Posts Tagged ‘undefined’
Tuesday, December 29th, 2009
How to Use Axioms and Postulates in Proofs
Description
A detailed tutorial on axioms and postulates. Step by step tutorial including several examples of axioms and postulates for reference.
Overview
Axioms, sometimes called postulates, are parts of a proof. When you write a proof, there are several important parts: the given information and statements explaining the given information, the proof itself along with examples, and the conclusion. Axioms and postulates are the first set of statements that contain the given information. These statements are all assumed to be true. An important part of axioms and postulates are undefined terms, from which new concepts can be assumed, and new theorems can be deduced.
Tags: axioms, conclusion, deduced, discrete math, examples, given, information, postulates, proofs, statements, terms, theorems, undefined
Posted in Discrete Math | No Comments »
Tuesday, November 10th, 2009
Identifying Zero Polynomials
Description
A detailed tutorial on identifying zero polynomials. Step by step tutorial including several examples of identifying zero polynomials for reference.
Overview
A zero polynomial is the additive identity of an additive group of polynomials. So this means it is not a unique polynomial, even though it may seem like it. In order to identify a zero polynomial, you need to be aware of the two properties that zero polynomials possess. The first one is that all coefficients of a zero polynomial are zero, and add up to zero. The second is that a zero polynomial doesn’t have a degree – it is an undefined degree. Typically people will write this as a degree of -1, or more common, of negative infinity.
Tags: addition, additive, algebra, coefficient, degree, group, identity, infinity, negative, one, polynomial, properties, property, undefined, zero
Posted in Algebra | No Comments »
Friday, October 30th, 2009
How to Determine the Point of Discontinuity
Description
A detailed tutorial on determining the point of discontinuity. Step by step tutorial including several examples of how to determine the point of discontinuity for reference.
Overview
A point of discontinuity is where the graph of a function is discontinuous – this means the graph has a breaking point in it, it break off for a while and starts again somewhere else, or there is a small open circle somewhere on the graph, which would be an actual point of discontinuity. In mathematical terms, the point of discontinuity is the point at which the graph of the function is undefined. Simply look a value of x that will make the function undefined, and that is your point of discontinuity. This is easiest to determine when your function is a fraction.
Tags: a, algebra, break, discontinuity, discontinuous, fraction, function, graph, point, start, stop, undefined, x
Posted in Algebra | No Comments »
Friday, October 9th, 2009
Introduction to Zero and Undefined Slopes
Description
Detailed tutorial on undefined and zero slopes. Step by step tutorial including several examples of zero and undefined slopes for reference.
Overview
Zero and undefined slopes are both slopes that do have a definite value to them. They represent very uinigue graphs and lines. A zero slope is a slope of zero over anything – meaning it has a run, but no rise. It is a zero slope because zero divided by anything is simply zero. Zero slopes form horizontal lines. An undefined slope is a slope of anything over zero – meaning it has a rise, but no run. It is an undefined slope because nothing can be divided by zero. Undefined slopes form vertical lines.
Tags: arithmetic, graph, horizontal, line, Math, rise, run, slope, undefined, value, vertical, zero
Posted in Arithmetic | No Comments »
