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Author: David H. Bailey
Publisher: Springer
ISBN: 3319323776
Category : Mathematics
Languages : en
Pages : 509
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Book Description
This book contains a compendium of 25 papers published since the 1970s dealing with pi and associated topics of mathematics and computer science. The collection begins with a Foreword by Bruce Berndt. Each contribution is preceded by a brief summary of its content as well as a short key word list indicating how the content relates to others in the collection. The volume includes articles on actual computations of pi, articles on mathematical questions related to pi (e.g., “Is pi normal?”), articles presenting new and often amazing techniques for computing digits of pi (e.g., the “BBP” algorithm for pi, which permits one to compute an arbitrary binary digit of pi without needing to compute any of the digits that came before), papers presenting important fundamental mathematical results relating to pi, and papers presenting new, high-tech techniques for analyzing pi (i.e., new graphical techniques that permit one to visually see if pi and other numbers are “normal”). This volume is a companion to Pi: A Source Book whose third edition released in 2004. The present collection begins with 2 papers from 1976, published by Eugene Salamin and Richard Brent, which describe “quadratically convergent” algorithms for pi and other basic mathematical functions, derived from some mathematical work of Gauss. Bailey and Borwein hold that these two papers constitute the beginning of the modern era of computational mathematics. This time period (1970s) also corresponds with the introduction of high-performance computer systems (supercomputers), which since that time have increased relentlessly in power, by approximately a factor of 100,000,000, advancing roughly at the same rate as Moore’s Law of semiconductor technology. This book may be of interest to a wide range of mathematical readers; some articles cover more advanced research questions suitable for active researchers in the field, but several are highly accessible to undergraduate mathematics students.
Author: David H. Bailey
Publisher: Springer
ISBN: 3319323776
Category : Mathematics
Languages : en
Pages : 509
Get Book Here
Book Description
This book contains a compendium of 25 papers published since the 1970s dealing with pi and associated topics of mathematics and computer science. The collection begins with a Foreword by Bruce Berndt. Each contribution is preceded by a brief summary of its content as well as a short key word list indicating how the content relates to others in the collection. The volume includes articles on actual computations of pi, articles on mathematical questions related to pi (e.g., “Is pi normal?”), articles presenting new and often amazing techniques for computing digits of pi (e.g., the “BBP” algorithm for pi, which permits one to compute an arbitrary binary digit of pi without needing to compute any of the digits that came before), papers presenting important fundamental mathematical results relating to pi, and papers presenting new, high-tech techniques for analyzing pi (i.e., new graphical techniques that permit one to visually see if pi and other numbers are “normal”). This volume is a companion to Pi: A Source Book whose third edition released in 2004. The present collection begins with 2 papers from 1976, published by Eugene Salamin and Richard Brent, which describe “quadratically convergent” algorithms for pi and other basic mathematical functions, derived from some mathematical work of Gauss. Bailey and Borwein hold that these two papers constitute the beginning of the modern era of computational mathematics. This time period (1970s) also corresponds with the introduction of high-performance computer systems (supercomputers), which since that time have increased relentlessly in power, by approximately a factor of 100,000,000, advancing roughly at the same rate as Moore’s Law of semiconductor technology. This book may be of interest to a wide range of mathematical readers; some articles cover more advanced research questions suitable for active researchers in the field, but several are highly accessible to undergraduate mathematics students.
Author: Henry Han (Computer scientist)
Publisher: Springer Nature
ISBN: 3031678710
Category : Application software
Languages : en
Pages : 247
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Book Description
This book constitutes the refereed proceedings of the Third Southwest Data Science Conference, on Recent advances in next-generation data science, SDSC 2024, held in Waco, TX, USA, in March 22, 2024. The 15 full papers presented were carefully reviewed and selected from 59 submissions. These papers focus on AI security in next-generation data science and address a range of challenges, from protecting sensitive data to mitigating adversarial threats.
Author: Frank Gross
Publisher: McGraw Hill Professional
ISBN: 007163794X
Category : Technology & Engineering
Languages : en
Pages : 545
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Book Description
The state of the art in antenna design and engineering Edited by one of the world's foremost authorities on smart antennas and featuring contributions from global experts, Frontiers in Antennas discusses the latest advances in antenna design and engineering. This pioneering guide deals primarily with frontier antenna designs and frontier numerical methods. Many of the concepts presented have emerged within the last few years and are still in a rapid state of development. Each chapter provides in-depth details on a unique and modern antenna technology. Frontiers in Antennas covers: Ultra-wideband antenna arrays using fractal, polyfractal, and aperiodic geometries Smart antennas using evolutionary signal processing methods The latest developments in Vivaldi antenna arrays Effective media models applied to artificial magnetic conductors and high impedance surfaces Novel developments in metamaterial antennas Biological antenna design methods using genetic algorithms Contact and parasitic methods applied to reconfigurable antennas Antennas in medicine: ingestible capsule antennas using conformal meandered methods Leaky-wave antennas Plasma antennas which can electronically appear and disappear Numerical methods in antenna modeling using time, frequency, and conformal domain decomposition methods
Author: Lionel Fabius
Publisher: Xlibris Corporation
ISBN: 1453544941
Category : Mathematics
Languages : en
Pages : 143
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Book Description
For the past two millennia, no significant progress has been made to improve methods used in the calculations of circles. Due to the transcendence of pi, the inner and outer dimensions of the circle were never calculated with precision, only approximately. The numeric facts were never reconciled with the geometric facts. But a breakthrough comes forth as author Lionel Fabius presents his thoroughly researched work on circles, Pi, Monads, and the Quasi-circle Theory. After some intensive and extensive study, he provides a brilliant tool that centers on circles from a numerical point of view. His concept on monad conjecture, which represents the backbone of his quasi-circle theory, allows us to compute the dimensions of a circle with unprecedented methods of calculations. His work on the circle may affect some of the fundamental concepts found in basic mathematics and may even change your view of Pi as an irrational number.
