##### Wiktionary

**mathematical model**

n. An abstract mathematical representation of a process, device or concept; it uses a number of variables to represent inputs, outputs and internal states, and sets of equations and inequality to describe their interaction.

##### Wikipedia

**Mathematical model**

A **mathematical model** is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed **mathematical modeling**. Mathematical models are used in the natural sciences (such as physics, biology, earth science, meteorology) and engineering disciplines (such as computer science, artificial intelligence), as well as in the social sciences (such as economics, psychology, sociology, political science). Physicists, engineers, statisticians, operations research analysts, and economists use mathematical models most extensively. A model may help to explain a system and to study the effects of different components, and to make predictions about behaviour.

#### Usage examples of "mathematical model".

What Softly pointed out was that zorgs provide a perfect working __mathematical model__ of hole theory.

The __mathematical model__ of sexual selection that I am following most closely, that of Russell Lande, is a model of polygenes.

But according to the approach I described in Chapter 1, a scientific theory is just a __mathematical model__ we make to describe our observations: it exists only in our minds.

I saw a discontinuity in the __mathematical model__ of the aspect of mass-energy called inertia.

The __mathematical model__ turned out to be similar to the real world.

That was the only hazard, really-one never knows that a __mathematical model__ is similar to the real world until you try it.

The new __mathematical model__ that had emerged--a pattern for the future--was enthralling to contemplate, but the ideas already floated inside his head, and he was certain that double-checking the Prime Radiant wouldnt change anything.

The new __mathematical model__ that had emerged--a pattern for the future--was enthralling to contemplate, but the ideas already floated inside his head, and he was certain that double-checking the Prime Radiant wouldnâ€™.

The new __mathematical model__ that had emerged-a pattern for the future-was enthralling to contemplate, but the ideas already floated inside his head, and he was certain that double-checking the Prime Radiant wouldn't change anything.

In 1994 Daniel Nilsson and Susanne Pelger used a computer to see what would happen to a __mathematical model__ of a light-sensing surface if it was allowed to change in small, random, biologically feasible ways, with only those changes that improved its sensitivity to light being retained.

In day after day of debating and theorizing that usually went on all through the night over take-out snacks and endless coffee, the red-eyed but excited scientists reexamined and reformulated their basic premises and eventually produced a revised __mathematical model__.

This makes it a lot easier and cheaper to test a design for, say, a bridge, by making a __mathematical model__ of it and seeing what happens when mathematical trains roll over and mathematical winds blowthan having to actually build the bridge.