MY UNFORTUNATE STUDENTS WHO LEFT THIS MORTAL WORLD BEFORE THEIR TEACHER

OM PUBLICATION, Village MAHAN - 444 405 Tq. Barshitakli Dist. Akola, (Maharashtra State), India. , 2020

Editorial Dear Reader, International Journal of Shantaram Janorkar Foundation of Mathematics, Science and Spiritual, This international journal has been launched in memory of my father and researcher late Mr. Shantaram Bapurao Janorkar by “Shantaram Janorkar Foundation of Mathematics” published by Om Publications, Mahan, Tq. Barshitakli, Dist.Akola, (Maharashtra State), India and it is certified by ISSN (P & O), ISBN, RNI, QR Code, ISO 9001:2015. This journal is in ‘Print/CD-ROM/Online’ formats. I have been trying to deliver this journal to the scholars and scientists of 511 universities of India and to the scholars and scientists of 10,877 universities all over the world. I sincerely request to honorable scholars and scientists to continue further my present work. There is such a great extent of knowledge in this research work that the yet to be in completed research will be completed with this research and logic and the world will get to know the real and true knowledge and you can put new theorems before the world created through this research. To help this real and true knowledge put forward before the world is the very primary objective of my efforts. While thinking over this research paper prepared by me, I am getting new concepts through this research and that inspires me to do research and prepare research papers on different new subjects. It is said that time and tide waits for none; ‘Death’ is the eternal truth for all living beings on earth. Hence, it is utmost essential to put forth my research paper in front of the world. I feel, after my death, there will be nobody to put forth or present this research paper in front of the world. OM Purnamadah: Purnamidam Purnat Purnamudachyate I Purnasya Purnamadaya Purna Mevavashisyate II In Geometry, symbol for measurement accepted by world scientists (world official) is degree and the very degree is the root, scale, source and base of the research. Degree: Closed chop (Compass), Tip of the compass means point, means 1 point, means 1º degree, means dot • = degree means unit of measurement. The base of this whole research is 36º measure of circle. By transforming this research which is originally in Marathi language, into scientific and mathematical language I am publishing serially all the papers on this research in an international journals. If you look at this research with the unselfish vision of a scholar, scientist (researcher) and if you carefully read the work published in this publication, you will easily understand the research work and ways for further research on this work can be found. In this research many new theorems have been established, different new methods have been found and in the same way many new theorems and methods will be found. Hon. Prof.Dr.T.M.Karade, Prof.Dr.Shriram B.Patil, Prof. Dr.B.S. Rajput, Prof. Dr. Kamel Lahmar (Algeria), AFRICA, Prof.Dr.Kishor S.Adhav, Prof. Dr.J.N. Salunke, Prof.Dr.S.D.Katore, Prof. Dr. M. B. Dhakne, Prof.Dr. D.T.Solanke have been regularly providing valuable guidance to me and therefore, I am very much grateful to them and I shall remain grateful to them forever. In case you find any difficulty in understanding the research papers published in this journals please send your queries in writing on the editorial address, I shall sincerely strive to solve them. You can contact me round the clock on phone or in person. All the persons in the world can download free of charge this international periodical from the website ‘www.sbjanorkar.com, Dhananjay Janorkar - Academia.edu, Dhananjay Shantaram Janorkar – SSRN, Dhananjay Janorkar - ResearchGate and Dhananjay Janorkar - Google scholars’ I request sincerely all of you to help me to serve this international periodical to all. I dedicate the sixth issue of this journal to the memory of my father and the researcher of this basic work, late Mr. Shantaram Bapurao Janorkar, the valuable research done by him, and his trust in education.  Mr.Dhananjay S.Janorkar (Chief Editor) Researcher and Author

OM PUBLICATION, Shantaram Janorkar Foundation of Mathematics Mahan-444 405, Tq.Barshitakli Dist. Akola (Maharashtra State), INDIA, Contact: +91-9021607450, 9226442256 E-mail: publicationom@gmail.com (For Publication) www.sbjanorkar.com , 2017

