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Through introducing the transformations and Taylor expansion to the material balance equation, a new 2-order pressure related equation to calculate the OGIP is established; this new method gets advantages of conventional formation pressure method and Law of water cutting volume factor.
Introducing the transformations given in Equation 15 and using (16) into Equations 13 and 11 are transformed into the new coordinate system.
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By introducing the transformation errors, the original system with prescribed performance constraints are transformed into a class of new systems without constraints.
Inspired by the biological immune and nervous systems, the authors are introducing the transformation of prognostics and health management (PHM) to engineering immune systems (EIS).
Inspired by the biological immune and nervous systems, the authors are introducing the transformation of PHM to engineering immune systems (EIS).
Last week, when introducing the transformation charter, Willie Basson, of the South African rugby union, said that there had been too much emphasis on the number of black players in the national team and not enough on enlarging the pool of black talent.Better training, fewer quotasThese complaints are echoed by the opposition.
Reduce the order of the momentum equation for f by introducing the transformation f ′ = p and express the original equation in terms of p.
Introducing the transformation (T'=T), (X'=X-a_{0}T) and (Y'=Y), substituting the transformation into Eq. (35), and omitting the apostrophe, we can rewrite the combined ZK-mZK equation in the following form: A_{T}+a_{1}AA_{X}+a_{2}A^{3}A_{X}+a_{3}A_{XXX}+a_{4}A_{XYY}=0.
For self-similar boundary layer problems, the SRM algorithm may be summarized as follows: 1. Reduce the order of the momentum equation for f by introducing the transformation f ′ = p and express the original equation in terms of p . 2.
First, we provide a brief description of Legendre polynomials, and then we try to find the relation between the Legendre polynomials and the normalized Bernstein polynomials by introducing the transformation matrices W and G.
In order to apply the first integral method described in Section 2, we first introduce the transformations sin u = v − v − 1 2 i, sin 2 u = v 2 − v − 2 2 i, v = e i u. (8).
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