JOURNAL OF ADVANCES IN MATHEMATICS en-US <p><a href="" rel="license"><img src="" alt="Creative Commons License" /></a> All articles published in <em>Journal of Advances in Linguistics</em> are licensed under a <a href="">Creative Commons Attribution 4.0 International License</a>.</p> (Editorial Office) jam@rajpub.comJ (Bavneet Kaur) Wed, 06 Jan 2021 08:01:43 +0000 OJS 60 Golden Ratio <p>This paper introduces the unique geometric features of 1:2: right triangle, which is observed to be the quintessential form of Golden Ratio (φ). The 1:2: triangle, with all its peculiar geometric attributes described herein, turns out to be the real ‘Golden Ratio Triangle’ in every sense of the term. This special right triangle also reveals the fundamental Pi:Phi (π:φ) correlation, in terms of precise geometric ratios, with an extreme level of precision. Further, this 1:2: triangle is found to have a classical geometric relationship with 3-4-5 Pythagorean triple. The perfect complementary relationship between1:2: <strong> </strong>triangle and 3-4-5 triangle not only unveils several new aspects of Golden Ratio, but it also imparts the most accurate π:φ correlation, which is firmly premised upon the classical geometric principles. Moreover, this paper introduces the concept of special right triangles; those provide the generalised geometric substantiation of all Metallic Means.</p> Dr. Chetansing Rajput Copyright (c) 2021 Dr. Chetansing Rajput Sun, 17 Jan 2021 00:00:00 +0000 On Pointwise Product Vector Measure Duality <p>This article is devoted to the study of pointwise product vector measure duality. The properties of Hilbert function space of integrable functions and pointwise sections of measurable sets are considered through the application of integral representation of product vector measures, inner product functions and products of measurable sets.</p> Levi Otanga Olwamba, Maurice Oduor Copyright (c) 2021 Levi Otanga Olwamba, Maurice Oduor Wed, 06 Jan 2021 00:00:00 +0000 For the Fourier transform of the convolution in and D' and Z' <p>In this paper, we give another proof of the known lemma considering the Fourier transform of the convolution of a distribution and a function. Also, we give its application in the mentioned spaces.</p> Vasko Rechkoski, Bedrije Bedzeti, Vesna Manova Erakovikj Copyright (c) 2021 Vasko Rechkoski, Bedrije Bedzeti, Vesna Manova Erakovikj Wed, 06 Jan 2021 00:00:00 +0000