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325 articles for “continuity of function”
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Continuity and Limit Value of Functions
Abstract: Limit value is one of the basic concepts of mathematical analysis. The notion of limit value defines continuity, mathematical derivatives and integrals. The limit value of the sequence and the limit value of the function are different. The limit value describes the number to which the value of the function or the value of the member of the mathematical array weighs, when the argument of the function or the index …
Published in Research & Reviews : Journal of Statistics · Vol. 10, Issue 1, 2021 · pp. 1–6 Read article
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Discrete and Continuous Indices
Abstract: Sum or integrals over discrete or continuous topological indices respectively. An analytic formalism is developed for the spectrum of discrete indices that can be completed into a continuum and continuous indices.Cite this ArticleSimon Davis. Discrete and Continuous Indices. Research & Reviews: Discrete Mathematical Structures. 2015; 2(2): 25–37p.
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 2, Issue 2, 2015 · pp. 25–37 Read article
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Heat Transfer Analysis Between Two Aluminium Parallel Plates With Natural Convection
Abstract: As a type of energy, heat can be transferred from heated systems using the natural convection heat transfer method, which has several uses in different industries. Natural convection method of heat conveyance is suitable in many cases due to absent of any external sources like fan. The transfer of this kind of energy can be listed as electrical and electronics equipment, nuclear reactors, domestic convection, dry cooling towers, thermo siphons, …
Published in Journal of Materials & Metallurgical Engineering · Vol. 15, Issue 3, 2025 · pp. 26–34 Read article
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Nanoparticle Chemistry: The Synthesis, Properties and Applications of Polymer and Macromolecule-Based Nanoparticles and Their Composites
Abstract: Nanoparticles have arisen as a transformative branch of materials in chemistry, owing to their unique physicochemical and biological properties that vary from their bulk materials. Various synthesis techniques, including physical (e.g., laser ablation), chemical (e.g., sol-gel, co-precipitation) and biological (e.g., microbial or plant-mediated) approaches, offer control over particle size, shape and surface characteristics. These methods influence the optical, electronic, catalytic and mechanical properties of nanoparticles. Nanoparticles can exhibit high surface …
Published in Journal of Polymer & Composites · Vol. 14, Issue 1, 2026 · pp. 1236–1247 Read article
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Border Security Alert for Soldiers
Abstract: Secure a nation by protecting its people and the country’s borders. Soldiers guarding remote and hostile areas of the border experience very difficult situations when confronted with the possibility of arms and/or people crossing the border without permission and environmental conditions or obstacles that can impede communication. The proposed project titled, “Border Security Alert for Soldiers”, is an attempt to assist soldiers in their border surveillance efforts by using an …
Published in Journal of Microcontroller Engineering and Applications · Vol. 13, Issue 2, 2026 · pp. 24–31 Read article
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Synergistic effect of AlN and 2D-BN Nanoplatelets on Phase Transition Kinetics and Thermal Transport of Eutectic Phase Change Materials
Abstract: High-power-density electronic appliances are in demand to meet the necessity from modern sustainable society. The heat generated with the continuous functioning need to be dissipated to keep electronics cool to retain efficiency and performance. To suppress heat accumulation, surplus heat needs to be controlled by adapting efficient cooling technologies. As an alternative, nanomaterials-enabled phase change materials (PCM)-based cooling is appropriate to curb temperature shoot. This work focuses on developing eutectic …
Published in Journal of Polymer & Composites · Vol. 12, Issue 1, 2024 · pp. 11–16 Read article
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Innovative Design and Fabrication Techniques for an Octawalker: A Comprehensive Study
Abstract: The octawalker is a walking aid that is remote-controlled.We intend to increasesecurity to a new level. In order to benefit our country, we created this initiative using our thoughts. composed of two motors that run on 12 volts DC.DC battery power supply that can be recharged. These checkpoints demand all vehicle traffic to stop. According to Webster, a robot is & an autonomous device that performs functions normally ascribed to …
