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For complex systems such as biological networks, rather than a precise description of the dynamics, which requires a quantity of kinetic details rarely accessible in large scale systems, it is often more reasonable to use a minimal representation, such as a graph of interactions between the molecular variables of interest [ 1- 4] and perhaps a sign describing the mode of the pairwise interaction.
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In this paper we derive the singularity-free dynamic equations of vehicle manipulator systems using a minimal representation.
In this paper we derive the singularity-free dynamic equations of AUV-manipulator systems using a minimal representation.
Linear analysis has been made using normal mode technique, while for weakly nonlinear analysis, we have used a minimal representation of truncated Fourier Series involving only two terms.
The Paul Mitchell Hair Color line does use a minimal amount of ammonia.
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This uses a minimal parameter representation of the kinematic chain, but has some limitations.
Using maximal cliques, this method extracts a minimal representation of the graph that determines the clique complex.
These systems are normally modeled using Euler angles, which leads to singularities, or Euler parameters, which is not a minimal representation and thus not suited for Lagrange's equations.
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