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We also show how this continuation may be deduced using the theory of spherical functions.

Any new or modified tensor corresponding to an arbitrary coordinate system with a specific ferroelectric polarization of the underlying material can thus be deduced using the rotation transformation relations as they are commonly applied to piezoelectric tensors50.

The velocity vector, which evolves Γ in the steepest descent direction can hence be deduced using the Cauchy-Schwarz inequality as: v = d ( x, ℋ ̄ ) - d ( x, ℋ ) - η κ ( x ) n. (13).

The structures of system vectors and matrices for the dynamic model of the system under consideration can be deduced using the following differential equations: left( {P_{text{m}} - P} right)left( {frac{1}{s}M + D} right) = omega (1).

The assumed values of K1, K2 and estimated values of all the customer types (theta) can be deduced using the described method, and are shown in Table A2 for this example.

GABA (A) receptor binding, NMDA receptor binding, TSPO binding, dopamine receptor binding, metabolic rate of glucose, and function of Pgp transporters can be deduced using the following PET tracers: [11C]FMZ, [11C]GMOM, [11C]PK11195, [11C]raclopride, [18F]FDG, and [11C]PHT, respectively.

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Geometrical characteristics of rough surfaces are deduced using the standard procedure for roughness and waviness parameters.

The equations of motion of FG sandwich cylindrical shells are deduced using the FOSDT.

The effect of those parameters on the properties of AMCs was deduced using the developed empirical relationships.

The analytical formulae of equivalent Young's modulus and Poisson's ratio are deduced using the beam theory.

The statistical properties of the GCCC chart with the VSI scheme are deduced using the Markov chain method.

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