Circle’s True Pi Value Equals the Square Root of Ten

Circle’s True Pi Value Equals the Square Root of Ten PDF Author: Albert Vitales Cruz PhD
Publisher: Xlibris Corporation
ISBN:
Category : Mathematics
Languages : en
Pages : 58

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Book Description
The author of this book has discovered an innovative method of determining the True value of Pi ( = 10 = 3.1623 or 3.16227766016838). This new Pi value is derived from the geometric relationships among the circle’s components with the use of the Circle Theorem and Pythagorean Theorem. Figure 1 contains an inscribed circle in the square consisting of gridlines equally spaced into one-fourth of the side of the square or the diameter of the inscribed circle. The resulting precise Pi value is validated with the use of the Polygon Area formula, Binomial Theorem, and Quadratic Equation. This contemporary approach to finding the true Pi value reputes the traditional method of finding the Pi value. For the past four centuries, many mathematicians have attempted to find the precise Pi value. It began with measuring the circumference and the diameter of a circle and dividing the former by the latter. The erroneous Pi calculation began during the era of Archimedes of Syracuse circa 287–212 before the Christian era (BCE). Archimedes one of the greatest mathematicians of the ancient world introduced the approximate value of Pi as 3.14 (between 3-1/7 and 3-10/17 bound). Since then, humans have been trying to add more digits to the two-decimal placed Pi in an attempt to find a precise Pi which is still an approximation value.

Circle’s True Pi Value Equals the Square Root of Ten

Circle’s True Pi Value Equals the Square Root of Ten PDF Author: Albert Vitales Cruz PhD
Publisher: Xlibris Corporation
ISBN:
Category : Mathematics
Languages : en
Pages : 58

Get Book Here

Book Description
The author of this book has discovered an innovative method of determining the True value of Pi ( = 10 = 3.1623 or 3.16227766016838). This new Pi value is derived from the geometric relationships among the circle’s components with the use of the Circle Theorem and Pythagorean Theorem. Figure 1 contains an inscribed circle in the square consisting of gridlines equally spaced into one-fourth of the side of the square or the diameter of the inscribed circle. The resulting precise Pi value is validated with the use of the Polygon Area formula, Binomial Theorem, and Quadratic Equation. This contemporary approach to finding the true Pi value reputes the traditional method of finding the Pi value. For the past four centuries, many mathematicians have attempted to find the precise Pi value. It began with measuring the circumference and the diameter of a circle and dividing the former by the latter. The erroneous Pi calculation began during the era of Archimedes of Syracuse circa 287–212 before the Christian era (BCE). Archimedes one of the greatest mathematicians of the ancient world introduced the approximate value of Pi as 3.14 (between 3-1/7 and 3-10/17 bound). Since then, humans have been trying to add more digits to the two-decimal placed Pi in an attempt to find a precise Pi which is still an approximation value.

Circle's True Pi Value Equals the Square Root of Ten

Circle's True Pi Value Equals the Square Root of Ten PDF Author: Albert Vitales Cruz, PhD
Publisher: Xlibris Us
ISBN:
Category :
Languages : en
Pages : 0

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Book Description
The author of this book has discovered an innovative method of determining the True value of Pi ( = 10 = 3.1623 or 3.16227766016838). This new Pi value is derived from the geometric relationships among the circle's components with the use of the Circle Theorem and Pythagorean Theorem. Figure 1 contains an inscribed circle in the square consisting of gridlines equally spaced into one-fourth of the side of the square or the diameter of the inscribed circle. The resulting precise Pi value is validated with the use of the Polygon Area formula, Binomial Theorem, and Quadratic Equation. This contemporary approach to finding the true Pi value reputes the traditional method of finding the Pi value. For the past four centuries, many mathematicians have attempted to find the precise Pi value. It began with measuring the circumference and the diameter of a circle and dividing the former by the latter. The erroneous Pi calculation began during the era of Archimedes of Syracuse circa 287-212 before the Christian era (BCE). Archimedes one of the greatest mathematicians of the ancient world introduced the approximate value of Pi as 3.14 (between 3-1/7 and 3-10/17 bound). Since then, humans have been trying to add more digits to the two-decimal placed Pi in an attempt to find a precise Pi which is still an approximation value.

A History of Pi

A History of Pi PDF Author: Petr Beckmann
Publisher: Macmillan
ISBN: 9780312381851
Category : Mathematics
Languages : en
Pages : 206

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Book Description
Traces the history of the mathematical constant pi from the stone age through the computer age, discussing the background of the times when pi progressed, and when it did not.