Published in Journal of Nuclear Engineering & Technology · Vol. 13, Issue 3, 2023 · pp. 30–35 Read article
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Impact of Virtual Reality Training in Rehabilitation of Stroke Patients: A Cross Sectional Review
Abstract: Introduction: Those who receive virtual reality training, they train through digital environment. The new modern technology starts from simple computer to virtually designed audio visual aids. This virtual therapy is the system were patient is exposed to harmless objects and equipment’s which boost their confidence level for better performance. There are so many diseases which are treated under virtual therapy, which includes stroke to achieve muscle power with better control …
Published in Research and Reviews: A Journal of Neuroscience · Vol. 8, Issue 1, 2018 · pp. 16–20 Read article
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Implement Explainable Machine Learning to Improve Conductivity in Polymer-CNT Nanocomposites: Supporting Adaptive, Flexible, and Long-Lasting IoT Wrap-Around Electronics Applications
Abstract: The rapid growth of Internet of Things (IoT) technologies requires electronic components that are adaptable, lightweight, and durable, and that can continue to function well in diverse contexts and circumstances. Polymer–carbon nanotube (CNT) nanocomposites have become interesting choices for these kinds of uses because they are more flexible, conduct electricity better, and can be made to fit specific needs. However, improving conductivity in these heterogeneous systems remains a major challenge …
Published in Journal of Polymer & Composites · Vol. 14, Issue 1, 2026 · pp. 238–254 Read article
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Study of Fire Safety Management for Hospitals in Amravati City
Abstract: Hospitals are considered a place of hope and offers sense of security in the aftermath of a disaster situation. Safe hospitals have symbolic social value; losing a health facility leads to a sense of insecurity and social instability. Disaster-resilient hospitals must be able to protect the lives of patients and staff and continue to function. Hospitals need to ensure structural safety, non-structural safety and functional safety. The responsibility to take …
Published in Journal of Industrial Safety Engineering · Vol. 2, Issue 3, 2015 · pp. 17–16 Read article
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The Role of Biodiversity Conservation in Achieving Ecosystem Sustainability
Abstract: Biodiversity is crucial for ensuring that ecosystems remain sustainable, as it underpins their functioning and the services they provide. The present study aims to understand the role of biodiversity in ecosystem sustainability, examine the effects of biodiversity loss on ecosystem services, highlight the long-term benefits of biodiversity conservation, and support biodiversity conservation as a key approach for sustainable ecosystem management. This study is based on a review and synthesis of …
Published in International Journal of Sustainability · Vol. 3, Issue 2, 2026 · pp. 47–53 Read article
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Certain Results Involving Ramanujan’s Theta Functions
Abstract: In this present work, our main aim is to obtain “certain results involving Ramanujan’s theta functions”. In this paper, we have evaluated Ramanujan’s theta functions by making use of certain modular equations due to Ramanujan. Using these values of theta functions, we have also evaluated Ramanujan’s cubic continued fraction and Ramanujan–Weber class invariants Gn and gn.Keywords: Ramanujan’s theta functions, modular equations, Ramanujan–Weber class invariants, Ramanujan’s cubic continued fraction, Modular identitiesCite …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 1, 2020 · pp. 6–15 Read article
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The Role of SCADA in Detecting Electric Faults in the Wind Turbine System: A Review
Abstract: A wind turbine is a machine which utilizes the kinetic energy of air to convert it into rotational energy. To generate the electricity, this rotational energy is transferred to the generator shaft. Whenever a fault occurs in the wind energy system, it decreases the system efficiency. During such abnormal conditions in a wind turbine system, the faults are detected through manual and/or automated system namely, SCADA. The control functions of …
Published in Journal of Power Electronics and Power Systems · Vol. 13, Issue 1, 2023 · pp. 16–24 Read article
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Implementing Theory ofConstraints in an Indian SME: A Bearing Rings Manufacturing Machine Shop
