GENERATING FUNCTIONS WITH INTEGRATORS,
Abstract
Generalized integration is a technique for generating explicit functions on an analog computer by solving the appropriate differential equations. The parametric technique is recommended for setting up the solutions. The summation and linear equipment theorems are shown to extend the use of linear equipment. Many examples illustrating the usefulness of these techniques are described, including generation of high degree oscillatory polynomials. A discussion on the use of multipliers contains a description of a technique for rational function generation. Track-and-store methods are also discussed. An important theorem concerning the use of linear equipment in this method is proved, with an example to show its effectiveness. The major advantage of these techniques is achievement in some cases of great accuracy with minimum equipment. The major disadvantage is that, with time, errors may sometimes increase and may not be bounded.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1967
- Accession Number
- AD0652729
Entities
People
- Arthur Hausner
Organizations
- Harry Diamond Laboratories