Posts Tagged ‘implies’
Thursday, December 10th, 2009
Overview of the Bounded Monotone Sequence Theorem
Description
A detailed tutorial on the bounded monotone sequence theorem. Step by step tutorial including several examples of the bounded monotone sequence theorem for reference.
Overview
The bounded monotone sequence theorem actually has several parts to it. First, you need to find out if something is bounded above or bounded below. The sequence is bounded above if there exists a real number B such that x sub n is less than or equal to B. The sequence is bounded below if there exists a real number B such that x sub n is greater than or equal to B. If something is a bounded sequence, that means it is bounded both above and below. Absolute values are also very important in determining the bounded sequence. The bounded monotone sequence theorem states that for every bounded monotone sequence x, there is a real number L such that x sub n implies L.
Tags: above, absolute, algebra, below, bounded, boundedness, equal to, greater than, implies, less than, monotone, number, real, sequence, theorem, value
Posted in Algebra | 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 »
