For every real-analytic CR-manifoldM we give necessary and sufficient conditions thatM can be realized in a suitable neighbourhood of a given point a ∈ M as a tube submanifold of some C . We clarify the question of the ‘right’ equivalence between two local tube realizations of the CR-manifold germ (M,a) by introducing two different notions of affine equivalence. One of our key results is a proc...

in this paper, we define the concepts of a complex fuzzy subset and a complex fuzzy finite state automaton. then we extend the notion of a complex fuzzy finite state automaton and introduce the notion of a general complex fuzzy automaton. after that we define the concept of a max- min general complex fuzzy automaton and construct some equivalence relations and some congruence relations in a max...

Methods for estimating equivalence scales usually rely on rather strong identifying assumptions. This paper considers a partially identifi ed estimator for equivalence scales derived from the potential outcomes framework and using nonparametric methods for estimation, which requires only mild assumptions. Instead of point estimates, the method yields only lower and upper bounds of equivalence s...

the paper presents results of experimental studies on the methane and propane ignition process in various volumetric compositions of oxidizers heated to temperatures higher than ignition point of analyzed fuels (htac conditions–high temperature air combustion conditions). the increment of temperature dt and the ignition delay time tig are parameters characterizing the process of ignition under ...

Outcomes: Primary outcome was phlebitis during use or within 48 hours of catheter removal. Phlebitis was defined as simultaneous presentation of ≥ 2 of the following: patient-reported pain or tenderness, with severity ≥ 2 on a 10-point scale; erythema extending ≥ 1 cm from insertion site; swelling extending ≥ 1 cm from insertion site; purulent discharge; or palpable venous cord beyond the cathe...

In this paper we study the equivalence problem with the first Painlevé equation y = 6y + x (resp. the second Painlevé equation y = 2y + yx+ α) under the action of fiber-preserving and point transformations. More specifically, we explicitly compute the change of coordinates that maps the generic second order differential equation to the Painlevé first equation (resp. the Painlevé second equation...

The essential point will be the equivalence of the norm of the error, which should be estimated, and a corresponding dual norm of the residual which only involves the given data of the problem and the computed numerical solution. This equivalence is a consequence of the stability of the infinite dimensional variational problem. Thus, in a posteriori error analysis the situation is quite differe...

This paper studies correction for chance for coefficients that are linear functions of the proportion of observed agreement. The fixed points of the correction for chance function are characterized. An equivalence relation on the set of linear functions is defined and it is shown that each linear function is mapped to the unique fixed point in its equivalence class. keywords: Chance-corrected c...

The paper presents ALASKA, a multi-layered platform enabling to perform ontological conjunctive query answering (OCQA) over heterogeneously-stored knowledge bases in a generic, logic-based manner. While this problem knows today a renewed interest in knowledge-based systems with the semantic equivalence of different languages widely studied, from a practical view point this equivalence has been ...