Machine Learning

Machine Learning PDF Author: Jason Bell
Publisher: John Wiley & Sons
ISBN: 1119642140
Category : Mathematics
Languages : en
Pages : 432

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Book Description
Dig deep into the data with a hands-on guide to machine learning with updated examples and more! Machine Learning: Hands-On for Developers and Technical Professionals provides hands-on instruction and fully-coded working examples for the most common machine learning techniques used by developers and technical professionals. The book contains a breakdown of each ML variant, explaining how it works and how it is used within certain industries, allowing readers to incorporate the presented techniques into their own work as they follow along. A core tenant of machine learning is a strong focus on data preparation, and a full exploration of the various types of learning algorithms illustrates how the proper tools can help any developer extract information and insights from existing data. The book includes a full complement of Instructor's Materials to facilitate use in the classroom, making this resource useful for students and as a professional reference. At its core, machine learning is a mathematical, algorithm-based technology that forms the basis of historical data mining and modern big data science. Scientific analysis of big data requires a working knowledge of machine learning, which forms predictions based on known properties learned from training data. Machine Learning is an accessible, comprehensive guide for the non-mathematician, providing clear guidance that allows readers to: Learn the languages of machine learning including Hadoop, Mahout, and Weka Understand decision trees, Bayesian networks, and artificial neural networks Implement Association Rule, Real Time, and Batch learning Develop a strategic plan for safe, effective, and efficient machine learning By learning to construct a system that can learn from data, readers can increase their utility across industries. Machine learning sits at the core of deep dive data analysis and visualization, which is increasingly in demand as companies discover the goldmine hiding in their existing data. For the tech professional involved in data science, Machine Learning: Hands-On for Developers and Technical Professionals provides the skills and techniques required to dig deeper.

Pi: A Source Book

Pi: A Source Book PDF Author: J.L. Berggren
Publisher: Springer
ISBN: 1475742177
Category : Mathematics
Languages : en
Pages : 812

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Book Description
This book documents the history of pi from the dawn of mathematical time to the present. One of the beauties of the literature on pi is that it allows for the inclusion of very modern, yet accessible, mathematics. The articles on pi collected herein fall into various classes. First and foremost there is a selection from the mathematical and computational literature of four millennia. There is also a variety of historical studies on the cultural significance of the number. Additionally, there is a selection of pieces that are anecdotal, fanciful, or simply amusing. For this new edition, the authors have updated the original material while adding new material of historical and cultural interest. There is a substantial exposition of the recent history of the computation of digits of pi, a discussion of the normality of the distribution of the digits, and new translations of works by Viete and Huygen.

Scientific American

Scientific American PDF Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 494

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Book Description


10 in One Study Package for CBSE Mathematics Class 9 with 3 Sample Papers

10 in One Study Package for CBSE Mathematics Class 9 with 3 Sample Papers PDF Author: Disha Experts
Publisher: Disha Publications
ISBN: 9387421902
Category :
Languages : en
Pages : 565

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Book Description
10 in ONE CBSE Study Package Mathematics class 9 with 3 Sample Papers has 10 key ingredients that will help you achieve success. 1. Chapter Utility Score(CUS) 2. Exhaustive Theory with Concept Maps 3. Text Book exercises 4. VSA, SA & LA Questions 5. Past year questions including 2017 Solved papers 6. HOTS/ Value based/ Exemplar 7. Past NTSE + Exemplar MCQ’s 8. 15 Chapter Tests 9. Important Formulas, Terms & Definitions 10. 3 Sample Papers with detailed solutions

10 in One Study Package for CBSE Mathematics Class 9 with Objective Questions 2nd Edition

10 in One Study Package for CBSE Mathematics Class 9 with Objective Questions 2nd Edition PDF Author: Disha Experts
Publisher: Disha Publications
ISBN: 9389187761
Category :
Languages : en
Pages : 539

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Book Description
10 in ONE CBSE Study Package Mathematics class 9 with Objective Questions 2nd Edition has 10 key ingredients that will help you achieve success. 1. Chapter Utility Score(CUS) 2. Exhaustive Theory with Concept Maps 3. Text Book exercises 4. VSA, SA & LA Questions 5. Past year questions (Term I & II) Solved papers 6. HOTS/ Value based/ Exemplar MCQs 7. Past NTSE + Exemplar MCQ’s 8. 15 Chapter Tests 9. Important Formulas, Terms & Definitions 10. 3 Sample Papers provided Online on latest pattern with detailed solutions

English Mechanic and World of Science

English Mechanic and World of Science PDF Author:
Publisher:
ISBN:
Category : Industrial arts
Languages : en
Pages : 574

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Book Description


The Vedic Core of Human History

The Vedic Core of Human History PDF Author: M. K. Agarwal
Publisher: iUniverse
ISBN: 1491715952
Category : History
Languages : en
Pages : 549

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Book Description
The origin of world civilization can be traced to the Indus Valley cradle, where brilliant and original thinkers made groundbreaking discoveries. The history of these discoveries is recorded in the vast Sanskrit literature. In this study, author M. K. Agarwal explores the cultural and historical significance of the region. He explores Indus Valley culture, which encouraged creative thoughtas opposed to the Abrahamic faiths, which herded followers into dogmatic thinking. He holds that these religions prospered because of their unfettered hatred of the Vedic-Hindu-Buddhist peoples, who were demonized as pagans to be murdered, tortured, raped, enslaved, and robbed. He also considers the achievements of that culture, such as the creation of the most affluent, most scientifically advanced, and most spiritual of all societies, with archeological moorings that can be traced back to 8000 BC. No other region can even come close to transforming people and culture like the Indus Valley, but the worlds Vedic roots have been ignored, shunned, and covered up. Uncover the history that has been lost and develop a deeper appreciation for the true cradle of human civilization with The Vedic Core of Human History.