10-08-2019, 06:48 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.

…

A. GAMMA FUNCTION COMPUTATION … pg-1

TI-59 Method … pg-13

B. INCOMPLETE GAMMA FUNCTIONS COMPUTATION … pg-33

TI-59 {ML-09) … pg-33

TI-59 (MU-17) … pg-42

…

D. ERROR FUNCTION COMPUTATION … pg-60

TI-59 Method … pg-62

E. INVERSE ERROR FUNCTION COMPUTATION … pg-83

TI-59 Method … pg-83

H. ACCELERATED RANDOM TEST LEVEL COMPUTATION … pg-108

TI-59 (PL-17) … pg-114"

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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.

…

A. GAMMA FUNCTION COMPUTATION … pg-1

TI-59 Method … pg-13

B. INCOMPLETE GAMMA FUNCTIONS COMPUTATION … pg-33

TI-59 {ML-09) … pg-33

TI-59 (MU-17) … pg-42

…

D. ERROR FUNCTION COMPUTATION … pg-60

TI-59 Method … pg-62

E. INVERSE ERROR FUNCTION COMPUTATION … pg-83

TI-59 Method … pg-83

H. ACCELERATED RANDOM TEST LEVEL COMPUTATION … pg-108

TI-59 (PL-17) … pg-114"

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