It can be described by solution-reprecipitation and phase transformation subsequently to perovskite Pb(Fe1/3W2/3 O3, involving at least two intermediate phases which are formed at temperatures below and above the low-temperature liquid eutectic point and related to pyrochlore (Pb2FeWO6.5).
The entries of H can be described by solutions of two systems of ordinary differential equations.
This is due mainly to the rather misleading intuition that only harmonic vibrations can be described by solutions with separate time- and space-dependent factors.
The waves for all these applications are described by solutions to either linear or nonlinear second order hyperbolic partial differential equations (1.1), which have a dependent variable (u x,t)) (representing the wave value), an independent variable time t and one independent spatial variable x.
The problem is described by the solution of N equations in sums and differences of powers, up to order N, of m variables, with m ≥ N. The values of (m - N ) variables are chosen on physical considerations.
The explicit new representations of the effective moduli and stress concentration factors are expressed through some building block described by numerical solution for one heterogeneity inside the infinite medium subjected to homogeneous remote loading.
In mathematical terms, the range of allowable network states is described by a solution space Φ that represents the phenotypic potential of an organism.
In our experiments, the breakthrough curves (BTCs) are well described by analytical solutions of a convection/dispersion model with first-order deposition kinetics.
Periodic vibrations are described by particular solutions of the equations of motion, resulting from trigonometric expansions of sequences of Dirac distributions.
In the absence of natural convection (below Rathr) the experimental thermal response curves can be successfully described by approximating solutions of the transient heat conduction equation for the spheroidal geometry of the thermistor.
The paper is concerned with nonlinear spatial deformations of nanorods, described by exact solutions of the equilibrium equations of a rod theory based on the kinematics of Kirchhoff's inextensible rods and the constitutive equation of Eringen's nonlocal materials.
