iosr-Jm   Volume-21 ~ Issue-5 ~ Sep. – Oct. 2025

Abstract : This study examines gender-based cardiovascular responses to auditory and physical stimuli in 60 participants (30 males, 30 females). Heart rate and systolic blood pressure were measured during exposure to different music tempos, a Treadmill Test (TMT), and real-world exercise. Linear regression revealed that females showed greater heart rate sensitivity......

[1]. Https://Www.Heart.Org/
[2]. Https://Pubmed.Ncbi.Nlm.Nih.Gov/16199412/
[3]. Https://Pubmed.Ncbi.Nlm.Nih.Gov/21902567/
[4]. Http://Itre.Cis.Upenn.Edu/~Myl/Languagelog/Archives/003419.Html
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Abstract : The orthogonal polynomial set’s properties and its use in the least square sense approximation of data or complex functions to a polynomial, are discussed. Performance of Chebyshev, Gram and Alfredo-Giuseppe (A-G) polynomials is examined with a simulated Planck profile with and without noise. For Gram and A-G orthogonal sets with equal spaced grids, the effect of two types of fake data points at the boundaries are examined by computing the root mean square deviation of the data fit. When three or more data points of zero values are added at fake grids, computationative......

Keywords: Orthogonal polynomials, Function Approximation, Data fit.

[1]. Arnold F. Nikiforov And Vasilii B. Uvarov; Special Functions Of Mathematical Physics;1988; Springerbaselag.
[2]. Fernando Albiac, José L. Ansorena And Vladimir Temlyakov; Twenty-Five Years Of Greedy Bases; J. Approximation Theory 2025; 307;106141; Https://Doi.Org/10.1016/J.Jat.2024.106141)
[3]. Pham-Gia, T. And Thanh, D.N; Hypergeometric Functions: From One Scalar Variable To Several Matrix Arguments, In Statistics And Beyond; Open Journal Of Statistics,2016; 6(5), 951 ; DOI: 10.4236/Ojs.2016.65078
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Abstract : Brahmins on the banks of Ganges are entitled to some credits”- F. Cajori Mathematics has its origin in India prior to Rig Veda. Sulba-sutras of Katyayana, Apastamba and Baudhayana had been composed around 800 BCE. ‘Pythagoras' theorem is being stated in ‘Sulba sutras’. The Vedic era was good with numbers they worked on surds, mensuration, fractions and were able to approximate irrational numbers like √2. The Decimal system and Arithmetic is India’s gift to all. ‘Zero’ was formulated around 200 BCE before the.....

Keywords: India, Vedas, Mathematics, Scriptures, Arithmetic, Decimal system

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Abstract : This research focuses on an essential aspect of complex analysis, specifically complex integration. The focus is on the Cauchy-Goursat theorem, which states that the line integral of a holomorphic function along a closed contour equals zero when the function is holomorphic within and on that contour, in a domain with a single connection. Various applications derived from this study are analyzed and discussed, aimed at solving integrals of functions that may present singularities. In this regard, more advanced research would enable the contribution of tools in the theory of control and potential flow......

Keywords: Complex integral, residue theory, complex analysis, Cauchy-Goursat theorem, potential flow.

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[3] D. E. Ferreyra, Primeros conceptos de Analisis Complejo, La Pampa Argentina: Medina Caravallo, 2018.
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Abstract : Background: Timely resolution of court cases is fundamental to upholding justice and sustaining public trust in the judiciary. However, Kenya’s judiciary continues to face persistent delays in both civil and criminal litigation, which undermine access to justice and erode institutional credibility. This study seeks to evaluate the determinants of case duration....

Key Words: Survival Analysis; Hazard Models; Case Duration; Judicial Efficiency; Case flow Management.

[1]. Abebe, M., & Tsegaye, H. (2022). Digitization Of Courts In Sub-Saharan Africa: Progress And Challenges. African Journal Of Legal Studies, 15(1), 21–38.
[2]. Andersen, P. K., & Gill, R. D. (1982). Cox’s Regression Model For Counting Processes: A Large Sample Study. The Annals Of Statistics, 10(4), 1100–1120.
[3]. Andrade, C. (2023). Survival Analysis, Kaplan–Meier Curves, And Cox Regression. Indian Journal Of Psychological Medicine, 45(2), 195–199.
[4]. Barchfield, J., & Holloway, M. (2021). The Role Of Digital Tools In Reducing Court Case Backlogs. International Legal Technology Review, 7(2), 59–76.
[5]. Chemin, M., Chen, D. L., Di Maro, V., Kimalu, P., Mokaya, M., & Ramos-Maqueda, M. (2024). Data Science For Justice: Evidence From A Nationwide Randomized Experiment In Kenya. Working Paper.

Abstract : In this paper, we construct the perfect codes for a star zero divisor graphs of a ring zn, when n = 2p, p >2 𝑝𝑟𝑖𝑚𝑒 𝑎𝑛𝑑 join zero divisor graphs of rings zn and zm when n = 2p and m = p2, p>2 𝑝𝑟𝑖𝑚𝑒 . Using these we find codewords and minimum Hamming distance of the code

Key Words: Hamming bound, Perfect code, Non- zero zero divisors, Zero –divisor graph, Star graph, join of two graphs,.

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[3]. Michel Mollard, On Perfect Codes In Cartesian Products Of Graphs In 2011
[4]. Rongquan Feng, He Huang And Sanming Zhou, Studied Perfect Codes In Circulant Graphs In 2017
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Abstract : Field homomorphisms are fundamental mappings between fields that preserve the algebraic structure of addition and multiplication. This research delves into the theory of fuzzy field homomorphisms, exploring their properties. The paper also investigates the concept of isomorphic fuzzy fields.

Key Words: Fuzzy field; homomorphism of fuzzy fields, isomorphism of fuzzy fields.

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