Abstract: The Goal by Goldratt and Cox (1984) inspiring study, ‘Theory of Constraints’ has merged from simple production scheduling technique into management philosophy with best practices in profit optimization in operations management. This research work presents a case study of ‘Theory of Constraints’ in an Indian SME in a bearing races manufacturing machine shop. Machine shop is equipped with state of the art with CNC turning machines. In this machine shop, …
Published in Trends in Mechanical Engineering & Technology · Vol. 11, Issue 2, 2021 · pp. 31–40 Read article
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An Approach to Simplify Universal Logic Gates Using Majority Function
Abstract: There has always been a continuous urge to reduce power consumption in very large scale integration (VLSI) circuit design. Sometimes reduction in the total number of transistors in a fundamental logic gate helps to enhance power saving. But, there stands a tradeoff in between power, delay and size of the chip. Static and dynamic power gets escalated as the device dimension is scaled down and vice versa. In our approach, …
Published in Research & Reviews : Journal of Physics · Vol. 12, Issue 3, 2023 · pp. 28–41 Read article
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A Short Review on Application of Fish Proteins in Functional Foods
Abstract: Functional foods contain specific nutrients that have beneficial physiological benefits, such as lowering the risk of chronic diseases and improving overall health. Functional foods are created by adding additives that have been shown to enhance health. This review article investigates several fish-derived products as functional dietary components, with an emphasis on fish protein hydrolysates (FPH), fish protein concentrate (FPC), fish collagen, fish gelatine, fish enzymes, fish protein powder (FPP) and …
Published in International Journal of Marine Life · Vol. 1, Issue 2, 2024 · pp. 7–16 Read article
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Dissipative Particle Dynamics Simulation Study on the Evolution of Photoinitiated Free Radical Polymerization Crosslinked Networks
Abstract: Gradient polymer materials overcome the limitations of conventional homogeneous polymers by integrating multiple distinct functionalities within a single continuous structure. Although photoinitiated free-radical polymerization offers excellent spatial and temporal control, the underlying microscopic mechanisms governing network evolution under non-uniform light fields remain poorly understood. In this study, a mesoscale dissipative particle dynamics (DPD) model was successfully developed to couple free-radical polymerization kinetics—including initiation, propagation, crosslinking, and termination—with exponential light attenuation …
Published in Journal of Polymer & Composites · Vol. 14, Issue 4, 2026 · pp. 142–158 Read article
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Paraphenylenediamine Poisoning: A Review of Literature
Abstract: Any substance dangerous to living organisms when either applied internally or externally, destroy the action of vital functions or prevent the continuance of life is known as poison. Cosmetics, medicines, and other household items could lead to a serious poisoning if accidently consumed by children. The home environment is the primary location of most poisonings, with over 90% of reported poisonings occurring at home. Most non-fatal poisonings occur in children …
Published in Research and Reviews: A Journal of Toxicology · Vol. 3, Issue 3, 2013 · pp. 17–24 Read article
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Matrix Law of Current
Abstract: In this study, the current is defined over matrix. The proposed matrix law of current corresponds with the existing Ohm’s law of current. Thus, the new law of current comprises with the characteristics of matrix. The matrix representation of current provides the compact law for both the types of current, i.e. Alternative Current (AC) and Direct Current (DC). The element of matrix represents the position of electron. Thus, the corresponding …
Published in Research & Reviews : Journal of Physics · Vol. 10, Issue 1, 2021 · pp. 24–29 Read article
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Continuity
Abstract: Let us assume there exists a Clairaut function. K.O. Harris (2005) and Z.N. Gauss et al. (2002) address the connectedness of globally admissible equations under the additional assumption that |ƴ|⊂D. We show that λ is geometric. Unfortunately, we cannot assume that |L|<ε. It is not yet known whether Dirichlet's conjecture is false in the context of Hippocrates, j-embedded algebras, although K.O. Harris (2005) and C. Anderson (2001) does address the …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 1, 2020 · pp. 23–27 Read article