All the great personages of the past, who have left an indelible mark on the trail of events in the history of mankind, become a centre around which gathers, with the passage of time, a mass of legends and myths. These, more often than not, are later assumed to be facts that cannot be verified. The historicity of many of these legends begins to be questioned then, be they related to the life of a Christ, a Buddha or a Moses. Sri Ramakrishna, the latest in the line of these Great Masters, is an exception to this historical dilemma, as he appeared just a century ago. Even today researches succeed in discovering hitherto unknown truths about him, and these can be easily verified. The author of this book published by Advaita Ashrama, a publication house of Ramakrishna Math, Belur Math, India, has brought to light some fresh findings on Sri Ramakrishna that will be extremely interesting for all his devotees and admirers.
The Revised edition is based on the author's paper "Characterising Locally Finite Groups Satisfying the Strong Sylow Theorem for the Prime p" which has been published on pp. 13-39 of Volume 13 of the very fine open access mathematical journal Advances in Group Theory and Applications (AGTA) (see https://www.advgrouptheory.com/journal/#read). For that paper the author has transferred the copyright to AGTA. The Revised edition introduces quite a number of corrections and embellishments, highlighted in light green, which could not have been considered by AGTA, and especially a much more beautiful line and page formatting. For these enhancements the author has kept the copyright. The Revised edition adds Pages i to vi, Pages 26a to 26f and Pages xiii to xviii to the AGTA paper which either are required for a book - the front matter (die "Titelei") - or describe related aspects and background which cannot be published in a mathematical journal. The Revised edition incorporates major revisions by the author and by editors as well as some supplementary material designed to bring the research paper up to date.
Part 1 of the Trilogy "Characterising Locally Finite Groups Satisfying the Strong Sylow Theorem for the Prime p" & "About the Strong Sylow Theorem for the Prime p in Simple Locally Finite Groups" & "The Strong Sylow Theorem for the Prime p in Projective Special Linear Locally Finite Groups" is based on the beauteous BoD-Book "Characterising locally finite groups satisfying the strong Sylow Theorem for the prime p - Revised edition" (see ISBN 978-3-7562-3416-5) which in turn has been based on the author's research paper "Characterising Locally Finite Groups Satisfying the Strong Sylow Theorem for the Prime p" that was published on pp. 13-39 of Volume 13 of the gratifyingly open access mathematical journal Advances in Group Theory and Applications (AGTA) (see https://www.advgrouptheory.com/ journal/#read). Part 1 removes the highlights in light green of the Revised edition and adds the albeit considerably improved Pages i to vi, Pages 26a to 26f, and Pages xiii to xviii to the AGTA paper. In addition it adds the ten new Pages xv to xxiv to the Revised edition and thus renumbers the Pages xv to xviii into the Pages xxv to xxviii. It includes Reference [11] as Appendix 1 and Reference [10] as Appendix 2. Finally it calls to mind Prof. Otto H. Kegel's fine contribution to the conference Ischia Group Theory 2016.
Believer and unbeliever alike are subtly evangelized every day of their lives by the ambient glow of God’s cinematic masterpiece. They sense something grand but are confused by the incoherent cultural edits scattered throughout the film. The Good News is that the deleted scenes are not lost but can be found in our shared human experiences, and once spliced back together reveal an epic of Biblical proportions, The Director’s Cut of the Greatest Story Ever Told. Dr. Erik Strandness takes a unique “bottom up” approach to apologetics by investigating experiences common to all people and concluding that they can only be adequately understood through a Biblical filter. The goal is to empower lay Christians to confidently share their faith in a concrete, friendly, real-world context that effectively engages the day-to-day realities of their audience. Dr. Strandness writes in a clear, engaging, and witty style, combining the thoughts of many great Christian thinkers with culturally relevant illustrations in order to make a solid real world case for the Christian worldview. “Once in a while, someone manages to put ageless truth in such a fresh package that it cries out, ‘Read on!’ That’s the way I felt when reviewing Erik Strandness’s book. What a pleasure it is to read! But it’s not just Erik’s engaging word images that make it such a great read. It’s the profound and timely message he is communicating in such an intelligent and winsome way. This is a book you will be telling others about.” —Dr. Christian Overman, Director, Worldview Matters, biblicalworldview.com
Part 2 of the Trilogy "Characterising Locally Finite Groups Satisfying the Strong Sylow Theorem for the Prime p" & "About the Strong Sylow Theorem for the Prime p in Simple Locally Finite Groups" & "The Strong Sylow Theorem for the Prime p in Projective Special Linear Locally Finite Groups" is based on the author's research paper "About the Strong Sylow Theorem for the Prime p in Simple Locally Finite Groups". This very beautiful and pioneering manuscript had been submitted for peer reviewing to the open access journals Advances in Group Theory and Applications (AGTA) (see https://www.advgrouptheory.com/ journal/) and Science Research Association (SCIREA) Journal of Mathematics (see https://www.scirea.org/ journal/Mathematics) but was very regrettably rejected by both of them (with ridiculous arguments). We first give a profound overview of the structure of simple groups and in particular of the simple locally finite groups and reduce their Sylow theory for the prime p to a famous conjecture of Prof. Otto H. Kegel (see [16], Theorem 2.4: "Let the p-subgroup P be a p-uniqueness subgroup in the finite simple group S which belongs to one of the seven rank-unbounded families. Then the rank of S is bounded in terms of P.") about the rank-unbounded ones of the 19 known families of finite simple groups. Part 2 introduces a new scheme to describe the 19 families, the family T of types, defines the rank of each type, and emphasises the rôle of Kegel covers. This part presents a unified picture of known results all proofs of which are by reference and it is the actual reason why our title starts with "About". We then apply beautiful new ideas to prove the conjecture for the alternating groups (see Page ii). Thereupon we are remembering Kegel covers and *-sequences. Finally we suggest a plan how to prove and even how to optimise the conjecture step-by-step or peu à peu which leads to further quite tough conjectures thereby unifying Sylow theory in locally finite simple groups with Sylow theory in locally finite and p-soluble groups. For any unexplained terminology we refer to [6].
