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In this paper, we give the matrix form for the degree elevation of rational triangular Bézier surfaces.
The dynamic equations are formulated into matrix form for the calculation of the natural frequencies and mode shapes.
We then construct a nonlinear eigenvalue problem in the matrix form for given azimuthal wavenumbers and compute the eigenfrequencies and their conjugate mode shapes through solving a determinantal equation followed by evaluating the adjoint matrix of a singular linear map.
we obtain the following matrix form for the initial vector d 0 : Wd 0 = b, (14).
Equation (20) represents the coupled equation of motion in matrix form for the bridge equipped with TMFD.
This produces data of a 80-by-80 80-by-80 80-by-80he three-dimatrixnal graph oformp (T a,T s ), where T a and T s are the thicknesses oforhe phothective layer and the optical spacer, respectively.
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As such we will use matrix forms for representing the individual steps.
The matrix forms for curves and surfaces were largely promoted in CAD/CAM.
An example of a matrix form of T l for l=α·n.
Adults return to breed at age 3, 4 or 5. Thus, the matrix form of the model for a female is as follows: where s x equals the survivorship from age x-1 to age x, b x equals the propensity to breed at age x, m x equals the fecundity at age x, and μ equals the survivorship of adults during their migration to the spawning area.
These hybrid functions and their operational matrices are used for representing matrix form of these equations.
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