Can you use thieves' tools to construct locks and traps, or do you need heavier tools?
What are the options for player characters to create traps?
What algorithm for a tic-tac-toe game can I use to determine the "best move" for the AI? Each site got a &quot;hot&quot; tab, where its contents are calculated based on . However take a look on the screenshots below and see for yourself that &quot;hot&quot; got nothing to do with many of the questions listed there. :    :    As you can see, there are questions with negative score, no answers, and even closed. I won't be surprised to see spam in there as well. This can't be any worse. What I suggest, instead of fixing the formula or patching it, simply have the hot tab show the same questions as the Hot Network Questions sidebar. (from the specific site only, of course.) Since the hot questions &quot;pool&quot; (as seen ) is limited to 100 for the whole network, either expand it or have the per-site list show questions with less hotness points - it would still be better than what we have now. Coulomb's Law states that the fall-off of the strength of the electrostatic force is inversely proportional to the distance squared of the charges. Gauss's law implies that the total flux through a surface completely enclosing a charge is proportional to the total amount of charge. If we imagine a two-dimensional world of people who knew Gauss's law, they would imagine a surface completely enclosing a charge as a flat circle around the charge.  Integrating the flux, they would find that the electrostatic force should be inversely proportional to the distance of the charges, if Gauss's law were true in a two-dimensional world. However, if they observed a $\frac{1}{r^2}$ fall-off, this implies a two-dimensional world is not all there is. Is this argument correct? Does the $\frac{1}{r^2}$ fall-off imply that there are only three spatial dimensions we live in? I want to make sure this is right before I tell this to my friends and they laugh at me. Now that I know , I was wondering how I can restart the phone or turn it off.  The lock button is completely unresponsive and holding it down does nothing. Are there any workarounds besides replacing the button? Are the rationals a closed or open set in $\mathbb{R}$? Version: Ubuntu 16.04  I have used it some weeks, but now it gives me this message when I'm trying to install software and update or upgrade:  Could not get lock /var/lib/apt/lists/lock - open (11: Resource temporarily unavailable) /var/lib/apt/lists/ locked   followed by this:    .  and another error:  ** (appstreamcli:4560): WARNING **: Exception: Unable to get write lock on /var/cache/app-info/xapian/default: already locked   What should I do? How to convert java.util.Date to java.sql.Date? I am trying to use a  as input and then creating a query with it - so I need a .    I was surprised to find that it couldn't do the conversion implicitly or explicitly - but I don't even know how I would do this, as the Java API is still fairly new to me. If $f:\mathbb{R}\rightarrow \mathbb{R}$ is differentiable and $\lim_{x\to \infty } f^\prime(x)=0$ show that $\lim _{x\to \infty } (f(x+1)-f(x))=0$. Having some trouble proving this:     If $f:\mathbb{R}\rightarrow \mathbb{R}$ is differentiable and $\lim_{x\to \infty } f^\prime(x)=0$ show: $\lim _{x\to \infty } (f(x+1)-f(x))=0$   Attempt: from $\int \lim _{x\rightarrow \infty } f^\prime(x) \mathrm{d}x=0$ we can say that $f^\prime(x)=const$ would we then have to show that  $\lim _{x\to \infty } (f(x+1))$ is also a constant? From there if we show that both are equal then the difference is zero. I am on the right track?  Thank you for the help. Intutitive meaning behind the formal definition of sufficient statistic? According to the definition of sufficiency, a statistic is sufficient for a parameter if the conditional distribution of $X$ given a value of statistic does not depend upon the parameter.   What I am trying to understand is how does conditional distribution of $X$ not being a function of the parameter fit into the intuitive meaning of sufficiency i.e statistic value holding the same amount of information as that of the respective sample. Let $I = \{a +ib \in \Bbb Z[i] : a$ and $b$ are both multiple of $5\}$. Possible bug in sidebar "question asked:" date How can I port forward with iptables? Differential form is closed if the integral over a curve is rational number. The following problem comes from do Carmo's book Differential Forms and Applications, Chapter 2, Exercise 4:  Let $\omega$ be a differentiable 1-from defined on an open subset $U\subset \mathbb{R}^n$. Assume that for each closed differential curve $C$ in $C$, $\int_C \omega$ is a rational number. Prove that $\omega$ is closed.   