# Definition of degree of freedom in US English:

## degree of freedom

### noun

• 1Each of a number of independently variable factors affecting the range of states in which a system may exist, in particular any of the directions in which independent motion can occur.

• ‘The most significant contributions derive from the conformational degrees of freedom of the chain, its vibrational modes, and the hydration of the chemical groups.’
• ‘It is also found from this study that the ground frequency response function measured by falling plate test is similar to that of vibration of a single degree of freedom with damping.’
• ‘Most of those theories simplified the structure of the cochlear partition and limited the degrees of freedom of its motion to capture the dominant modes of vibration.’
• ‘But the ability to exploit the spin degree of freedom in semiconductors promises new logic devices with enhanced functionality, higher speeds and reduced power consumption.’
• ‘Figure 8 shows the mathematical model of the temporary barrier system with the kinematic degrees of freedom.’
• ‘The explanation of this feature is that the model has more parameters than the degree of freedom of the system.’
• ‘Since rigid vibration is assumed, only a single degree of freedom exists, and structural relations within the organ of Corti should remain static during motion.’
• ‘Therefore, the number of independent variables would be limited to two because of the degrees of freedom in the regression model.’
• ‘In these cases, water is confined and its rotational degrees of freedom are particularly influenced by interaction with the channel wall.’
• ‘Composition within the model is treated as an extended degree of freedom with its own governing equation of motion, the CH equation.’
• ‘The motion of the rotor is clearly the slowest degree of freedom.’
• ‘This fact makes the study of the vibrational dynamics of proteins particularly relevant because vibrational dynamics reflect thermal motions of the mechanical degrees of freedom.’
• ‘An independent degree of freedom would simply multiply the number of microstates in each macrostate by a constant - which would raise the entropy of each macrostate by a constant.’
• ‘The resulting theory, which is called Matrix theory, is an exact and complete quantum theory that describes the microscopic degrees of freedom of M-theory.’
• ‘Similarly, in a ski simulator experiment, the amplitude of articular movements grew during learning, testifying to this progressive release of the degrees of freedom.’
• ‘These degrees of freedom (local dynamics) represent possible large amplitude motions of the rigid monomers.’
• ‘The wonderful thing about soft robotics is that it's infinitely adaptable, unlike the few degrees of freedom of rigid robots.’
1. 1.1Chemistry Each of a number of independent factors required to specify a system at equilibrium.
• ‘These total 35 effects, equal to the degrees of freedom among the 36 genotype means.’
• ‘This may be explained by an increasing degree of freedom of the side chains of the aromatic amino acids.’
• ‘This is very important for folding simulation because the degrees of freedom of a protein molecule are very large and there are many local minima in the folding path.’
• ‘With protein-protein complexation, the larger interaction surface leads to a more substantial reduction of the external entropy, particularly for the rotational degrees of freedom.’
• ‘For an intermolecular disulfide bond within a beta-structure, segmental flexibility is less important because of the higher degree of freedom of the system of two separate molecules.’
• ‘Finally, in the particular case of CpMV, pressure has a dramatic effect on crystal order because it controls the degree of freedom of particles in the lattice.’
2. 1.2Statistics The number of independent values or quantities which can be assigned to a statistical distribution.
• ‘It should be noted that the larger the sample size, the larger the chi-square value relative to the degrees of freedom.’
• ‘A chi-square value close to the degrees of freedom indicates that the hypothesized model fits the sample data well.’
• ‘Exploiting strategic degrees of freedom requires defining the strategic degrees of freedom which affect the outcome to the customer and which are within the control of the provider.’
• ‘Even though in geometry 2 points define a line, empirical studies require at least 3 points to add an additional degree of freedom for statistical computations.’
• ‘As a consequence, covariance matrices of the coordinate data are not of full rank, and the degrees of freedom for some statistical tests need to be adjusted.’
• ‘The tabulated P value was calculated for every test statistic, using an F distribution with the appropriate degrees of freedom.’