Doug Burkett

ID:2668
First Name:Doug
Last Name:Burkett
Last Change:2025-09-21
Number of Files:4 (443rd most prolific)
Number of Downloads:443 (2,475th most downloaded)

Approximate Bernoulli Numbers 1.0   (details) 49/50 ENG   370 KB / 1-6 KB
Six User RPL programs are provided to calculate Bernoulli numbers in NUM APPROX mode: IBERN uses the built-in IBERNOULLI command, returning approximate results, Bn uses approximation methods for moderate speed and accuracy, BnT uses a table of all the representable Bernoulli numbers for the best speed and accuracy, BnTL and BnTL2 return lists of Bernoulli numbers, using BnT, and RnRAT finds the ratio of two consecutive non-zero Bernoulli numbers with an asymptotic relationship. Three additional programs illustrate the application of the Bernoulli numbers to evaluate a specific definite integral.
By Doug Burkett. 2025-09-21

Coding User RPL Math Functions 1.0   (details) 49/50 ENG   133 KB
This short paper compares program size and execution time for numeric mathematical functions using stack-based implementation, algebraic expressions, and local variables. The results show the code size and execution times for a sample expression coded with the different methods. The results apply to the 50g and similar models.
By Doug Burkett. 2024-06-02

Ellipse Perimeter Approximation by Ramanujan 1.0   (details) 49/50 ENG   179 KB / 1 KB
Approximates the perimeter of an ellipse using an approximation by Ramanujan or with the elliptic integral of the first kind. Program listings for the Ramanujan approximation for 12 other HP calculators are given. A program for the elliptic integral of the first kind using a Chebyshev approximation is also included. Complete PDF documentation included.
By Doug Burkett. 2024-12-15

PCON --- CODATA 2018 Physical Constants 1.0   (details) 49/50 ENG   809 KB / 30 KB
ScreenshotPCON provides all the physical constants (about 350) from the CODATA 2018 revision of suggested values. The constants are returned with tag identifiers and as unit objects depending on flag 61. Utility programs are provided: to retrieve a single constant object; to retrieve a constant's numerical value; to retrieve a constant's uncertainty; and to rebuild the library. PCON is distributed as a library with the User RPL source and comprehensive PDF documentation.
By Doug Burkett. 2023-05-07

Part of the HP Calculator Archive,
Copyright 1997-2025 Eric Rechlin.