# degree of freedom

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## 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.
References in periodicals archive ?
The degree of freedom is always 1 for each relationship and therefore, some statistical software, such as SPSS, do not bother to report it.
Since the effective degree of freedom is more than 30, from the t-distribution table at 95% CL, the coverage factor
Degrees of Freedom: The human joint has one degree of freedom for each range of movement; forward/backward, up/down and rotation.
It commemorates the beginning not only of a new country, but of a new kind of society, in which the common man achieved a degree of freedom and opportunity undreamed of in any other country before.
The fact that over 90 percent of them reported a high degree of freedom from disabling symptoms suggests that in the total MS population, there must be many thousands of people with mild MS.
I spoke but a few moments, when I felt a degree of freedom, and said what I desired with considerable ease.
CHAPTER 3 BASIC OPTIMAL SHOCK ISOLATION: SINGLE DEGREE OF FREEDOM SYSTEMS.

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