Definition:Mathematical Model
Jump to navigation
Jump to search
Definition
A mathematical model is an equation, or a system of equations, whose purpose is to provide an approximation to the behavior of a real-world phenomenon.
Constant
Let $P$ be a stochastic process which is being modelled by means of a model $M$.
A constant of $M$ is a number which implements some aspect of $P$ which is not changed during the evolution of $P$.
Parameter
Let $P$ be a stochastic process which is being modelled by means of a model $M$.
A parameter of $M$ is a number which implements some aspect of $P$ which is designed so as to be able to be modified during the evolution of $P$ as a result of analysis of the behaviour of $P$ over time.
Also see
- Results about mathematical models can be found here.
Sources
- 1965: A.M. Arthurs: Probability Theory ... (previous) ... (next): Chapter $2$: Probability and Discrete Sample Spaces: $2.1$ Introduction
- 1966: Isaac Asimov: Understanding Physics ... (previous) ... (next): $\text {I}$: Motion, Sound and Heat: Chapter $2$: Falling Bodies: Inclined Planes
- 1976: K. Weltner and W.J. Weber: Mathematics for Engineers and Scientists ... (previous) ... (next): $1$. Functions: $1.1$ The Mathematical Concept of Functions: $1.1.1$ Introduction
- 1977: Gary Chartrand: Introductory Graph Theory ... (previous) ... (next): Chapter $1$: Mathematical Models: $\S 1.2$: Mathematical Models
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): model: 3.
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): model: 3.
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): mathematical model
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): model