By the same proof as that of Property 1.1 in [11] and the classical Galerkin approximates, noting that k1 u ω(t) and k2 v ω(t) are right continuous with left limit with respect to t, we can show that the equation (1.3) admits at least a solution (u t, ω, u0, v0), v t, ω, u0, v0)) ∈ C 0, ∞; L2(D) × L2(D)) for every ω ∈ Ω.
While our estimate of σ is only approximate, we note that there is imprecision and uncertainty about all the parameter estimates, especially that of the CSF flow resistance 'R.' Estimation methods specifically developed for dynamic models are needed.
It turns out that with options (ii) and (iii), the treatment means of designs 3, 4, 7, 11 and 12 are correlated, meaning that weighting by the inverse of the squared standard errors is only an approximate method (note that the designs in question are precisely the ones represented by several trials).
If a director purchases sufficient quantities of papier-mâché to suggest the settings specified in the libretto, and if singers and orchestral players merely approximate the notes in the score, you are assured of a passable evening's entertainment.
The idea is to find an exactly factorizable adjacency matrix A CF = CF CF τ - diag(CF ) + I that best approximates A. Note that the diagonal elements of A CF and A equal 1.
Approximate spiciness is noted and runs from very mild for kormas to very, very hot and spicy for vindaloos (vin d'alho on the menu) and Kolhapuris.
For non-linear systems this gives results that are comparable to those of the Godunov method in conjunction with the exact Riemann solver or complete approximate Riemann solvers, noting however that in our approach, the solution of the Riemann problem in the conventional sense is avoided.
Clinically relevant dilutions of genomic DNA were made in Eiken kit buffer to yield the DNA concentration and approximate parasite count noted for each experiment.
Therefore, the work done on the stress fiber network by the mechanical force applied at the cell surface can be written as: while the potential energy stored in the stress fiber network can be approximated as Here, note that implying that some of the work done by the applied force is lost due to the material (internal) viscous damping force which acts as frictional work within the network.
If W characterises Tone-model components, then the unobserved MIDI could be estimated from V and W. Intuitively, H should approximate the activation of note events if W could successfully learn the harmonic structure of those notes events.
