I'm about to start running a homebrew seafaring campaign in which my PC's will spend the vast majority of the narrative travelling on a boat, far from the mainland, on a diplomatic mission to explore a newly discovered archipelago.  While they are geographically distant from their homeland and their country's authorities (initial quest givers), and constantly on the move,  I would nonetheless like there to be some limited channel of communication between the ship and the mainland - basically, a way that they can send progress reports from the ship back to the government and receive fresh commands / periodic updates on what's happening at home.  The way that I've hit on doing this is through something like a , one of which is on the boat and one on the mainland (inspired by Harry Potter). Objects (in this case written documents) which are placed in one cabinet disappear from that cabinet, when it is closed and appear in the other. These cabinets would be small enough to prevent people travelling through them.  I currently plan on homebrewing this but, can such an effect, or something very similar to this, be achieved through any official spells or items?  Solutions should take into account:   The boat will be constantly moving - the mainland will not know the PC's location in advance to send things to them. There will not initially be any high level magic users on the boat - though there may be high level NPCs on the mainland. The PC's will start the game at a low level and I don't want to populate the boat with party-allied NPC's that are more capable than the PC's themselves are. Otherwise why would such an NPC stay on the boat whenever they make landfall, rather than boosting the PC's landing party? my preference would be for a system that transports actual physical objects (such as written documents), rather than provides some form of psychic connection.
In our 5e game, we stole a boat. And a horse carriage. And a lot of other stuff for moving things between cities.   Our DM meant for this to be a way to skip road encounters. We decided to fund a shipping company and hire managers (Knights retainers, etc.) to turn a profit. The DM ruled that these would cover lifestyle expenses, provide us with easy smuggling, etc.   However, we want to keep tabs on the treasure we're moving back and forth.   What can we use for communicating with our managers from anywhere in the world? What about from say, across the city?  We don't need to communicate often or for long - a single round will work. All we need is for the manager to say "we need you back"
Evaluate $\int \cos(3x) \sin(2x) \, dx$. Evaluate the indefinite integral    \begin{align} \int \cos(3x) \sin(2x) \, dx \end{align}   Please see my work attempt as my answer below. Need hint: Determine whether the series $\sum_{n=1}^{\infty}(\frac{n}{n+1})^{n^2}$ is convergent or divergent. I'd like to be able to introspect a C++ class for its name, contents (i.e. members and their types) etc. I'm talking native C++ here, not managed C++, which has reflection. I realise C++ supplies some limited information using RTTI. Which additional libraries (or other techniques) could supply this information? Objects with transparent texture not always show transparency in 3dview For some reason objects don't show their transparency all the time.  In this image the circles in red are suposed to be transparent like the ones in green.    When I select the object in the back, all objects in front of it become opaque.    When I select the two objects that are opaque, then they become transparent as they sould be.    The display is in GLSL mode  These are the material and texture properties      I'm not worried about the final render, just the editing view. I would like to see the actual transparency at editing time only, because the scene is to be imported in a third party game engine.  Blender is v2.68   is the blend file Is it possible to install Steam games to two different locations? I want to build a new PC with a smallish SSD.  I'd like to be able to install some of my games onto the drive (those I care about loading quickly or I play frequently), but have the rest of them on a larger, slower drive.  Anybody know if this is possible?  I'm kind of guessing it's not, but figured I'd ask anyway. Disease transmitted by postage stamps Summarizing flatness of county with statistic Elevation variance per square mile I need to classify every county in the US as either hilly, moderately hilly, or flat. Accuracy is not critical, just a rough classification. I used R and followed the advice in  answer to import elevation and counties and calculated the zonal variance. This was inherently biased towards larger counties since they have more surface for hills, so I need to divide by area. If I divide variance by square miles does that reasonably represent hilliness? The preliminary results seem decent, with the highest values being places like Colorado, Hawaii, Montana, etc. I recently read that:     What our current level of thermodynamics does tell us though is that if there is such a thing as a Big Crunch, the universe will look a lot different as it heads towards collapse than it did when expanding – the universe started in a state of low entropy and high order and will end in a state of high entropy and   low order.   But shouldn't the order be in a high state and hence entropy becomes a low state in the Big Crunch (assuming a closed universe)?  The reason I write this is because the gravitational forces in a closed universe are so strong they will cause gravitational collapse so the universe will shrink and go backwards, eventually through all the stages of the big bang and become a singularity once more.   It was my understanding that a singularity has a state of high order and low entropy. Have I got this the wrong way round?   