Results 41 to 50 of about 125,110 (329)
Journal of Mathematical Cryptology, 2018 In 2004, Muzereau, Smart and Vercauteren [A. Muzereau, N. P. Smart and F. Vercauteren, The equivalence between the DHP and DLP for elliptic curves used in practical applications, LMS J. Comput. Math. 7 2004, 50–72] showed how to use a reduction algorithm
Kushwaha Prabhat
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Multi‐institutional study on image quality for a novel CBCT solution on O‐ring linac
Journal of Applied Clinical Medical Physics, EarlyView.Abstract Introduction This work presents a multi‐institutional study on image quality provided by a novel cone beam computed tomography (CBCT). The main goal is to investigate the consistency of imaging performance across multiple institutions.
Luis Agulles‐Pedrós +11 more
wiley +1 more source
Elliptic Curves - an Introduction [PDF]
Irish Mathematical Society Bulletin, 2007 Elliptic curves – an introduction ...
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A review of artificial intelligence in brachytherapy
Journal of Applied Clinical Medical Physics, EarlyView.Abstract Artificial intelligence (AI) has the potential to revolutionize brachytherapy's clinical workflow. This review comprehensively examines the application of AI, focusing on machine learning and deep learning, in various aspects of brachytherapy.
Jingchu Chen +4 more
wiley +1 more source
Journal of Applied Clinical Medical Physics, EarlyView.Abstract Purpose The Bravos v1.2 control software introduces a ring applicator component type (ACT) with channel length verification to address geometric characteristics and dosimetric discrepancies caused by source positioning inaccuracies. This study aims to commission the ring applicator and investigate the new ring ACT in Bravos 1.2.
Xiuxiu He +4 more
wiley +1 more source
Bilinear pairings on elliptic curves [PDF]
L’Enseignement Mathématique, 2016 We give an elementary and self-contained introduction to pairings on elliptic curves over finite fields. The three different definitions of the Weil pairing that can be found in the literature are stated and proved to be equivalent using Weil reciprocity. Pairings with shorter loops, such as the ate, ate _i
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Pseudoprime Reductions of Elliptic Curves [PDF]
Canadian Journal of Mathematics, 2012 Abstract Let E be an elliptic curve over ℚ without complex multiplication, and for each prime p of good reduction, let nE(p) = |E(𝔽p)|. For any integer b, we consider elliptic pseudoprimes to the base b. More precisely, let QE,b(x) be the number of primes p ⩽ x such that bnE(p) ≡ b (mod nE(p)), and let πpseuE,b (x) be the number of compositive nE(p ...
David, Chantal, Wu, J
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Journal of Applied Clinical Medical Physics, EarlyView.Abstract Purpose Due to the tight curvature in their design, ring applicators are usually associated with large positioning errors. The standard practice to correct for these deviations based on global offsets may not be sufficient to comply with the recommended tolerance.
Leon G. Aldrovandi +3 more
wiley +1 more source
Boundary asymptotics of the relative Bergman kernel metric for hyperelliptic curves
Complex Manifolds, 2017 We survey variations of the Bergman kernel and their asymptotic behaviors at degeneration. For a Legendre family of elliptic curves, the curvature form of the relative Bergman kernel metric is equal to the Poincaré metric on ℂ \ {0,1}. The cases of other
Dong Robert Xin
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Abelian varieties over Q and modular forms [PDF]
, 1992 This paper gives a conjectural characterization of those elliptic curves over the field of complex numbers which "should" be covered by standard modular curves.
Ribet, Kenneth A.
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