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Instead of a pure inverse-square law, Clairaut proposed adding a small term, proportional to the inverse fourth power of the distance, in order to get the motion of the Moon's perigee to come out correctly.
In our problem, no small term exists and the perturbation method cannot be used for this purpose.
In fact, the term (O tau^{(1+alpha)/2})) comes from the error estimate of the accumulation for adding small term at a given time level.
The parameter A is approximately solved with the perturbation method by assuming A to be a small term (Liu 1999; Gao and Miska 2010a).
This problem is characterized by nonlocality of boundary conditions and by presence of a small term ε which corresponds to the inverse of Reynolds number Re very large for the Navier-Stokes equations.
where o(1) is a small term that approaches zero with increasing K. Our approach is to model the complementary S-IDNC graph (overline {mathcal {G}}_{s}) after the systematic phase as a random graph with i.i.d.i.d
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The Royal Institute of Chartered Surveyors puts it in no small terms: "Surveyors essentially measure, value, protect and enhance all the world's physical assets".
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In (27), we ignore the (small) terms containing ||Δ x t ||2 in the square root.
The two ADI schemes are constructed by adding two different small terms, which are different from standard ADI methods.
This problem is characterized by the presence of an abstract operator A and small terms ε k which correspond to the inverse of Reynolds number Re very large.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com