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The Recursion Sutras

The Recursion Sutras
Author: Champak Roy
Publisher: Independently Published
Total Pages: 83
Release: 2018-02-10
Genre:
ISBN: 9781980250265

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Most Software Engineers would remember their introduction to Recursion. The first impression is usually disorienting. Problems get solved without actually being solved. This happens while learning Quicksort and then Mergesort. These are based on Recursion and the other implementation is by using stacks which requires still more programming.The real encounter comes when you try solving problems like the Towers of Hanoi, Eight Queens Problem etc. The problems get solved perfectly even if it doesn't actually feel like you're solving it. Exciting, sinister, like it or love it but Recursion is the only way of solving those problems. Even if we were to use a stack, we would first design a Recursive solution and then remove the Recursion mechanically. Not necessary, because the compiler does the same.Recursion finds application in advanced fields of Computer Programming. 1. Look ahead in strategy games like Chess is implemented via Recursion.2. Regular Expressions, where you search text based on patterns is always implemented by Recursion.3. Many optimization and combinatorial problems like Dynamic Programming, Eight Queens Problem, solving a maze etc require Recursive formulations.In short, a deep understanding of Recursion helps in a Software Development Career.This book takes you deep into Recursion. We solve the basic problems of Data Structures recursively. This book doesn't use a single iterative loop, and we solve every type of problem. Take a look at the table of contents.DEFINING RECURSIONTHE INTEGER AS A RECURSIVE DATA STRUCTURESSUMMATION OF SERIES.PERMUTATIONS & COMBINATIONS.THE ARRAY AS A RECURSIVE DATA STRUCTURETHE LINKED LIST AS A RECURSIVE DATA STRUCTUREBINARY TREES AS RECURSIVE DATA STRUCTURESRECURSION AND FILESSOME INTERESTING PROBLEMS USING RECURSIONSUMMING UPWriting this book has been an engrossing task. Selecting problems, designing solutions , programming and testing has been particularly stimulating. Should have the same effects on the readers.


Metaphilosophy of Creation

Metaphilosophy of Creation
Author: Dr. Prattipati Ramaiah
Publisher: Notion Press
Total Pages: 776
Release: 2016-09-09
Genre:
ISBN: 1945926333

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Some of puzzling Metaphilosophical Questions on Creation: 1) Who was there before creation? 2) Is there a beginning and an end to this creation? 3) Do other universes exist, similar to the universe we live in? 4) What was the first principle or tatwa that put the creation process into action? 5) Is there any controlling force to rule the universe and to keep the universe harmonious? Some of the Cardinal cosmic laws are: “What is evolved is necessarily caused.”-- Cardinal cosmic law - “Being originated it is destructible/changed.” -- Cardinal cosmic law - “What is caused is limited.” -- Cardinal cosmic law Evolution takes place every moment*. “A moment is that period of time unit by which an Anu (atom) in motion gives up its previous position and reaches the succeeding place.” — Maharshi Vyasa. (3000BC) *A moment (Kshana) indicates the smallest unit of time. “Dharma is the form of Dharmi”. “There is no Dharma without a Dharmi” “Dharma Parinama =Characteristic Manifestation is known as Creation” This subject of creation is generally considered obscure, abstract, secretive and unfathomable. But knowledge is self-luminating and the Veda is knowledge. The ancient wisdom of Bharathadesam is the source of illumination for the concepts of creation.


Sanskrit Computational Linguistics

Sanskrit Computational Linguistics
Author: Amba Kulkarni
Publisher: Springer Science & Business Media
Total Pages: 163
Release: 2008-12-18
Genre: Language Arts & Disciplines
ISBN: 3540938842

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This volume presents the proceedings of the Third International Sanskrit C- putational Linguistics Symposium hosted by the University of Hyderabad, Hyderabad,IndiaduringJanuary15–17,2009.TheseriesofsymposiaonSanskrit Computational Linguistics began in 2007. The ?rst symposium was hosted by INRIA atRocquencourt,Francein October 2007asa partofthe jointcollabo- tion between INRIA and the University of Hyderabad. This joint collaboration expanded both geographically as well as academically covering more facets of Sanskrit Computaional Linguistics, when the second symposium was hosted by Brown University, USA in May 2008. We received 16 submissions, which were reviewed by the members of the Program Committee. After discussion, nine of them were selected for presen- tion. These nine papers fall under four broad categories: four papers deal with the structure of Pan ¯ ini's Astad ¯ hyay ¯ ¯ ?. Two of them deal with parsing issues, . .. two with various aspects of machine translation, and the last one with the Web concordance of an important Sanskrit text. Ifwelookretrospectivelyoverthelasttwoyears,thethreesymposiainsucc- sion have seen not only continuity of some of the themes, but also steady growth of the community. As is evident, researchers from diverse disciplines such as l- guistics, computer science, philology, and vy¯ akarana are collaborating with the . scholars from other disciplines, witnessing the growth of Sanskrit computational linguistics as an emergent discipline. We are grateful to S.D. Joshi, Jan Houben, and K.V.R. Krishnamacharyulu for accepting our invitation to deliver the invited speeches.


