Results 71 to 80 of about 1,108 (208)

Mersenne Matrix Operator and Its Application in $p-$Summable Sequence Space

open access: yesCommunications in Advanced Mathematical Sciences
In this study, it is introduced the regular Mersenne matrix operator which is obtained by using Mersenne numbers and examined sequence spaces described as the domain of this matrix in the space of $p$-summable sequences for $1\leq p \leq \infty$.
Sezer Erdem, Serkan Demiriz
doaj   +1 more source

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

open access: yesMedical 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   +7 more
wiley   +1 more source

On the Mersenne Prime Numbers

open access: yes, 2020
The prime numbers have been an important field of research for thousands of years and are intertwined with most other fields of mathematics. One topic that has piqued the interest of mathematicians young and old is the Mersenne prime numbers, which have ...
VanLandingham, Julia
core  

Application for Determining Repeatability and Reproducibility in an Honest Gauge R&R Study

open access: yesQuality and Reliability Engineering International, Volume 41, Issue 5, Page 1953-1970, July 2025.
ABSTRACT The analysis of variance (ANOVA) method and the range method are employed to conduct gauge repeatability and reproducibility studies. While the range method does not account for the statistical nature of the data, unlike the ANOVA method, it is, on the one hand, faster and, on the other hand, simpler to implement.
Alban Petitjean, Olivier Musset
wiley   +1 more source

Image Compression Based on Mapping Image Fractals to Rational Numbers

open access: yesIEEE Access, 2018
The advent of the Internet era and advances in telecommunications has seen image compression attract a great deal of research. Enhancements to the quality and ratio of image compression have been achieved through approaches, such as neural networks and ...
Mohammed Omari, Salah Yaichi
doaj   +1 more source

Testing Randomness Using Artificial Neural Network

open access: yesIEEE Access, 2020
The vital characteristic of randomness is unpredictability. Thus any regularity will compromise the application of random numbers. Quantum random number generators (QRNGs) can provide intrinsic unpredictable randomness based on the nature of quantum ...
Yulong Feng, Lingyi Hao
doaj   +1 more source

On the factors of certain Mersenne numbers. II [PDF]

open access: yesMathematics of Computation, 1964
Verf. läßt einer mit \textit{G. D. Johnson} gemeinsam veröffentlichten Arbeit [Math. Comput. 14, 365--369 (1960; Zbl 0099.26305)] einen zweiten Teil folgen. Dieser verzeichnet \(899\) neue Faktoren \(q\) von \(M_p\), für \(383\le p < 20000\) und dient gleichsam als Vervollständigung früherer derartiger Verzeichnisse, etwa \textit{S.
openaire   +2 more sources

Groups with triangle‐free graphs on p$p$‐regular classes

open access: yesMathematische Nachrichten, Volume 298, Issue 6, Page 1796-1807, June 2025.
Abstract Let p$p$ be a prime. In this paper, we classify the p$p$‐structure of those finite p$p$‐separable groups such that, given any three non‐central conjugacy classes of p$p$‐regular elements, two of them necessarily have coprime lengths.
M. J. Felipe   +2 more
wiley   +1 more source

Sequences in finite fields yielding divisors of Mersenne, Fermat and Lehmer numbers, II [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
Let ρ be an odd prime ≥ 11. In Part I, starting from an M-cycle in a finite field 𝔽_ρ, we have established how the divisors of Mersenne, Fermat and Lehmer numbers arise.
A. M. S. Ramasamy
doaj   +1 more source

Kenelm Digby's logic of common and natural notions

open access: yesThe Southern Journal of Philosophy, Volume 63, Issue 2, Page 157-173, June 2025.
Abstract In this article, I take a fresh look at the logic of common and natural notions contained in the Two Treatises published in 1644 by Kenelm Digby (1603–1665). Digby's doctrine of common notions was an attempt to retrofit Aristotelianism in order to bring it out of the shadows of scholasticism and into the age of the new experimental and ...
Mogens Lærke
wiley   +1 more source

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