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Displaying 61 – 80 of 211

A Necessary and Sufficient Condition for the Existence of an (n,r)-arc in PG(2,q) and Its Applications

Hamada, Noboru, Maruta, Tatsuya, Oya, Yusuke (2012)

Serdica Journal of Computing

ACM Computing Classification System (1998): E.4.Let q be a prime or a prime power ≥ 3. The purpose of this paper is to give a necessary and sufficient condition for the existence of an (n, r)-arc in PG(2, q ) for given integers n, r and q using the geometric structure of points and lines in PG(2, q ) for n > r ≥ 3. Using the geometric method and a computer, it is shown that there exists no (34, 3) arc in PG(2, 17), equivalently, there exists no [34, 3, 31] 17 code.This research was partially...

A new approach to mutual information

Fumio Hiai, Dénes Petz (2007)

Banach Center Publications

A new expression as a certain asymptotic limit via "discrete micro-states" of permutations is provided for the mutual information of both continuous and discrete random variables.

A new approach to mutual information. II

Fumio Hiai, Takuho Miyamoto (2010)

Banach Center Publications

A new concept of mutual pressure is introduced for potential functions on both continuous and discrete compound spaces via discrete micro-states of permutations, and its relations with the usual pressure and the mutual information are established. This paper is a continuation of the paper of Hiai and Petz in Banach Center Publications, Vol. 78.

A new approach to the ElGamal encryption scheme

Czesław Kościelny (2004)

International Journal of Applied Mathematics and Computer Science

The ElGamal encryption scheme can be used for both digital signatures and encryption, and its security results from the difficulty of calculating discrete logarithms in a finite field. This algorithm usually works in a multiplicative group of GF(p) and in this case the progress in the discrete logarithm problem forces the users of such a basic ElGamal public key cryptosystem to permanently increase a prime modulus p in order to ensure the desired security. But the task of finding a multiplicative...

A new definition of the fuzzy set

Andrzej Piegat (2005)

International Journal of Applied Mathematics and Computer Science

The present fuzzy arithmetic based on Zadeh's possibilistic extension principle and on the classic definition of a fuzzy set has many essential drawbacks. Therefore its application to the solution of practical tasks is limited. In the paper a new definition of the fuzzy set is presented. The definition allows for a considerable fuzziness decrease in the number of arithmetic operations in comparison with the results produced by the present fuzzy arithmetic.

A new formulation and solution of the sequencing problem: mathematical model

J. Grabowski (1976)

Applicationes Mathematicae

A new generalization of entropy and its characterization

Bhu Dev Sharma, Ishwar Singh (1979)

Kybernetika

A new high-speed foreign fiber detection system with machine vision.

Chen, Zhiguo, Xu, Wenbo, Leng, Wenhao, Fu, Yi (2010)

Mathematical Problems in Engineering

A new lower bound for the football pool problem for $7$ matches

Laurent Habsieger (1996)

Journal de théorie des nombres de Bordeaux

Let $K_{3} (7, 1)$ denote the minimum cardinality of a ternary code of length $7$ and covering radius one. In a previous paper, we improved on the lower bound $K_{3} (7, 1) \geq 147$ by showing that $K_{3} (7, 1) \geq 150$ . In this note, we prove that $K_{3} (7, 1) \geq 153$ .

A new method for the nonlinear approximation of signals. I. The optimal damping factor

Jaromír Štěpán (1986)

Kybernetika

A new method for the nonlinear approximation of signals. II. The convergence problem

Jaromír Štěpán (1986)

Kybernetika

A new method of constructing a lattice basis and its applications to cryptanalyse short exponent RSA.

Wang, Mingqiang, Zhang, Haifeng (2010)

Mathematical Problems in Engineering

A New overlapping community detection algorithm based on similarity of neighbors in complex networks

Pelin Çetin, Sahin Emrah Amrahov (2022)

Kybernetika

Community detection algorithms help us improve the management of complex networks and provide a clean sight of them. We can encounter complex networks in various fields such as social media, bioinformatics, recommendation systems, and search engines. As the definition of the community changes based on the problem considered, there is no algorithm that works universally for all kinds of data and network structures. Communities can be disjointed such that each member is in at most one community or...

A new sphere packing in 20 dimensions.

Alexander Vardy (1995)

Inventiones mathematicae

A new table of constant weight codes of length greater than 28.

Smith, D.H., Hughes, L.A., Perkins, S. (2006)

The Electronic Journal of Combinatorics [electronic only]

A new variational model for segmenting objects of interest from color images.

Zhai, Yanli, Wu, Boying, Zhang, Dazhi, Sun, Jiebao (2010)

Mathematical Problems in Engineering

A non-convex diffusion model for simultaneous image denoising and edge enhancement.

Kim, Seongjai, Lim, Hyeona (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

A Nonlinear Parabolic Model in Processing of Medical Image

R. Aboulaich, S. Boujena, E. El Guarmah (2008)

Mathematical Modelling of Natural Phenomena

The image's restoration is an essential step in medical imaging. Several Filters are developped to remove noise, the most interesting are filters who permits to denoise the image preserving semantically important structures. One class of recent adaptive denoising methods is the nonlinear Partial Differential Equations who knows currently a significant success. This work deals with mathematical study for a proposed nonlinear evolution partial differential equation for image processing. The existence...

A nonnegatively constrained trust region algorithm for the restoration of images with an unknown blur.

Bardsley, Johnathan M. (2005)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

A note on characterizations of entropies

J. S. Chawla (1977)

Kybernetika

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