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.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

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]
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.degree of freedom - (statistics) an unrestricted variable in a frequency distribution
variable quantity, variable - a quantity that can assume any of a set of values
statistics - 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 system
parameter, parametric quantity - a constant in the equation of a curve that can be varied to yield a family of similar curves
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
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!
It cannot have recourse to lattice vibrations as a degree of freedom. Consequently, a gaseous Sun must rely almost exclusively on translational and electronic degrees of freedom as receptacles for energy.
It covers systems with a single degree of freedom, systems with multiple degrees of freedom, distributed-parameter systems, random vibrations, and earthquake engineering.
OTIS4 is a point mass, three degree of freedom (3DOF) simulation program for single vehicles.
Yet the two motions in combination can be used to provide an extra degree of freedom and rotate the pizza horizontally, reports New Scientist.
The strategy of mathematical model for adaptive suspension mechanism, vary depending on design process of the control law, from using a simplified model of movement, with only one degree of freedom for testing algorithms of control with high degree of complexity, to drawing up a extended model of movement, with seven and more degree of freedom, for representing much better the comfort performances and safety for the development results.
Legal recognition of gay unions comes at a steep price for Christian institutions, which have now lost a degree of freedom. If states do not provide religious exemptions to these laws, same-sex marriage will begin pushing faith-based organizations out of the public square.
Thus, there is no degree of freedom in this example (1 - 1 = 0).
For repeatability evaluation, the degree of freedom is obtained from the number of independent repeated observations, i.e., n- 1.