Results 11 to 20 of about 222,312 (289)
Analytical descriptions of quantifier solutions to interval linear systems of relations
Mathematics Open, 2022 We study systems of relations of the form [Formula: see text], where [Formula: see text] is a vector of binary relations with the components “[Formula: see text]”, “[Formula: see text]”, and “[Formula: see text]”, while the parameters (elements of the ...
Irene A. Sharaya, Sergey P. Shary
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Confidence Intervals for Stochastic Arithmetic [PDF]
ACM Transactions on Mathematical Software, 2021 Quantifying errors and losses due to the use of Floating-point (FP) calculations in industrial scientific computing codes is an important part of the Verification, Validation, and Uncertainty Quantification process. Stochastic Arithmetic is one way to model and estimate FP losses of accuracy, which scales well to large, industrial codes.
Sohier, Devan +5 more
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A Decomposition Approach to Type 2 Interval Arithmetic
International Journal of Applied Mathematics and Computer Science, 2020 The classic interval has precise borders A=[a_,a¯]A = \left[ {\underline{a},\bar a} \right]. Therefore, it can be called a type 1 interval. Because of great practical importance of such interval data, several versions of type 1 interval arithmetic have ...
Piegat Andrzej, Dobryakova Larisa
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Journal of the ACM, 2001 We start with a mathematical definition of a real interval as a closed, connected set of reals. Interval arithmetic operations (addition, subtraction, multiplication, and division) are likewise defined mathematically and we provide algorithms for computing these operations assuming exact real arithmetic.
Hickey, T., Ju, Q., Van Emden, M. H.
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Impact Analysis and Calibration Methods of Excitation Errors for Phased Array Antennas
IEEE Access, 2021 Phased array antennas have played a very important role in many different areas and applications. It requires precise excitation of each antenna element by various synthesis techniques to obtain desired array pattern features.
Guolong He, Xin Gao, Rentian Zhang
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A family of eight-order interval methods for computing rigorous bounds to the solution to nonlinear equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 One of the major problems in applied mathematics and engineering sciences is solving nonlinear equations. In this paper, a family of eight-order interval methods for computing rigorous bounds on the simple zeros of nonlinear equations is presented.
M. Dehghani-Madiseh
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A Review and Perspective on Neutrosophic Statistical Process Monitoring Methods
IEEE Access, 2022 We review the literature on statistical process monitoring methods based on neutrosophic principles. We question some of the underlying assumptions and raise important questions about these and other neutrosophic statistical methods that need to be ...
William H. Woodall +2 more
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Quasi-arithmetic means and OWA functions in interval-valued and Atanassov's intuitionistic fuzzy set theory [PDF]
, 2011 In this paper we propose an extension of the well-known OWA functions introduced by Yager to interval-valued (IVFS) and Atanassov’s intuitionistic (AIFS) fuzzy set theory.
Deschrijver, Glad
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Generalizing the Real Interval Arithmetic
Trends in Computational and Applied Mathematics, 2002 In this work we propose a generalized real interval arithmetic. Since the real interval arithmetic is constructed from the real arithmetic, it is reasonable to extend it to intervals on any domain which has some algebraic structure, such as field, ring ...
R. CALLEJAS-BEDREGAL +2 more
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Is an interval the right result of arithmetic operations on intervals?
International Journal of Applied Mathematics and Computer Science, 2017 For many scientists interval arithmetic (IA, I arithmetic) seems to be easy and simple. However, this is not true. Interval arithmetic is complicated. This is confirmed by the fact that, for years, new, alternative versions of this arithmetic have been ...
Piegat Andrzej, Landowski Marek
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