Acoustic theory is the field relating to mathematical description of sound waves.

Although counting the number of elements in a set is a rather broad mathematical problem, many of the problems that arise in applications have a relatively simple combinatorial description.

The term theoretical chemistry may be defined as a mathematical description of chemistry, whereas computational chemistry is usually used when a mathematical method is sufficiently well developed that it can be automated for implementation on a computer.

Furthermore, in chemistry, four types of mathematical description can be distinguished: mass concentration, molar concentration, number concentration, and volume concentration.

Suppose that in a mathematical language L, it is possible to enumerate all of the defined numbers in L. Let this enumeration be defined by the function G: W → R, where G ( n ) is the real number described by the nth description in the sequence.

volume ) and its position in time ( perceived as a scalar dimension along the t-axis ), as well as the spatial constitution of objects within — structures that correlate with both particle and field conceptions, interact according to relative properties of mass — and are fundamentally mathematical in description.

** Dispersion relation, the mathematical description of dispersion in a system

In its mathematical form it is analogous to the description of a physical wave, but its " crests " and " troughs " indicate levels of probability for the occurrence of certain phenomena ( e. g., a spark of light at a certain point on a detector screen ) that can be observed in the macro world of ordinary human experience.

Feynman stressed that his formulation is merely a mathematical description, not an attempt to describe a real process that we cannot measure.

The term representation of a group is also used in a more general sense to mean any " description " of a group as a group of transformations of some mathematical object.

An ionospheric model is a mathematical description of the ionosphere as a function of location, altitude, day of year, phase of the sunspot cycle and geomagnetic activity.

Given a simple mathematical or functional description of an input or output to a system, the Laplace transform provides an alternative functional description that often simplifies the process of analyzing the behavior of the system, or in synthesizing a new system based on a set of specifications.

* Molecular model, a physicochemical or mathematical description that models the behaviour of molecules

( See below for a mathematical description of these laws.

A mathematical model is a description of a system using mathematical concepts and language.

The mathematical formulations of quantum mechanics are those mathematical formalisms that permit a rigorous description of quantum mechanics.

A mathematical description ( set of equations ) that represents nutation is called a " theory of nutation ".

In 1891 the British Royal Society recognized Heaviside's contributions to the mathematical description of electromagnetic phenomena by naming him a Fellow of the Royal Society, and the following year devoting more than fifty pages of the Philosophical Transactions of the Society to his vector methods and electromagnetic theory.

Albert Einstein's mathematical description of how the photoelectric effect was caused by absorption of quanta of light ( now called photons ), was in one of his 1905 papers, named " On a Heuristic Viewpoint Concerning the Production and Transformation of Light ".

The programming language is augmented with natural language description details, where convenient, or with compact mathematical notation.

In this connection, it might be noted that the theory of games was a mathematical discovery long before its uses in political science were exploited.

Although modern scholars have expressed surprise that `` the simple magic square of three '', a mere `` mathematical puzzle '', was able to exert a considerable influence on the minds and imaginations of the cultured Chinese for so many centuries, they could have found most of the answers right within the square itself.

Although the primary mathematical properties of the middle number at the center of the Lo Shu, and the interrelation of all the other numbers to it, might seem enough to account for the deep fascination which the Lo Shu held for the Old Chinese philosophers, this was actually only a beginning of wonders.

With the Prior Analytics, Aristotle is credited with the earliest study of formal logic, and his conception of it was the dominant form of Western logic until 19th century advances in mathematical logic.

The study of altruism was the initial impetus behind George R. Price's development of the Price equation, which is a mathematical equation used to study genetic evolution.

Pythagoras believed that behind the appearance of things, there was the permanent principle of mathematics, and that the forms were based on a transcendental mathematical relation.

The Greek abacus was a table of wood or marble, pre-set with small counters in wood or metal for mathematical calculations.

The working principle of a yupana is unknown, but in 2001 an explanation of the mathematical basis of these instruments was proposed by Italian mathematician Nicolino De Pasquale.

J. Desaulx suggested in 1877 that the phenomenon was caused by the thermal motion of water molecules, and in 1905 Albert Einstein produced the first mathematical analysis of the motion.

The idea that alternative mathematical systems might exist was very troubling to mathematicians of the 19th century and the developers of systems such as Boolean algebra made elaborate efforts to derive them from traditional arithmetic.

In seeking to explain atomic spectra an entirely new mathematical model of matter was revealed.

He was known to have requested mathematical treatises concerning the astrolabe from Lupitus of Barcelona after he had returned to France.

Grothendieck's early mathematical work was in functional analysis.

On a Sabbath in September, 1304, the letter was to be read before the congregation, when Jacob Machir Don Profiat Tibbon, the renowned astronomical and mathematical writer, entered his protest against such unlawful interference by the Barcelona rabbis, and a schism ensued.

Newton was the first to develop a mathematical model for calculating the speed of sound, but it was not correct until Pierre-Simon Laplace accounted for the molecular behavior of gases and introduced the heat capacity ratio.

It was intended specifically for the new class of users that time-sharing systems allowed — that is, a less technical user who did not have the mathematical background of the more traditional users and was not interested in acquiring it.

Spending much of his youth on Bear Island, in Penobscot Bay off the coast of Maine, he had trouble with geometry, being unable to understand the abstraction necessary to imagine that a chalk dot on the blackboard represented a mathematical point, or that an imperfectly drawn line with an arrow on the end was meant to stretch off to infinity.

Long considered a mathematical curiosity, it was during the 1960s that theoretical work showed black holes were a generic prediction of general relativity.

Here, the idea was to map mathematical notation to a natural number ( using a Gödel numbering ).

He had read extensively in Leibniz, Joseph Louis Lagrange, Thomas Simpson, and Lacroix and was seriously disappointed in the mathematical instruction available at Cambridge.

He developed a method of measuring the horizontal intensity of the magnetic field which was in use well into the second half of the 20th century, and worked out the mathematical theory for separating the inner and outer ( magnetospheric ) sources of Earth's magnetic field.

One of the important problems for logicians in the 1930s was David Hilbert's Entscheidungsproblem, which asked if there was a mechanical procedure for separating mathematical truths from mathematical falsehoods.