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Titlebook: Mathematical SETI; Statistics, Signal P Claudio Maccone Book 2012 Springer-Verlag Berlin Heidelberg 2012 Drake Equation.FFT.Fast Fourier Tr

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发表于 2025-3-21 19:32:12 | 显示全部楼层 |阅读模式
书目名称Mathematical SETI
副标题Statistics, Signal P
编辑Claudio Maccone
视频video
概述The first book to include a full mathematical derivation of the Statistical Drake Equation and describe its many applications.Demonstrates high level mathematical techniques for the solution of a vari
丛书名称Springer Praxis Books
图书封面Titlebook: Mathematical SETI; Statistics, Signal P Claudio Maccone Book 2012 Springer-Verlag Berlin Heidelberg 2012 Drake Equation.FFT.Fast Fourier Tr
描述.This book introduces the Statistical Drake Equation where, from a simple product of seven positive numbers, the Drake Equation is turned into the product of seven positive random variables. The mathematical consequences of this transformation are demonstrated and it is proven that the new random variable N for the number of communicating civilizations in the Galaxy must follow the lognormal probability distribution when the number of factors in the Drake equation is allowed to increase at will..Mathematical SETI also studies the proposed FOCAL (Fast Outgoing Cyclopean Astronomical Lens) space mission to the nearest Sun Focal Sphere at 550 AU and describes its consequences for future interstellar precursor missions and truly interstellar missions. In addition the author shows how SETI signal processing may be dramatically improved by use of the Karhunen-Loève Transform (KLT) rather than Fast Fourier Transform (FFT). Finally, he describes the efforts made to persuade the UnitedNations to make the central part of the Moon Far Side a UN-protected zone, in order to preserve the unique radio-noise-free environment for future scientific use..
出版日期Book 2012
关键词Drake Equation; FFT; Fast Fourier Transform; Habitability; Habitable Zone; Hipparcos Catalogue; KLT; Karhun
版次1
doihttps://doi.org/10.1007/978-3-642-27437-4
isbn_softcover978-3-662-50609-7
isbn_ebook978-3-642-27437-4
copyrightSpringer-Verlag Berlin Heidelberg 2012
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发表于 2025-3-22 00:07:21 | 显示全部楼层
Civilizations as finite ,-lognormals: Mathematical historywever, with newer civilizations. To cast all this in terms of mathematical equations is hard. The reason nobody has done so is because the task is so daunting. Indeed, no course on Mathematical History is taught at any university in the world.
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Letting Maxima do the calculationsBy “mathematical books” we mean books with plenty of written equations.
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How many planets for man and aliens?Let us now change topics completely! Rather than looking for ETs in the Galaxy, we now seek habitable planets for man in the Galaxy. How many are there and how far from us is the nearest such habitable planet?
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Life-span modeling by finite ,-lognormalsIt is well known that the probability density function(pdf) .of the random variable .where a and b are arbitrary real constants with respect to the independent variable x, is related to the pdf.of the random variable X by the linear transformation formula for random variables that reads:
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