Results 171 to 180 of about 773,208 (320)
Torsion Subgroups of Elliptic Curves over Quadratic Extensions
Journal of Number Theory, 1997 The paper considers the behaviour of the torsion subgroup of an elliptic curve over \(\mathbb{Q}\) under quadratic extension of the base field. The author proves the general result that for each elliptic curve \(E\) over \(\mathbb{Q}\), there are only finitely many quadratic extensions \(k\) of \(\mathbb{Q}\) such that the torsion subgroup of \(E(k ...
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Journal of Prosthodontics, EarlyView.Abstract Purpose This study investigated the influence of cement gap size on the marginal and internal fit, and cement gap size and type on retention of additively manufactured zirconia (AM‐Z) crowns on titanium bases (Ti‐base). Materials and Methods A total of 135 zirconia crowns were designed with three different cement gap sizes: 20 µm, 30 µm, and ...
Rafat Sasany +2 more
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Journal of Periodontal Research, EarlyView.Computer‐assisted implant surgery (CAIS) enhances accuracy in immediate implant placement (IIP) compared to freehand, with no significant difference between CAIS techniques. The flapless technique is mainly used in IIP, reducing invasiveness and treatment time.
Lucia Schiavon +4 more
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Orthopaedic Surgery, EarlyView.We focused on investigating anatomical differences between the extended dislocation and the flexed dislocation of HDP. And we found that patients with HDP in extension had patella alta, more severe patellar dysplasia, while those with HDP in flexion had more inclined patellae, laterally positioned patellae when knees extended, and more dysplastic ...
Qin Zhang +5 more
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Orthopaedic Surgery, EarlyView.This study investigated the effectiveness of sagittal stable vertebra (SSV) determined by different sagittal reference lines in predicting the risk of postoperative distal junctional kyphosis (DJK) in adolescent idiopathic scoliosis (AIS) patients who underwent posterior spinal fusion (PSF) with the lowest instrumented vertebra (LIV) at or above L1 ...
Po‐Yao Wang +8 more
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Low Dimensional Flat Manifolds with Some Elasses of Finsler Metric
پژوهشهای ریاضی, 2020 Introduction An -dimensional Riemannian manifold is said to be flat (or locally Euclidean) if locally isometric with the Euclidean space, that is, admits a covering of coordinates neighborhoods each of which is isometric with a Euclidean domain.
Sedigheh Alavi Endrajemi +1 more
doaj
Periodontology 2000, EarlyView.Abstract Uneven gingival margins may cause visible asymmetries during smiling and may reflect alterations in the tooth shape and morphology, particularly in cases requiring restorative procedures. Despite being perceived as a minor health condition, presence of uneven gingival margins usually impacts the smile aesthetics and could affect the individual'
Conchita Martin +3 more
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Divisibility of torsion subgroups of abelian surfaces over number fields [PDF]
, 2020 John Cullinan, Jeffrey Yelton
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Units in group rings and blocks of Klein four or dihedral defect
Bulletin of the London Mathematical Society, EarlyView.Abstract We obtain restrictions on units of even order in the integral group ring ZG$\mathbb {Z}G$ of a finite group G$G$ by studying their actions on the reductions modulo 4 of lattices over the 2‐adic group ring Z2G$\mathbb {Z}_2G$. This improves the “lattice method” which considers reductions modulo primes p$p$, but is of limited use for p=2$p=2 ...
Florian Eisele, Leo Margolis
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Arithmetic sparsity in mixed Hodge settings
Bulletin of the London Mathematical Society, EarlyView.Abstract Let X$X$ be a smooth irreducible quasi‐projective algebraic variety over a number field K$K$. Suppose X$X$ is equipped with a p$p$‐adic étale local system compatible with an admissible graded‐polarized variation of mixed Hodge structures on the complex analytification of XC$X_{\operatorname{\mathbb {C}}}$.
Kenneth Chung Tak Chiu
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