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Interval arithmetic in calculations
Published 2016-10-01“…Interval arithmetic is the mathematical structure, which for real intervals defines operations analogous to ordinary arithmetic ones. …”
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Generalizing the Real Interval Arithmetic
Published 2002-06-01“…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 or group structure. …”
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Using interval arithmetic for providing a MADM approach
Published 2020-03-01Subjects: Get full text
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A Decomposition Approach to Type 2 Interval Arithmetic
Published 2020-03-01Subjects: “…multi-dimensional rdm interval arithmetic…”
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Application of Interval Arithmetic to Production Planning in a Foundry
Published 2017-03-01Subjects: Get full text
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Is an interval the right result of arithmetic operations on intervals?
Published 2017-09-01Subjects: “…interval arithmetic…”
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Application of Interval Arithmetic in the Evaluation of Transfer Capabilities by Considering the Sources of Uncertainty
Published 2009-01-01“…Variations in the load and line parameters are incorporated using the interval arithmetic (IA) method. The IEEE 30 bus test system is used to illustrate the proposed methodology. …”
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Improved Accuracy of Nonlinear Parameter Estimation with LAV and Interval Arithmetic Methods
Published 2009-06-01“…Finally, experimental re- sults will compare the least squares, l2, and the least absolute value, l1, estimates using interval arithmetic in a chemical engineering application.…”
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Numeric estimates of the principal eigenvalue of the p-Laplacian using interval arithmetic
Published 2023-03-01Subjects: Get full text
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A Method for Estimating the Resultant Expanded Uncertainty Value Based on Interval Arithmetic
Published 2024-08-01Subjects: Get full text
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An Interval-Arithmetic-Based Approach to the Parametric Identification of the Single-Diode Model of Photovoltaic Generators
Published 2020-02-01Subjects: Get full text
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An Application of Interval Arithmetic for Solving Fully Fuzzy Linear Systems with Trapezoidal Fuzzy Numbers
Published 2018-01-01“…This new method uses interval arithmetic and two new interval operations ⊖ and ⊘. …”
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The Determination of Sub-boxes Which Might Contain the Global Minimizer(s) Using Interval Arithmetic
Published 1990“…In this paper, a method for obtaining sub-boxes which bound the Kuhn-Tucker point using interval arithmetic is presented. This method is designed such that the generation of too many sub-boxes, as described in section 12 of (Hansen, 1980), is prevented while it is simultaneously used to compute the Lagrange multipliers as described in (Robinson, 1973).…”
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A Rigorous Extension of the Schönhage-Strassen Integer Multiplication Algorithm Using Complex Interval Arithmetic
Published 2010-06-01“…Our solution is to use interval arithmetic to guarantee the correctness of results and determine the hardware's limits. …”
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A Realistic Tolerant Solution of a System of Interval Linear Equations with the Use of Multidimensional Interval Arithmetic
Published 2023-06-01Subjects: “…interval arithmetic…”
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Realistic Optimal Tolerant Solution of the Quadratic Interval Equation and Determining the Optimal Control Decision on the Example of Plant Fertilization
Published 2022-10-01Subjects: “…interval arithmetic…”
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Self-verified extension of affine arithmetic to arbitrary order
Published 2008-05-01Subjects: “…Interval arithmetic…”
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