I saw a science fiction anthology series episode in which when a man manipulated by a doctor, I think a psychiatrist, slept and dreamed he would wake up to a world affected by what he had dreamed.  When I saw it, I looked it up and found that it was based on a book, and that a movie had also been made based on it.  I cannot remember the names of any of them.
First, a word about the format - I don't know whether this was a movie or a TV series, b/c I saw it aired in pieces on PBS back in the 1980s. I don't even recall if it was originally voiced in english, dubbed over, or subtitled. I'll just call it a movie for now.  The movie seemed to be set in Europe in what looked like the 1960's or 70's, where almost all the people were gone. The protagonist was probably a 20-something man, who routinely visited a psychiatrist. I think the protagonist also had a girlfriend, but most of the dialogs seemed to be between the man and the doctor.   It was kind of a mystery where all the people had gone, and I think the man was nominally seeing the doctor to cope with the stress of it all, or had amnesia and suspected he knew The Truth. However, it turns out that the doctor discovers that the man is somehow the key to the reality that the characters share, and during hypnosis sessions, discovers he can manipulate the man and thereby reality. To make it easier for himself, the doctor gives the man a code word to return the man to a hypnotic trance on command. The code word, I am positive, was 'Antwerp'.  I don't think I ever saw the end of this, but the 'truth' might have been that World War III was fought with neutron bombs, and that the man was actually just dreaming everything as he wandered around the city, dying. Or not. It would be nice to know how it turned out, but I don't even have the name of the show.
How can I achieve the correct garden tap orientation when threading it in? I'm installing an external tap using a wall plate like this one:    And a tap like this one:    This might be a stupid question, but if I screw the tap into the wall plate it will end up at a certain angle. I can install the wall plate with that angle and the tap will end up with the correct orientation (i.e. pointing down). But what if I want to put another tap in later that has its thread cut slightly differently? How do I prevent it ending up upside-down or whatever? Are all the threads cut exactly the same in these taps?  This seems like a stupid design. leaflet geojson coordinate problem I just started to play with leflet/geojson a little. But my coordinates are not rendered properly and I have no clue what is going on.  My coordinates are: 52.23943, 4.97599. They work correct with the setView function.  var map = L.map('leaflet_map').setView([52.23943, 4.97599], 15);   But using a geojasonFeature they are, hmmm, 'projected', somewhere east of Somalia.  var geojsonFeature = {             "type": "Feature",             "properties": {             "name": "Coors Field",             "amenity": "Baseball Stadium",             "popupContent": "This is where the Rockies play!"             },             "geometry": {                 "type": "Point",                 "coordinates": [52.23943, 4.97599]             }         };         var myLayer = L.geoJson().addTo(map);         myLayer.addData(geojsonFeature).bindPopup("I am a gjson point.");   Anyone who knows what is happening here?  EDIT  Out of pure curiosity I changed the coordinates around [4.976143930893815,52.23925499011473] and the point appears at its correct location. A known bug!? I have just started learning Japanese Mahjong and I am a bit lost as to why this hand failed.  I did several pons and chis over the course of a hand, having a total of three open melds (one set and two sequences).  Apart from these I had an incomplete bamboo sequence of II and III as well as a pair of dragons, therefore I was on a single wait for I or IV bamboo stick tile. When the IV tile appeared in one of the discards of other players, I was given a choice to do another chi and declare another open meld, but I couldn't win with a ron. Why was that?  Am I wrong that winning by ron guarantees a single needed yaku to win a hand, just like Closed Tsumo does?  After declaring the chi I was offered with, my hand was left with a single pair of tiles, one of which I had to discard.  Eventually the round finished with a draw.  Why couldn't I win this hand with a ron on the IV bamboo tile, and why was I given only the choice of chi instead? Could not find class How to run the Ubuntu ISO live image from Windows without USB or DVD?  