# dimensional analysis

dimensional analysis
a method for comparing the dimensions of the physical quantities occurring in a problem to find relationships between the quantities without having to solve the problem completely. Cf. dimension (def. 6).
[1920-25]

* * *

Technique used in the physical sciences and engineering to reduce physical properties such as acceleration, viscosity, energy, and others to their fundamental dimensions of length, mass, and time.

This technique facilitates the study of interrelationships of systems (or models of systems) and their properties. Acceleration, for example, is expressed as length per unit of time squared; whether the units of length are in the English or metric system is immaterial. Dimensional analysis is often the basis of mathematical models of real situations.

* * *

▪ physical science and engineering
technique used in the physical sciences and engineering to reduce physical properties, such as acceleration, viscosity, energy, and others, to their fundamental dimensions of length (L), mass (M), and time (T). This technique facilitates the study of interrelationships of systems (or models of systems) and their properties and avoids the nuisance of incompatible units. acceleration, for example, is expressed as L/T2 in dimensional analysis because it is a distance (L, length) per unit of time (T) squared; whether the actual units of length are expressed in the British Imperial (British Imperial System) or metric system is immaterial. Dimensional analysis often provides a “check” for mathematical models (mathematical model) of real situations. In order for such a model to be useful, it must be dimensionally faithful to the original.

* * *

Universalium. 2010.

### Look at other dictionaries:

• Dimensional analysis — In physics and all science, dimensional analysis is a tool to find or check relations among physical quantities by using their dimensions. The dimension of a physical quantity is the combination of the basic physical dimensions (usually mass,… …   Wikipedia

• dimensional analysis — noun : a method of analysis in which physical quantities are expressed in terms of their fundamental dimensions that is often used when there is not enough information to set up precise equations …   Useful english dictionary

• Dimensional analysis — …   Википедия

• dimensional analysis — noun The study of the dimensions of physical quantities; used to obtain information about large complex systems, and as a means of checking mathematical and physics equations …   Wiktionary

• analysis — /euh nal euh sis/, n., pl. analyses / seez /. 1. the separating of any material or abstract entity into its constituent elements (opposed to synthesis). 2. this process as a method of studying the nature of something or of determining its… …   Universalium

• Dimensional database — A dimensional database is one which, rather than representing data in multiple relations (as a relational database does), represents key data entities as different dimensions. That is, multidimensional database systems offer an extension to the… …   Wikipedia

• Dimensional modeling — (DM) is the name of a set of techniques and concepts used in data warehouse design. It is considered to be different from entity relationship modeling (ER). Dimensional Modeling does not necessarily involve a relational database. The same… …   Wikipedia

• Dimensional Insight — Type Private Industry Business Intelligence Founded 1989 Headquarters Burlington, MA, USA Key people Frederick A. Powers, CEO Stanley R. Zanarotti, CTO …   Wikipedia

• Dimensional Markup language — (DML) is an XML format definition tailored to the needs of dimensional results for Discrete manufacturing. The purpose is to haul the results between applications that generate or use dimensional information. A typical scenario is where an… …   Wikipedia

• Dimensional Fact Model — Data Warehouses (DWs) are databases used by decision makers to analyze the status and the development of an organization. DWs are based on large amounts of data integrated from heterogeneous sources into multidimensional databases, and they are… …   Wikipedia