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......

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[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
[5]. Https://Www.Cuemath.Com/T-Test-Formula.

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.

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[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.

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

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