Posts Tagged ‘conditional’
Thursday, October 29th, 2009
Overview of Symmetric Relations
Description
A detailed tutorial on the property of symmetric relations. Step by step tutorial including several examples of symmetric relations for reference.
Overview
A symmetric relation can be mathematically defined as for all x, y, and z belonging to A, if x R y and y R z, then x R z. In this statement, A is a set, and R is a relation of that set. An empty set is considered to be symmetric. Since a symmetric relation is defined by a conditional sentence, a proof for the symmetric property of relations would be written as a direct proof.
Tags: conditional, direct, discrete math, empty, equal, equivalence, married, odd, proof, property, r, relation, set, symmetric, x, y
Posted in Discrete Math | No Comments »
Thursday, October 29th, 2009
Overview of Transitive Relations
Description
A detailed tutorial on the property of transitive relations. Step by step tutorial including several examples of transitive relations for reference.
Overview
A transitive relation can be mathematically defined as for all x and y belonging to A, if x R y, then y R x. In this statement, A is a set, and R is a relation of that set. An empty set is considered to be transitive. Since a transitive relation is defined by a conditional sentence, a proof for the transitive property of relations would be written as a direct proof.
Tags: conditional, direct, discrete math, divides, empty, equal, equivalence, great, greater, implies, proof, property, r, relation, set, subset, transitive, x, y, z
Posted in Discrete Math | No Comments »
Thursday, September 24th, 2009
Identifying the Consequent
Description
A detailed tutorial on the consequent of a conditional. Step by step tutorial including several example problems of identifying the consequent of a conditional for reference.
Overview
A conditional is a statement where something implies something else – that is, the antecedent implies the consequent. In this article, we will be talking about the consequent. The consequent is the last part of the conditional. It is normally expressed as Q, and can either be a numerical expression or a logical expression. The consequent can also contain a second conditional, with its own antecedent and consequent.
Tags: antecedent, conditional, consequent, discrete math, identifying, implies, logical expression, Math, numercial expression, P, Q
Posted in Discrete Math | No Comments »
Thursday, September 24th, 2009
Identifying the Antecedent
Description
A detailed tutorial on the antecedent of a conditional. Step by step tutorial including several example problems of identifying the antecedent of a conditional for reference.
Overview
A conditional is a statement where something implies something else – that is, the antecedent implies the consequent. In this article, we will be talking about the antecedent. The antecedent is the first part of the conditional. It is normally expressed as P, and can either be a numerical expression or a logical expression. The antecedent can also contain a second conditional, with its own antecedent and consequent.
Tags: antecedent, conditional, consequent, discrete math, identifying, implies, logical expression, Math, numercial expression, P, Q
Posted in Discrete Math | No Comments »
Thursday, September 17th, 2009
Symbols and Translation: Conditional Implication
Description
A detailed tutorial on how to translate and symbolize conditional implication. Step by step tutorial including several examples of how to solve problems with conditional implication for reference.
OverviewThere are two types of implication, conditional and biconditional. This section focuses on conditional. Conditional implication is when a statement implies another statement by using the terms “only if”, “on the condition that”, and “implies”. There are two parts to an implication statement, the antecedent and the consequent. The antecedent implies the consequent. Implication is represented by a symbol that looks like =>. When the antecendent is true, and the consequent is false, then the statement is false. For all other conditions the statement is true.
Tags: condition, conditional, discrete math, false, if, if statement, implication, Math, true
Posted in Discrete Math | No Comments »
