Sentence examples for by a standard approximation from inspiring English sources
Then we find the result for almost periodic functions by a standard approximation.
Otherwise, by a standard approximation procedure, see for instance the proof of [8, Th. 3.42], we may find a sequence of n-symmetric smooth open sets (E_h) converging in measure to E, (|E_h|=|E|) for all h, (P(E_h)rightarrow P(E)), satisfying the assumptions (4.26) with l possibly replaced by 2l.
Giemsa-stained blood films were made and parasitemia was quantified by a standard approximation method (number of asexual parasites per 200 white blood cells per 40 on thick film).
A standard approximation argument completes the proof for almost periodic functions.
The harmonic mean is a standard approximation of the marginal likelihood, the latter being required for Bayes factor analysis [59].
Here we use a standard approximation: when analyzing motion in a viscous fluid, elongated orthotropic bodies can be represented by prolate ellipsoids of revolution (ref (70), p 222).
Then the variance of average time to 'cure' is given by: and the 95% confidence interval around average time to 'cure' is given by a standard Normal approximation:.
However, extensive numerical examples have shown that this type of algorithm can solve general MP problems of dimensions 10 15 (while the problems of such dimensions are already very hard to solve by the standard approximation tools) [5, 6, 35].
The hierarchy is closed by making a standard closure approximation.
It was shown by Berndtsson [5] that Theorem 2.2 is a formal consequence of Hörmander's estimate: By standard approximation we may assume that (psi ) is smooth, strongly plurisubharmonic and that (Omega ), (varphi ), (psi ) are bounded.
By sufficient accuracy, we mean that the wellbore pressure as a function of time and its derivative computed from the pressure by a standard finite difference approximation would match well the pressure and its derivative obtained from an analytical solution if they were available.
