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Interval arithmetic in calculations
Open Engineering, 2016 Interval arithmetic is the mathematical structure, which for real intervals defines operations analogous to ordinary arithmetic ones. This field of mathematics is also called interval analysis or interval calculations.
Bairbekova Gaziza +3 more
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Mathematics, 2022 Many authors have recently examined the relationship between symmetry and generalized convexity. Generalized convexity and symmetry have become a new area of study in the field of inequalities as a result of this close relationship.
Gustavo Santos-García +4 more
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Function Interval Arithmetic [PDF]
, 2014 We propose an arithmetic of function intervals as a basis for convenient rigorous numerical computation. Function intervals can be used as mathematical objects in their own right or as enclosures of functions over the reals. We present two areas of application of function interval arithmetic and associated software that implements the arithmetic: (1 ...
Duracz, Jan +3 more
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Interval-valued contractive fuzzy negations [PDF]
, 2010 In this work we consider the concept of contractive interval-valued fuzzy negation, as a negation such that it does not increase the length or amplitude of an interval. We relate this to the concept of Lipschitz function. In particular, we prove that the
Bedregal, Benjamin +4 more
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Concerning Nonnegative Valued Interval Functions [PDF]
Proceedings of the American Mathematical Society, 1962 2. Preliminary definitions and theorems. Throughout this paper all integrals considered will be Hellinger [1i type limits of the appropriate sums (the definitions, theorems and proofs of this paper can be extended to "many valued" functions). Thus, if K is a real valued function of subintervals of the number interval [a, b], the existence of f[a,bjK(I)
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Transitivity of interval and fuzzy-interval extensions of interval functions [PDF]
Advances in Intelligent Systems Research, 2015 Let I = [a; b] be a real compact interval and f : I ! I a continuous function. Dene Kc([a; b]) the class of all non empty compact subinterval of [a; b] and let f the natural extension of f to Kc([a; b]), that is to say, f(J) = f(J) for all J 2 I([a; b]). Also, let Fc([a; b]) the class of all fuzzy-intervals with support contained in [a; b] and consider
Yurilev Chalco-Cano +1 more
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Interval oscillation criteria for nonlinear impulsive differential equations with variable delay
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, the interval qualitative properties of a class of second order nonlinear differential equations are studied. For the hypothesis of delay being variable $\tau(t)$, an "interval delay function" is introduced to estimate the ratio of ...
Xiaoliang Zhou, Wu-Sheng Wang
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Two Interval Upper-Bound Q-Function Approximations with Applications
Mathematics, 2022 The Gaussian Q-function has considerable applications in numerous areas of science and engineering. However, the fact that a closed-form expression for this function does not exist encourages finding approximations or bounds of the Q-function.
Zoran Perić +5 more
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Spectral zeta functions of fractals and the complex dynamics of polynomials [PDF]
, 2005 We obtain formulas for the spectral zeta function of the Laplacian on symmetric finitely ramified fractals, such as the Sierpinski gasket, and a fractal Laplacian on the interval.
Teplyaev, Alexander
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International Journal of Computational Intelligence Systems, 2021 It is well known that the concept of convexity establishes strong relationship with integral inequality for single-valued and interval-valued function.
Gul Sana +4 more
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