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The curvature of the fluid/fluid interface is not approximated according to the lubrication approximation in order to create a well-defined set of equations in the sense of Hadamard.
The fraction of the requested bandwidth over the available bandwidth can be approximated according to such unit fraction.
In both cases, the expected value of the division of random variables can be approximated according to (35) and (37).
The nonlocal governing equations are approximated according to IGA based on GHSDT, which satisfies naturally the higher-order derivatives continuity requirement in weak form of FG-CNTRC nanoplates.
The governing equation is approximated according to the HSDT model using isogeometric elements based on Non-Uniform Rational B-Spline (NURBS) basis functions.
For the We-MIML related part in our system, the time windows length is configured as 1 month, i.e., the distribution of (v_j) is approximated according to the class frequencies in last month.
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In the above, we introduce the constraint notation with the vertical bar notation, where the expression on the left is the clique factorization term with the constraint that it approximates according to the standard HMM conditional probabilities.
The human brain appears to have two modes of mathematical reasoning, which take place in different brain regions--one verbal and exact, the other nonverbal and approximate, according to a study in today's Science.
In order to approximate, according to the Schellekens approach, the running time ofcomputing of the algorithms under consideration it remains to give an asymptotic upperbound of f T. But Schellekens proved that f T ∈ O ( g ) provided that g ∈ C b, c and that Φ T ( g ) ≤ g.
We approximate, according to (11), the conditional distribution (p(breve {mathbf {X}}_{k+1}|mathbf {Z}_{k+1})) by merging an unweighted target dataset from subset 2 and a random selection from subset 3. The unweighted target dataset is generated by applying the SIR algorithm on the weighted target dataset provided by the update step.
Since the area of the sensing terrain is A, the number of cluster-heads can be approximated to λCHA According to Campbell's theorem and the results in [17], we get P { ( x, CH ( 1 ) ) ∈ cluster ( 1 ) } = 1 - π x 2 A λ CH A. (9).
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