3.6. The relationship between temperature and maximum operating frequency R depends on various factors for a given electronic circuit. Let T be a temperature fuzzy set (in degrees Fahrenheit) and F represent a frequency fuzzy set (in megahertz) on the following universes of discourse: T = {-100, -50, 0, 50, 100} and F= {8, 16, 25, 33}. Suppose a Cartesian product between T and F is formed, which results in the following relation: -100 -50 0 50 100 8 0.2 0.5 0.7 1 0.9 16 0.3 0.5 0.7 1 0.8 R = 25 0.4 0.6 0.8 0.9 0.4 33 0.9 0.8 0.6 0.4 The reliability of the electronic circuit is related to the maximum operating tem- perature. Such a relation S can be expressed as a Cartesian product between the reliability index, M {1, 2, 4, 8, 16} (in dimensionless units), and the temperature, as in the following example: 1 2 0.8 0.6 0.3 0.1 4 8 16 -100 r 1 -50| 0.7 0 0.5 0.6 50 0.3 0.4 0.6 100 L0.9 0.3 0.5 0.7 1 0.7 0.5 0.4 S = 1 0.8 0.8 1 0.9 1 Composition can be performed on any two or more relations with compatible row-column consistency. To find a relationship between frequency and the reli- ability index, use (a) max-min composition

3.6. The relationship between temperature and maximum operating frequency R depends on various factors for a given electronic circuit. Let T be a temperature fuzzy set (in degrees Fahrenheit) and F represent a frequency fuzzy set (in megahertz) on the following universes of discourse: T = {-100, -50, 0, 50, 100} and F= {8, 16, 25, 33}. Suppose a Cartesian product between T and F is formed, which results in the following relation: -100 -50 0 50 100 8 0.2 0.5 0.7 1 0.9 16 0.3 0.5 0.7 1 0.8 R = 25 0.4 0.6 0.8 0.9 0.4 33 0.9 0.8 0.6 0.4 The reliability of the electronic circuit is related to the maximum operating tem- perature. Such a relation S can be expressed as a Cartesian product between the reliability index, M {1, 2, 4, 8, 16} (in dimensionless units), and the temperature, as in the following example: 1 2 0.8 0.6 0.3 0.1 4 8 16 -100 r 1 -50| 0.7 0 0.5 0.6 50 0.3 0.4 0.6 100 L0.9 0.3 0.5 0.7 1 0.7 0.5 0.4 S = 1 0.8 0.8 1 0.9 1 Composition can be performed on any two or more relations with compatible row-column consistency. To find a relationship between frequency and the reli- ability index, use (a) max-min composition

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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