10-08-2019, 06:27 PM

An extract from Computation Methods, General Electric Cimpany (Aerospace Electronic Systems Division), Naval Electronic Systems Command (Navy Contract N00019-78-C-0407), MAR 1980, 122 pgs.

"COMPUTATION METHODS

BASIC FUNCTIONS

Introduction

The computation methods described in this section are for use in fatigue analyses. The functions to be computed are the Gamma Function, the two Incomplete Gamma Functions, an Error Function and its Inverse, a Probability of Failure Function, and a transcendental accelerated test level function.

These methods are intended to be user oriented. The user is given a choice of methods. Tables and interpolation methods are included for those who prefer to use tables. Techniques are also included for use with calculators, with the modern TI-59, HP-67, HP-34C and HP-41C Programmable Calculators and with large computers (i.e. Basic Language). Both numerical integration and closed form equation methods are given. Examples using each method are worked out. Computer program listings are also shown.

It should be noted that the same programs can be used for both the HP-67 and HP-41C programmable calculators. Only the HP-67 is referred to in the listings for simplicity.

…

A. GAMMA FUNCTION COMPUTATION … pg-1

HP-34C Method … pg-19

B. INCOMPLETE GAMMA FUNCTIONS COMPUTATION … pg-20

HP-34C Method … pg-46

…

D. ERROR FUNCTION COMPUTATION … pg-60

HP-34C Method … pg-65

E. INVERSE ERROR FUNCTION COMPUTATION … pg-83

HP-34C Method … pg-88

…

G. HP-34C PROGRAMS … pg-105

H. ACCELERATED RANDOM TEST LEVEL COMPUTATION … pg-108

HP-34C (PL-15) … pg-118"

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"COMPUTATION METHODS

BASIC FUNCTIONS

Introduction

The computation methods described in this section are for use in fatigue analyses. The functions to be computed are the Gamma Function, the two Incomplete Gamma Functions, an Error Function and its Inverse, a Probability of Failure Function, and a transcendental accelerated test level function.

These methods are intended to be user oriented. The user is given a choice of methods. Tables and interpolation methods are included for those who prefer to use tables. Techniques are also included for use with calculators, with the modern TI-59, HP-67, HP-34C and HP-41C Programmable Calculators and with large computers (i.e. Basic Language). Both numerical integration and closed form equation methods are given. Examples using each method are worked out. Computer program listings are also shown.

It should be noted that the same programs can be used for both the HP-67 and HP-41C programmable calculators. Only the HP-67 is referred to in the listings for simplicity.

…

A. GAMMA FUNCTION COMPUTATION … pg-1

HP-34C Method … pg-19

B. INCOMPLETE GAMMA FUNCTIONS COMPUTATION … pg-20

HP-34C Method … pg-46

…

D. ERROR FUNCTION COMPUTATION … pg-60

HP-34C Method … pg-65

E. INVERSE ERROR FUNCTION COMPUTATION … pg-83

HP-34C Method … pg-88

…

G. HP-34C PROGRAMS … pg-105

H. ACCELERATED RANDOM TEST LEVEL COMPUTATION … pg-108

HP-34C (PL-15) … pg-118"

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