Despite the intricate formulas, computation is much faster for BCa than for the simpler percentile method, because optimisation is now restricted to a line within the full 20-dimensional parameter space.
Despite all these developments, designers are still faced with the problems of working with large numbers of formulas, computations and iteration procedures involved in the design of shafts.
(Fortunately, many of the typical supercomputer scientific applications involve applying exactly the same formula or computation to a vast array of data, which is a difficult but tractable problem).
Direct integration on the surface, using closed-form formulas, allows computation of the cross-section axial properties.
This new concept can be efficiently used to compute the signature of a modular system with an arbitrary organizing structure and to provide explicit formulas for computation.
We present a nondeterministic, recursive algorithm for updating a Kripke model so as to satisfy a given formula of computation-tree logic (CTL).
In this paper we derive a set of novel formulas for computation of the Green's function and the coupled electro-elastic fields in a 2D piezoelectric strip with free boundaries and containing a distribution of straight line defects.
Necessary and sufficient conditions for a second-order operator to be self-adjoint are obtained and a reduction formula for computations of norms of eigenfunctions of these operators is also given, which avoids the customary case-by-case analysis found, e.g., in [6, 8, 9].
This last statement affects the formulas for computation of the numbers of parsimonious scenarios in Assertion 3. Since ei + g = en, the total number of parsimonious scenarios at the tree root is now always equal to sn, because, even when ei + g = en, the set of i-parsimonious scenarios is a subset of the set of n-parsimonious scenarios.
In "Fast computation formulas", several fast computable formulas are presented for symmetric triangular and normal fuzzy data.
