Results 91 to 100 of about 1,598,417 (209)

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

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   +1 more source

Generalizing the eight levels theorem: a journey to Mersenne prime discoveries and new polynomial classes

Arab Journal of Basic and Applied Sciences
Mersenne primes, renowned for their captivating form as [Formula: see text] have intrigued mathematicians for centuries. In this paper, we embark on a captivating quest to unveil the intricate nature of Mersenne primes, seamlessly integrating methods ...
Moustafa Ibrahim
doaj   +1 more source

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

Quality 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

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

Mathematische 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, M. K. Jean‐Philippe, V. Sotomayor   +2 more
wiley   +1 more source

A Study on the k-Mersenne and k-Mersenne-Lucas Sequences

Universal Journal of Mathematics and Applications
In this study, we examine an application of $k-$Mersenne and $k-$Mersenne-Lucas sequences. We present the Catalan transforms of these sequences and give the properties of these Catalan transforms. Catalan transforms of $k-$Mersenne and $k-$Mersenne-Lucas
Mine Uysal, Hakan Akkuş, Bayram Şen, Engin Özkan   +3 more
doaj   +1 more source

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

Notes on Number Theory and Discrete Mathematics
The aim of this work is to present a method using the cyclic sequences {Mₖ},{θₜₖ} and {ψₜₖ} in the finite fields 𝔽_ρ, with ρ a prime, that yield divisors of Mersenne, Fermat and Lehmer numbers.
A. M. S. Ramasamy
doaj   +1 more source

Sum of Powers of Mersenne Numbers as Perfect Squares and Powers of Two

European Journal of Pure and Applied Mathematics
This mathematical research investigates whether the sum of two powers of Mersenne numbers can be expressed as a square. It also determines whether the sum of powers of these special numbers can be a power of two.
W. Gayo, Raquel Gamotlong
semanticscholar   +1 more source

Generalized New Mersenne Number Transforms

IEEE Transactions on Signal Processing, 2012
Two new number theoretic transforms named as odd and odd-squared new Mersenne number transforms are introduced for incorporation into a generalized new Mersenne number transforms (GNMNTs) suite, which are defined in finite fields modulo Mersenne primes where arithmetic operations and residue reductions are simple to implement. This suite is categorized
Boussakta S, Mounir H, Rutter N
openaire   +2 more sources

Kenelm Digby's logic of common and natural notions

The 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

On generalized Mersenne hybrid numbers

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, 2020
The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper we consider  a special kind of hybrid numbers, namely the Mersenne hybrid numbers and we give some of their properties.
Szynal-Liana, Anetta, Włoch, Iwona
openaire   +2 more sources