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When the following problem is not well posed (either because of non-existence or non-uniqueness of where may be ill-conditioned or singular). In the latter case this is no better than the original problem. In order to give preference to a particular solution with desirable properties, the regularization term is included in this minimization: for some suitably chosen Tikhonov matrix, Tikhonov regularization Tikhonov regularization
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Steven Lehar slehar@cns.bu.edu Fourier theory is pretty complicated mathematically. But there are some beautifully simple holistic concepts behind Fourier theory which are relatively easy to explain intuitively. An Intuitive Explanation of Fourier Theory An Intuitive Explanation of Fourier Theory
Annals of Mathematics: Manifold Destiny On the evening of June 20th, several hundred physicists, including a Nobel laureate, assembled in an auditorium at the Friendship Hotel in Beijing for a lecture by the Chinese mathematician Shing-Tung Yau. In the late nineteen-seventies, when Yau was in his twenties, he had made a series of breakthroughs that helped launch the string-theory revolution in physics and earned him, in addition to a Fields Medal—the most coveted award in mathematics—a reputation in both disciplines as a thinker of unrivalled technical power. Yau had since become a professor of mathematics at Harvard and the director of mathematics institutes in Beijing and Hong Kong, dividing his time between the United States and China. His lecture at the Friendship Hotel was part of an international conference on string theory, which he had organized with the support of the Chinese government, in part to promote the country’s recent advances in theoretical physics. Annals of Mathematics: Manifold Destiny
Annals of Mathematics: Manifold Destiny On the evening of June 20th, several hundred physicists, including a Nobel laureate, assembled in an auditorium at the Friendship Hotel in Beijing for a lecture by the Chinese mathematician Shing-Tung Yau. In the late nineteen-seventies, when Yau was in his twenties, he had made a series of breakthroughs that helped launch the string-theory revolution in physics and earned him, in addition to a Fields Medal—the most coveted award in mathematics—a reputation in both disciplines as a thinker of unrivalled technical power. Yau had since become a professor of mathematics at Harvard and the director of mathematics institutes in Beijing and Hong Kong, dividing his time between the United States and China. Annals of Mathematics: Manifold Destiny
A First Course in Linear Algebra (A Free Textbook) A First Course in Linear Algebra (A Free Textbook) Updated for Spring courses, Version 3.20 now available. A Second Course in Linear Algebra will begin soon at the skunk works page. Download First-Time Visitors: All of the content of A First Course in Linear Algebra can be easily browsed in the online version.
Ulam spiral of size 200×200. Black dots represent prime numbers. Diagonal, vertical, and horizontal lines with a high density of prime numbers are clearly visible. The Ulam spiral, or prime spiral (in other languages also called the Ulam Cloth) is a simple method of visualizing the prime numbers that reveals the apparent tendency of certain quadratic polynomials to generate unusually large numbers of primes. Ulam spiral

Ulam spiral

Announcement: If latex is installed on your server then see mathTeX , the successor to mimeTeX. It's based on real LaTeX and renders higher quality images than mimeTeX. If latex is not available on your server, continue using mimeTeX. mimeTeX quickstart mimeTeX quickstart
LatexRender & TeX Converter TEX Converter is for 32 bit Windows 95/98/Me/NT/2000/XP Programs that you'll need MiKTEX TeX4ht Useful book The Latex Web Companion by Michael Goosens and Sebastian Rahtz Amazon USA Amazon UK Internet Bookshop LatexRender & TeX Converter
Scientific Library -- Reference Manual This file documents the GNU Scientific Library (GSL), a collection of numerical routines for scientific computing. It corresponds to release 1.16+ of the library. Please report any errors in this manual to bug-gsl@gnu.org. More information about GSL can be found at the project homepage, http://www.gnu.org/software/gsl/. Printed copies of this manual can be purchased from Network Theory Ltd at http://www.network-theory.co.uk/gsl/manual/. The money raised from sales of the manual helps support the development of GSL. Scientific Library -- Reference Manual
Whats Special About This Number?

Whats Special About This Number?

What's Special About This Number? If you know a distinctive fact about a number not listed here, please e-mail me. primes graphs digits sums of powers bases combinatorics powers/polygonal Fibonacci
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The Mystery Of The Ale The Mystery Of The Aleph: Mathematics, the Kabbalah, and the Search for Infinity By Amir D. Aczel Four Walls Eight Windows. 304 pp. $24.95 Thursday, November 16, 2000 Chapter One
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Before I can explain my decades-long quest to map the starmaze I must acquaint you with a small puzzle. You will see a simple pattern consisting of circles and squares. Begin by clicking on the square in the center. Starmaze Intro
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