its work. But you need to do that before you can really be very expressive and really play beautiful music. You have to go through that phase of practice and drill. – Terry Tao Web http://hk.mathphy.google /puremath.htm Blog http://hb / How to Become a Pure Mathematician (or Sta...
Prof. Romer wrote an excellent article, Jupyter, Mathematica, and the Future of the Research Paper, about his experience with open-source software. Moreover, since Python is available at no cost, a much broader audience can use the code you develop. As you’ll see a little later on in ...
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Not a function: “one to many“. In other words, let’s say you had one x-value that maps to many y-values. For example, — in coordinate notation — (2,1) and (2,10). If the first number (the x-value) repeats, then you do not have a function. To put that another way, ...
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4Because of selection rules, the number of diagrams is vastly smaller for correlators near extremality, which explains why an explicit calculation is possible in those cases. –2– worse, the final answer takes the completely unintuitive form of a sum of D-functions. It takes some work to ...
sum, plusadded to comparatives ("greater than", etc) Subtraction: decreased byminus, lessdifference between/ofless than, fewer thanleft, left over, aftersave (old-fashioned term)comparatives ("smaller than", etc) Multiplication: oftimes, multiplied byproduct ofincreased/decreased by a factor ...
sum of squared Gaussian data points is known to be distributed according to a so calledChi-Square distribution. A Chi-Square distribution is defined in terms of ‘degrees of freedom’, which represent the number of unknowns. In our case there are two unknowns, and therefore two degrees of ...
An arrangement of axis-parallel parabolas is used in dynamic computational geometry, since it shows the transition of the list of pairs of points among a set of linearly moving 266 Hisao Tamaki and Takeshi Tokuyama Fig. 1. Arrangement of parabolas. points sorted with respect to their L2 ...
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