degree of freedom

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degree of freedom

n. 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]
ThesaurusAntonymsRelated WordsSynonymsLegend:
 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
References in classic literature ?
I spoke but a few moments, when I felt a degree of freedom, and said what I desired with considerable ease.
He did not talk much to me, but when he did speak it was with a degree of freedom and openness, and kindliness too, that plainly seemed to intimate he knew his words were music to my ears; and when his looks met mine it was with a smile - presumptuous, it might be - but oh
Each additional parameter to be estimated costs one residual degree of freedom (Dallal, 2003).
To obtain the effective degree of freedom, the degree of freedom for each standard uncertainty component is required.
Within these confines of the institution, he has a high degree of freedom and busies himself in the woodworking shop and other facilities.
88 with one degree of freedom, therefore the p value was less than 0.
Most residents are entitled to a degree of freedom and independence.
Two of the three original test cells are multi-axis, spindle-coupled passenger car simulators (MTS 329s with four degrees of freedom), while the third, a tire-coupled design, sits in a Ransco environmental test cell and has one degree of freedom at each wheel.
To overcome these problems, in the present study we aimed to quantify the range of joint mobility with the assumptions of (a) three degrees of freedom for the shoulder, trunk, and hip; (b) two degrees of freedom for the knee; and (c) one degree of freedom for the wrist, elbow, and ankle joints.

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