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436 articles for “Generating functions”
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New Number Sequences Obtained with Grouping of Fibonacci Numbers
Abstract: AbstractThe relations of the sum and difference of two Fibonacci numbers, in which the difference of subscripts is even, was given by Koshy. In this study, the relations of the sum and difference of two Fibonacci numbers, in which is the difference of subscripts is odd, is introduced by using the generating functions. Similar results are given for Lucas numbers. Also, two new family of Fibonacci numbers are obtained. Keywords: …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 3, 2020 · pp. 27–35 Read article
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A Study on a Single Server Batch Arrival General Bulk Service Queueing System
Abstract: AbstractThis paper deals with the transient and steady state behavior of a single server batch arrival bulk service queueing system. A batch of customers arrives according to a Poisson process, whereas the bulk service is rendered by a single server with a minimum batch size of ‘a’ and maximum of ‘b’. The service time follows a general distribution. Probability generating function of the distributions and , under equilibrium has been …
Published in Current Trends in Information Technology · Vol. 7, Issue 3, 2017 · pp. 1–8 Read article
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Research on Synchronous Generators AC Excitation Regulation Control System
Abstract: Based on various methods to supply excitation power to the synchronous generator it is categorized in three different types of excitation systems for synchronous motor. The first one is DC excitation system, second is AC excitation system and third one is static excitation system. The increasing size of contemporary power systems ensures system dependability and stability. A better supply of power is vital and has a big influence on improving …
Published in International Journal of Electrical Power and Machine Systems · Vol. 2, Issue 2, 2024 · pp. 10–16 Read article
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Biopolymer Hydrogels: Patent Insights and Emerging Technological Trends
Abstract: Hydrogel biopolymers have become a valuable resource for next-generation functional materials due to their inherent properties, including compatibility with biological systems, environmental degradability, and minimal toxicity. Intelligent gels that respond to changes in temperature, pH, or ionic strength have various applications across industries like pharmaceuticals, biomedical engineering, and the food sector. This review systematically compiles findings from patent disclosures and non-patent literature to highlight recent trends in biopolymer-based hydrogel research, …
Published in Journal of Polymer & Composites · Vol. 14, Issue 2, 2026 · pp. 916–924 Read article
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Semiring-Weighted Automata and Recursive Path Counting for Multi-State Reliability in Discrete Infrastructures
Abstract: Multi-state infrastructures such as communication backbones, microgrids, warehouse routing systems, and sensor-actuator pipelines evolve through discrete event sequences rather than through a single binary "working/failed" transition. This paper develops a semiring-weighted automata framework for reliability analysis in which state changes, repair actions, and degraded operating modes are represented by weighted transitions on a finite automaton. A path valuation is defined over an additively idempotent reliability semiring and extended to a …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 13, Issue 2, 2026 · pp. 30–36 Read article
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APPLICATIONS OF VIRTUAL INSTRUMENTATION IN DIFFERENT DOMAINS OF EMBEDDED SYSTEMS
Abstract: This research work has intended to identify the clusters of embedded systems where the application ofvirtual instrumentation concept can be used; one can apply the concept of virtual instrumentation fordeveloping different applications of signal and image processing, automotive, mechatronics, control andsimulation, embedded software designing, HDL & microprocessor coding etc. The graphical tool used invirtual instrumentation such as LabVIEW can be used for designing various applications of differentembedded system domains. With …
Published in Journal of Control & Instrumentation · Vol. 1, Issue 1-2-3, 2011 · pp. 19–24 Read article
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Secure Data Processing and Transmission Using Machine Learning Techniques
Abstract: The amount of data created by smart devices has drastically increased in recent years as a result of the quick technological improvements in those devices and their use in a variety of applications. As a result, the big data (BD) created by various devices may be too much for typical data analytics tools to handle. However, this exponential expansion of data provides numerous types of attackers with new chances to …
Published in Journal of Telecommunication, Switching Systems and Networks · Vol. 9, Issue 3, 2022 · pp. 22–30 Read article
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A Framework for Test Data Generation Using Genetic Algorithm
Abstract: Software testing is one of the best methods to increase the confidence of the programmers in terms of correctness, quality and reliability of software. The testing effort is divided into three parts: test case generation, test execution, and test assessment. The goal of software testing is to design a set of minimal number of test data such that it reveals as many faults as possible. This paper proposed a framework …
Published in Journal of Advanced Database Management & Systems · Vol. 3, Issue 1, 2016 · pp. 18–25 Read article
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Design of Triple Rocker Four Bar Mechanism and Spiral Spring as Suspension for the Planetary Rover Prototype
Abstract: Now-a-days rovers plays important role in space organizations for the space explorer like NASA, ISRO, whereas Enter and perform required operation in the no-man entry region like space, medical requirement, Underground, mining, and military actions. These need to flexible towards up and Down surfaces to tilt itself and adjust to move over surface obstacles on that Region and isolate as automatic autonomous Suspension. This paper reveals about the design of …
Published in Journal of Aerospace Engineering & Technology · Vol. 12, Issue 3, 2022 · pp. 16–26 Read article
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Revolutionizing Form and Function: Exploring 4D Printing as a Novel Manufacturing Approach for Complex Generative Structures and Customized Formworks
Abstract: This research delves into the transformative potential of 4D printing manufacturing technology, focusing on its innovative application in fabricating intricate generative and computational structures for adaptable formwork in both individualized and mass-customized scenarios. Spanning the interdisciplinary realms of digital design, digital fabrication, and material science, the study comprehensively explores the integration of these diverse fields. Utilizing generative algorithms and parametric design tools, the research employs simulations to realize complex patterns …
