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Kites, Birds & Stuff  -  AVRO Aircraft.
Avro Aircraft - One of the early manufacturers of Great Britain, during the 20th. Century.A comprehensive study of this British manufacturer.Containing around four hundred and fifty seven individual aircraft details.Performance, dimensions, weights, first flights, power units and other various details.Around two hundred and eighty eight pictures and with around eighty nine plan diagrams details.Containing around four hundred and fifty seven individual aircraft details.Including around two hundred and eighty eight pictures and eighty nine plan diagrams.
Kites, Birds & Stuff  -  SHORT Aircraft.
One of the early pioneering manufacturers of aircraft for Great Britain.A comprehensive study of this historic British manufacturer throughout their aviation years.Containing around two hundred and eighty seven individual aircraft details.Around two hundred and forty pictures with ninety eight plan diagrams.
Kites, Birds & Stuff  -  VICKERS Aircraft
One of the early pioneering aviation companies of Great Britain, during the early part of the 20th. century.A comprehensive study of this British manufacturer.Containing around six hundred and nineteen individual aircraft details.Around three hundred and eight pictures and one hundred and sixteen plan diagrams.
Kites, Birds & Stuff - BRISTOL Aircraft.
Bristol Aircraft - One of the early manufacturers of Great Britain, during the 20th. Century.A comprehensive study of this British manufacturer.Around four hundred and twenty four individual aircraft details.Around one hundred and fifty nine pictures with one and three plan diagrams.Containing around four hundred and twenty four individual aircraft details.Around one hundred and fifty nine pictures and one hundred and three plan diagrams.
Introduction to Spectral Theory

Introduction to Spectral Theory

P.D. Hislop; I.M. Sigal

Springer-Verlag New York Inc.
2012
nidottu
to Spectral Theory With Applications to Schr6dinger Operators Springer I.M. Sigal P.D. Hislop Department of Mathematics Department of Mathematics University of Kentucky University of Toronto Toronto, Ontario M5S lAI Lexington, KY 40506-0027 USA Canada Editors J .E. Marsden L. Sirovich Control and Dynamical Systems 104-44 Division of Applied Mathematics California 1 nstitute of Technology Brown University Pasadena, CA 91125 Providence, RI 02912 USA USA Mathematics Subject Classification (1991): S1Q05, 35JIO, 35Q55 LJbrary of Congress Cataloging-in-Publication Data Hislop, P.D., 1955- Introduction to spectrallheory : with applications 10 Schrodinger operators I P.D. Hislop, l.M. Siga!. p. cm. - (Applied mathematical sciences; v. 113) lncludes bibliographical references (p. ) and index. ISBN 978-1-4612-6888-8 ISBN 978-1-4612-0741-2 (eBook) DOI 10.1007/978-1-4612-0741-2 1. Schr6dinger operalors. 2. Spectraltheory (Mathematics) I. Siga1, hrael Michae!, 1945- . II. Title. III. Series: Applied mathematlcal sclem:es (Springer-Verlag New York Inc.); v. 113. QA1. A647 voI. 113 IQC 174.17. S3j 510 s-de20 [515 '7223[ 95-12926 Pri nte d o n acid -free paper . (c) 1996 Springer Science+Business Media New York Originally published by Springer-Verlag New Vork in 1996 Softcover reprint ofthe hardcover 15t edition 1996 AII rights reserved. This work may not be translated or copied in whole or in part without the written permission ofthe publisher Springer Science+Business Media, LLC, except for brief excerpts in connection with reviews or scholarly analysis.
Probabilistic Number Theory I

Probabilistic Number Theory I

P.D.T.A. Elliott

Springer-Verlag New York Inc.
2011
nidottu
In 1791 Gauss made the following assertions (collected works, Vol. 10, p.ll, Teubner, Leipzig 1917): Primzahlen unter a ( = 00 ) a la Zahlen aus zwei Factoren lla* a la (warsch.) aus 3 Factoren 1 (lla)2a --- 2 la et sic in info In more modern notation, let 1tk(X) denote the number of integers not exceeding x which are made up of k distinct prime factors, k = 1, 2, ...Then his assertions amount to the asymptotic estimate x (log log X)k-l ( ) 1tk X '" --"';"'-"---"::--:-'-,- (x-..oo). log x (k-1)! The case k = 1, known as the Prime Number Theorem, was independently established by Hadamard and de la Vallee Poussin in 1896, just over a hundred years later. The general case was deduced by Landau in 1900; it needs only an integration by parts. Nevertheless, one can scarcely say that Probabilistic Number Theory began with Gauss. In 1914 the Indian original mathematician Srinivasa Ramanujan arrived in England. Six years of his short life remained to him during which he wrote, amongst other things, five papers and two notes jointly with G. H. Hardy.
Probabilistic Number Theory II

