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The traditional Needleman-Wunsch algorithm [ 2] and its variants can be easily formulated as a special case of alignment with PHMMs (we call this approach Viterbi decoding).
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For note that although this statement originates in theoretical computer science, it may be easily formulated as statements about natural numbers.
The generative model for BSS in this case can be easily formulated as x [ i ] = H · s [ i ] + ν [ i ] (74).
Referring to (3) and (5), the received signal at can be easily formulated as y d,e k = λ s H sd,e k x s,e k + H r 1 d k x r 1 k + n d,e k. (6).
The main contribution of this paper is the fact that the state feedback gain synthesis is formulated as a more easily tractable condition and this is achieved by the application of the multiconvexity concept and the introduction of a slack variable.
Utilizing this general expression, the arch shape can be easily formulated for a beam subjected to various types of loadings, such as uniform loaded beams or eccentrically loaded columns, on condition that an appropriate α is known.
Our method of computation is most easily formulated using a conformal map from the fluid domain into a unit disk.
It is shown that various equilibrium shapes can be easily found by solving a forced-deformation analysis problem formulated as a minimization problem considering the nodal coordinates as design variables.
Moreover, the model can be formulated as a liner programming problem, which can be easily solved by the technique software.
This problem can be formulated as a binary integer programming problem, which can be solved easily.
The proposed fault estimation observer is able to attenuate the effect of the fault variation and measurement noise and the observer design is formulated as a Linear Matrix Inequality (LMI) feasibility problem, which can be easily solved.
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