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For a certain class of matrix functions that are analytic on the real line but not at infinity an explicit method of factorization and of constructing inverse Fourier transforms is developed.
We solved Eq. (4) using a finite difference method, and an explicit method of time integration is used (see Section 2.5, where we discuss the time steps and the stability).
Our approach should not be confused with shock tracking or front tracking methods in which a combination of the finite difference or finite volume methods (in smooth regions) with an explicit method of tracking the location of discontinuity is employed.
To begin the computation, we need the numerical value of u of required accuracy at (t = k), so we discuss an explicit method of (O k^{2})) for calculating the value of u at first time level in order to solve the differential equation (1.1) using the proposed scheme (3.12) which is applicable to problems both in Cartesian and polar coordinates.
An explicit method of constructing weak matching rules for N-fold symmetric tilings in two dimensions is presented.
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Remarkably, this appears to describe a sizeable portion of the published literature on hypersexuality: A researcher hypothesizes a deficit or excess in any of many characteristics, then (lacking any explicit method of isolating comparatively homogeneous subgroups or eliminating factitious cases, etc).
The numerical model is also presented in Section 2 through three main steps as follows: The first is an explicit method for hydrostatic component of the pressure, and the second is a formulation of the Poisson equation for implicitly solving the non-hydrostatic pressure.
The mere act of using an explicit method to elicit, document, record and monitor can improve patients' active participation in the goal setting process [ 35]; a deeper understanding of this in the context of nurses' daily practice was developed through the current study.
Individualizing patient care while standardizing clinical decisions with an explicit method is, in my opinion, one of the most attractive attributes of the point-of-care use of computerized protocols.
In the case of an explicit method, as A is a strictly lower triangular s × s matrix, its sth power is A s = 0. Therefore, equation (4) can be expanded into a finite power series for A: (6) R (z ) = 1 + ∑ j = 1 s z j b T A j − 1 e = 1 + ∑ j = 1 s r j z j, where r j = bT A j -1 e, j = 1,..., s.
A spatially explicit method of network design for monitoring and sampling strategies combines stratified and multi-scale agricultural landscape monitoring and uses neighbourhood analysis characterised by the nearest neighbourhood index and Ripley's K-function.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com