Sentence examples for generalized -condition of from inspiring English sources

It is clear that for any the generalized -condition of Takahashi implies the generalized -condition of Takahashi and the generalized -condition of Hamel implies the generalized -condition of Hamel.

For each, the function satisfies the generalized -condition of Takahashi, so satisfies the generalized -condition of Hamel.

For, satisfies the generalized -condition of Takahashi if and only if satisfies the generalized -condition of Hamel.

where In particular, for the case the generalized -condition of Takahashi Hamel is called the generalized condition of Takahashi Hamel.

For any the generalized -condition of Takahashi and the generalized -condition of Hamel are, respectively, weaker than that of Takahashi and of Hamel.

Furthermore, the generalized -condition of Hamel always implies that of Takahashi.

For example, when, the function satisfies the generalized -conditions of Takahashi and Hamel for any but it does not satisfy that of Takahashi nor of Hamel.

Blaikie et al. (1994) and Wisner et al. (2004), for example, used a set of variables to distinguish root causes, dynamic pressures, and unsafe conditions and generated a generalized description of "being affected" of individuals or social groups (as families, households, neighborhoods, or groups as "the poor" or "migrants").

By the help of the generalized Hadamard Thomas conditions of compatibility, the velocities of four types of transient waves are found from the set of dynamic Cosserat equations, and the recurrent equations have been obtained which allow one to determine the discontinuities in the desired values and discontinuities in the arbitrary order time-derivatives of these values on each of four waves.

For thin inhomogeneous coatings, the simplification in the analysis is achieved by application of the mathematical model with generalized boundary conditions of thermomechanical conjugation of the substrate with environment via the coating.

The internet as a generalized space of unattached, floating rage?