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 ?
Each hand position was obtained by successively multiplying the eight 4 x 4 transformation matrices for four parameters of the D-H notation in each degree of freedom.
00577 [infinity] Table 3--calculation of combined uncertainty, degree of freedom and expanded uncertainty (uncertainty budget) Mean Uncertainty value Combined Uncertainty contributors (Y) uncertainty Uncertainty in Uia, Uii, 1.
Working with an advisor, investors have a considerable degree of freedom to customize a separate account, which cannot be done with a traditional mutual fund portfolio.
Verilog-driven, power-knowledgeable datapath synthesis provides users another unique degree of freedom -- architecture selection -- use in addition to current power management techniques.
Macey added, "Stellent's multi-site management functionalities give our customers, such as HELIOS, a degree of freedom in the development and management of their Web sites, allowing them to develop specialised or local content in accordance with company guidelines, and to manage and publish it in real-time.
The FLEXITY concept allowed a high degree of freedom to tailor the vehicles to the exclusive and innovative design created by MBD Design for CUMPM.
This allows an extra degree of freedom to help provide a more reliable link or the ability to remove noise.
Peter Lickiss, Chief Technology Officer, BBC Technology says: "We are proud that Colledia is now enabling one of the world's most respected production teams to produce content with a degree of freedom and efficiency not previously possible.