Author: Lucien Marie Le Cam
Publisher: Univ of California Press
ISBN:
Category : Biometry
Languages : en
Pages : 964
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Book Description
Author: Dale Dougherty
Publisher: Maker Media, Inc.
ISBN: 1680458612
Category : Computers
Languages : en
Pages : 144
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Book Description
In this issue of Make: we make friends — literally! Build your own companion robot with a Raspberry Pi 5, and then give it a voice using AI and a large language model running locally. No internet required! Or keep it simple and build a friendly bot with a micro:bit and a few servos. Next, get an overview of the latest new dev boards, including offerings from Adafruit, Seeed, Sparkfun, Pimoroni, and more, that use Raspberry Pi’s second-gen, double dual-core RP2350 chip. And, get started with new Arduino libraries and example projects for cheap ESP32+LCD boards. Special Bonus — Make: Guide to Boards 2025 You know Raspberry Pi and Arduino, but the waters run deep for microcontrollers and single board computers. From wearables, to Wi-Fi and Bluetooth, to AI capabilities, we show you 77 new boards that have exactly what you’re looking for to power your next project. Plus, 38+ projects: Embed tiny mirrors and mesh into your 3D prints to create sparkling fabrics Build an autotune kazoo Make a battery using your favorite sports drink Laser cut a creative ski chalet birdhouse for your feathered friends Use an Arduino for professional looking DMX lighting Make a walk-in camera obscura to project the outside world inside (and upside down) Expose spy tech with the budget K18 Bug Detector And much more!
Author: Motoo Kimura
Publisher: Princeton University Press
ISBN: 0691210098
Category : Science
Languages : en
Pages : 233
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Book Description
To show the importance of stochastic processes in the change of gene frequencies, the authors discuss topics ranging from molecular evolution to two-locus problems in terms of diffusion models. Throughout their discussion, they come to grips with one of the most challenging problems in population genetics--the ways in which genetic variability is maintained in Mendelian populations. R.A. Fisher, J.B.S. Haldane, and Sewall Wright, in pioneering works, confirmed the usefulness of mathematical theory in population genetics. The synthesis their work achieved is recognized today as mathematical genetics, that branch of genetics whose aim is to investigate the laws governing the genetic structure of natural populations and, consequently, to clarify the mechanisms of evolution. For the benefit of population geneticists without advanced mathematical training, Professors Kimura and Ohta use verbal description rather than mathematical symbolism wherever practicable. A mathematical appendix is included.
Author: Asher D. Cutter
Publisher: Oxford University Press
ISBN: 0192575546
Category : Science
Languages : en
Pages : 266
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Book Description
What are the genomic signatures of adaptations in DNA? How often does natural selection dictate changes to DNA? How does the ebb and flow in the abundance of individuals over time get marked onto chromosomes to record genetic history? Molecular population genetics seeks to answer such questions by explaining genetic variation and molecular evolution from micro-evolutionary principles. It provides a way to learn about how evolution works and how it shapes species by incorporating molecular details of DNA as the heritable material. It enables us to understand the logic of how mutations originate, change in abundance in populations, and become fixed as DNA sequence divergence between species. With the revolutionary advances in genomic data acquisition, understanding molecular population genetics is now a fundamental requirement for today's life scientists. These concepts apply in analysis of personal genomics, genome-wide association studies, landscape and conservation genetics, forensics, molecular anthropology, and selection scans. This book introduces, in an accessible way, the bare essentials of the theory and practice of molecular population genetics.
Author: Gareth Halfacree
Publisher: John Wiley & Sons
ISBN: 1118464494
Category : Computers
Languages : en
Pages : 300
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Book Description
Make the most out of the world’s first truly compact computer It's the size of a credit card, it can be charged like a smartphone, it runs on open-source Linux, and it holds the promise of bringing programming and playing to millions at low cost. And now you can learn how to use this amazing computer from its co-creator, Eben Upton, in Raspberry Pi User Guide. Cowritten with Gareth Halfacree, this guide gets you up and running on Raspberry Pi, whether you're an educator, hacker, hobbyist, or kid. Learn how to connect your Pi to other hardware, install software, write basic programs, and set it up to run robots, multimedia centers, and more. Gets you up and running on Raspberry Pi, a high-tech computer the size of a credit card Helps educators teach students how to program Covers connecting Raspberry Pi to other hardware, such as monitors and keyboards, how to install software, and how to configure Raspberry Pi Shows you how to set up Raspberry Pi as a simple productivity computer, write basic programs in Python, connect to servos and sensors, and drive a robot or multimedia center Adults, kids, and devoted hardware hackers, now that you've got a Raspberry Pi, get the very most out of it with Raspberry Pi User Guide.
Author: Pierre Collet
Publisher: Springer
ISBN: 3540331441
Category : Computers
Languages : en
Pages : 372
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Book Description
This book constitutes the refereed proceedings of the 9th European Conference on Genetic Programming, EuroGP 2006, held in Budapest, Hungary, in April 2006, colocated with EvoCOP 2006. The 21 revised plenary papers and 11 revised poster papers were carefully reviewed and selected from 59 submissions. The papers address fundamental and theoretical issues, along with a wide variety of papers dealing with different application areas.
