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On kempisty's generalized continuity

Rendiconti del Circolo Matematico di Palermo, 1985
\textit{S. Kempisty} introduced the notion of quasicontinuity [Fundam. Math. 19, 184-197 (1932; Zbl 0005.19802)] and showed its importance in problems involving separate versus joint continuity. The authors study an analogue of symmetric quasicontinuity of a function defined on the product of three spaces. Several earlier results are generalized.
Lee, J. P., Piotrowski, Z.
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Generalized topology, generized continuity

Acta Mathematica Hungarica, 2002
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Continuous test generation

Proceedings of the 29th ACM/IEEE International Conference on Automated Software Engineering, 2014
In object oriented software development, automated unit test generation tools typically target one class at a time. A class, however, is usually part of a software project consisting of more than one class, and these are subject to changes over time. This context of a class offers significant potential to improve test generation for individual classes.
José Campos   +3 more
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Generalized continued fractions

Applied Mathematics and Computation, 2000
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Generalization of continued fractions. I

Journal of Mathematical Sciences, 2012
We constructed a new algebraic object, namely, recursion fractions of the n th order that are n -dimensional generalizations of continued fractions. For the representation and the study of such fractions, we used paradeterminants and triangular matrices.
D. I. Bodnar, R. A. Zators’kyi
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Generalized continued fractions

Discrete Mathematics and Applications, 1998
The author considers a generalized continued fraction whose expression has the form \[ a_0+\frac{(-1)^{u_1}}{a_1+{\displaystyle \frac{(-1)^{u_2}}{a_2+{\displaystyle \frac{(-1)^{u_3}}{a_3+\dots}}}}}, \] where \(a_i\in\mathbb R\) (\(i=0,1,2,\dots\)) and \(u_i\in\{0,1\}\) (\(i=1,2,\dots\)). In this paper the concept how to represent a real number \(\alpha\
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Continuous logic – II. Main generalizations

Kybernetes, 2000
Outlines the basic results in the generalization of continuous‐valued logic. The survey is based on Russian publications. We consider an order logic, which is a generalization of continuous‐valued logic where operations of maximum selection (disjunction) and minimum selection (conjunction) are substituted with operation of selection of rth order ...
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Generalizations of the Continuous Logic

Automation and Remote Control, 2001
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Continuous Generalizations of Chebyshev’s Inequality

Theory of Probability & Its Applications, 1958
Let $x(t)$ be a random function with known ${\bf E}[x(t)]$ and ${\bf E}[x(t)x(s)]$, $0 \leqq s$, $t \leqq 1$. In Section 3 a bound is given for the probability that $|x(t)|$ exceeds the given function $\alpha (t)$ at least for one t. The bound involves an arbitrary quadratic form, which can be selected in an appropriate way giving certain bounds (see ...
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Generalized Quasi-Variational Inequalities Without Continuities

Journal of Optimization Theory and Applications, 1997
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