In the following question, the domain of discourse is a set of male patients in a nical study. Define the following predicates: • P(r): was given the placebo • D(z): was given the medication • M(z): r had migraines

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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This is dealing with discrete mathematics.
PROBLEM 1
In the following question, the domain of discourse is a set of male patients in a
elinical study. Define the following predicates:
• P(z) : was given the placebo
• D(z): r was given the nedication
• M(z): r had migraines
Translate each of the following statements into a logical expression. Then negate
the expression by adding a negation operation to the beginning of the expression.
Apply De Morgan's law until each negation operation applies directly to a predicate
and then translate the logical expression back into English.
Sample question: Sume palsent was given the placebo and the medication.
• (P(r) A D[x}}
• Negation:ar (P(z) A D(z))
• Applying De Morgan's law: Vr (-P(r) v -D(r))
English: Every patient was cither not gieen the placebo or not given the
medication (or both).
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Transcribed Image Text:PROBLEM 1 In the following question, the domain of discourse is a set of male patients in a elinical study. Define the following predicates: • P(z) : was given the placebo • D(z): r was given the nedication • M(z): r had migraines Translate each of the following statements into a logical expression. Then negate the expression by adding a negation operation to the beginning of the expression. Apply De Morgan's law until each negation operation applies directly to a predicate and then translate the logical expression back into English. Sample question: Sume palsent was given the placebo and the medication. • (P(r) A D[x}} • Negation:ar (P(z) A D(z)) • Applying De Morgan's law: Vr (-P(r) v -D(r)) English: Every patient was cither not gieen the placebo or not given the medication (or both). Pages 2 to 3 of 7 71% LT en US UTF-8 Ready Automatic 1.
label
tiny
◆|3of7 中 咖
(a) Every patient was given the medication or the placebo or both.
(b) Every patient who took the placebo had migraines. (Hint: you will need to
apply the conditional identity, p = pVg-)
(c) There is a patient who had migraimes and was given the placebo.
Transcribed Image Text:label tiny ◆|3of7 中 咖 (a) Every patient was given the medication or the placebo or both. (b) Every patient who took the placebo had migraines. (Hint: you will need to apply the conditional identity, p = pVg-) (c) There is a patient who had migraimes and was given the placebo.
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