| 释义 |
degree of freedom
degree of freedomn. pl. degrees of freedom 1. Statistics Any of the unrestricted, independent random variables that constitute a statistic.2. Physics a. Any of the minimum number of coordinates required to specify completely the motion of a mechanical system.b. Any of the independent thermodynamic variables, such as pressure, temperature, or composition, required to specify a system with a given number of phases and components.degree of freedom n 1. (General Physics) physics one of the minimum number of parameters necessary to describe a state or property of a system 2. (General Physics) one of the independent components of motion (translation, vibration, and rotation) of an atom or molecule 3. (Chemistry) chem one of a number of intensive properties that can be independently varied without changing the number of phases in a system. See also phase rule 4. (Statistics) statistics one of the independent unrestricted random variables constituting a statistic degree′ of free′dom
n. 1. any of the statistically independent values of a sample that are used to determine a property of the sample, as the mean or variance. 2. any of the independent variables required to specify the energy of a molecule or atom. [1900–05] Thesaurus| Noun | 1. | degree of freedom - (statistics) an unrestricted variable in a frequency distributionvariable quantity, variable - a quantity that can assume any of a set of valuesstatistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters | | 2. | degree of freedom - one of the minimum number of parameters needed to describe the state of a physical systemparameter, parametric quantity - a constant in the equation of a curve that can be varied to yield a family of similar curves |
degree of freedom
Degree of freedom (mechanics) Any one of the number of independent ways in which the space configuration of a mechanical system may change. A material particle confined to a line in space can be displaced only along the line, and therefore has one degree of freedom. A particle confined to a surface can be displaced in two perpendicular directions and accordingly has two degrees of freedom. A particle free in physical space has three degrees of freedom corresponding to three possible perpendicular displacements. A system composed of two free particles has six degrees of freedom, and one composed of N free particles has 3N degrees. If a system of two particles is subject to a requirement that the particles remain a constant distance apart, the number of degrees of freedom becomes five. Any requirement which diminishes by one the degrees of freedom of a system is called a holonomic constraint. See Constraint degree of freedom[di′grē əv ′frē·dəm] (mechanics) Any one of the number of ways in which the space configuration of a mechanical system may change. Of a gyro, the number of orthogonal axes about which the spin axis is free to rotate, the spin axis freedom not being counted; this is not a universal convention; for example, the free gyro is frequently referred to as a three-degree-of-freedom gyro, the spin axis being counted. (physical chemistry) Any one of the variables, including pressure, temperature, composition, and specific volume, which must be specified to define the state of a system. (statistics) A number one less than the number of frequencies being tested with a chi-square test. See DOF
See DFdegree of freedom
Words related to degree of freedomnoun (statistics) an unrestricted variable in a frequency distributionRelated Words- variable quantity
- variable
- statistics
noun one of the minimum number of parameters needed to describe the state of a physical systemRelated Words- parameter
- parametric quantity
|