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The shear deformation of the sandwich panel was described by a polynomial function.
We also find that average interfacial velocity is described by a polynomial of the mean curvature and the net curvature.
An expression for the output frequency response function (OFRF), which defines the explicit analytical relationship between the output spectrum and the system parameters, is derived for nonlinear systems which can be described by a polynomial form differential equation model.
The increasing trend of erosion or material loss in this case can be described by a polynomial function in a logarithmic scale, when the particle size increases in the range of 100 700 μm.
This means that the parametric "speed", (dot{s}(t)), of the curve can be described by a polynomial, making it possible to compute the length of the path, (s), as shown in Eq. (8): begin{aligned} s=int limits _{t_{i}}^{t_{f}}sqrt{dot{x}(t)^2+dot{y}(t)^2+dot{z}(t)^2},mathrm{d}t=int limits _0 ^1 |h(t)|,mathrm{d}t.
Both were described by a polynomial equation.
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Rational functions, which are described by a nominator polynomial function P x) and a denominator polynomial function Q x) y(x) = frac{P x)}{Q x)} (19).
Both the element transverse displacement and the rotation of the beam cross-section are described by a cubic polynomial plus a variable number of trigonometric sine terms.
The solution is based on the extended Stroh formalism of complex variables, and is valid for the inclusion of arbitrary shapes, described by a Laurent polynomial, a polygon, or the one bounded by a Jordan curve.
In this paper, Chua's system with a smooth nonlinearity, described by a cubic polynomial, has been presented.
The resulting binding isotherm is described by a binding polynomial consisting of the activities of soluble and immobilized ligand and binding constants for the association of immobilized protein with free and immobilized ligand.
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