Research & Reviews: Discrete Mathematical Structures
Volume 10, Issue 3 (2023)
Published
Table of contents
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On Pell Functions and Pell Numbers
Abstract: Number sequences have been studied by many scientists for many years because they find applications in nature and many branches of science. The most well-known number sequence among these integer sequences is the Fibonacci sequence. Later, these integer sequences were generalized and many number sequences were defined and their properties were examined. One of these is Pell number sequences. Pell numbers can be calculated in a way similar to the …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 10, Issue 3, 2023 · pp. 1–9 Read article
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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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Creating a New Coding and Decoding Algorithm Based on Violin Notes
Abstract: Throughout history, people have sent their messages using encryption so that only the person they want can read them. Today, thanks to the internet and other communication networks, data can be transmitted and accessed worldwide. For this reason, it is of great importance that digital data is transmitted correctly to the other party and in a stronger, higher quality and more secure way during transmission. In this context, developing different …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 10, Issue 3, 2023 · pp. 25–30 Read article
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Graph Theory: Its Importance and Application in Recent development of Science and Engineering
Abstract: Graph Theory is widely used in all the basic sciences including social science, due to its intrinsic simplicity it has got a lot of application in computer science, computer networks, engineering, genetics, data structure etc. Graphs are nothing but mathematical structure that helps in representing our everyday problem in a precise graphical manner. Graph Theory is the area of applied mathematics that deals with the study of objects and the …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 10, Issue 3, 2023 · pp. 31–36 Read article
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Riemannian Metric based Smart Senor for Testing Corona Virus
Abstract: This paper proposes an electronic device based on Riemannian metric for testing corona virus. Hamilton’s evolution equation based sensor presents the nodes of corona virus through the Riemannian metric. The initial position and terminal position of corona virus based interval is defined with respect to the time. This is measured by Riemannian metric. There exists the functional F, which is the probable structure of corona virus and its variant over …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 10, Issue 3, 2023 · pp. 37–42 Read article