In the first phase, the user specifies the required functions and decomposes them independent of any physical behavior or system structure.
Let g denote the logarithm of a main demand aggregate that is decomposed into two subaggregates.
The following theorem proves that, up to equivalence, it can be decomposed as a filling propagator followed by a fractioning one.
Of present relevance is the idea that the sonority hierarchy can be decomposed into several subhierarchies, each consisting of just two members.
Using the approach, the dynamics of a flexible manipulator can be decomposed into two subsystems, namely, a slow subsystem and a fast subsystem.
The approach is based on decomposing motion planning into two stages: an on-line path planning stage and an off-line pre-processing stage.
The trajectory planning problem can be decomposed into a geometric path planning problem and a velocity planning problem.
After decomposing the exponential operator, an average is taken over the ensemble of dpz0 t !