This is a self answered question. Assessing approximate distribution of data based on a histogram Suppose I want to see whether my data is exponential based on a histogram (i.e. skewed to the right).   Depending on how I group or bin the data, I can get wildly different histograms.   One set of histograms will make is seem that the data is exponential. Another set will make it seem that data are not exponential. How do I make determining distributions from histograms well defined? Are used Schengen/UK visas acceptable for Turkish e-visa Question list on profile page not vertically aligned Why did sampling boost the performance of my model? I have an imbalanced dataset with 88 positive samples and 128575 negative samples. I was reluctant to over/undersample the data since it's a biological dataset and I didn't want to introduce synthetic data. I built a Random Forest Classifier with this original dataset. I got an F1 score of 0 for the positive class. Zero precision. Zero recall. I cross-checked the predictions and test data. The model predicts some positives none of which are actually positive. Worst performance.  So, I tried to oversample the positive class. I upsampled the positives to 1000 samples. To my surprise, the F1 score for this dataset was 0.97, for the positive class. Then I tried lesser samples. I was able to achieve an F1 score of 0.83 with 200 positive samples, which is just 2.25 times of the original positive samples.  I would like to know why this occurs. For 88 samples, F1 score is 0.00 (rounded off to two digits). For 200 samples it's 0.83. There is no data leakage. All the features are engineered. I used imbalanced-learn module for oversampling. Can someone explain why is this difference in performance? Are there published predictions that hydrogen could remain metallic at ambient pressure? Below the question  there is a  that directed me to the BBC News summary . In their attempt to balance the skepticism of this particular reported observation with the potential implications of producing metallic hydrogen in a laboratory, the BBC included some far-reaching possibilities:  If that is true - and it is a controversial claim - it fulfills a more than 80-year quest to produce what many have said would be a wonder material. Theory suggests metallic hydrogen could be used to make zero-resistance electrical wiring and super-powerful rocket fuel, among many applications.  At the end of the article:  &quot;The scepticism here is probably a good thing, in that it will drive many groups towards attempting to reproduce this experiment. This publication will certainly incite the field. Again, if it holds up, this is an exciting result. I think in this case time will tell,&quot; he told BBC News.  ...referring to Marcus Knudson from Sandia National Laboratories.  And Jeffrey McMahon from Washington State University concurred: &quot;With respect to the tiny sample amount: Such experiments are performed in small diamond anvil cells. One challenge would be to make a larger quantity (at once); another, perhaps bigger challenge is to recover even the small sample (ie, remove it from the extreme pressures that it is under in the diamond anvil cell). &quot;Whether the latter is possible is an important open question.&quot;  Question: Are there published, peer-reviewed predictions that hydrogen could remain metallic at ambient pressure? A link or reference would be appreciated. If it's still in pre-print form (AeXiv) that's OK too. If it's possible, a little help understanding the prediction would be great as well: I know there are many predicted crystalline forms of water ice at elevated pressures and/or reduced temperatures, and many or most of these have been observed, but I think most of them revert once pressure is reduced to ambient. Also the  comes to mind. If there is such a prediction of the possibility of hydrogen remaining metallic at ambient, is there an analogous example of this with a material I'm more familliar with, or is this something quite new? I've been working a bash script to automate the process of opening and closing an LVM over LUKS external hard drive. However I continue to receive errors on line 28:   $(vgchange -a n ; cryptsetup luksClose vol)   The error I receive:  $ sudo ./encryption.sh -l Locking System.............. ./encryption.sh: line 28: 0: command not found System Locked!   