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An orthogonal matrix D h to reduce degrees of freedom of (36) is obtained as boldsymbol{D}_{h} = left[ begin{array}{c} boldsymbol{I}_{15} -boldsymbol{C}_{h2}^{-1} boldsymbol{C}_{h1} end{array} right].
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A vectorised formulation for bar elements and reduced degree-of-freedom beam elements is used, to analyse the absolute and relative run-times for three benchmark cases.
Flutter boundaries are defined by eigenvalue analysis, and the Guyan reduction is used to reduce degree of freedom.
Low intensity did not reduce degree of conversion because the light exposure time was increased until the polymerization reaches the diffusion limited free radical propagation [27].
Flutter boundaries are defined by linear flutter analysis and the Guyan reduction is applied to reduce degree of freedom for eigenvalue analysis.
This observation is consistent with our previous results that without steric hindrance or a hydrogen bond to reduce degree of rotational freedom a flexible group can adapt alternate conformations which destabilizes the hydrophobic contacts and reduces binding affinity [15, 17].
Text messaging was also mentioned as an important component in reducing degrees of separation.
This reduces degrees of freedom available for the packet and results in high energy cost.
Nevertheless, the results of the calculations regarding the reduced degrees of freedom indicate that the statistical relations between atmospheric depositions and bioaccumulations remained statistically significant so that hypothesis 2 could be rejected, too.
In the Ising model, the self-organized dynamic patterns are formed through the spontaneous fluctuation of random spins, reducing degrees of freedom through non-linear interactions among functional units of spin clusters [ 65].
Quadratic and power fits were both significant, however the power function provided a better fit with a P-value of 0.004 despite increased fit complexity and reduced degrees of freedom (R2 = 0.9919).
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CEO of Professional Science Editing for Scientists @ prosciediting.com