Let us give a proposition relating to Dirichlet eta function first before we move forward to give another theorem.
The next proposition relates the SSOSC and nondegeneracy condition to nonsingularity of Clarke's Jacobian of the mapping defined by (2.11).
Given a reaction term f belonging to a quite large subset of (mathcal {A}), the following proposition relates the corresponding set of the admissible speeds to some bound on f.
The generalization of a proposition relating convexity of the function and the corresponding surface to nonsmooth yield and phase-transformation surfaces is provided in this paper, together with the (necessary to the proof) extension of a theorem on nonsmooth elastic potential functions.
The following proposition relates the definition of optimality in (4.1) and (4.2) with the nonlinear approximation classes in [14 17].
The first proposition relating to the relative role of mortality and fertility in the epidemiological transition has been tested above in the context of the assessment of the demographic transition.
The predicate calculus is to be distinguished from the propositional calculus, which deals with unanalyzed whole propositions related by connectives (such as "and," "if... then," and "or").
Initially, we give the following two propositions related to the category.
Such a theme interprets a proposition associated with a set in terms of other propositions related with the complement set.
Nevertheless, already in Kilwardby's time, some of the propositions in naturalibus were interpreted as aimed at the teaching of Thomas Aquinas, namely those propositions related to his doctrine of the unicity of substantial form.
