Results 21 to 30 of about 530,367 (189)

Extension of Convex Function [PDF]

, 2013
We study the local and global versions of the convexity, which is closely related to the problem of extending a convex function on a non-convex domain to a convex function on the convex hull of the domain and beyond the convex hull.
Yan, Min
core   +1 more source

Dosimetric evaluation and clinical application of collimated apertures with proton beam line scanning in stereotactic radiotherapy

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Purpose Stereotactic radiotherapy (SRT) is a highly effective treatment with precision for small, localized lesions. Proton therapy, characterized by the Bragg peak, offers superior dose conformity compared to photon‐based approaches. However, challenges remain in minimizing lateral penumbra and optimizing dose delivery, particularly for small
Chen‐Yu Chou, Hsiao‐Chieh Huang, Shen‐Hao Lee, Shih‐Ming Hsu   +3 more
wiley   +1 more source

Non-existence of certain type of convex functions on a Riemannian manifold with a pole

, 2018
This paper is devoted to the study of non-existence of certain type of convex functions on a Riemannian manifold with a pole. To this end, we have developed the notion of odd and even function on a Riemannian manifold with a pole and proved the non ...
Ahmad, Izhar, Mondal, Chandan Kumar, Shaikh, Absos Ali   +2 more
core   +1 more source

Cerebral Amyloid Angiopathy Is Associated With Higher R2 Relaxation Rate: An MRI and Pathology Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Cerebral amyloid angiopathy (CAA) involves β‐amyloid deposition in the walls of cortical and leptomeningeal small vessels. Transverse relaxation rate (R2) is a major source of contrast in MRI. This study tested the hypothesis that CAA is associated with R2, extracted the spatial pattern of CAA‐related R2 abnormalities, and evaluated ...
Md Tahmid Yasar, Arnold M. Evia, Mahir Tazwar, Sue E. Leurgans, David A. Bennett, Julie A. Schneider, Konstantinos Arfanakis   +6 more
wiley   +1 more source

Random Learning Leads to Faster Convergence in ‘Model‐Free’ ILC: With Application to MIMO Feedforward in Industrial Printing

International Journal of Adaptive Control and Signal Processing, EarlyView.
The cost as a function of the number of experiments for a non‐symmetric 21×21$$ 21\times 21 $$ system. Four approaches are shown: the proposed stochastic conjugate gradient ILC (SCGILC) method (), deterministic conjugate gradient ILC (), stochastic gradient descent ILC () and deterministic gradient descent ILC ().
Leontine Aarnoudse, Tom Oomen
wiley   +1 more source

The Schur-convexity of the mean of a convex function

Applied Mathematics Letters, 2009
AbstractThe Schur-convexity at the upper and lower limits of the integral for the mean of a convex function is researched. As applications, a form with a parameter of Stolarsky’s mean is obtained and a relevant double inequality that is an extension of a known inequality is established.
Chun Gu, Huan-Nan Shi, Da-Mao Li
openaire   +2 more sources

Cosine Similarity Measure According to a Convex Cost Function [PDF]

, 2014
In this paper, we describe a new vector similarity measure associated with a convex cost function. Given two vectors, we determine the surface normals of the convex function at the vectors.
Akbas, Cem Emre, Cetin, A. Enis, Gunay, Osman   +2 more
core  

The Siciak-Zahariuta extremal function as the envelope of disc functionals

, 2005
We establish disc formulas for the Siciak-Zahariuta extremal function of an arbitrary open subset of complex affine space, generalizing Lempert's formula for the convex case. This function is also known as the pluricomplex Green function with logarithmic
Larusson, Finnur, Sigurdsson, Ragnar
core   +4 more sources

Current and Future Cornea Chip Models for Advancing Ophthalmic Research and Therapeutics

Advanced Biology, EarlyView.
This review analyzes cornea chip technology as an innovative solution to corneal blindness and tissue scarcity. The examination encompasses recent developments in biomaterial design and fabrication methods replicating corneal architecture, highlighting applications in drug screening and disease modeling while addressing key challenges in mimicking ...
Minju Kim, Kanghoon Choi, Amy Lin, Jungkyu Kim   +3 more
wiley   +1 more source

Convex combinations, barycenters and convex functions [PDF]

Journal of Inequalities and Applications, 2013
The article first shows one alternative definition of convexity in the discrete case. The correlation between barycenters, Jensen's inequality and convexity is studied in the integral case. The Hermite-Hadamard inequality is also obtained as a consequence of a concept of barycenters.
openaire   +2 more sources