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These relations make available more flexible approximation spaces since they are enriched with a wider class of rough ideals.
The model is based on a flexible approximation of a dynamic relationship between dependent and independent variables using the polynomial lag structure.
Combined with a coarse representation of the biological system by feature vectors, such methods can provide a flexible approximation of the molecular structure.
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Secondly, they provide more flexible approximations to nonlinear systems than linear systems do.
In the proposed new class of Flexible Local Approximation MEthods (FLAME), a desirable set of local approximating functions (such as cylindrical or spherical harmonics, plane waves, harmonic polynomials, etc).
The recently developed Flexible Local Approximation MEthod (FLAME) produces accurate difference schemes by replacing the usual Taylor expansion with Trefftz functions – local solutions of the underlying differential equation.
The known methods capable of providing flexible local approximation of such features include the generalized finite element – partition of unity method, special variational-difference schemes in broken Sobolev spaces, and a few other specialized techniques.
In fact, we develop the BPF method to be flexible for an approximation of the differential equations with different boundaries.
Unlike hard computing, the soft computing is well-flexible against imprecision, approximation and partial truth, as well.
Comparison with simulation results shows: (1) the beta-binomial approximation is flexible in shape and matches the skewness predicted by simulation as shown by the stochastic SI model and (2) mixture approximations are able to predict transient and extinction behaviour as shown by the stochastic SIS model, in marked contrast with existing approaches.
This approximation allows a flexible specification of the relationships between the initial values and observed and unobserved individual characteristics.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com