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261 articles for “Derivative function”
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A Mathematical Perspective on Recent Cloud-Computing Trends for Scalable and Secure Social-Media Platforms
Abstract: Cloud computing underpins modern social-media platforms by providing elastic compute, storage, and data-processing pipelines capable of absorbing highly bursty workloads. This paper surveys recent cloud-native trends—serverless and event-driven design, container orchestration, edge/CDN offload, streaming analytics, and privacy-enhancing security controls—and formalizes their impact through a compact mathematical model. We express workload volatility using arrival-rate functions, use queueing-based capacity sizing to derive auto-scaling rules, and formulate an optimization objective that balances cost …
Published in Recent Trends in Mathematics · Vol. 3, Issue 2, 2026 · pp. 35–40 Read article
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Electromagnetic Transients of a Sagging Conductor above Lossy Earth—Effect of its Loading and of the Earth Parameters
Abstract: This paper addresses the electromagnetic transients of a non-uniform overhead transmission line conductor with due consideration of its receiving-end load, its sag and of the earth parameters. The concept of the complex penetration depth is adopted in the formulation of the line’s equations in the s-domain. A relation for the conductor height as a function of the longitudinal co-ordinate is derived and incorporated in the analysis. The two simultaneous differential …
Published in Journal of Power Electronics and Power Systems · Vol. 7, Issue 3, 2017 · pp. 47–59 Read article
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Analysis of M-MRC Receiver over Nakagami-m Fading Channels using Wireless Information and Power Transfer System
Abstract: AbstractThe expression for the performance of Outage probability and Average bit-error rate (ABER), have been presented in this paper, considering an arbitrary branch Maximal Ratio Combining (MRC) Receiver, over Nakagami-m Fading Channels using simultaneous wireless information and power transfer (SWIPT). For the SWIPT system, a Power splitter (PS) at the receiver side has been employed, which splits the received signal into the information transmitter and the energy harvesting parts. A …
Published in Journal of Communication Engineering & Systems · Vol. 9, Issue 1, 2019 · pp. 49–54 Read article
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Advanced Computable Extension of New Fractional Kinetic Equation
Abstract: AbstractThe aim of this work is to find advanced computable extension of kinetic equation with fractional calculus approach. Fractional calculus originated in 1695, shortly after the inversion of classical calculus. The pioneer researchers who studied it were Liouville, Riemann, Leibniz, etc. For a long time, fractional calculus has been regarded as a pure mathematical area without applications. But, in recent decades, such type of synergism has been changed. It has …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 3, 2017 · pp. 74–80 Read article
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Bayesian Analysis of Operating Characteristic Curves of Single Sampling Plans by Attributes under Mixture of Two Binomial Distributions
Abstract: In the current scenario, manufacturing of products in single stream is not enough to meet the needs of consumers and in order to increase the production, two or more streams are required and the lots are formed from various streams. The production unit differs due to input raw materials, machineries, manpower and management, there may be inherent variation among the quality of the products manufactured from different streams. In this …
Published in Research & Reviews : Journal of Statistics · Vol. 7, Issue 1, 2018 · pp. 12s–23s Read article
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Herbal Extract-Infused Biopolymers as Sustainable Film Formers in Skin and Hair Care Products
Abstract: Herbal extracts are becoming increasingly popular in cosmetic formulations. Due to increasing customer demand for natural, sustainable products. This review explores the potential of herbal extract-infused biopolymers as innovative film-formers in skin and hair care applications. Biopolymers, derived from natural sources, offer excellent biocompatibility, biodegradability, and functionality, making them suitable for enhancing the performance of cosmetic products. This article examines various herbal extracts that can be synergistically combined with biopolymers …
Published in Recent Trends in Cosmetics · Vol. 1, Issue 1, 2024 · pp. 1–12 Read article
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Microbial Symphony: Understanding Biochemical Pathways for Precision Medicine and Beyond
Abstract: The human microbiome, an intricate ecosystem of microorganisms inhabiting the body, is a key regulator of host biochemistry and physiology. This review delves into the complex biochemical pathways influenced by the microbiome, spotlighting critical metabolites like short-chain fatty acids, bile acids, and tryptophan derivatives, which impact immune regulation, energy metabolism, and neurobehavioral functions. By examining interactions between the microbiome and the host, including the influence of genetic factors and metabolite-driven …
