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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

1318.0. "FYI: mathematical curves classification" by SMAUG::ABBASI () Fri Oct 26 1990 03:14

    I just got a copy of handbook of mathematical curves and surfaces,
    This books show the graph of almost any function that could be
    encoutered.
    
    I copy here his Curve Classess break down:
    
    Curve Class:
      RANDOM:
           fractal
           Gaussian
           Non-Gaussian
      DETERMINATE:
           Algebric:
                 Irrational
                 Rational:
                     Polynomial
                     non-polynomial
           Integral
           Transendental:
                Exponential
                Logarithmic
                Trignometric
           Piecewise Continuous
                Periodic
                Non-periodic
                Polygonal:
                     regular
                     irregular
                     fractal*
    
    Also Note that he lists fractal under class of Random and Determinate?
    do you think this is valid?
    
    /naser
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1318.1book nameSMAUG::ABBASIFri Oct 26 1990 03:164
    FYI, the book name is
          CRC handbook of mathematical Curves and surfaces
          by David H. Von Seggern (CRC press) 1990.
    I bought it from the library of sience book club. (around $35).
1318.2Valid.CADSYS::COOPERTopher CooperFri Oct 26 1990 13:1614
>    Also Note that he lists fractal under class of Random and Determinate?
>    do you think this is valid?

    Absolutely, since there are two kinds of fractals.  Each step of the
    process can be deterministic, e.g., the snowflake curve, or each step
    can be randomly determined, e.g., fractal landscapes, explosions, etc.
    used in films.  In practice, most of the "random" fractals are produced
    using pseudorandom rather than random sources and are therefore
    technically deterministic, but that is a nit -- and does not apply to
    "natural" random fractals such as *real* landscapes (OK, if you want to
    nit pick, they are not fractals but are only conveniently modeled by
    them since they have a finite scale below which they change character).

					    Topher