The derived control law, which is an explicit function of the reference states and instantaneous positions of obstacles, allows active spacecraft to avoid collision in real-time.
The model gives rise to an 'apparent' surface diffusivity which is an explicit function of temperature and concentration of the adsorbed species.
For a continuous-thrust propulsion system, optimal formation keeping problems near a general Keplerian orbit are formulated with respect to a reference trajectory which is an explicit function of time.
The current numerical model, which was validated by comparison with an analytical model, shows that the effective radial permeability of fracture systems is an explicit function of geometrical parameters of the well and the size distributions of fractures.
In this paper a general theory for calculating the fugacity coefficients of real gases has been developed for the case when the equation of state (EOS) is an explicit function of the pressure, and the composition of the gas phase is given in terms of the mole fractions.
It should be specified that the partial derivative, ∂u 0/∂x, exists only if the material property is an explicit function of x (Anlas et al. 2000).
D t undergoes a phase transition: the distance D cn/2̃ u(c)n, where u is
The Lagrangian formulation is an explicit function of the coordinates (mathbf{{q}}_{i}) and (dot{mathbf{{q}}}_{i}), however, the Hamilton formulation is an explicit function of the coordinates (mathbf {{q}}_{i}) and (mathbf{{p}}_{i}) are the generalized position and generalized momentum, respectively.
For example, in a dynamic dielectric continuum model of the environment, κ is an explicit function of a certain dielectric relaxation time [36].
We therefore studied sympatric, asexual populations using an individual-based model with discrete traits where fitness is an explicit function of resource consumption, and added trade-offs to this model by adding a simple cost-function to the Monod equation.
