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

TRAN

Name:
    TRAN (LET)
Type:
    Library Function
Purpose:
    Compute the transport integral.
Description:
    The transport integral of order n is defined as:

      J(x,n) = INTEGRAL[t**n*EXP(t)/((exp(t) - 1)**2)dt] x >= 0 and where the integral is defined from 0 to x

    where n, a non-negative integer, is the order of the transport integral. Dataplot supports values of n from 2 to 9.

    Dataplot computes this function using ACM Algorithm 757 (see Reference: below).

Syntax:
    LET <y> = TRAN(<x>,<ord>)             <SUBSET/EXCEPT/FOR qualification>
    where <x> is a non-negative number, variable or parameter;
                  <ord> is a non-negative integer number, parameter, or variable in the range 2 to 9;
                  <y> is a variable or a parameter (depending on what <x> and <ord> are) where the computed transport integral values are stored;
    and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
    LET A = TRAN(2.3,2)
    LET A = TRAN(X,A1)
    LET X2 = TRAN(X1,4) FOR X1 = 0.1 0.1 3.0
Default:
    None
Synonyms:
    None
Related Commands:
    ABRAM = Compute the Abramowitz function.
    CLAUSN = Compute the Clausen integral.
    DEBYE = Compute the Debye function.
    EXP3 = Compute the cubic exponential integral.
    GOODST = Compute the Goodwin and Stanton integral.
    LOBACH = Compute the Lobachevski integral.
    SYNCH1 = Compute the synchrotron radiation function.
    SYNCH2 = Compute the synchrotron radiation function.
    STROM = Compute the Stromgren integral.
Reference:
    "ACM Transactions of Mathematical Software", Allan MacLead, Vol. 22, No. 3, September, 1996, pp. 288-301.
Applications:
    Special Functions
Implementation Date:
    1999/6
Program:
    MULTIPLOT 2 2
    MULTIPLOT CORNER COORDINATES 5 5 95 95
    TITLE ORDER 2
    PLOT TRAN(X,2) FOR X = 0 0.01 10
    TITLE ORDER 3
    PLOT TRAN(X,3) FOR X = 0 0.01 10
    TITLE ORDER 4
    PLOT TRAN(X,4) FOR X = 0 0.01 10
    TITLE ORDER 5
    PLOT TRAN(X,5) FOR X = 0 0.01 10
    END OF MULTIPLOT
    MOVE 50 97
    JUSTIFICATION CENTER
    TEXT TRANSPORT INTEGRALS

    plot generated by sample program

Date created: 6/5/2001
Last updated: 4/4/2003
Please email comments on this WWW page to alan.heckert@nist.gov.