_{a}^{b} f(x) =0$$   then prove that $f(x)=0$ for all $x \in [a,b]$.  I tried with Riemann's definite integral definition but couldn't proceed Java Round up Any Number I'm currently trying to configure our exchange 2010 to be used as a external smtp relay. What I'm trying to do is allow certain websites that we manage to send email using our exchange server smtp relay. I was told that I needed to created a receiver connector under Server Configuration>Hub Transport. After I created the receiver connector I added the following confi in which I added the website IP address in the "Receiver mail from remote servers ect" then unders Authentication I selected Externally Secured,TLS and under permissions I selected exchange servers.   I went to one of our websites and configure it with this configuration and I'm still getting "SMTP connect failed."  Can someone help me? or what is the  proper way to get this to work. Multiple websites are going to be using this exchanger server SMTP relay in a secure way. Solving a Diophantine equation with a large solution I'm currently typing a mathematical document which counts many sum symbols. I frequently use the align environment to render equations, although the default behaviour of this environment is to render the equations in displaystyle, which in my opinion wastes vertical space. I therefore have added \textstyle at the beginning of each line of math in this environment, but I'm looking for a more convenient solution.   So is there an environment that is similar to align with the exception it displays textstyle math by default ? Thank you. How can I block all ports except some? I am trying to use iptables but I am clueless in understanding the documentation even so that I've locked myself out of my server twice already whilst trying to implement it.  These are the simple rules that I want to implement:   Allow ports 80, 6667 and 6697 to everyone Allow port 22 to just my IP for example 10.10.10.10   Please can someone help me implement these simple rules, without locking myself out? There are two syntaxes for command substitution: with dollar-parentheses and with backticks. Running top -p $(pidof init) and top -p `pidof init` gives the same output. Are these two ways of doing the same thing, or are there differences? As you know, we can enable the spell checker on single line text boxes in the following way:    We have to enable it every time for checking words.  How can we enable it forever, so it doesn't need to be enabled each time? Is RSA key size the size of private key exponent? How can I change an element's class with JavaScript?