This is the documentation for the Role Ontology. All instances of the Role class are listed here. Roles can be applied to properties or phenomena (within the participant construct) to denote the roles they play in different scenarios.

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Documentation last generated on 2019-04-29 13:06 EDT.

#### coefficient

This instance has a related Wikipedia page. Short extract:
In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression. In the latter case, the variables appearing in the coefficients are often called parameters, and must be clearly distinguished from the other variables.

This instance is a narrower concept derived from term.

This role can be applied to instances of the Quantitative Property class.

#### constant

This instance has a related Wikipedia page. Short extract:
A mathematical constant is a number that is "significantly interesting in some way". Constants arise in many areas of mathematics, with constants such as e and π occurring in such diverse contexts as geometry, number theory, and calculus.

This role can be applied to instances of the Quantitative Property class.

#### degree

This instance is a narrower concept derived from dimension.

This role can be applied to instances of the Quantitative Property class.

#### denominator

This role can be applied to instances of the Participant class.

#### dimension

This instance has a related Wikipedia page. Short extract:
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it. Thus a line has a dimension of one because only one coordinate is needed to specify a point on it – for example, the point at 5 on a number line.

This role can be applied to instances of the Quantitative Property class.

#### exchange

This role can be applied to instances of the Participant class.

#### exponent

This instance has a related Wikipedia page. Short extract:
Exponentiation is a mathematical operation, written as bn, involving two numbers, the base b and the exponent or power n. When n is a positive integer, exponentiation corresponds to repeated multiplication of the base: that is, bn is the product of multiplying n bases: b n = b × ⋯ × b ⏟ n times .

This instance is a narrower concept derived from term.

This role can be applied to instances of the Quantitative Property class.

#### factor

This instance has a related Wikipedia page. Short extract:
Factor, a Latin word meaning "who/which acts", may refer to:

This instance is a narrower concept derived from coefficient.

This role can be applied to instances of the Quantitative Property class.

#### first

This role can be applied to instances of the Participant class.

#### in

This role can be applied to instances of the Participant class.

#### main

This role can be applied to instances of the Participant class.

#### medium

This role can be applied to instances of the Participant class.

#### numerator

This role can be applied to instances of the Participant class.

#### order

This instance has a related Wikipedia page. Short extract:
Order in mathematics may refer to:

This instance is a narrower concept derived from dimension.

This role can be applied to instances of the Quantitative Property class.

#### out

This role can be applied to instances of the Participant class.

#### parameter

This instance has a related Wikipedia page. Short extract:
A parameter (from the Ancient Greek παρά, para: "beside", "subsidiary"; and μέτρον, metron: "measure"), generally, is any characteristic that can help in defining or classifying a particular system (meaning an event, project, object, situation, etc.). That is, a parameter is an element of a system that is useful, or critical, when identifying the system, or when evaluating its performance, status, condition, etc.

This role can be applied to instances of the Quantitative Property class.

#### second

This role can be applied to instances of the Participant class.

#### sink

This role can be applied to instances of the Participant class.

#### source

This role can be applied to instances of the Participant class.

#### term

This instance has a related Wikipedia page. Short extract:
In analogy to natural language, where a noun phrase refers to an object and a whole sentence refers to a fact, in mathematical logic, a term denotes a mathematical object and a formula denotes a mathematical fact. In particular, terms appear as components of a formula.

This role can be applied to instances of the Quantitative Property class.