Albeit the relationships are derived on the assumptions for hydrodynamic processes, their generality of form and ease of implementation make them a useful first-order description for engineering insight and application over a broad range of velocities.
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Let us again assume a first-order Davis description for a right-hand circularly polarized focused Gaussian beam with λ = 384 nm, ω0 = 3.7 μm propagating along + z.
The class, order, and family description for this species are provided in the supplemental information (Supplemental Text S1).
We introduce a method for characterizing the expressive power of concept expressions in first-order description logics.
A third-order nonlinear dynamical description for the SVC system is developed.
The derived general solution provides the exact third-order interior kinematic description for the plane beam and includes the Levinson/Reddy kinematics as a special case.
The importance of such second-order descriptions has been advocated for some time, primarily by Ginzburg and collaborators [15], [19], [20].
In order to give a quantitative description for the distribution of fragments, a fractal analysis of damage accumulation is made, and a fractal prediction method of fragmentation resulting from rock blasting is presented.
In this paper, in order to introduce a mathematical description for pantographic sheets with perfect pivots and to avoid to face the aforementioned pathologies, a discrete, finite dimensional, Lagrangian model is formulated.
In order to get more accurate mathematical description for off-design condition performance characteristic of compressor and turbine, nonlinear analytical expressions of compressor and turbine are employed instead of polynomial approximate expressions.
