Derive expressions for the work done by the system for each process.
We derive expressions relating uncertainties in atmospheric properties to uncertainties in frequency shift.
In addition, we analyze and derive expressions for the case of very small buffer.
Extending the hydrodynamic based analogy used to develop the analytical plate penetration model to include fragmentation processes, we derive expressions relation fragmentation to plate impact and penetration.
Optimally designed alarm systems In this work, we derive expressions for probabilities of detecting alarms with various delays when on-delay timer is used.
The solutions were used to derive expressions for the length scale over which the induced flow nonuniformities are dissipated within the column.
We also discuss the effect of fluctuating environment on dynamical behavior of a corresponding stochastic delayed-differential algebraic system andelayed-differential algebraicsystem of populandon fluctuations.
The analytical methods derive expressions to estimate the relation between the plastic deformation and the crushing force of the double-hull structures.
Bayesian framework enables one to mathematically derive expressions, while analytical intractability of the Bayes' update step is solved by using structured variational approximation.
Move to detailed discussions of the acceleration & dissipation mechanisms in Hall thrusters, mangetoplasmadynamic thrusters, pulsed plasma thrusters, & inductive plasma thrusters, & derive expressions for the propulsive efficiencies of each of these concepts.
Move to detailed discussions of the acceleration & dissipation mechanisms in Hall thrusters, magnetoplasmadynamic thrusters, pulsed plasma thrusters, & inductive plasma thrusters, & derive expressions for the propulsive efficiencies of each of these concepts.
