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The approximate reliability index and its sensitivity are obtained from a recurrence formula based on the optimality conditions for the most probable failure point (MPP).
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This implies that basing on recurrence formula (6) and double inequality (10), one can bound the ratio Γ ( x + a ) Γ ( x + b ) for any positive numbers x, a and b.
The MT19937 algorithm is based on the following linear recurrence formula, where and a denote word vectors, and is by matrix.
Based on the transfer matrix method, then the recurrence formula is developed to get the eigenvalue equations of free vibration of FGM beams.
We find the recurrence formula for m th-order moments.
The recurrence formula of fatigue damage model was derived under multilevel loading.
The recurrence formula of { T n } is obtained by the properties of the third-order linear recurrence sequence.
As for the -extension of the recurrence formula for the Euler numbers, Kim [10] had the following recurrence formula: (1.2). with the usual convention of replacing by.
Before stating the quadratic recurrence formula for the Apostol-Bernoulli polynomials, we begin with a summation formula concerning the quadratic recurrence of the Apostol-Bernoulli polynomials.
The recurrence formula for the classical Bernoulli numbers is as follows, (1.2). (see [1, 3, 23]).
But whatever that h i over k i is it apparently satisfies the recurrence formula.
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CEO of Professional Science Editing for Scientists @ prosciediting.com