Can we import a module by tracing it which is not in sys.path, instead it is in some child folder of my CWD
How to import a module given the full path?
What does the word "SARGable" really mean? Jquery validation not working with ckeditor Number of equivalence relations on a set Studying for an exam, a review question...  Given $G=\langle x,y|x^4=y^4=e,xyxy^{-1}=e\rangle$.    Show $|G|\leq16$.   For this, I want to consider that $x^3=x^{-1}$ and $y^3=y^{-1}$ based on our assumptions. I am a little lost as to how to put the second part, $xyxy^{-1}=e$ to show there are no more than 16 elements.   If $|G|=16$, find the center of the group and find a group that is isomorphic to $G/\langle y^2\rangle$.   I'm pretty sure the group is centerless. Ragged Right linebreaking, such that the last line is fullest, and the first most empty How to add line break to caption without using caption package I wish to add a line break to a caption, but I would wish to avoid adding of caption package. Is it possible?  \documentclass{article} \usepackage[format=plain,  justification=raggedright,singlelinecheck=false]{caption} \begin{document} \begin{figure} \caption{This is the caption\\ This is the second line} \end{figure} \end{document} Poincaré inequality for a subspace of $H^1(\Omega)$ The following is the well known  for $H_0^1(\Omega)$:       Suppose that $\Omega$ is an open set in $\mathbb{R}^n$ that is bounded. Then there is a constant $C$ such that   $$ \int_\Omega u^2\ dx\leq C\int_\Omega|Du|^2\ dx\quad \textrm{ for all   }\ \ \color{red}{u\in H_0^1(\Omega)}. $$   Here is my questions:    Can the condition $u\in H_0^1(\Omega)$ be relaxed so that the inequality is still true? More precisely, suppose $H$ is a subspace of $H^1(\Omega)$ such that for any $u\in H$, $u|_\Gamma=0$, where $\Gamma$ is a ([Added:]nonempty) closed proper subset of the boundary $\partial\Omega$ and the idenity is in the sense of trace. In other words, $u$ is only zero on a part of the boundary. Do we still have the Poincaré ineqaulity in $H$?    [Added:] This question is motivated by the following exercise How to prevent Google from finding my admin index page? How can you prove that a function has no closed form integral? In the past, I've come across statements  along the lines of &quot;function $f(x)$ has no closed form integral&quot;, which I assume means that there is no combination of the operations:  addition/subtraction multiplication/division raising to powers and roots trigonometric functions exponential functions logarithmic functions  which when differentiated gives the function $f(x)$. I've heard this said about the function $f(x) = x^x$, for example. What sort of techniques are used to prove statements like this? What is this branch of mathematics called?  Merged with &quot;&quot; by : Sometimes we are told that some functions like $\dfrac{\sin(x)}{x}$ don't have an indefinite integral, or that it can't be expressed in term of other simple functions. I wonder how we can prove that kind of assertion? Can the milky way actually be photographed ? I know the image is manipulated, and is probably a composite, but how do you capture such contrast in the milky way? Is an equitorially mounted scope required? Any advice or pointers are welcome, thanks.  I'm heading out towards much less light polluted areas middle of next week and I want to try some nighttime sky captures with my 7D.  Additional info: I just found  on wikipedia that says: 54s, tripod mounted 5D, 16mm lens, f/2.8, ISO800. What else do I need to be aware of? My 7D is only an APS-C and the widest lens I have is 19mm. I'm thinking that might not be wide enough to capture an interesting shot? Access Javascript variable inside of an Apex:repeat I am currently trying to add some customer markers to a map. I can add a single marker to the map but when I move that same logic inside of an Apex:repeat I no longer have access to the map variable.  My Javascript:  &lt;script type="text/javascript"&gt;      function initialize() {       var mapProp = {         center:new google.maps.LatLng(52.634092,-0.148315),         zoom:10,         mapTypeId:google.maps.MapTypeId.ROADMAP       };                  var map=new google.maps.Map(document.getElementById("googleMap"),mapProp);            }     google.maps.event.addDomListener(window, 'load', initialize); &lt;/script&gt;   My VP page:     &lt;apex:repeat value="{!Locations}" var="local" id="mapMarkers" &gt;     &lt;script type="text/javascript"&gt;          var lat = '{!Locations[0].Geolocation__Latitude__s}';         var lng = '{!Locations[0].Geolocation__Longitude__s}';         var marker=new google.maps.Marker({             position: new google.maps.LatLng(lat, lng)             });                   marker.setMap(map);      &lt;/script&gt; &lt;/apex:repeat&gt;   The !Locations list is in my controller and just pulls the latitude and longitude from my Tree__c object:     public List&lt;Tree__c&gt; getLocations() {     List&lt;Tree__c&gt; locations = Database.query('SELECT Geolocation__Latitude__s, Geolocation__Longitude__s FROM Tree__c WHERE Geolocation__Latitude__s !=null AND Geolocation__Longitude__s !=null ');     return locations; } PrintWriter and PrintStream never throw IOExceptions Some days ago I realized that  (as well as ) never throw an IOException when writing, flushing or closing.  Instead it sets an internal flag (trouble=true) when an error occurs. It's not possible to get the exact exception, but only if there was some exception ().  My question is: why would one want to have such behavior? Isn't that bad API design? Is it possible to determine the exact date and time (if possible) of creation of an Apple ID?   Is there any official or unofficial way to establish this if you don't have the initial sign up information recorded? Does $\sum\limits_{k=1}^n 1 / k ^ 2$ converge when $n\rightarrow\infty$? I can prove this sum has a constant upper bound like this: $$\sum_{k=1}^n \frac1{k ^ 2} \lt 1 + \sum_{k=2}^n \frac 1  {k (k - 1)} = 2 - \frac 1 n \lt 2$$ And computer calculation shows that sum seems to converge to 1.6449.  But I still want to know:  Does this sum converge? Is there a name of this sum (or the series $\frac{1}{k^2} $)? curl in Mathematica, google link-shortener Cycles: How do I exclude the Environment Texture from reflections? In a Cycles scene I have an equirectangular image serving as an Environment Texture background (set in the World settings).  I have a glossy object being partially lit by the Environment Texture, as well as getting reflections from it.  Is there a way I can exclude the Environment Texture from affecting the glossy object completely? I want the image as background wallpaper only. The glossy object should be affected by other objects and lights within the scene: everything except the Environment Texture. Seeking world map with boundaries of regions and communities for commercial use? Is there an overall view of your cities? Do Mandalorians truly never remove their helmets? In episode 3 of The Mandalorian, it is said that Mandalorians never remove their helmets for any reason. Really? Not even to sleep or bathe? Is there any canonical source for this idea? I’m going to assume that the “never” implies “Never removes their helmets in public…” right?  But in flashback scenes to the Mandalorian’s childhood, nobody is really pictured wearing Mandalorian armor let alone helmets. They simply seemed like basic humans who might just be unified by wearing maroon wardrobes all the time.  So what is the deal with this claim? What is the canonical context of the claim?      Looking for in-universe, canonical explanations; not armchair speculation and theories. If none (currently) exist, legends explanation would suffice. Regardless, please provide references and context. Clear item with custom name?