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After hearing the sirens of a fire truck and an ambulance, Samantha starts thinking. How did they know when and where there was an emergency. Grandma said there was a special telephone number people could call. Grandma decided it was time for Samantha to learn how to use that special number.
This book contains a complete detailed description of two classes of special numbers closely related to classical problems of the Theory of Primes. There is also extensive discussions of applied issues related to Cryptography.In Mathematics, a Mersenne number (named after Marin Mersenne, who studied them in the early 17-th century) is a number of the form Mn = 2n - 1 for positive integer n.In Mathematics, a Fermat number (named after Pierre de Fermat who first studied them) is a positive integer of the form Fn = 2k+ 1, k=2n, where n is a non-negative integer.Mersenne and Fermat numbers have many other interesting properties. Long and rich history, many arithmetic connections (with perfect numbers, with construction of regular polygons etc.), numerous modern applications, long list of open problems allow us to provide a broad perspective of the Theory of these two classes of special numbers, that can be useful and interesting for both professionals and the general audience.
This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five articles, written by eminent scientists from the international mathematical community, including both research and survey works. Subjects covered include analytic number theory, combinatorics, special sequences of numbers and polynomials, analytic inequalities and applications, approximation of functions and quadratures, orthogonality and special and complex functions. The mathematical results and open problems discussed in this book are presented in a simple and self-contained manner. The book contains an overview of old and new results, methods, and theories toward the solution of longstanding problems in a wide scientific field, as well as new results in rapidly progressing areas of research. The book will be useful for researchers and graduate students in the fields of mathematics, physics and other computational and applied sciences.
From triangles, rotations and power laws, to cones, curves and the dreaded calculus, Alex takes you on a journey of mathematical discovery with his signature wit and limitless enthusiasm. He sifts through over 30,000 survey submissions to uncover the world’s favourite number, and meets a mathematician who looks for universes in his garage. He attends the World Mathematical Congress in India, and visits the engineer who designed the first roller-coaster loop. Get hooked on math as Alex delves deep into humankind’s turbulent relationship with numbers, and reveals how they have shaped the world we live in.
"Why do I always see the numbers 444 (or 111, 333, etc.) everywhere I go?" is one of the most frequently asked questions that Doreen Virtue receives at her worldwide workshops. In her best-selling book Healing with the Angels, Doreen included a chapter that briefly explained the meanings behind these number sequences, and many people have commented that they carry the book with them everywhere to help them interpret the numbers they see daily. By popular request from Doreen’s audience members, Angel Numbers has been created to serve as a pocket guide containing the angelic meanings of numbers from 0 to 999. Designed to fit into a purse or pocket for easy transport, Angel Numbers provides an interpretation of more complex number sequences than was previously available in Healing with the Angels. This new book focuses on numbers such as 123, 337, 885, and so on. Whether you’re seeing these numbers on license plates, telephone numbers, the clock, or other locations, they’re very real messages from the angels. Angel Numbers will help you instantly understand the meaning of these signs!
Publisher Description
An overview of special functions, focusing on the hypergeometric functions and the associated hypergeometric series.
This volume presents the idea that one studies orthogonal polynomials and special functions to use them to solve problems.
This book aims at introducing you to the great science of Pythagorean Numerology and connects you to some of the most basic patterns of your blue-print through which you will be able to expand your awareness and face your inner conflicts with confidence. You no more need to see your life as a jigsaw puzzle as all the missing pieces are about to fall in place.The beauty of Numerology is, it simplifies the chaos and makes all of it fall in a pattern. Looking inside becomes very simple when you break yourself down into some simple number codes. The most potent form of energy is how we think. Our thoughts are cosmic waves penetrating all time space. They are free to go anywhere anytime. Where we send them, how we think, and how we act upon, creates who we are. Everything around us is just a matter of one kind of energy interacting with another. When the two energies are compatible, the interaction is harmonious, while when two energies are incompatible, there is discord. Through this book you learn to be more at peace with yourself and widen the domain of your influence.
DISCOVER THE MEANING OF ANGEL NUMBER SEQUENCES AND NUMBER PATTERNS YOU SEE FROM BEST-SELLING ANGEL EXPERT AND AUTHOR OF RAISE YOUR VIBRATION, KYLE GRAY LEARN WHAT MESSAGES YOUR ANGELS HAVE FOR YOU WHEN YOU SEE NUMBERS FROM 0 THROUGH 999 LIKE 1:11, 2:22, AND 5:55 Are you seeing repeating numbers like 11:11 and 4:44 everywhere you turn? In Angel Numbers, world-renowned angel author Kyle Gray explains exactly what your angels and spirit guides are trying to tell you through repeated number sequences you see. In this day and age, our understanding of the cosmos is all calculated using numbers, so it’s no wonder that angels, the universe’s greatest divine messengers since the dawn of time, are using numbers to send us signs and messages from heaven. There’s a good chance you have seen number sequences appearing time and time again in your life—on license plates, purchase receipts, flight numbers and of course your phone—and these numbers aren’t just numbers, they’re angel numbers. They are angel messages and calls to action. Now that we are living in what can only be described as a digital age, angels are using the numbers we see on digital clocks, such as 11:11, 1:23, 21:12, 22:22, and 5:55 to help remind you of your higher truth. Some Example Angel Number Meanings: 12:12 You have the power to bring healing and light to the world. Notice how your intentions and actions are already doing just that. 4:44 Your guardian angels want you to know that they are with you. Your prayers are being heard loud and clear. Have faith. 1:23 You are moving up a step. All the challenges you have previously experienced are now being released. The angels of ascension are with you. “Kyle Gray is one of the world’s most incredibly gifted angel communicators. I have seen him work and he is authentic, intelligent, and deeply compassionate. I highly recommend him and all his creations!” – Colette Baron-Reid, international bestselling oracle expert Whenever you need guidance from your angels, simply ask. Angel Numbers is the perfect companion to refer to daily as a reminder that your angels are always listening and sending you loving messages to help with whatever you are going through.