The Value of the Particular: Lessons from Judaism and the Modern Jewish Experience

The Value of the Particular: Lessons from Judaism and the Modern Jewish Experience
Author: Michael Zank
Publisher: BRILL
Total Pages: 391
Release: 2015-04-14
Genre: Religion
ISBN: 9004292691

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In this tribute to Steven T. Katz on the occasion of his seventieth birthday, Michael Zank and Ingrid Anderson present sixteen original essays written by senior and junior scholars in comparative religion, philosophy of religion, modern Judaism, and theology after the Holocaust, fields of inquiry where Steven Katz made major contributions over the course of his distinguished scholarly career. The authors of this volume, specialists in Jewish history, especially the modern experience, and Jewish thought from the Bible to Buber, offer theoretical and practical observations on the value of the particular. Contributions range from Tim Knepper’s reevaluation of the ineffability discourse to the particulars of the Settlement Cookbook, examined by Nora Rubel as an American classic.


World of Patterns

World of Patterns
Author: Rens Bod
Publisher: JHU Press
Total Pages: 396
Release: 2022-05-10
Genre: History
ISBN: 1421443449

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"Though fields such as art history, the history of philosophy, and intellectual history have been around for a long time, the author's interest is in the history of what scholars in all of these fields are doing in common. This book looks beyond the humanities to the practice of disciplined inquiry more generally, bringing together the history of the humanities and the sciences under the guise of a unified search for patterns"--


Cultural Foundations of Mathematics

Cultural Foundations of Mathematics
Author: C. K. Raju
Publisher: Pearson Education India
Total Pages: 536
Release: 2007
Genre: Calculus
ISBN: 9788131708712

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The Volume Examines, In Depth, The Implications Of Indian History And Philosophy For Contemporary Mathematics And Science. The Conclusions Challenge Current Formal Mathematics And Its Basis In The Western Dogma That Deduction Is Infallible (Or That It Is Less Fallible Than Induction). The Development Of The Calculus In India, Over A Thousand Years, Is Exhaustively Documented In This Volume, Along With Novel Insights, And Is Related To The Key Sources Of Wealth-Monsoon-Dependent Agriculture And Navigation Required For Overseas Trade - And The Corresponding Requirement Of Timekeeping. Refecting The Usual Double Standard Of Evidence Used To Construct Eurocentric History, A Single, New Standard Of Evidence For Transmissions Is Proposed. Using This, It Is Pointed Out That Jesuits In Cochin, Following The Toledo Model Of Translation, Had Long-Term Opportunity To Transmit Indian Calculus Texts To Europe. The European Navigational Problem Of Determining Latitude, Longitude, And Loxodromes, And The 1582 Gregorian Calendar-Reform, Provided Ample Motivation. The Mathematics In These Earlier Indian Texts Suddenly Starts Appearing In European Works From The Mid-16Th Century Onwards, Providing Compelling Circumstantial Evidence. While The Calculus In India Had Valid Pramana, This Differed From Western Notions Of Proof, And The Indian (Algorismus) Notion Of Number Differed From The European (Abacus) Notion. Hence, Like Their Earlier Difficulties With The Algorismus, Europeans Had Difficulties In Understanding The Calculus, Which, Like Computer Technology, Enhanced The Ability To Calculate, Albeit In A Way Regarded As Epistemologically Insecure. Present-Day Difficulties In Learning Mathematics Are Related, Via Phylogeny Is Ontogeny , To These Historical Difficulties In Assimilating Imported Mathematics. An Appendix Takes Up Further Contemporary Implications Of The New Philosophy Of Mathematics For The Extension Of The Calculus, Which Is Needed To Handle The Infinities Arising In The Study Of Shock Waves And The Renormalization Problem Of Quantum Field Theory.