If so; Can someone please explain why? Direct Link to a Comment Evaluation of $\int_{0}^{1}\frac{x\ln (x)}{\sqrt{1-x^2}}dx$ Evaluation of $\displaystyle \int_{0}^{1}\frac{x\ln (x)}{\sqrt{1-x^2}}dx$   $\bf{My\; Try::}$ Let $\displaystyle I = \int_{0}^{1}\frac{x\ln x}{\sqrt{1-x^2}}dx\;,$ Put $x=\cos \phi\;,$ Then $dx = -\sin \phi d\phi$  and Changing Limit, We get  $$\displaystyle I = -\int_{\frac{\pi}{2}}^{0}\cos \phi \cdot \ln(\cos \phi )d\phi = \int_{0}^{\frac{\pi}{2}} \ln(\cos \phi)\cdot \cos \phi d\phi$$  Now Using Integration by parts, We get  $$\displaystyle I = \left[\ln(\cos \phi)\cdot \sin \phi\right]_{0}^{\frac{\pi}{2}}+\int_{0}^{\frac{\pi}{2}}\frac{\sin^2 \phi}{\cos \phi}d\phi$$  So $$\displaystyle I = \left[\ln(\cos \phi)\cdot \sin \phi\right]_{0}^{\frac{\pi}{2}}+\int_{0}^{\frac{\pi}{2}}\frac{(1-\cos^2 \phi)}{\cos \phi}d\phi$$  So $$\displaystyle I = \left[\ln(\cos \phi)\cdot \sin \phi\right]_{0}^{\frac{\pi}{2}}+\int_{0}^{\frac{\pi}{2}}\sec \phi d\phi-\int_{0}^{\frac{\pi}{2}}\cos \phi d\phi$$  So $$\displaystyle I = \left[\ln(\cos \phi)\cdot \sin \phi\right]_{0}^{\frac{\pi}{2}}+\left[\ln\left|\sec \phi+\tan \phi\right|\right]_{0}^{\frac{\pi}{2}}-\left[\sin \phi\right]_{0}^{\frac{\pi}{2}}$$  So $$\displaystyle I = \left[\ln(\cos \phi)\cdot \sin \phi\right]_{0}^{\frac{\pi}{2}}+\left[\ln\left|\sec \phi+\tan \phi\right|\right]_{0}^{\frac{\pi}{2}}-1$$  Now How can I solve after that, Help Required, Thanks Given a subset $A$ of $\mathbb{R}^{n}$, a point $x \in \mathbb{R}^{n}$ is said to be in the boundary of A if and only if for every open rectangle $B\subseteq\mathbb{R}^{n}$ with $x\in B$, $B$ contains both a point of $A$ and a point of $\mathbb{R}^{n}\setminus A$.  My question is from Spivak's Calculus on Manifolds: Construct a set $A \subseteq [0,1]\times [0,1]$ such that $A$ contains at most one point on each horizontal and vertical line but has boundary equal to $[0,1]\times[0,1]$. What was the inspiration for the design of R2-D2? Looking at R2-D2, I can't think of any robots I've seen in science fiction that vaguely resemble R2D2's design.  What was the inspiration for the design of R2-D2? Can I fail to deserialize with XmlSerializer in C# if an element is not found? I am using XmlSerializer to write and read an object to xml in C#.  I currently use the attributes XmlElement and XmlIgnore to manipulate the serialization of the object.  If my xml file is missing an xml element that I require, my object still deserializes (xml -> object) just fine.   How do I indicate (preferably via Attributes) that a certain field is "required"?  Here is a sample method of what I am using currently:  [XmlElement(ElementName="numberOfWidgets")] public int NumberThatIsRequired {     set ...;     get ...; }   My ideal solution would be to add something like an XmlRequired attribute.     Also, is there a good reference for what Attributes are available to manipulate the behavior of XmlSerializer? I edited a question, on Stack overflow and when submitting preview, got red bar telling me my account isn't allowed to make suggested edits.  On the Sandbox android question it works fine, but that is editing an answer to my question.   The message I receive is:     Account is not allowed to suggest edits   Are the rules for suggested edits different for Android app? Are there surface-mount pin header footprints for KiCAD? I'm designing a small module that breaks out a DIP SPI EEPROM to a 2x5 pin header socket(more info here: ). I want to mount the socket on the end of the board, with the pins lying parallel to the board.  I think two 5x1 surface-mount header footprints, on both sides of the board right near the end would do the job. Trouble is, KiCAD doesn't come with such a footprint(if it does, I haven't found it yet). Where might I find one? If one doesn't exist, that's OK; I'll have a shot at making my own. Security of GCM if Implemented with Stream Cipher instead of Block Cipher Move all files within subfolders to parent folder Firstly, I'm aware there are tons of similar questions, and I know because I must have tried adapting at least 5 of them, but I'm still here asking because my crappy grasp of CMD (which I actually thought I was getting good at up until this point) is frustrating me with generic, unhelpful errors, and I can't understand what part of the syntax is wrong. This is likely due to the fact that other questions deal with the folder/filename structures of their respective OPs, and when I try to adapt the code to my own folder/file structure it refuses to work. Therefore, I'm here asking for a CMD for loop solution that'll actually work for my own file and folder structure.  I have a parent folder which contains many other folders, in which there are files:  Parent Folder      Subfolder            File1            File2      Subfolder            File1            File2      Subfolder            File1            File2   ...and so on.  I'm wanting to use a CMD for loop in combination with the move command to extract all the files in the subfolders to the parent folder, leaving each subfolder empty.  When giving the CMD for loop please break down what each part of the command is doing, as this'll help make sure I understand the code and hopefully minimise the trouble I have getting it to work for myself. Entropy of sum is sum of entropies Solving binomial theorem via induction How do I install an application from a .dmg disk image? I've downloaded Firefox and it's now sitting on my desktop as Firefox.dmg. When I double click on Firefox.dmg it opens up a window with Firefox in it so I can use it - does this mean the application has been installed?    Community Wiki'd the question because I think it's a worthwhile question to have on the site for pointing people to, it's not exactly intuitive to do and not a question I think I deserve any rep from.