Results 51 to 60 of about 12,326 (180)
, 2017 Currently there is no known efficient formula for primes. Besides that, prime numbers have great importance in e.g., information technology such as public-key cryptography, and their position and possible or impossible functional generation among the ...
Kristyan, Sandor
core +1 more source
Magnetic Resonance in Medicine, Volume 95, Issue 5, Page 2814-2827, May 2026.ABSTRACT Purpose 3D free‐breathing, proton, contrast‐agent‐free MR methods are increasingly used for pulmonary ventilation‐weighted measurements. The methods are split between: (1) signal‐based, which rely on lung parenchyma signal changes during respiration, and (2) volume‐based that utilize the Jacobian determinant of deformation fields from the ...
Filip Klimeš +12 more
wiley +1 more source
Temperature Mapping During MR‐Guided Cryoablation Using a FLORET UTE Sequence
Magnetic Resonance in Medicine, Volume 95, Issue 3, Page 1653-1659, March 2026.ABSTRACT Purpose To implement a three‐dimensional FLORET‐UTE sequence for rapid MR thermometry during cryoablation and to validate voxel‐wise temperature maps against fiber‐optic probes in ex vivo bovine liver. Methods A FLORET‐UTE trajectory (TE 50 μs, 1.6 mm isotropic, 18 s/volume) was executed on a 3 T scanner while dry‐ice cryoablation was applied ...
Moritz Gutt +6 more
wiley +1 more source
Comparative analysis of integer factorization algorithms
MANAS: Journal of Engineering, 2015 Integer factorization problem, which is used as the basis in many public key cryptosystem, is generally thought to be hard problem even on a modern computers.
G. Kimsanova, R. Ismailova, R. Sultanov
doaj
Wave Propagation in Non‐Uniform Media by Linear Expansion of the Refraction Law
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 1, March 2026.ABSTRACT The propagation of mechanical waves in an unbounded, non‐uniform medium can be described by using curvilinear coordinates centered at the source position. The Frenet coordinate system, with origin on a point riding a wave, is used as a basis for the curvilinear coordinates.
Alessandro Bassetti, Oskar Bschorr
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, 2017 We investigate gauge theories and matter fields in F-theory compactifications on genus-one fibered Calabi-Yau 4-folds without a global section. In this study, genus-one fibered Calabi-Yau 4-folds are built as direct products of a genus-one fibered K3 ...
Kimura, Yusuke
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Variable selection via thresholding
Scandinavian Journal of Statistics, Volume 53, Issue 1, Page 207-237, March 2026.Abstract Variable selection comprises an important step in many modern statistical inference procedures. In the regression setting, when estimators cannot shrink irrelevant signals to zero, covariates without relationships to the response often manifest small but nonzero regression coefficients.
Ka Long Keith Ho, Hien Duy Nguyen
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Arithmetic progressions at the Journal of the LMS
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We discuss the papers P. Erdős and P. Turán, On some sequences of integers, J. London Math. Soc. (1) 11 (1936), 261–264 and K. F. Roth, On certain sets of integers, J. London Math. Soc. (1) 28 (1953), 104–109, both foundational papers in the study of arithmetic progressions in sets of integers, and their subsequent influence.
Ben Green
wiley +1 more source
Diophantine tuples and product sets in shifted powers
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Let k⩾2$k\geqslant 2$ and n≠0$n\ne 0$. A Diophantine tuple with property Dk(n)$D_k(n)$ is a set of positive integers A$A$ such that ab+n$ab+n$ is a k$k$th power for all a,b∈A$a,b\in A$ with a≠b$a\ne b$. Such generalizations of classical Diophantine tuples have been studied extensively.
Ernie Croot, Chi Hoi Yip
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Factors of generalized Fermat numbers [PDF]
Mathematics of Computation, 1998 A search for prime factors of the generalized Fermat numbers F n ( a , b ) = a 2 n + b 2 n ...
Björn, Anders, Riesel, Hans
openaire +1 more source