Mathematics for B.Sc. Students: Semester III (Algebra | Mathematical Methods) NEP-UP

Mathematics for B.Sc. Students: Semester III (Algebra | Mathematical Methods) NEP-UP
Author: H K Dass, Rajnish Verma & Dr. Rama Verma
Publisher: S. Chand Publishing
Total Pages: 408
Release:
Genre: Mathematics
ISBN: 9355012799

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This book is designed for B.Sc. Mathematics Third Semester students as per Common Minimum Syllabus prescribed for all Uttar Pradesh State Universities and Colleges under the recommended National Education Policy 2020 (NEP 2020)


Origin of Vedas

Origin of Vedas
Author: K S Krishnan
Publisher: Notion Press
Total Pages: 601
Release: 2019-08-12
Genre: Religion
ISBN: 164587981X

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This book is primarily about the Rgveda, the avowed source text of all Hindu religious texts. It is a collection of 1028 mostly unrelated hymns. The language in which it is composed is known as ‘Vedic’, from which Sanskrit is believed to have evolved later. About a fifth of the poems are prayers addressed to what could be ‘Nature Gods’. Others cover a motley of subjects. About fifteen of these hymns relates to cosmogony, but differing in essentials. Vedic clearly belongs to the Indo-European language family. Apart from many cognate words that are common in all these languages, many of the stories mentioned in the Rgveda have a strong resemblance to mythologies in the other languages of the family; not just to the Zoroastrian ones, but also to those of Greek, Celtic, Nordic, Slavic, Hittite and others. Origin of Vedas also discusses a wide range of issues related to the origin and expansion of the Indo-European language family. The author has managed to collect together a lot of information about the Rgveda; some of which most would not have heard about earlier. Those interested in these may go through chapter 4 and 9.


The Origin of Consciousness in the Breakdown of the Bicameral Mind

The Origin of Consciousness in the Breakdown of the Bicameral Mind
Author: Julian Jaynes
Publisher: Houghton Mifflin Harcourt
Total Pages: 580
Release: 2000-08-15
Genre: Psychology
ISBN: 0547527543

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National Book Award Finalist: “This man’s ideas may be the most influential, not to say controversial, of the second half of the twentieth century.”—Columbus Dispatch At the heart of this classic, seminal book is Julian Jaynes's still-controversial thesis that human consciousness did not begin far back in animal evolution but instead is a learned process that came about only three thousand years ago and is still developing. The implications of this revolutionary scientific paradigm extend into virtually every aspect of our psychology, our history and culture, our religion—and indeed our future. “Don’t be put off by the academic title of Julian Jaynes’s The Origin of Consciousness in the Breakdown of the Bicameral Mind. Its prose is always lucid and often lyrical…he unfolds his case with the utmost intellectual rigor.”—The New York Times “When Julian Jaynes . . . speculates that until late in the twentieth millennium BC men had no consciousness but were automatically obeying the voices of the gods, we are astounded but compelled to follow this remarkable thesis.”—John Updike, The New Yorker “He is as startling as Freud was in The Interpretation of Dreams, and Jaynes is equally as adept at forcing a new view of known human behavior.”—American Journal of Psychiatry


Mathematics for B.Sc. Students Semester I: Theory | Practical (Differential Calculus & Integral Calculus) NEP-UP

Mathematics for B.Sc. Students Semester I: Theory | Practical (Differential Calculus & Integral Calculus) NEP-UP
Author: H K Dass, Rajnish Verma, Dr. Rama Verma, Dr. Vinod J. Dagwal, Dr. Sajid Anwar & Dr. Damodhar F. Shastrakar
Publisher: S. Chand Publishing
Total Pages: 584
Release:
Genre: Mathematics
ISBN: 9355012780

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This textbook has been designed to meet the needs of B.Sc. First Semester students of Mathematics as per Common Minimum Syllabus prescribed for all Uttar Pradesh State Universities and Colleges under the recommended National Education Policy 2020. A methodical text, which mirrors the flow of the units of the syllabus, has been created with a focus on developing mathematical skills in both Differential and Integral Calculus and enables the reader to possess an in-depth knowledge of the subjects. Apart from this, topics such as Convergence and Divergence of Series, Successive Differentiation, Partial Differentiation, Riemann Integral: Fundamental Theorems of Integral Calculus, Vector Differentiation and Integration have been well-explained.