Editorial Dear Reader, International Journal of Shantaram Janorkar Foundation of Mathematics, Science and Spiritual, This international journal has been launched in memory of my father and researcher late Mr. Shantaram Bapurao Janorkar by “Shantaram Janorkar Foundation of Mathematics” published by Om Publications, Mahan, Tq. Barshitakli, Dist.Akola, (Maharashtra State), India and it is certified by ISSN (P & O), ISBN, RNI, QR Code, ISO 9001:2008. This journal is in ‘Print/CD-ROM/Online’ formats. I have been trying to deliver this journal to the scholars and scientists of 511 universities of India and to the scholars and scientists of 10,877 universities all over the world. I sincerely request to honorable scholars and scientists to continue further my present work. There is such a great extent of knowledge in this research work that the yet to be in completed research will be completed with this research and logic and the world will get to know the real and true knowledge and you can put new theorems before the world created through this research. To help this real and true knowledge put forward before the world is the very primary objective of my efforts. While thinking over this research paper prepared by me, I am getting new concepts through this research and that inspires me to do research and prepare research papers on different new subjects. It is said that time and tide waits for none; ‘Death’ is the eternal truth for all living beings on earth. Hence, it is utmost essential to put forth my research paper in front of the world. I feel, after my death, there will be nobody to put forth or present this research paper in front of the world. Om Purnamadah: Purnamidam Purnat Purnamudachyate I Purnasya Purnamadaya Purna Mevavashisyate II In Geometry, symbol for measurement accepted by world scientists (world official) is degree and the very degree is the root, scale, source and base of the research. Degree: Closed chop (Compass), Tip of the compass means point, means 1 point, means 1º degree, means dot • = degree means unit of measurement. The base of this whole research is 36º measure of circle. By transforming this research which is originally in Marathi language, into scientific and mathematical language I am publishing serially all the papers on this research in an international journals. If you look at this research with the unselfish vision of a scholar, scientist (researcher) and if you carefully read the work published in this publication, you will easily understand the research work and ways for further research on this work can be found. In this research many new theorems have been established, different new methods have been found and in the same way many new theorems and methods will be found. I have made a deep study on this research and while deciding on which methods should be included in this paper and which methods are easier, I have came across some theorems in addition to this theorem and they follow as: For example,  The Theorem of Proof of the Circumference of a Circle is in 6.283185306 radians, (Vartul Parigh ha 6.283185306C radians Madhye Asato, Yahchya Siddhatecha Siddhanta, (In Marathi).  The Theorem of Verious Formulae of Equation in Mathematics and Science, (Ganit Vaa Vidnyana Madhil Vega Vegalya Samikarananchya Sutrancha Siddhanta, (In Marathi).  The Theorem of Proof of How the Answer that Come in to Computer / Super Computer with the 3.141592653 Value of Goba means Pi Comes Definite, Complete and Rational has been Proved, (Sanganak / Maha Sanganaka Madhye 3.141592653 Hi Goba chi Mhanajech Pi Chi Kimmat Ghevun Yenari Utare Kasi Nishit, Purna Va Parimeya Yetat, Yachya Siddhatecha Siddhanta, (In Marathi).  The Theorem of the Evolution or Creation of the Radius, straight radius, arc radius and diameter of Circle and the Circumference of Circle. (Wartul vaa wartul parighachi thrigha, saral thrigha, kauns thrigha Aani wyasacha uttapathi kinva nirmiti cha shidhanta, (In Marathi).  The Theorems of the Numbers, Vedic 16 Vowels, Vedic 36 Consonants and Their Symbolic Signs. (Aanka, vaidik 16 Swar, vaidik 36 vyanjane vaa thyanchya syanketik chinhyancha shidhanta, (In Marathi). With this,  Squarization of a Circle = 5605 x 5605 = 31416025 / 10000000 = 3.1416025º (Wartulache chaurasikaran = 5605 x 5605 = 31416025/10000000 = 3.1416025º, (In Marathi). In spirituality on the basis of mathematical rules,  Om - The Scientific Verification of Om and its Aspect. (Om - Om Che Wiadhyanik Drustya Shidhatha Wa Swarup, (In Marathi).  Soul-The Verification of the Existence of Soul, Its Aspect and Nomenclature. (Aatmaa - Aatmaaya Chya Asthitwachi Shidhatha, Swarup Wa Namkaran, (In Marathi), I will try to publish in the next 15 September, 2018, issue the further papers on this theorem. Hon. Prof.Dr.T.M.Karade, Prof.Dr.Shriram B.Patil, Prof. Dr.B.S. Rajput, Prof. Dr. Kamel Lahmar (Algeria), AFRICA, Prof.Dr.Kishor S.Adhav, Prof. Dr.J.N. Salunke, Prof.Dr.S.D.Katore, Prof. Dr. M. B. Dhakne, Prof.Mr. D.T.Solanke have been regularly providing valuable guidance to me and therefore, I am very much grateful to them and I shall remain grateful to them forever. In case you find any difficulty in understanding the research papers published in this journals please send your queries in writing on the editorial address, I shall sincerely strive to solve them. You can contact me round the clock on phone or in person. All the persons in the world can download free of charge this international periodical from the website ‘www.sbjanorkar.com, Dhananjay Janorkar - Academia.edu, Dhananjay Shantaram Janorkar – SSRN, Dhananjay Janorkar - ResearchGate and Dhananjay Janorkar - Google scholars’ I request sincerely all of you to help me to serve this international periodical to all. I dedicate the third issue of this journal to the memory of my father and the researcher of this basic work, late Mr. Shantaram Bapurao Janorkar, the valuable research done by him, and his trust in education.  Mr.Dhananjay S.Janorkar (Chief Editor)

