Computer input/output of mathematical expressions

Author(s):  
William A. Martin
2019 ◽  
Vol 66 (3) ◽  
pp. 267-308 ◽  
Author(s):  
Argyrios D. Kolokontes ◽  
Achilleas Kontogeorgos ◽  
Efstratios Loizou ◽  
Fotios Chatzitheodoridis

Input-Output literature can be characterized as complicated and chaotic. The complications concern the nomenclature of concepts for the derived indices from the multipliers’ models, their mathematical expressions and computable applications. The terminologies’ inconsistencies often end up to a deviation between the description for these indices and their actual computation, or/and to a misunderstanding as for their usefulness and outcomes. The aim of the paper is to help the readers to face the weaknesses in the literature. In this way, the paper provide an overview with a critical look to the constructed multipliers’ matrices and their derived indicators from the I-O models, and elaborate the causes for the scrutinized confusions. The paper proposes both terminological and computational adjustments and differentiated approaches for the models and their indices, in order to ameliorate their capabilities and to exploit their peculiarities for the developmental patterns. Alternative interpretative ways and applicable expansions are suggested.


1992 ◽  
Vol 36 (14) ◽  
pp. 1051-1055 ◽  
Author(s):  
Robert M. Schumacher

The telephone is the most ubiquitous computer input/output device with over 200 million units in the U.S. Thousands of applications – from airline reservations to zoo schedules – employ audio output and touch-tone input to control the flow and content of information. Because of the limited information capacity of the telephone, designing useful and usable phone-based interfaces presents a strong challenge to the designer. This paper will focus on the strengths and weaknesses of phone-based interfaces, present design guidelines, and discuss future directions.


1994 ◽  
Vol 116 (3) ◽  
pp. 862-866 ◽  
Author(s):  
Jen-Yu Liu ◽  
Hong-Sen Yan

This paper presents mathematical expressions for the surface geometry of variable pitch cylindrical cams with four conical meshing elements based on the theory of conjugate surfaces. The unit normal of the element is derived, with given surface geometry of the meshing element, by differential geometry. The contact lines of the conjugate surface are defined according to the equation of meshing and the specified input-output relation. By the coordinate transformation of contact lines, we have the complete profile of the variable pitch cylindrical cam. The results of this work are instrumental in computer-aided manufacturing of variable pitch cylindrical cams for industrial applications.


2015 ◽  
Vol 58 (1) ◽  
pp. 1-6 ◽  
Author(s):  
Edurne Larraza-Mendiluze ◽  
Nestor Garay-Vitoria
Keyword(s):  

1982 ◽  
Author(s):  
J. D. Crow ◽  
L. D. Comerford ◽  
M. Johnson ◽  
R. T. Lynch, Jr. ◽  
D. L. Rogers ◽  
...  

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