Published in International Journal of Antibiotics · Vol. 2, Issue 1, 2025 · pp. 28–43 Read article
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Flavonoid Contents and Antioxidant Activity of an Endophytic Bacteria Associated with Medicinal Plant Humulus lupulus
Abstract: Endophytes are symbiotic microorganisms, most often bacteria or fungi, that reside and multiply within plant tissues without inducing visible signs of disease or negatively affecting the host plant. Endophytic bacteria contribute to plant development by stimulating growth, strengthening defence mechanisms, enhancing tolerance to both abiotic and biotic stresses, and facilitating improved nutrient uptake. Endophytic bacteria serve as an important reservoir of bioactive compounds, notably antioxidant molecules, that play a crucial …
Published in Research & Reviews : Journal of Herbal Science · Vol. 14, Issue 3, 2025 · pp. 1–6 Read article
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A New Approach to the Laplace-Domain Transient Analysis of Non-Uniform Lines with Application to Power Line Towers
Abstract: Abstract:This paper presents a new technique for the Laplace-domain analysis ofthe electromagnetic transients in non-uniform lines with special consideration of high voltage power line towers. The derived partial differential equations governing the voltage and current distributions, as functions of both the location and time, are solved by an efficient Mathematica computercode based on parametric functions. The applicability of the proposed direct distributed-parameter simulation is demonstrated. Theresults are in good agreement …
Published in Trends in Electrical Engineering · Vol. 9, Issue 3, 2019 · pp. 1–10 Read article
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Nutrient Sensing and Microbiota Crosstalk: Driving Determinants Shaping Metabolic Stability and Adaptive Physiology for Animal Health
Abstract: Nutrient sensing is a fundamental cellular process that enables animals to adapt to fluctuating dietary inputs while maintaining metabolic homeostasis and health. Recent advances reveal that the gut microbiota functions as an active metabolic partner, producing bioactive metabolites that directly influence host nutrient-sensing pathways and downstream cellular responses. This review synthesizes current knowledge on the integration of key signalling networks, including adenosine monophosphate activated protein kinase (AMPK), mechanistic target of …
Published in International Journal of Molecular Biotechnological Research · Vol. 4, Issue 2, 2026 Read article
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HANKEL TRANSFORMATION FOR THE CHAOTIC BIONANOSTRUCTURES DUE TO Z+ BIS INTAKE: SYMMETRIC FOURIER KERNEL OF THE PERTURBED ORGANIC BIOMECHANICAL SYSTEMS
Abstract: Normal 0 false false false EN-US X-NONE X-NONE MicrosoftInternetExplorer4 In this universe, we observe several BIS processes, which generate intense and far-reaching BIS fields in the human body. BIS means breakdown of integrated systems. BIS load successfully explains several observed phenomena in human traumatology and critically examines the probability of traumatic consequences of individuals having high BIS load. In this paper, the authors have given a generalization of the Hankel …
Published in Journal of Experimental & Applied Mechanics · Vol. 5, Issue 2, 2014 · pp. 19–26 Read article
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Weibull Mixture of Some Sampling Distributions
Abstract: AbstractThe Weibull distribution is extensively used in engineering sectors and biostatisticalfields. In this article, we have proposed the Weibull mixture of some samplingdistributions in which the weight functions are assumed to be chi-square, t andF sampling distributions. Different properties of these proposed distributions have been derived in this paper. The estimators of the parameters of these models using method of moments have also been provided.Keywords and Phrases: mixture distribution, Weibull …
Published in Research & Reviews : Journal of Statistics · Vol. 2, Issue 1, 2013 · pp. 20–25 Read article
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Computable Extension of New Advanced Fractional Kinetic Equation
Abstract: AbstractFirst, we obtain computable extensions of advanced fractional kinetic equation. The aim of this survey is to explore the behavior of physical and biological systems from the point of view of fractional calculus. Fractional calculus, integration and differentiation of an arbitrary or fractional order, provide new tools that expand the descriptive power of calculus beyond the familiar integer-order concepts of rates of change and area under a curve. Fractional calculus …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 2, 2017 · pp. 26–32 Read article
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Thermal Gradient Effect on Frequencies of a Rectangular Plate of Varying Thickness in Both Directions
