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An extension of the cautious design to the solution associated with an arbitrary probability is also proposed.
And the kernel function (rho eta,x,y)) is the fundamental solution associated with the operator (partial_{eta}-Delta_{x}) and boundary condition (Bu=0).
As the standard way, let (K t,theta)) be the fundamental solution associated with the operator ({ frac{partial }{partial t}-triangle }).
It is pertinent to mention that this slow learning process is to avoid local solution (associated with the non-stationary nature of speech signals).
The steady state probability density function, the characteristic function and the second order moments of the stationary solution associated with an explicit invariant measure are explicitly constructed.
Equation 17 provides a ready means of assessing the relative fitness of two solutions a chromosome encoding a solution associated with lesser loss is fitter than the one associated with a greater loss.
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A coupled four-species transport problem in a finite domain is used to demonstrate the robustness of the proposed method for deriving the analytical solutions associated with sequentially coupled multi-species solute transport problem.
This could be especially true when children learn the various operations, so that solutions associated with various operations might pop-out automatically [i.e., the associative confusion effect, [ 63]].
You travel widely in the film - Vietnam, France, Iceland, Beirut, San Francisco, Yorkshire, the world's oceans - to report both on the problems and potential solutions associated with wasteful consumerism.
Too often they assume that because the actual engineering solutions associated with boosting bike use are generally modest, it can all be done in a piecemeal, half-hearted way.
Numerous sulfates, usually simple, are formed directly from hot aqueous solutions associated with fumarolic (volcanic gas) vents and late-stage fissure systems in ore deposits.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com