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:

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

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