RGNF-SC-AND- …

Hardwari Publishers, Prayagraj (India), 2021

Although, the author has recalled all his teachers / mentors and Gurūs, paid homage to them repeatedly in his books [Ref. 8, 11 – 12], Chapters 4, 6, 7 below; and accomplished a biography of his Ph.D. supervisor (Paḑmàshrī Prof. Dr. Raţnà Shankar Mishrà) recently [Ref. 21]; but the present book carries much deeper motives: (i) homage to the teacher (Prof. Dr. Ḑévénḑrà Nāţh Misrà) who could be counted as the second or third senior most doctoral degree holder in his discipline (Topology) in the entire Indian sub-continent; (ii) exposing his real talent and some rare virtues to this world, which is often dominated by the Western culture and traditions; (iii) Informing his own kith and kin who might have undermined the worth of their intellectual guardian. Professor Misrà showed his brilliance right from his beginning. His score of marks (149 out of 150) in mathematics at his B.Sc. (Final) examination of Lucknow University held in 1949 remained unbeaten for long. After passing his Masters in Mathematics from the same University, in 1953 he proceeded on study leave from his alma mater to France and pursued his studies for the doctoral degree at the University of Paris. He was awarded Dr. ès Sc. Degree in 1957 for his doctoral dissertation in a most advanced and modern subject known as Topology – a branch in Pure Mathematics not yet fully comprehensible to many scholars in Indiā and abroad. The author (with rural base and hailing from a conservative Brahmin family of highest cadre amongst Kānyàkubjà Brahmins) could never appreciate the smoking habit of such a capable scholar. Dr. Misrà developed a chain smoking habit and was fond of ultra-modern life style: wearing a long necktie sometimes even with bathroom slippers – so called Hawāī chappals introduced in Indiā around 1960. Honestly speaking his smoking habit caused a repelling impact on the adolescent mind of the author and I never thought of joining research under his supervision. Now at the fag-end of life I must do justice with the highly academic brilliance of the scholar; and, in spite of his some shortcomings, he richly deserves for my narration – especially when he is gone for his heavenly abode. He might have never taken me so seriously that I shall endeavour to make his reminiscences forever. It consists of 10 chapters of which the first one is introductory describing the Hinḑī characters and the author’s philosophy. The Indian proper names are generally italicized and written in accented (Roman) letters in order to give the original sounds. Efforts have been made to incorporate all the information related to my Gurū jī (Prof. Dr. Ḑévénḑrà Nāţh Misrà): his origin, education, academic pursuits, published works, rare photographs, his close relatives, etc. in the Chapters 2 and 3 of the book. Homage paid by the author to all his Gurūs, Teachers and Mentors and charities made are detailed in Chapter 4. Next chapter presents a tableau of some unforgettable moments in the academic life of the author. The Chapter 6 presents author’s general articles / books, while the Chapter 7 details his mathematical works. Chapter 8 enlists author’s other