Results 1 to 10 of about 71,302 (258)

Geometric and singularities insights of swept surfaces via the Bishop frame in Euclidean 3-Space. [PDF]

PLoS ONE
This study investigates the geometry and singular behavior of swept surfaces generated by the move of Bishop frame along a spatial curve in Euclidean 3-space. The surface is defined as the envelope of a family of unit spheres whose centers trace an axial
Fatemah Mofarreh, Rashad Abdel-Baky, Munirah Alsahli   +2 more
doaj   +2 more sources

Effect of prosthetic emergence profile on labial transmucosal tissue in anterior implants: a retrospective cohort study [PDF]

International Journal of Implant Dentistry
Purpose There are no clear quantitative criteria for the prosthetic labial emergence profile in maxillary anterior implant treatment. We evaluated the impact of the prosthetic labial emergence profile on labial tissue alterations.
Shunsuke Okamoto, Tamaki Nakano, Ayumi Shintani, Zhihao Zhai, Takumi Sato, Misa Fuji, Takahiko Sakai, Haruka Yamashita, Sayaka Nakagawa, Masahiro Nishimura, Shoichi Ishigaki   +10 more
doaj   +2 more sources

Towards Nonlinearity: The p-Regularity Theory [PDF]

Entropy
We present recent advances in the analysis of nonlinear problems involving singular (degenerate) operators. The results are obtained within the framework of p-regularity theory, which has been successfully developed over the past four decades.
Ewa Bednarczuk, Olga Brezhneva, Krzysztof Leśniewski, Agnieszka Prusińska, Alexey A. Tret’yakov   +4 more
doaj   +2 more sources

Three-dimensional assessment of pharyngeal airway hyoid bone and craniocervical changes after stabilization splint treatment in temporomandibular disorder patients [PDF]

Scientific Reports
Stabilization splint (SS) therapy is commonly used to treat temporomandibular disorders (TMD), but its three-dimensional (3D) effects on pharyngeal airway (PA) dimensions, hyoid bone (HB) position, and craniocervical (CC) posture remain unclear.
Pengyu Chen, Saba Ahmed Al-hadad, Chenyu Rao, Yi Li, Chunshen Li, Enas Senan ALyafrusee, Barakat Al-Tayar, Ibtehal Almagrami, Leena Ali Al-Warafi, Xi Chen, Yunshan Zhao   +10 more
doaj   +2 more sources

Optimality Conditions for Group Sparse Constrained Optimization Problems

Mathematics, 2021
In this paper, optimality conditions for the group sparse constrained optimization (GSCO) problems are studied. Firstly, the equivalent characterizations of Bouligand tangent cone, Clarke tangent cone and their corresponding normal cones of the group ...
Wenying Wu, Dingtao Peng
doaj   +1 more source

Smocked Metric Spaces and Their Tangent Cones [PDF]

Missouri Journal of Mathematical Sciences, 2021
66 pages, 32 figures, original research by Prof. Sormani, Dr. Kazaras, and a team of students listed both above as authors and also within v1 at the tops of the sections that they specifically worked on, v2 has minor expository changes, v3 has minor technical ...
Sormani, Christiana, Kazaras, Demetre, Afrifa, David, Antonetti, Victoria, Dinowitz, Moslie, Drillick, Hindy, Farahzad, Maziar, George, Shanell, Hepburn, Aleah Lydeatte, Huynh, Leslie Trang, Minichiello, Emilio, Pillati, Julinda Mujo, Rendla, Srivishnupreeth, Yamin, Ajmain   +13 more
openaire   +2 more sources

A note on flatness of non separable tangent cone at a barycenter

Comptes Rendus. Mathématique, 2020
Given a probability measure $\mathbf{P}$ on an Alexandrov space $S$ with curvature bounded below, we prove that the support of the pushforward of $\mathbf{P}$ on the tangent cone $T_{b^\star }S$ at its (exponential) barycenter $b^\star $ is a subset of a
Le Gouic, Thibaut
doaj   +1 more source

Stable Recovery and Separation of Structured Signals by Convex Geometry

IEEE Access, 2022
We consider the ill-posed problem of identifying the signal that is structured in some general dictionary (i.e., possibly redundant or over-complete matrix) from corrupted measurements, where the corruption is structured in another general dictionary. We
Ningning Li, Wengu Chen
doaj   +1 more source

Determination of Constrained Modulus of Granular Soil from In Situ Tests—Part 1 Analyses

Geotechnics, 2023
Assessing the constrained modulus is a critical step in calculating settlements in granular soils. This paper describes a novel concept of how the constrained modulus can be derived from seismic tests. The advantages and limitations of seismic laboratory
K. Rainer Massarsch
doaj   +1 more source

Second-order lower radial tangent derivatives and applications to set-valued optimization

Journal of Inequalities and Applications, 2017
We introduce the concepts of second-order radial composed tangent derivative, second-order radial tangent derivative, second-order lower radial composed tangent derivative, and second-order lower radial tangent derivative for set-valued maps by means of ...
Bihang Xu, Zhenhua Peng, Yihong Xu
doaj   +1 more source