SED navigation bar go to SED home page go to Dataplot home page go to NIST home page SED Home Page SED Staff SED Projects SED Products and Publications Search SED Pages
Dataplot Vol 2 Vol 1

EULER NUMBERS

Name:
    EULER NUMBERS (LET)
Type:
    Let Subcommand
Purpose:
    Generate a sequence of Euler numbers.
Description:
    For a description of Euler numbers and polynomials, enter the command:

      HELP EN

    EN is a library function for computing Euler numbers and polynomials. The EULER NUMBERS command can be used to generate a sequence of Euler numbers.

    The Euler numbers overflow quickly. For single precision Dataplot, the overflow typically starts occurring at N=40. This may vary slightly depending on the platform.

Syntax:
    LET <y> = EULER NUMBERS FOR I = <start> <inc> <stop>
    where <start> is the starting row for the Euler numbers;
                <inc> is the increment for the Euler numbers;
                <stop> is the stopping row for the Euler numbers;
                <y> is a variable where the Euler numbers are saved.

    Typically <start> and <inc> are 1 and <stop> is set to the number of Euler numbers to generate. If <start> and <inc> are not 1, then <y> will still contain <stop> elements, but the empty rows will be set to 0.

Examples:
    LET Y = EULER NUMBERS FOR I = 1 1 30
Default:
    None
Synonyms:
    None
Related Commands:
    BINCDF = Compute the binomial cumulative distribution function.
    BINPDF = Compute the binomial probability mass function.
    BINPPF = Compute the binomial percent point function.
    BINOMIAL = Compute the binomial coefficients.
    EN = Compute Euler number or polynomial.
Reference:
    "Computation of Special Functions", Shanjie Zhang and Jianming Jin, John Wiley and Sons, 1996, chapter 1.
Applications:
    Probability
Implementation Date:
    1997/12
Program:
    LET Y = EULER NUMBERS FOR I = 1 1 30
    PRINT Y

    Dataplot generated the following output: 

     VARIABLES--Y       

   0.1000000E+01
   0.0000000E+00
  -0.1000000E+01
   0.0000000E+00
   0.5000000E+01
   0.0000000E+00
  -0.6100000E+02
   0.0000000E+00
   0.1385000E+04
   0.0000000E+00
  -0.5052100E+05
   0.0000000E+00
   0.2702765E+07
   0.0000000E+00
  -0.1993610E+09
   0.0000000E+00
   0.1939151E+11
   0.0000000E+00
  -0.2404880E+13
   0.0000000E+00
   0.3703712E+15
   0.0000000E+00
  -0.6934887E+17
   0.0000000E+00
   0.1551453E+20
   0.0000000E+00
  -0.4087072E+22
   0.0000000E+00
   0.1252260E+25
   0.0000000E+00

Date created: 6/5/2001
Last updated: 4/4/2001
Please email comments on this WWW page to alan.heckert@nist.gov.