Shors Algorithm
Abstract
In contrast to finding and multiplying of large prime numbers, no efficient classical algorithm for the factorization of a large number is known. The multiplication of large prime numbers is therefore a one-way function i.e. a function which can be evaluated easily in one direction, while its inversion is practically impossible. While it is generally believed that efficient prime factorization on a classical co ....etc

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ABSTRACT
Transforms that maps integers to integers have advantagesnot available for floating point transforms. Integercomputations are faster and free from round off errors(integer transforms are widely used for lossless coding). Thepaper presents an algorithm of Integer Fast FourierTransform (intFFT) based on lifting factorization. IntegerDiscrete Cosine Transform (intDCT) is also computed as anexample of intFFT application.
1. INTRODUCTION
Great interest in the topic of integer transforms can beobserved in literature during ....etc

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H.C.F. AND L.C.M. OF NUMBERS
IMPORTANT FACTS AND FORMULAE
I. Factors and Multiples : If a number a divides another number b exactly, we say that a is a factor of b. In this case, b is called a multiple of a.
II. Highest Common Factor (H.C.F.) or Greatest Common Measure (G.C.M.) or Greatest Common Divisor (G.C.D.): The H.C.F. of two or more than two numbers is the greatest number that divides each of them exactly.
There are two methods of finding the H.C.F. of a given set of numbers :
1. Factorization Metho ....etc

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Imagine a computer whose memory is exponentially larger than its apparent physical size; a computer that can manipulate an exponential set of inputs simultaneously; a computer that computes in the twilight zone of Hilbert space. You would be thinking of a quantum computer. Relatively few and simple concepts from quantum mechanics are needed to make quantum computers a possibility. The subtlety has been in learning to manipulate these concepts. Is such a computer an inevitability or will it is too difficult to build?

The subject of quantum co ....etc

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I need matlab code of image denoising by ICA.
Would you please send it to me?
Best regards
Sahar Janii
s.janiistu.nit.ac.ir ....etc

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Abstract
Nonnegative matrix factorization (nmf) is a powerful and well-established technique in data mining. We generalize nmf signi_cantly by introducing several new and rich formulations for sparse nonnegative matrix factorization (snmf). Our formulations are substantially more general than previously studied snmf problems. In particular, we model sparsity via constraints and regularizers, for which we describe a variety of concrete choices of sparsity tuning functions. To solve snmf, we develop convergent and computationally e_cien ....etc

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Abstract
Nonnegative matrix factorization (nmf) is a powerful and well-established technique in data mining. We generalize nmf signi_cantly by introducing several new and rich formulations for sparse nonnegative matrix factorization (snmf). Our formulations are substantially more general than previously studied snmf problems. In particular, we model sparsity via constraints and regularizers, for which we describe a variety of concrete choices of sparsity tuning functions. To solve snmf, we develop convergent and computationally e_cien ....etc

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PREFACE

The DSP world today is ruled by different transforms. Discrete Fourier transforms are most used. So is the fast Fourier transform, which is the faster version of DFT.
Suppose we take FFT of a signal. On taking the inverse fast Fourier transform,we except the output to be the same as the input.This is called the invertibility property.But on most occasions, dissapointment is the result. This is due to the finite word length of the registers used to store the samples and the coefficients.
This seminar introduces a method called integ ....etc

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INTRODUCTION
The history of computer technology has involved a sequence of changes ~ZT\ one type of physical realization to another from gears to relays to valves to ~3nsistors to integrated circuits and so on. Today's advanced lithographic *r-:hniques can squeeze fraction of micron wide logic gates and wires onto the s^face of silicon chips. Soon they will yield even smaller parts and inevitably ¦each a point where logic gates are so small that they are made out of only a -^ndful of atoms; i.e. the size of the lo ....etc

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i look for elliptic curve cryptography in ns2 ....etc

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hi am gaurav sharma i would like to get details on elliptcal curve cryptography key generation,encryption and decryption key vhdl code. this is my thesis topic and I want to know more about it.I need help ....etc

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hi plz send detail riport for the below title.

Topology preserving non negative matrix factorization for face recognition ....etc

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