Results 61 to 70 of about 4,848,832 (374)
Optimizing the Arrangement of Points on the Unit Sphere [PDF]
This paper is concerned with the problem of placing N points on the unit sphere in E 3 {E^3} so as to maximize the sum of their mutual distances. A necessary condition is proved which led to a computer algorithm.
Kit Hanes, Joel Berman
openaire +2 more sources
Using the Support Functions to Embed the Families of Fuzzy Sets into Banach Spaces
With the help of support functions of fuzzy sets, we are able to embed some interesting families of fuzzy sets into Banach spaces. It is better to make the embedded Banach spaces as small as possible, which can be achieved by considering the weak ...
Hsien-Chung Wu
doaj +1 more source
Advancing Methodologies for Investigating PM2.5 Removal Using Green Wall System
Combustion processes are the primary source of fine particulate matter in indoor air. Since the 1970s, plants have been extensively studied for their potential to reduce indoor air pollution.
Claudia Falzone+3 more
doaj +1 more source
Fractional integration with singularity on unit sphere [PDF]
We study a family of convolution operators whose kernels have a singularity on the unit sphere. As a result, we prove the regarding L^p-L^q Sobolev inequalities.
arxiv +1 more source
Spherical Harmonics and Approximations on the Unit Sphere: An Introduction
Kendall Atkinson, Weimin Han
openalex +2 more sources
A Note on Minimal Hypersurfaces of an Odd Dimensional Sphere
We obtain the Wang-type integral inequalities for compact minimal hypersurfaces in the unit sphere S 2 n + 1 with Sasakian structure and use these inequalities to find two characterizations of minimal Clifford hypersurfaces in the unit sphere
Sharief Deshmukh, Ibrahim Al-Dayel
doaj +1 more source
Characterizations of Stability of Error Bounds for Convex Inequality Constraint Systems
In this paper, we mainly study error bounds for a single convex inequality and semi-infinite convex constraint systems, and give characterizations of stability of error bounds via directional derivatives. For a single convex inequality, it is proved that
Wei, Zhou, Théra, Michel, Yao, Jen-Chih
doaj +1 more source
Random Attractors for the Stochastic Navier–Stokes Equations on the 2D Unit Sphere [PDF]
In this paper we prove the existence of random attractors for the Navier–Stokes equations on 2 dimensional sphere under random forcing irregular in space and time. We also deduce the existence of an invariant measure.
Z. Brzeźniak, B. Goldys, Q. L. Le Gia
semanticscholar +1 more source
IntroductionOptimizing care for young adults with cerebral palsy is crucial for their physical and psychological well-being. The inadequacy of proximal environment may play a role in the provision of health services.
Jonathan Rioual+4 more
doaj +1 more source
Unraveling Mycobacterium tuberculosis acid resistance and pH homeostasis mechanisms
Mycobacterium tuberculosis exhibits a remarkable resilience to acid stress. In this Review, we discuss some of the molecular mechanisms and metabolic pathways used by the tubercle bacilli to adapt and resist host‐mediated acid stress. Mycobacterium tuberculosis (Mtb) is a successful pathogen that has developed a variety of strategies to survive and ...
Janïs Laudouze+3 more
wiley +1 more source