Results 11 to 20 of about 13,596 (196)

On generalized bihyperbolic Mersenne numbers [PDF]

Mathematica Bohemica, 2023
In this paper, a new generalization of Mersenne bihyperbolic numbers is introduced. Some of the properties of presented numbers are given. A general bilinear index-reduction formula for the generalized bihyperbolic Mersenne numbers is obtained.
Dorota Bród, Anetta Szynal-Liana
doaj   +2 more sources

Features of digital signal processing algorithms using Galois fields GF(2n+1). [PDF]

PLoS ONE, 2023
An alternating representation of integers in binary form is proposed, in which the numbers -1 and +1 are used instead of zeros and ones. It is shown that such a representation creates considerable convenience for multiplication numbers modulo p = 2n+1 ...
Ibragim E Suleimenov, Yelizaveta S Vitulyova, Dinara K Matrassulova   +2 more
doaj   +2 more sources

Generalised Mersenne Numbers Revisited [PDF]

Mathematics of Computation, 2011
Generalised Mersenne Numbers (GMNs) were defined by Solinas in 1999 and feature in the NIST (FIPS 186-2) and SECG standards for use in elliptic curve cryptography.
Granger, Robert, Moss, Andrew
core   +7 more sources

The Challenge of Time‐to‐Event Analysis for Multiple Events: A Guided Tour From Time‐to‐First‐Event to Recurrent Time‐to‐Event Analysis [PDF]

Biometrical Journal, Volume 68, Issue 1, February 2026.
ABSTRACT Clinical trials often compare a treatment to a control group concerning multiple possible combined time‐to‐event endpoints like hospital‐free survival. Thereby, the first endpoint may occur more than once (“recurrent”), whereas the second endpoint is absorbing. Inclusion of all observed events in the analysis can increase the power and provide
Sandra Schmeller, Alexandra Erdmann, Jan Beyersmann, Christiane Angermann, Ann‐Kathrin Ozga   +4 more
wiley   +2 more sources

Learned pseudo-random number generator: WGAN-GP for generating statistically robust random numbers. [PDF]

PLoS ONE, 2023
Pseudo-random number generators (PRNGs) are software algorithms generating a sequence of numbers approximating the properties of random numbers. They are critical components in many information systems that require unpredictable and nonarbitrary ...
Kiyoshiro Okada, Katsuhiro Endo, Kenji Yasuoka, Shuichi Kurabayashi   +3 more
doaj   +2 more sources

Validation of the collapsed‐cone superposition for whole‐body patient‐specific dosimetry in [177Lu]Lu‐PSMA‐617 radionuclide therapy [PDF]

Medical Physics, Volume 52, Issue 8, August 2025.
Abstract Background Patient‐specific dosimetry in radiopharmaceutical therapy (RPT) offers a promising approach to optimize the balance between treatment efficacy and toxicity. The introduction of 360° CZT gamma cameras enables the development of personalized dosimetry studies using whole‐body single photon emission computed tomography and computed ...
Aya Terro, Solène Perret, Arthur Dumouchel, David Tonnelet, Agathe Edet‐Sanson, Pierre Vera, Pierre Decazes, Arnaud Dieudonné   +7 more
wiley   +2 more sources

The specifics of the Galois field GF(257) and its use for digital signal processing [PDF]

Scientific Reports
An algorithm of digital logarithm calculation for the Galois field $$GF(257)$$ G F ( 257 ) is proposed. It is shown that this field is coupled with one of the most important existing standards that uses a digital representation of the signal through 256 ...
Akhat Bakirov, Dinara Matrassulova, Yelizaveta Vitulyova, Dina Shaltykova, Ibragim Suleimenov   +4 more
doaj   +2 more sources

Mersenne Numbers: consolidated results [PDF]

, 1986
This document provides and comments on the results of the Lucas-Lehmer testing and/or partial factorisation of all Mersenne Numbers Mp = 2^p-1 where p is prime and less than 100,000. Previous computations have either been confirmed or corrected.
Haworth, Guy McCrossan, Holmes, Steve, Hunt, David, Lake, Tom, Reddaway, Stewart   +4 more
core   +2 more sources

Assessing the problem of excitation light scattering in high‐viscosity jets used in serial crystallography sample delivery [PDF]

Journal of Applied Crystallography, Volume 58, Issue 6, Page 2078-2089, December 2025.
We experimentally demonstrate that the scattering‐induced decrease in light intensity experienced by a crystal embedded in a high‐viscosity jet is very limited in materials such as lipidic cubic phase or hydroxyethyl cellulose, and therefore cannot justify the use of pump energies exceeding the linear excitation regime under realistic experimental ...
Stanisław Niziński, Bogdan Marekha, Jochen Reinstein, Robert L. Shoeman, R. Bruce Doak, Ilme Schlichting   +5 more
wiley   +2 more sources

Mersenne version of Brocard-Ramanujan equation

Journal of New Results in Science, 2023
In this study, we deal with a special form of the Brocard-Ramanujan equation, which is one of the interesting and still open problems of Diophantine analysis.
Ayşe Nalli, Seyran İbrahimov
doaj   +1 more source