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This approximation is described in detail in from the point of view of the distance functions in Sect.
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Then a series of convex approximations is described in A series of convex approximation.
The procedure for obtaining a higher order approximation is described, and in particular two criteria for chosing the elliptic function parameter m are discussed.
A pseudo-fixed dead time correction circuit with non-extendable approximation is described that prevents systematic errors in quantitative EPMA caused by inappropriate dead time corrections.
The system in the 3L approximation is described by the Hamiltonian H_{0} = -frac{hbar}{2} (Omega_{12} K_{1}+Omega_{23} K_{2} ), (8) which has a zero-energy eigenstate of the form |lambda_{0}rangle = costheta|1rangle - sin theta|3ranglequad text{with } tantheta= Omega_{12}/ Omega_{23}.
In this work, a piecewise-linear (PWL) function approximation is described by a lattice algebra.
The multiscale approximation method is described in terms of the following steps so that the method can be applied to the general cases.
The original Novak and Tyson model [ 19] which was our point of departure corresponds to (3) (4) (5) (6) (7) (8) (9) (10 1112) (13) (14) (14) where (15) The default parmater values corresponding to the wild-type cell are (16) The hybrid model approximation process is described in [ 15] and summarized further down.
These dynamics suggest that the EU system, following an initial transient lasting a few generations, may, to a good approximation, be described by in terms of a co-ordinate describing position on this curve.
The photon transport, at both the excitation and emission wavelengths, is described in the diffusion approximation [ 27] by the diffusive Green function for the slab geometry G r, t) computed using the method of images [ 28].
The general effect of defocusing is described, in the weak-phase approximation (1), by the so-called contrast transfer function (CTF), a semiperiodic function in reciprocal space (2).
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