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It is proven that the objective function is strictly continuous and differentiable with respect to the piecewise interpolation.
To further validate the design procedure, mathematical derivations have proved that the design sensitivities are strictly continuous.
Since humans' emergence from the pre-cultural and pre-civil states of nature is neither strictly concomitant or parallel, nor sequential, the development of DJN after Book III cannot be strictly continuous in either a topical or historical sense.
Investigations are undertaken for the generalization of results for set-valued measures in particular the Radon-Nikodym theorem for weak set-valued measures [2, 23] and the integral representation for additive strictly continuous set-values maps with regular set-valued measures.
A C∗-dynamical system (A, G, α) is called H-inner if there is a strictly continuous unitary representation v from the closed subgroup H of G into the α-invariant multipliers of A, such that αt = Ad vt for every t in H. Assuming that G is a locally compact abelian group we show that in this case the crossed product G × αA is isomorphic to IndH⊥G(G × αHA).
Although some of the dependent variables were ordered or categorical rather than strictly continuous, other regression techniques, such as ordered probit, yielded similar results (data not presented).
Similar(54)
Let and be two positive -tuples, all 's are not equal and let be strictly monotonic continuous functions, be positive strictly increasing continuous function, where and (3.15).
Let be strictly monotonic continuous functions.
Let (gamma: Ito I) be a strictly increasing continuous function.
Here ω is any strictly positive continuous function on D ¯.
Theorem C Let φ, ψ : I → R be strictly monotone continuous functions.
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