The Quest for Pi

نویسندگان

  • David H. Bailey
  • Jonathan M. Borwein
  • Peter B. Borwein
  • Simon Plouffe
چکیده

This article gives a brief history of the analysis and computation of the mathematical constant π = 3.14159 . . ., including a number of the formulas that have been used to compute π through the ages. Recent developments in this area are then discussed in some detail, including the recent computation of π to over six billion decimal digits using high-order convergent algorithms, and a newly discovered scheme that permits arbitrary individual hexadecimal digits of π to be computed. D. Bailey: NASA Ames Research Center, Mail Stop T27A-1, Moffett Field, CA 94035-1000. E-mail: [email protected]. J. Borwein: Dept. of Mathematics and Statistics, Simon Fraser University Burnaby, BC V5A 1S6 Canada. Email: [email protected]. This work was supported by NSERC and the Shrum Endowment at Simon Fraser University. P. Borwein: Dept. of Mathematics and Statistics, Simon Fraser University Burnaby, BC V5A 1S6 Canada. Email: [email protected]. S. Plouffe: Dept. of Mathematics and Statistics, Simon Fraser University Burnaby, BC V5A 1S6 Canada. Email: [email protected].

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Northwestern Computational Research Day – April 19 , 2016

Information Presenting Author:* Danqing Wang E-mail:* [email protected] Position:* Graduate Student Presenter Department:* Applied Physics Principal Investigator(PI):* Teri W. Odom PI Department:* Chemistry Abstract Title: * Superlattice Plasmons in Hierarchical Nanoparticle Arrays Computational Resources: * Quest

متن کامل

Investigation the Mechanism of Interaction between Inhibitor ALISERTIB with Protein Kinase A and B Using Modeling, Docking and Molecular Dynamics Simulation

The high level of conservation in ATP-binding sites of protein kinases increasingly demandsthe quest to find selective inhibitors with little cross reactivity. Kinase kinases are a recently discovered group of Kinases found to be involved in several mitotic events. These proteins represent attractive targets for cancer therapy with several small molecule inhibitors undergoing different ph...

متن کامل

Immortality in the Great Religions and Myths of Iran, Mesopotamia, Sumer, and Greece

In every mythological story, a quest for immortality and eternality depicts man’s inner fervor for unity with gods and the supreme power. Man seeks full immersion in life and longs for immortality at the same time. In other words, he wants to live both in time and in eternity. The desire for eternity in man shows his ceaseless struggle with time, and even more so an intense fight with death to ...

متن کامل

The effect of web quest and team-based learning on students’ selfregulation

Introduction: In this study, the authors aimed to examine theeffects of cooperative learning methods using Web Quest andteam-based learning on students’ self-direction, self-regulation,and academic achievement.Methods: This is a comparative study of students taking a course inmental health and psychiatric disorders. In two consecutive years,a group of students were trained using the Web Quest a...

متن کامل

Bounds for the Co-PI index of a graph

In this paper, we present some inequalities for the Co-PI index involving the some topological indices, the number of vertices and edges, and the maximum degree. After that, we give a result for trees. In addition, we give some inequalities for the largest eigenvalue of the Co-PI matrix of G.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997