Probabilistic Number Theory II

P.D.T.A. Elliott

Springer-Verlag New York Inc.
2011
nidottu
In this volume we study the value distribution of arithmetic functions, allowing unbounded renormalisations. The methods involve a synthesis of Probability and Number Theory; sums of independent infinitesimal random variables playing an important role. A central problem is to decide when an additive arithmetic function fin) admits a renormalisation by real functions a(x) and {3(x) > 0 so that asx ~ 00 the frequencies vx(n;f (n) - a(x) :s;; z {3 (x) ) converge weakly; (see Notation). In contrast to volume one we allow {3(x) to become unbounded with x. In particular, we investigate to what extent one can simulate the behaviour of additive arithmetic functions by that of sums of suit­ ably defined independent random variables. This fruiful point of view was intro­ duced in a 1939 paper of Erdos and Kac. We obtain their (now classical) result in Chapter 12. Subsequent methods involve both Fourier analysis on the line, and the appli­ cation of Dirichlet series. Many additional topics are considered. We mention only: a problem of Hardy and Ramanujan; local properties of additive arithmetic functions; the rate of convergence of certain arithmetic frequencies to the normal law; the arithmetic simulation of all stable laws. As in Volume I the historical background of various results is discussed, forming an integral part of the text. In Chapters 12 and 19 these considerations are quite extensive, and an author often speaks for himself.
Arithmetic Functions and Integer Products

Arithmetic Functions and Integer Products

P.D.T.A. Elliott

Springer-Verlag New York Inc.
2011
nidottu
Every positive integer m has a product representation of the form where v, k and the ni are positive integers, and each Ei = ± I. A value can be given for v which is uniform in the m. A representation can be computed so that no ni exceeds a certain fixed power of 2m, and the number k of terms needed does not exceed a fixed power of log 2m. Consider next the collection of finite probability spaces whose associated measures assume only rational values. Let hex) be a real-valued function which measures the information in an event, depending only upon the probability x with which that event occurs. Assuming hex) to be non­ negative, and to satisfy certain standard properties, it must have the form -A(x log x + (I - x) 10g(I -x». Except for a renormalization this is the well-known function of Shannon. What do these results have in common? They both apply the theory of arithmetic functions. The two widest classes of arithmetic functions are the real-valued additive and the complex-valued multiplicative functions. Beginning in the thirties of this century, the work of Erdos, Kac, Kubilius, Turan and others gave a discipline to the study of the general value distribution of arithmetic func­ tions by the introduction of ideas, methods and results from the theory of Probability. I gave an account of the resulting extensive and still developing branch of Number Theory in volumes 239/240 of this series, under the title Probabilistic Number Theory.
One of Thirteen

One of Thirteen

P D Ingledew

Lulu Press Inc
2012
pokkari
The Prophecy spoke of another thirteen, to destroy or create the future. They were named the Damned Thirteen. He is one of thirteen, he is Hareem, he is Markus. He is alone. His Matriarch torn apart before him, deserted, abandoned, he has no-one. He cannot reconnect with humanity, or for that matter his own kind. He is lost, adrift amongst the detritus of the world, with no reason to live. Yet a reason presents itself in the form of Walker. He is one of thirteen, he is Walker, his humanity stolen from him, restrained from his family by his own cravings, the beast within him struggling to take control, to slake it's thirst for blood and unleash devastation. Together as brothers, they must find redemption; they must find a purpose where atonement is possible. But war is a difficult place to gain retribution. One of Thirteen is the fifth volume in the gripping Crimson Lore saga, a further tale dreamt up by the extraordinary imagination of P D Ingledew, of blood, loss and retribution.
A Handbook of the Fighting Races of India

A Handbook of the Fighting Races of India

P D Bonarjee

NAVAL MILITARY PRESS
2024
pokkari
From the late nineteenth century, the Martial Race theory shaped the recruitment policy. It outlined that some Indian men, because of their 'caste' or ethnic group affiliations, were more 'suitable' soldiers and should be targeted for recruitment. Within the British Indian Army, the 'martial' groups included Gurkhas (mostly from Nepal) and Sikhs and Muslims from Punjab. With certain modifications, this theory remained operational to the first decade of the twentieth century. The construction of the 'martial races' enabled the British to play-off different communities against each other to prevent the emergence of a unified anti-British sentiment among the colonised.A detailed review of the Native Army intended to give the raw British officer an indication of the fighting material and capabilities of the Indian Army after the Presidency armies were abolished in 1895. The races discussed in the book are: Pathans, Baluchis, Punjabi Mahomedans, Sikhs, Gurkhas, Dogras, Jats, Aboriginal Tribes, Garhwalis, Hindustani Mahomedans, Rajputs, Mahrattas, Fighting race of South India and Miscellaneous Tribes. This is the standard work on the subject containing much of value on the so-called martial races.
The Goodness

The Goodness

P D Janzen

Word Alive Press
2021
pokkari
Trish is a nurse working in a busy Labour and Delivery unit in a large city hospital. One night shift will change her life forever, but will she see any of it as "good"? Grant and Stacy have suffered loss before and now live in the hope that their dreams will come true. The arrival of their baby girl is an answer to their prayers, but the joyous celebration soon turns tragic. An unexpected love, challenging family relationships, a mysterious relative, and other surprises infuse Someone of Substance: the Goodness as these families come to understand that sometimes "good" isn't always recognizable. Readers will love this novel about the great and bountiful goodness of God-even when we don't see it.