Can anyone give some hints? My idea was that we could try to show the integral vanishes if the curve lies in $N_\epsilon (p)$ (i.e. a small neighborhood around $p$) for any $p$ in $U$ and use the Poincare Lemma, but failed. Where are the Stack Exchange data dumps? I see a lot of talk around here regarding the Stack Overflow public data dump.  Where is it? How can I play with it? I believe that umask is something that controls , but do not fully understand it.  After running umask 0644 in a , I cannot read the files I create with the command-line text editor nano. I noticed that the permissions of that file are set to 0022 instead of the default 0755.  How does umask work? I thought I could just remove the each digit in the umask from 0777, 7 - 6 = 1 and 7 - 4 = 3, so I expect the permissions to be 0133, but apparently, this is not the case.   What is umask exactly? Explain it to me like I was a "Linux noob" How do I calculate with umask? What are use cases for umask? Looking for title/author of SF novel about malevolent creatures/gods residing inside stars Intuition for Smooth Manifolds Consider the graphs of the functions $f_1(x) = |x|$, and $f_2(x) = x$ under the subspace topology of $\mathbb{R}^2$.   Both of these graphs are smooth manifolds, just pick coordinate charts to be $(x, f_i(x)) \leftrightarrow x$.   Moreover, they are diffeomorphic via the map $(x, f_1(x)) \rightarrow (x, f_2(x))$.   This seems to clash with my intuition. For example, the graph of $f_1$ has a corner, so it "shouldn't" be smooth, much less diffeomorphic to $f_2$, which is just a straight line.   Can someone explain what's going on here?   In light of these examples, how should I visualize smooth manifolds and diffeomorphisms? locating latitude-longitude point in a piste-map with matrix transforms I am trying to plot points of a particular latitude longitude on this image of a Swiss mountainous landscape.    What I am doing is I have some 54 known location-points plotted on this image (not visible in the linked image), which is a piste map, and is therefore an artist's impression of the landscape. I found out the latitude-longitudes and also height above sea level for these 54 known points. I opened my piste map in the GIMP, and plotted the 54 points, while at the same time reading their co-ordinates in points, in the piste-map. So, I have x-y coordinates (lat-long) and z coordinate (height above sea level) for all those 54 points (so its a 3d co-ordinate system that I have), and I also have X-Y coordinates of those places in my piste-map (a 2d co-ordinate system), and I assume a Z=1 for all those points.   To locate a particular lat-long on my piste-map(I have the coordinates for this place, i.e. the lat-long but not elevation), I need to calculate their X-Y on the piste-map. My approach is, that I calculate distances between this point which is to be located and those 54 known points , and then I sort them in ascending order. The first two points in this order will be the nearest points to the one which we want to locate. Now, I find my 3rd known point, and for that, I loop over the rest of the points, to get the nearest possible point such that this point forms a triangle with the first two closest points with the point which is to be located falling inside the formed triangle. Now, I have three known points forming a triangle say triangle ABC. For these known points, I have a triangle A'B'C' in the piste map, and the point to be located lies in the latter. I figure out the transform matrix which when multiplied with the 3X3 matrix of the three known points(in this 3X3 matrix, each row corresponds to a point, with the column values x,y and z in the 3d scape) results in a 3X3 matrix of those points in the piste-map. I multiply this transform matrix calculated with a new 3X3 matrix for three points, the first one being the point to be located, and the remaining two are the last two known points in the first 3X3 matrix. This way, the first two elements of my resulting matrix are the X and Y values for the point to be located, and I proceed ahead to draw the point on the piste-map. Is this approach correct with respect to the way I am using the transform matrix? Thanks! I would really appreciate if any alternative approaches are suggested as well! jQuery animate() I usually am able to render successfully to the c:\tmp folder, but when I came into work today, I rendered out the image on my work laptop, and everything seems to work, but I'm not getting an output to the tmp directory.  Does anyone know how to make this work?