Abstract: An analysis and numerical results are presented for frequencies of rectangular plates of non-linear thickness variation in x-direction and linearly in y-direction with linearly temperature distribution on the basis of classical plate theory. An approximate but quiet convenient frequency equation is derived by using Rayleigh-Ritz technique with a two term deflection function. Effect of the thermal gradient together with taper constants on the natural frequencies of vibration a clamped rectangular …
Published in Journal of Experimental & Applied Mechanics · Vol. 4, Issue 1, 2013 · pp. 15–20 Read article
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On Uniformly Most Powerful Tests for Truncated Parameters of several One-Parameter-Truncated Family of Distributions
Abstract: In this paper we have obtained Uniformly Most Powerful (UMP) Tests for testing the truncated parameters with its specific value of one-parameter-truncated family of distributions which needs the distribution of order statistics. Having derived these distributions, the UMP tests have been obtained. Further the power functions have been given for different values of the parameters. Also the results of the test and power function have been applied to some specific …
Published in Research & Reviews : Journal of Statistics · Vol. 8, Issue 2, 2019 · pp. 1–9 Read article
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A Literature Survey on Biological Activities of Thiazolidine Derivatives
Abstract: Hetercyclic compounds play a vital role in both chemical and life sciences. Among them ,thiazolidinone represent a significant class, characterized by a five- membered saturated ring containing both sulfur and nitrogen atoms. Structurally, thiazolidinones are derived from thiazole, with sulfur position at the 1-position, nitrogen at the 3-position , and a carbonyl group typically located at the 2-, 4-, or 5- position are possible, though structural and functional diversity is …
Published in International Journal of Cheminformatics · Vol. 3, Issue 2, 2025 · pp. 16–21 Read article
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BIS Processes in the Human Neural Networks and Asymptotic Periodic Solutions of the Evolution Equations in the Brain Nanosystem using Jacobi Elliptic Function
Abstract: Our perseverance is dependent upon the normal functioning and fluctuation of the brain. That functioning involves complex electrical activities. These in turn generate subtle waves which were first noticed and studied by Hans Berger. These are essentially electrical rhythms in the brain which, when recorded by means of instruments called electroencephalograms or EEG on a roll of paper, appear as complex wave forms. In this paper, based on Jacobi elliptic …
Published in Current Trends in Signal Processing · Vol. 3, Issue 3, 2013 · pp. 11–18 Read article
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MicroRNAs in Animal Behavior: Regulation of Memory and Decision-Making in Mammals
Abstract: MicroRNAs are small, non-coding RNA molecules that play a crucial role in post-transcriptional regulation of gene expression. In recent years, their significance has extended beyond cellular development and disease regulation, as emerging evidence suggests they are critical mediators in complex behavioral processes, including learning, memory, and decision-making. This article explores the role of miRNAs in regulating neural plasticity and cognitive functions in mammals, emphasizing their involvement in memory formation and …
Published in Research and Reviews : Journal of Veterinary Science and Technology · Vol. 13, Issue 3, 2024 · pp. 21–25 Read article
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In Silico Prediction of Multitarget Mechanism of Quinoline and Its Analogs on Phosphoinositide-3-Kinase Pathway Proteins
Abstract: Objective: Phosphoinositide 3-kinases (PI3Ks), the target of rapamycin (PI3K/Akt/mTOR, PAM), are a family of enzymes that play a role in the growth, proliferation, differentiation, motility, survival, and intracellular trafficking of cells, all of which are essential for healthy cellular function and are also connected to cancer. In this study, quinoline and its derivatives were employed to analyze its inhibition activity on the phosphoinositide-3-kinase pathway. Methods: In this work, eight phytocompounds …
Published in International Journal of Molecular Biotechnological Research · Vol. 1, Issue 1, 2023 · pp. 57–76 Read article
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AEGLE MARMELOS: A Review of Its Chemicals Constituents, Biological Activity and Potential Health Benefits
Abstract: The fruit bael is obtained from the plant name, Aegle marmelos, which is an important medicinal herb found in South Asia. The leaves, stems, bark, and roots are all used in traditional medicine in addition to the fruits. Since ancient times, people have utilized herbs to treat a variety of chronic illnesses. The nutritional and medicinal properties of compounds derived from plants have been confirmed by several scientific investigations. Worldwide …
Published in Journal of AYUSH: Ayurveda, Yoga, Unani, Siddha and Homeopathy · Vol. 14, Issue 1, 2025 · pp. 26–32 Read article