Of particular interest in this avenue of inquiry is incipient buckling of a DS in different segments of a plane circular channel because it adequately depicts the most general regularities of friction forces impact on the buckling phenomena.
For model M1, and under the same general regularity conditions of Vuong (1989), the sample covariance of L R ^ 12, i and L R ^ 13, i, σ ^ 12.13, converges almost surely to Cov[ LR12, LR13] = σ12.13 (and similarly for all other covariance terms).
They point to a general regularity in the design of lexicons and suggest that pragmatic pressures may influence the structure of the lexicon.
The large amount of data on enzyme structures obtained to date allow us to discuss general regularities in the formation of catalytic centres of enzymes.
An impressive and growing body of research has attempted to discern general regularities in the multitude of conversational implicature conventions associated with a language.
As can be seen from the above examples, despite wide range of communication modes, there are indications of general regularities in the way we express our thoughts and emotions to other people.
Under general regularity conditions, the asymptotic distribution of ((widehat {boldsymbol {theta }}-{boldsymbol {theta }}), text {is}, N_{p+2}left (0,I({thetaymbol {theta }})^{-1}right)), where I is the expected information matrix.
Under general regularity conditions, the asymptotic distribution of ((widehat {boldsymbol {theta }}-{boldsymbol {theta }})) is multivariate normal (N_{p+3}left (0,K({thetaymbol {theta }}right)^{-1})), where K is the (p+3)×(p+3) expected information matrix.
And once one starts talking about types of mechanisms, one is back in the business of formulating general regularities about how mechanisms work.
Although the number of investigation locations is few, the general regularity acquired by theoretical and case analysis can still be referred to by similar studies.
Using this general regularity result paired with an ε-regularity theorem we provide a new estimate of the Minkowski dimension of the set of higher multiplicity points of a Dir-minimizing Q-valued function.
