Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Proposition:

A proposition is a statement that is either true or false.

Negation:

Let p be a proposition. The negation of p, denoted ¬p, is a proposition that is true when p is false, and false when p is true.

Conjunction:

Let p and q be propositions. The conjunction of p and q, denoted by p  q, is a proposition that is true when both p and q are true, and false in any other condition.

Disjunction:

Let p and q be propositions. The disjunction of p and q, denoted by p  q, is a proposition that is true when at least one of p or q is true, and false if both p and q are false.

Implication:

Let p and q be propositions. The proposition p  q is false if p  (¬q) is true, and is true
otherwise. The operator  is called the conditional operator, or implicative operator.

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