Part 2 of the Trilogy "Characterising Locally Finite Groups Satisfying the Strong Sylow Theorem for the Prime p" & "About the Strong Sylow Theorem for the Prime p in Simple Locally Finite Groups" & "The Strong Sylow Theorem for the Prime p in Projective Special Linear Locally Finite Groups" is based on the author's research paper "About the Strong Sylow Theorem for the Prime p in Simple Locally Finite Groups". This very beautiful and pioneering manuscript had been submitted for peer reviewing to the open access journals Advances in Group Theory and Applications (AGTA) (see https://www.advgrouptheory.com/journal/) and Science Research Association (SCIREA) Journal of Mathematics (see https://www.scirea.org/journal/Mathematics) but was very regrettably rejected by both of them (with ridiculous arguments). We first give a profound overview of the structure of simple groups and in particular of the simple locally finite groups and reduce their Sylow theory for the prime p to a famous conjecture of Prof. Otto H. Kegel (see [16], Theorem 2.4: "Let the p-subgroup P be a p-uniqueness subgroup in the finite simple group S which belongs to one of the seven rank-unbounded families. Then the rank of S is bounded in terms of P.") about the rank-unbounded ones of the 19 known families of finite simple groups. Part 2 introduces a new scheme to describe the 19 families, the family T of types, defines the rank of each type, and emphasises the rôle of Kegel covers. This part presents a unified picture of known results all proofs of which are by reference and it is the actual reason why our title starts with "About". We then apply beautiful new ideas to prove the conjecture for the alternating groups (see Page ii). Thereupon we are remembering Kegel covers and *-sequences. Finally we suggest a plan how to prove and even how to optimise the conjecture step-by-step or peu à peu which leads to further quite tough conjectures thereby unifying Sylow theory in locally finite simple groups with Sylow theory in locally finite and p-soluble groups. For any unexplained terminology we refer to [6].
Prabuddha Bharata, an English monthly journal of the Ramakrishna Order, has trodden a long and arduous path for the last hundred years. Throughout this past century it has gathered many treasures within its covers. On those pages some of the brightest minds of the century struggled with the problems of the world and placed before humanity their insights and solutions. For the readers who do not have ready access to all the volumes of Prabuddha Bharata, few of the priceless gems contained in those pages have been anthologised here, in this publication by Advaita Ashrama, a publication house of Ramakrishna Math, Belur Math, India. A study of this anthology is a study of life—of science, art, psychology, philosophy, etc., as the titles show. As you will see in the following pages, many of the articles draw the reader into another milieu—a milieu that was the precursor of today’s. There we discern the hopes, fears, and anxieties that moved powerful minds. And there we find the solutions they proposed and the hopes they cherished regarding humanity’s future. We see a recent past through some of the clearest eyes of that period, and we also get a glimpse of the world they thought would soon emerge. Thus we are able to compare all that with the present, understand better what is happening now, and ponder over the future.
The integration of new sources of energy like wind power, solar-power, small-scale generation, or combined heat and power in the power grid is something that impacts a lot of stakeholders: network companies (both distribution and transmission), the owners and operators of the DG units, other end-users of the power grid (including normal consumers like you and me) and not in the least policy makers and regulators. There is a lot of misunderstanding about the impact of DG on the power grid, with one side (including mainly some but certainly not all, network companies) claiming that the lights will go out soon, whereas the other side (including some DG operators and large parks of the general public) claiming that there is nothing to worry about and that it's all a conspiracy of the large production companies that want to protect their own interests and keep the electricity price high. The authors are of the strong opinion that this is NOT the way one should approach such an important subject as the integration of new, more environmentally friendly, sources of energy in the power grid. With this book the authors aim to bring some clarity to the debate allowing all stakeholders together to move to a solution. This book will introduce systematic and transparent methods for quantifying the impact of DG on the power grid.
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