Wolfram. They Tried to Outsmart Wall Street. Basics - Gut Instinct’s Surprising Role in Math. Tikhonov regularization. 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, . , is given by: TNT Home Page. An Intuitive Explanation of Fourier Theory. 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. 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. A First Course in Linear Algebra (A Free Textbook) Ulam spiral. 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.

MimeTeX quickstart. 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. Copyright © 2002-2011, John Forkosh Associates, Inc. email: john@forkosh.com —— Important Notice —— 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 TEX Converter is freeware written by Steve Mayer © Steve Mayer 1999 LatexRender for PHP Steve's Maths Pages Introduction.

Scientific Library. 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, Printed copies of this manual can be purchased from Network Theory Ltd at The money raised from sales of the manual helps support the development of GSL. 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. Welcome to CalcEnstein - The Ultimate Web. The Mystery Of The Ale. TNT Documentation Page. Theme and Variations (Netscape version) Starmaze Intro. 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. The pattern will change. Keep clicking. Spidron System & Main Page. PORT.hu.

Scilab Home Page. Play with PI. Untitled. [P] failure functions - another example by akdevarajApr 14 Let our definition of a failure be a non - Devarajnumber which is not a Carmichael number ( see A104017 on OEIS ).Let the mother function be 2^n + 3113.

Then n = 16 + 42*k is a failure function ). [P] Failure functions - role of by akdevarajApr 13 failure functions play an important role in proving a conjecture indirectly. See sketch proof. [P] failure functions - another example by akdevarajApr 12 Here k belongs to N.When n= 10, f(n) = 1105, a Carmichael number; however when n is generated by the failure function 18 + 20*k we get values of f(n) which are not square free and hence incapable of being Carmichael numbers i.e. failures. Numerical Recipes in C.

NumberSpiral.com. Mathematical Symbol. By Douglas Weaver Mathematics Coordinator, Taperoo High School with the assistance of Anthony D. Smith Computing Studies teacher, Taperoo High School. Introduction On the topic of mathematical symbols..... Math Link. Modern Algebra. BEATCALC. Main Page - Knot Atla. LAPACK Users Guide. How to Read Mathematic. Golden ratio - Wikipedia, the free encyclo. Line segments in the golden ratio In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.

The figure on the right illustrates the geometric relationship. Expressed algebraically, for quantities a and b with a > b > 0, The golden ratio is also called the golden section (Latin: sectio aurea) or golden mean.[1][2][3] Other names include extreme and mean ratio,[4] medial section, divine proportion, divine section (Latin: sectio divina), golden proportion, golden cut,[5] and golden number.[6][7][8] Geometric Paper Folding: Dr. David Huffman. Nov 1996 David Huffman has been creating some very complex and original folded structures.

He works with both straight and curved folds, using mathematical techniques that he has developed over many years. Mr. Huffman teaches at the University of California at Santa Cruz. Folding Paper in Half Twelve Time. Folding Paper in Half 12 Times: The story of an impossible challenge solved at the Historical Society office Alice laughed: "There's no use trying," she said; "one can't believe impossible things. " "I daresay you haven't had much practice," said the Queen. Through the Looking Glass by L. College Algebra Homepage. If you need help in college algebra, you have come to the right place.

Clickable Map of Mathematic. This page is designed as a visual index to the subfields of mathematics. If your browser supports clickable image maps, you should be able to click on an area of the map to bring up the index page for that area. Category Theory. Stanford Encyclopedia of Philosophy. Ars Mathematica. Approximation theory - Wikipedia, the free. American Mathematical Society: Mathematic. A Different Kind of Multiplication.