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We derive a tip angle dependent higher order constraint on the solution at the tip and show this to be a very useful validation criterion.
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Biologically, this serves as a reasonable approximation of some important evolutionary constraints on RNA secondary structure alignment, although it neglects higher order constraints, including pseudoknots and tertiary structure.
With increasing stress levels, the higher-order constraint can be suppressed in order to mimic grain boundary relaxation mechanisms.
Consideration of crystallographic constraints at various length scales reveals that higher-order constraints play a role in boundary connectivity and network structure.
Here we design an improved numerical algorithm for computing the maximum entropy problem in a two- and higher-dimensional domain with higher order moment constraints.
The linear growth in higher order states with this constraint (proven later) is critical for practical use of the larger footprint size models that will be demonstrated.
The numerical method employs adaptive mesh refinements (AMR) in concert with an efficient semi-implicit time discretization strategy and a linear, multi-level multigrid to relax high order stability constraints and to capture the flow's disparate scales at optimal cost.
This model can be extended for higher order modulation alphabets, larger encoder constraint lengths, and different code rates.
Cleavage at adenosine 207, which is far from the guanosine-binding site in the primary and secondary structure, provides a constraint for the higher order folding of the RNA.
In the proposed algorithm, a certain modulation can be completely switched off because the solution that satisfies P e (l) = δ0 may not exist at all or only higher order modulations may satisfy the BER constraint on the whole SNR region.
The schemes, termed accuracy optimized methods (AOMs), define and solve a quadratic programming problem at each discrete time level to minimize perturbations from higher order accurate methods subject to imposed constraints.
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