Here is the rest of the code for reference:  if [ $1 = -u ] ; then     $(cryptsetup luksOpen /dev/sdb2 vol)     echo "Unlocking.................." | pv -qL 10     $(mount /dev/mapper/vol-lvroot /mnt ; mount /dev/mapper/vol-lvvar /mnt/var ; mount /dev/mapper/vol-lvhome /mnt/home ; mount /dev/sdb1 /mnt/boot)     echo "System Mounted!" | pv -qL 10 #   exit 0 fi  if [ $1 = -l ] ; then     $(umount /mnt/var ; umount /mnt/home ; umount /mnt/boot ; umount /mnt/)     echo "Locking System.............." | pv -qL 10     $(vgchange -a n ; cryptsetup luksClose vol)     echo "System Locked!" | pv -qL 10     exit 0 fi   Other information:   I receive no apparent error when running the command in question by itself interactively. I'm new to writing bash, so any recommendations and constructive criticism is appreciated. The process appears to complete successfully, but I don't understand the error or how to make them go away. Upon further research when running the troubled code alone in interactive mode it does provide output after being executed.   This is given after posting the troubled code interactively.   0 logical volume(s) in volume group "vol" now active Is there any way to debug bash script without using echo and logging?  I'm talking about using breakpoints and stuff like that. I am trying to calculate the following limit without Stirling's relation.  \begin{equation} \lim_{n \to \infty} \dfrac{n!}{n^n} \end{equation} I tried every trick I know but nothing works. Thank you very much. Can I pay two different costs with the same payment? Say I have a Zombie token, , and  on the battlefield. Can I sacrifice the Zombie token to activate both the Altar's and Seer's abilities?  Similarly, if I have one card in hand, and  and  on the battlefield can I discard the one card to both of their abilities?  If I have a  with 3 charge counters can I activate both of its abilities by tapping it to add a counter, and tapping it to remove 3 counters and destroy a permanent without untapping it in between? Adding 3 electron spins I've learned how to add two 1/2-spins, which you can do with C-G-coefficients. There are 4 states (one singlet, three triplet states). States are symmetric or antisymmetric and the quantum numbers needed are total spin and total z-component.  But how do you add three 1/2-spins? It should yield 8 different eigenstates. Which quantum numbers do you need to characterise the 8 states?  It is not as easy as using C-G-coefficients and the usual quantum numbers as for the total momentum the doubly degenerate 1/2 state and quadruple degenerate 3/2 state can describe only 6 or the 8 states. You will need an additional quantum number for the degeneracy.  So how do you get the result?  (I actually tried out myself with a large 8x8 matrix. The total spin 1/2 is each doubly degenerate. For the additional quantum number I chose the cyclic permutation. Spin 1/2 states are neither symmetric nor antisymmetric. But what is the usual way to derive this?)  EDIT: For reference I'm adding my results for up to 4 spins from some time ago:   If you recall the basics of quantum mechanics with matrices it is actually a straightforward matrix diagonalization and requires no specialized knowledge. However, you still need to find an additional operator which breaks degeneracy. I chose the cyclic permutation, which seems to do the job. Please refer to the below answer, since I haven't checked all details. deploying and retrieving Address settings (State & Country picklists) Is there a non written rule to which person to use in the PhD thesis, 5 years of using "We" in the papers have brought me to the innate necessity to do it every time I describe something.  Recently, though, one of my lab-mates told me that I should use I, since it is your work, if the thesis were co-written, then it would be a different story.  Is there any standard in your universities, or do you have any preferred practice. On the one side, the USA is just one country. Logic says it should be, then, singular, just like the United Kingdom is. Example:     The USA owns this domain.   On the other side, if I however expand "the USA" to "the United States of America", I'd tend towards using plural &mdash; the noun the verb agrees with, "States," is definitely plural. Example:     The United States of America own this domain. → The USA own this domain.   What form should I prefer? How do open files behave on linux systems? Does $A$ a UFD imply that  $A[T]$ is also a UFD? I'm trying to prove that $A$ a UFD implies that $A[T]$ is a UFD.   The only thing I am sure I could try to use is Gauss's lemma.  Also, how can we deduce that the polynomial rings $\mathbb{Z}[x_1,\ldots,x_n]$ and $k[x_1,\ldots,x_n]$ are UFDs?