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Under a uniqueness condition of the solution of a weak formulation of the problem, such fields are lower bounds for the true pressure field.
The initial local-buckling deflection given by the characteristic-value analysis is used as the initial condition of the solution of the equations, instead of the initial imperfection that is assumed in literatures.
The widely used weighted least squares (WLS) method, which is applied in the quantitative energy spectral processing for the pulsed neutron geochemical logging, suffers the absence of constraint condition of the solution variables and thus it is hardly to determine the elemental concentrations in a high precision and accuracy.
In this case, the condition of the solution included standard error of 0.35, Bi2O3 of 1.24, TiO2 of 1.27 and alpha of 20.03.
Thus the periodicity condition of the solution is written as x(n + p; φ) = φ(n) for n ∈ [-d + 2, 2].
M-NSC provides us a sufficient and necessary condition of the solution to (l_{2,0} -minimization and (l_{2,0} -minimization, and it is important for proving the equival_{2,p} -minimizationtween these two model_{2,p} -minimization
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These structures were not etched out of a larger crystal, but were self-assembled on the atomic scale by actively modulating the conditions of the solution in which the mineral crystals precipitated.
These tests are easily repeatable under different conditions of the solution, pH and contact time.
People use a series of techniques and methods, such as calculation and reasoning, to study these equations and to obtain the oscillation conditions of the solution of the equation [10, 15 19].
The issues regarding (i) the variational inequality approaches to express the equilibrium system and (ii) the existence and uniqueness conditions of the solution for the equilibrium system are discussed in this section too.
G-Quadruplexes can assume several different structures that are dependent upon the alkali metal ion (K+ or Na+) coordinated, the physical conditions of the solution, and the sequence.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com