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2 publications

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    Detecting Electronic Circuitboard Thermal Abnormalities with Dynamic Hypernumbers

    By M. Burgin, A. Dantsker, William Pryor

    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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    Defining Regression Polynomials with Process Similarity Criteria

    By A. Dantsker, J. Brito, W. Pryor

    Abstract: Highly accurate monitoring and prediction is essential in detecting abnormality events and forecasting demands in supply chains. This investigation provides a computational procedure for defining polynomials that satisfy similarity criteria in the monitoring process for a polynomial of any degree. It provides an example of using algorithms to predict transient thermal processes in electronic devices. The second-degree polynomial defined with this algorithm is compared with a polynomial defined using a …

    Published in Research & Reviews: Discrete Mathematical Structures · Vol. 10, Issue 2, 2023 · pp. 13–20 Read article

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