Sentence examples similar to suitably defined as from inspiring English sources
Quantum-mechanical states correspond exactly to probability measures (suitably defined) on this lattice.
These two scenarios are suitably defined in the framework of our analysis.
The weight function depending on the p-value for the hypothesis that the true underlying effect is zero is defined as with suitably defined constants a and b.
An essential element is a comparison of (suitably defined) burning velocities as obtained using numerical simulation and asymptotic formula obtained previously.
After much technical work, Theorem 5 finally proves that the local approach to the star generalized surface content results in the same quantity as a suitably defined non-Euclidean surface content in terms of an integral defined using a modified standard approach of differential geometry.
Using the same methods as in the trigonometric case and the above results, one can easily obtain direct and converse theorems as well as the wavelet-like representation theorems for characterization of suitably defined global smoothness classes; these results are formulated in [59].
The evolutive equations in plasticity and viscoplasticity are derived as optimality conditions of a suitably defined Lagrangian in a form usually not considered.
As we proceed, we may still obtain the results that robust problem (6) can be reformulated as QCQP or convex program under suitably defined uncertain sets.
The performances of such hands, regarded as mechanical transformers of inputs as forces and speed into outputs as object wrench and displacements, are assessed by suitably defined manipulation indices.
Currently, the most successful approach to steganography in empirical objects, such as digital media, is to embed the payload while minimizing a suitably defined distortion function.
There is necessarily, and within suitably defined areas, a concomitant freedom not to speak publicly, one which serves the same ultimate end as freedom of speech in its affirmative aspect.
