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2 articles for “constructive hypernumber”
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Detecting Electronic Circuitboard Thermal Abnormalities with Dynamic Hypernumbers
Abstract: This paper introduces the algebra of data acquisition using dynamic hypernumbers used in predicting thermal abnormalities with a rapid forecasting algorithm. Algebraic rules are defined for monitoring data from multiple sources. Each data source is considered a dynamic receptive synchronized hypernumber for building the resulting dynamic hypernumber. The algebraic dynamic hypernumberdefinition is used to present a low-complexity algorithm for identifying the thermal state of an electronic circuit board. The algorithm …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 10, Issue 3, 2023 · pp. 10–24 Read article
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Hyperspaces and Superspaces: Linearity and Boundedness
Abstract: Continuing the previous research, we analyze constructions of hyperspaces and superspaces elaborating classifications of such spaces. The main emphasis is on linear hyperspaces, which are formed over linear spaces with additional structures such as norms and seminorms. Linear hyperspaces are constructed over multiseminormed linear spaces and their properties are studied. In particular, it is demonstrated that a linear hyperspace over a multiseminormed linear space is a multihyperseminormed linear space. This …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 9, Issue 2, 2022 · pp. 11–27 Read article