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10 articles for “probability theory”
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The Role of Optimization and Probability in Shaping Artificial Intelligence
Abstract: This study discusses the basic roles of optimization algorithms and the theory of probability in the process of evolution and development of Artificial intelligence (AI). First, we introduce the role played by the next generation of leading-edge optimization algorithms developed since gradient descent to evolutionary strategies with respect to the learning of high-level AI models and how to enable them to learn to effectively explore high-dimensional parameter spaces. At the …
Published in Journal of Computer Technology & Applications · Vol. 16, Issue 2, 2025 · pp. 123–128 Read article
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A Review Paper on The Mathematical Foundations of Artificial Intelligence
Abstract: Artificial Intelligence (AI) is deeply rooted in various branches of mathematics, which provide the theoretical foundation and practical tools for developing intelligent systems. This paper explores the crucial role of mathematics in AI, focusing on key areas such as Linear Algebra, Probability and Statistics, Optimization Techniques, Calculus, Graph Theory, and Fourier and Wavelet Transforms. Linear Algebra is fundamental for representing and manipulating data, with applications in dimensionality reduction and neural …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 3, 2025 · pp. 7–14 Read article
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An Analytical Study on Learning Difficulties in Estimation Theory Among Undergraduate Engineering Students
Abstract: Estimation Theory is a critical mathematical foundation for all engineering disciplines, enabling learners to model uncertainty, analyse signals, and derive optimal estimators. However, undergraduate students frequently struggle with its abstract properties, complex derivations, and prerequisite statistical concepts. This study investigates the key learning difficulties faced by students across multiple engineering branches using diagnostic tests, structured questionnaires, and interviews. The findings reveal that students commonly experience challenges related to weak probability …
Published in Research & Reviews : Journal of Statistics · Vol. 15, Issue 1, 2026 Read article
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From Theory to Practice: The Mathematical Foundations of Secure Blockchain Transactions
Abstract: The rise of blockchain technology has transformed the method of conducting secure and decentralized transactions across multiple industries. At its core, blockchain relies on a robust mathematical foundation to ensure data integrity, transparency, and immutability. This paper delves into the theoretical underpinnings that make secure blockchain transactions possible, including cryptographic algorithms, distributed consensus protocols, and mathematical proofs of security. We begin by exploring the role of cryptography, particularly public-key encryption, …
Published in Journal of Advanced Database Management & Systems · Vol. 12, Issue 1, 2025 · pp. 13–20 Read article
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Phase Behaviour Study of a Mesogen in a Solvent Role of Molecular Rigidity and Configurational Entropy
Abstract: The phase behaviour of a nematogen 4’-n-pentyloxy-4-biphenylcarbonitrile (POBPCB) has been studied with respect to the translational and orientational motions. The charges of atoms and their dipole moments have been estimated by implementing the complete neglect differential overlap (CNDO/2) method. The long-range interactions have been analyzed using modified Rayleigh- Schrodinger Perturbation theory together with the multicentred-multipole expansion scheme. The “6- exp” potential function has been considered to study the short-range interactions. …
Published in Research & Reviews : Journal of Physics Read article
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Primality Testing: A Comprehensive Analysis of Methods and Time Complexity
Abstract: This paper examines various primality testing algorithms and analyzes their time complexity. The algorithms we examine include the trial division, which is straightforward but becomes inefficient with large numbers; Fermat’s little theorem which is a probabilistic method included in Monte Carlo type of randomized algorithm; the Solovay–Strassen, based on properties from number theory, particularly those related to Euler’s criterion and Jacobi symbols; and the Miller–Rabin Probabilistic Test, which balances efficiency …
Published in International Journal of Algorithms Design and Analysis Review · Vol. 2, Issue 2, 2024 · pp. 25–31 Read article
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Development of Game Theory Strategy for Estimating Mobility Variety in Approaching Wireless Networks
Abstract: Game theory designed with a set of structured tools with an evaluation tool for the tedious interaction among logical players. This theory approaches for analyzing of communication networks, which functions with autonomous structured networks and the designed network devices can take rational decisions according to network congestion. The proposed structure consists of mixture frame for channel allocation for random probability for accessing channel. The main objective of this work is …
Published in Recent Trends in Electronics Communication Systems Read article
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A Quasi-Experimental Study to Assess the Effectiveness of a Structured Teaching Programme on Knowledge and Skill of Cardiopulmonary Resuscitation Among Students at Selected Colleges
Abstract: A quasi-experimental study was conducted to evaluate the effectiveness of a structured teaching program (STP) on the knowledge and skills related to cardiopulmonary resuscitation (CPR) among students in selected colleges of Jodhpur. The objectives were to assess and compare the knowledge and skills of students in the control and experimental groups, determine the correlation between knowledge and skill levels, and identify associations with selected demographic variables. The study was guided …
Published in International Journal of Emergency and Trauma Nursing and Practices · Vol. 3, Issue 2, 2025 · pp. 61–105 Read article
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An Exploratory Investigation into the Understanding of Keratoconjunctivitis Among Staff Nurses at SCPM Hospital in Gonda
Abstract: Background: The primary aim of the present research was to evaluate the comprehension of keratoconjunctivitis among SCPM Hospital staff nurses in Gonda. Methodologically, the study was grounded in the general system theory proposed by Ludwig von Bertalanffy in 1968. To fulfill this aim, a non-experimental descriptive research design was utilized. The study included a sample of 40 SCPM Hospital staff nurses in Gonda who met the predefined inclusion criteria. Purposive …
Published in International Journal of Community Health Nursing And Practices · Vol. 2, Issue 1, 2024 · pp. 10–14 Read article
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Temperature dependence of Schmidt number of composite material based liquid lithium
Abstract: This work presents a simple formalism for Schmidt number and its temperature dependence for liquid lithium. It is explained that the temperature dependence of Schmidt number (Sc = η/ ρD) can be understood through dependence of topological-short-range-order (TSRO) parameter on temperature. Expression for Schmidt number has been deduced in terms of average potential energy US of superficial core, probability of diffusional displacement (P) and the TSRO parameter (x) . Calculations …
Published in Journal of Polymer & Composites · Vol. 12, Issue 3, 2024 · pp. 206–212 Read article