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For recursive Bayesian estimation the following time update and measurement update equations for the PDFs need to be solved, in general using a PF: (5a).
On the other hand the same problem but for nilpotent singular point is far to be solved in general, due to the invalidation of classical methods.
However, if we fix a L-basis of R then it makes a new system of (commutative) linear equations with respect to the basis, which is easy to be solved in general.
The system of gravitational field equations (Equation 135) defined for the ansatz (Equation 136) can be solved in general form if there are given certain values of functions g1 x1,x2)(or, inversely, g2 x1,x2)), h3(x i,v) (or, inversely, h4(x i,v)) and of sources ϒ1 x1,v2,v )and ϒ3 x1,x2).
This is because the general problem of finding a gf-compatible set (if it exists) can be solved in general polynomial time when Y is finite and f monotonic.
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The problem was solved in general form, in our previous work [cf. Danov et al. (1998b Chem. Engng Sci., submitted] by using lubrication approximation.
The kinetic part is solved in general by a graphical method.
It is emphasized how it amounts to a control problem, which can be solved in a general way by some appropriate optimization approach.
However, the problem of contention between bursts is hard to be solved in OBS networks with general topology.
This model can be solved in closed form, yielding some general results regarding the stability of the system, particularly for the effects of the blade rotor interaction and of blade damping.
Register allocation is NP-complete in general but can be solved in linear time for straight-line programs where each variable has at most one definition point if the bank of registers is homogeneous.
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