I am trying to find a story I read as a child.  I remember little about it except for the following:   I suspect I read it before 1985, but it was a school library book which means it could be God knows how much older than that.   This may mean it was a book meant for younger readers.  In memory it "feels" longer than a short story, but I was a bit young to be reading novels.  If I had to guess, I would guess novella length or shorter. English language, available in the United States. Contains several descriptions and ideas that stuck with me:   The overall idea was that there were "parallel" worlds, parallel like the pages of a book, except for one that was (for whatever reason) skew to the rest, or warped somehow, and therefore intersecting the rest Geometry between that world and the rest seemed fundamentally incompatible as a result The most evocative example of this (by definition, since it is the only one I recall with clarity) is a description of... something... as looking like "Two concentric circles, intersecting in three places."  This is obviously gibberish (concentric circles intersect nowhere unless they also have the same radius in which case they overlap perfectly; non-concentric circles that do intersect do so only at two points) but I was just old enough to realize it was gibberish being used to a purpose.  It stuck with me.
In the 1960s I read book--an older children's book, I think--which I loved, and still remember, roughly.  I have no idea what the title is or who the author is, and I'm wondering if anyone knows this one:  Scientists had invented a device which they didn't fully understand, and which had puzzling effects.  For example, when a pencil was put into the machine, it disappeared, and then reappeared inside out: The lead was on the outside.  When people went into the machine, they came back dead, having died from fright.  Finally they sent a very open-minded person into the machine.  She was an artist, I think.  She was able to return alive, and described an alternate universe in which geometry was very different.  I distinctly remember that there were supposedly square triangles or four-sided triangles--or was it three-sided squares?  (This is, of course, a literally contradictory claim, but I didn't see the matter as clearly then.)  Thanks!
I am sure this question has been asked in some capacity on this site. I am a first year graduate student. I was contracted for a summer program that would have looked very good on my CV about 6 weeks ago.   However, due to the spread of COVID-19 the program was cancelled. Is there any way I can express this on my CV (possibly have an asterisk next to this activity)? If not, how should I explain the situation when applying for positions next year (because, now it is unlikely I will have anything noteworthy to put on my CV for this summer).  Thank you Reason behind this self invoking anonymous function variant My book gives the following definition:     Let $(M,d)$ be a metric space, and let $\mathcal{T}$ be the collection of all subsets of $M$ that are open in the metric space sense...  $\mathcal{T}$ is called the topology generated by d   Then it later says to prove things about two different metrics generating the same topology. However I'm very confused about what all this means.   When I read "all subsets," I think of the theorem that says a set with $n$ elements will have $2^n$ subsets. (ex. all the subsets of $\{1,2,3\}$ are $\{\emptyset, \{1\},\{2\},\{3\},\{1,2\},\{1,3\},\{2,3\},\{1,2,3\} \}$). So I think "all subsets that are open" would be like, If M is the set (1,5), then an open subset would be any set $(a,b)$ where $1&lt;a&lt;b&lt;5$, and then all subsets would be all possible union combinations of these "$(a,b)$" sets.     Its seems to me that metrics have nothing to do with subsets. Clearly there is something i'm not understanding. Please Help me.   It would be very enlightening, if someone could give me some simple examples of 1 set and 2 metrics generating two different typologies. Cool Text Highlighting in LaTeX Well, the original task was to figure out what the following expression evaluates to for any $n$.  $$\begin{pmatrix} 1 &amp; 1 \\ 0 &amp; 1\end{pmatrix}^{\large n}$$  By trying out different values of $n$, I found the pattern: $$\begin{pmatrix} 1 &amp; 1 \\ 0 &amp; 1\end{pmatrix}^{\large n} = \begin{pmatrix} 1 &amp; n \\ 0 &amp; 1\end{pmatrix}$$  But I have yet to figure out how to prove it algebraically.   Suggestions? I accidentally moved all folders from root to a subfolder. (/bin, /etc, /home, /lib, /usr... all moved) The only ones that were not moved, since they were in use, are  /bak, /boot, /dev, /proc, /sys.  Now, any command that I try to execute will simply not happen. I constantly get "No such file or directory".  I am connected through ssh and through ftp, but I cannot move files through ftp, as direct SU login is disabled. I also have access to the actual server if I need to do something directly from there.  I'm assuming I would need to edit a configuration file in order to tell it where to find the /bin folder and that would help me get access again, but I don't know which file that would be or how to do it (since I can't even run chmod to change permissions).  Is there any way out of this other than re-installing?  I am working on an old version of CentOS.  I'm extremely new to the world of Linux, hence this action and the question... Why cant we replace diode connected BJTs by simple diodes in a current mirror circuit? I found the .bashrc file and I want to know the purpose/function of it. Also how and when is it used? INNER JOIN ON vs WHERE clause I am using Google Chrome. I re-installed it today as it was crashing when I start it. I guess may be that this was due to any of my Extensions or Google Update. I disabled my extensions but it was still crashing. Now I installed an old version of chrome from . However, Chrome automaticallyuppdates itself (although Windows asks me before installing and I don't grant it permissions, its still annoying to get Google update asking me permission after a couple of minutes.   I saw the question at  however, it doesn't seem to hlp me. i disabled the service and I stopped it as well, but the problem still persists. I also tried to look into the registry according to the following link:  but the "Policies" section of my registry doesn't contain any folder called "Google". I use Windows 7 - 64 bit Home Premium Service pack 1.  Could anybody help? Thanks a ton! Can you please guide me best way to retrieve all active picklist values of all recordtypes of object. Can it be possible through API or any Apex Script.  I want something like below and i will write them in my file:  Obect Name, RecordTypeName, PicklistValues   Thanks What's the C++ way of parsing a string (given as char *) into an int? Robust and clear error handling is a plus (instead of ). Is Angular momentum conserved in Impure rolling hyperlink name with biblatex authoryear (biblatex 1.4b) I'm new here so I'm not sure if this is the right way to express my question:  I'm using the excellent biblatex package with the author-year style and want the links in my citations to include the name of the author as well as the parentheses. The answer presented at  did exactly what I wanted but it seems the solution is broken with the newest biblatex version 1.4b. Can anyone help me by adapting the code to the newest biblatex version? Regex pattern to choose data BETWEEN matching quotation marks Page title with substitution on views page I have a view page that requires a dynamic page title. It is a simple substitution of the label field.  If I use {{ label }} it works fine for the title displayed on the page, but it doesn't substitute the label for the actual page title (in meta)  I was able to fix this by using hook_views_post_render using the following code  // Set the route title. $route = \Drupal::routeMatch()-&gt;getCurrentRouteMatch()-&gt;getRouteObject(); $route-&gt;setDefault('_title', $title);  $view-&gt;setTitle($title);   However, the title only works if the page is not cached. For the cached pages, the page title is missing. This feels like a bug in drupal, but I am hoping that there is a simple way to get this done. unsigned int vs. size_t I notice that modern C and C++ code seems to use size_t instead of int/unsigned int pretty much everywhere - from parameters for C string functions to the STL.  I am curious as to the reason for this and the benefits it brings. Using modulo operation to draw graph Why does the image not appear? Clearly, if Wolverine bleeds on the ground, a new Wolverine doesn't reconstitute himself from the drop. Presumably, if somehow his arm could be severed, that wouldn't happen there, either. If his head were cut off...probably not either.  So it seems that there's a minimum amount of contiguous body mass Wolverine has to have from which he can heal.  Maybe limbs are the limit...are there examples of Wolverine regenerating a lost limb? If so, well, this question. If not, is there anything else in the canon to suggest an answer?