Published in International Journal of Manufacturing and Production Engineering · Vol. 1, Issue 2, 2023 · pp. 41–50 Read article
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Data Encryption Standard with Key Generation
Abstract: This document presents a 64-bit approach to the obsolete encryption of Data Encryption Standard. Since symmetrical block encryption has already reached its peak, many hackers have devised many methods to decrypt encryption and get the plaintext message, mainly through brute-force attacks. To improve security, authors generate the 64-bit key generated by the random function. Random unification generates the key in the form 0 and 1. Even the size of different …
Published in Recent Trends in Parallel Computing · Vol. 6, Issue 2, 2019 · pp. 44–47 Read article
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Reactive Power Pricing Technique in A Competitive Market
Abstract: For maintaining voltages of each bus within specific range, proper reactive power support is mandatory. Reactive power is considered as an ancillary service in the restructured electricity market, hence it is price based service and controlled by ISO. Here, a modified optimal power flow (OPF) optimization method is proposed over the bids received from Gencos and to maintain the system security and stability subject to the constraints imposed by different …
Published in Trends in Electrical Engineering · Vol. 6, Issue 3, 2016 · pp. 89–100 Read article
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A Review on Deviation Function Method
Abstract: This review paper covers the method to develop a lobe rotor pair profile used in many mechanical mechanisms. Lobe rotor pairs are conjugate generated pairs. It means that for each lobe there exists a corresponding another lobe such that for each point on first lobe there is a point on another lobe having same velocity. Deviation function method is widely used to develop a lobe profile. Deviation function method is …
Published in Trends in Mechanical Engineering & Technology · Vol. 5, Issue 2, 2015 · pp. 28–33 Read article
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Photovoltaic: Environmental, Health and Safety Issues
Abstract: Photovoltaic (PV) technologies have many environmental advantages over conventional technologies for generating electricity. The function of PV systems is silent one, without any toxic gas emissions, or greenhouse gases. PV electricity generation—apart from of which technology is used—is a zero-emissions performing practice. PV technology is very much related with the electronic industry where we can find a number of social impacts throughout the supply chain from raw material mining to …
Published in Journal of Energy, Environment & Carbon Credits · Vol. 5, Issue 3, 2015 · pp. 8–12 Read article
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Design and Development of Pedalled Powered Electricity Generation
Abstract: Pedal power energy harvesting transforms the mechanical energy produced by pedalling into electrical energy, which can be used to operate devices or saved for future use. The strategy utilizes the physical exertion of pedalling to generate a reliable and eco-friendly energy source. This project aims to develop, construct, and demonstrate a functional mechanism. The generator utilizes the motion of pedalling a regular bicycle to generate electricity. The main goal of …
Published in Journal of Alternate Energy Sources & Technologies · Vol. 16, Issue 1, 2025 · pp. 30–36 Read article
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Crystal Defects and Their Characterization in Modern Materials Science
Abstract: The physical and chemical properties of crystalline solids are fundamentally dictated by deviations from structural perfection, known as crystal defects. From the point-scale vacancies that drive diffusion to the planar boundaries that determine mechanical strength, defects serve as the primary "tuning knobs" in material design. This review provides a comprehensive examination of point, line, and planar defects, exploring their formation energetics and their role in plastic deformation via crystallographic slip. …
Published in International Journal of Crystalline Materials · Vol. 3, Issue 1, 2026 · pp. 15–19 Read article
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Solving Economic Load Dispatch Problems through Moth Flame Optimization Algorithm
Abstract: AbstractThis paper proposes the nature-inspired moth flame optimization (MFO) algorithm to solve the economic load dispatch (ELD) problem of power system. The ELD is a concept where the committed generating units are scheduled to meet the total power demanded by the residential area. The ELD problems are solved by the optimization process of the objective function, hence optimization is done by minimizing the total fuel cost function of the generating …
Published in Journal of Semiconductor Devices and Circuits · Vol. 3, Issue 3, 2016 · pp. 25–33 Read article
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Cryptosystem Based on Fuzzy Theory
Abstract: This paper proposes a cryptosystem whose security comprises with the membership function of fuzzy. The security lies with the linguistic and numeric representation of information and its transformation by fuzzy. The one way hash function is substituted to membership function. The key generation and encryption comprises with fuzzy set and fuzzy logic respectively. Thus, the proposed system provides the security against all attacks by linguistic transformation rather than numeric representation. …
Published in Journal of Open Source Developments · Vol. 7, Issue 2, 2020 · pp. 7–14 Read article
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Fuzzy and Cryptosystem
Abstract: Zadeh’s theory of fuzzy for grading the objects is reviewed in this paper under the context to develop the cryptosystem. This paper proposes a cryptosystem whose security comprises with the membership function of fuzzy. The security lies with the linguistic and numeric representation of information and its transformation by fuzzy. The one way hash function is substituted to membership function. The key generation and encryption comprises with fuzzy set and …
Published in Journal of Advancements in Robotics · Vol. 7, Issue 2, 2020 · pp. 1–8 Read article
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Therapeutic Effect of PEGylated Phytosomes Loaded with Herbal Drugs for Treating Paediatric Leukaemia
Abstract: To treat pediatric leukemia, this study evaluated a co-encapsulated pegylated phytosome system based on herbal anti-cancer medications. In this study, herbal drug-soy lecithin complex-loaded phytosomes were prepared as drug carriers to overcome the limitations of natural drugs like poor absorption, low oral bioavailability, poor aqueous solubility, and so on. This is a targeted nano-drug delivery that enhances the absorption and bioavailability of the herbal drug used. In this study, herbal …
Published in Nano Trends – A Journal of Nano Technology & Its Applications · Vol. 24, Issue 3, 2022 · pp. 48–69 Read article