literary works and some Véḑic Manţràs. It is an established fact that from time to time many great saints, Rishīs and other sages and divine people appeared on the Earth and guided the society in one way or the other for the benefit of the mankind, for providing stability to the restless mind and for the purification of the soul. Born in a Vaishņavà family, the author has enriched his knowledge through interactions with many sages and has achieved considerably by regular chanting all the Manţràs presented in this chapter for a long time. Readers may benefit themselves from these Manţràs as per their own choice. Chapter 9 presents some of the ‘Surviving elders in my subject (Mathematics)’ and the last chapter details the abbreviations used in the narration. The book ends with References to the existing literature. The author has derived much of personal information, provided in the book, from the youngest brother (Shrī V.N. Misrà) of Gurū jī. The information given in the web sites of Mr. Suḑhīr Misrà (the elder son of Gurū jī), Kānyà Kubjà College, Lucknow and others have also been utilized. Hence, they all deserve my sincere thanks and gratitude. The author feels lucky to be cared by the immediate members of his family: wife (Rékhā), the third son (Rōhiţ), his wife (Keerţi) and their kids (Ākarshaņ and Samriḑḑhi). Even the little ones cooperated in serving me for my energy needs facilitating my task easier. Hence, they too richly deserve my sincere thanks. The entire composition of the book has been accomplished by the author single handed. Although every effort has been made to preserve the accuracy even if any discrepancy is found for which the author alone shall be responsible. What a happy coincidence that many centuries back the ancestors of the author also migrated from ‘Ganj Morāḑābāḑ’ situated in the East of the ancestral district (Harḑōī) of Pt. Jai Nārāiņ Misrà aka Kakkā jī – the maternal grandfather of Prof. D.N. Misrà jī to Sīţāpur and Lakhīmpur-Khérī districts of U.P. Possibly, the Lord saved my life many a times just for the sake of performing such noble tasks. As per the eternal belief, the debt of above mentioned holy soil of my ancestors could be repaid only after coming to this life. As such, the composition of this biography was pre-determined to be completed by me only. In the last phase of life, the author is influenced by the valuable work of Indiā’s Hinḑī Poet (Paḑmà Bhūshaņ Pt. Mākhan Lāl Chaţurvéḑī) – ‘The desire of a flower’. “ चाह नहीं, मैं सुरबाला के गहनों में गूँथा जाऊँ । चाह नहीं, प्रेमी-माला में बिंध प्यारी को ललचाऊँ ।। चाह नहीं, सम्राटों के शव पर हे हरि, डाला जाऊँ । चाह नहीं, देवों के सिर चढ़ भाग्य पर इठलाऊँ ।। मुझे तोड़ लेना ‘वनमाली’, उस पथ पर देना तुम फेंक । मातृ-भूमि पर शीश चढ़ाने, जिस पथ जायें वीर अनेक ।।” [ Have no desire to be entwined in fairy’s jewels. Have no lust to dress up a garland entice a fiancée. Neither any wish to be adored in the funeral of the emperors, Nor an ambition to be offered to a deity, and flaunt the fate. Pluck me O Gardener ! and throw me on the path, Where march the martyrs of the motherland. ] Lucknow (India): August 14, 2021 Ram Bilas Misrà

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