16 papers · ranked by Valyu relevance
Amparo Gil, Javier Segura, Nico Μ. Τemme
In this paper we describe an algorithm and a Fortran 90 module (Conical) for the computation of the conical function P m − 1 2 +iτ (x) for x > −1, m ≥ 0, τ > 0. These functions appear in the solution of Dirichlet problems for domains bounded by cones; because of this,
Brian A. Wandell, Thomas Goossens, David H. Brainard
Two ideas, proposed by Thomas Young and James Clerk Maxwell, form the foundations of color science: (1) Three types of retinal receptors encode light under daytime conditions, and (2) color matching experiments establish the critical spectral properties of this encoding. Experimental quantification of these ideas are…
Meiju Luo, Caihua Zhang
In this paper, we mainly consider the stochastic second-order cone complementarity problem (SSOCCP). Due to the existence of stochastic variable, the SSOCCP may have no solutions. In order to deal with this problem, we first regard the merit function of the stochastic second-order cone complementarity problem as the…
D. C. Armstrong
Real quadric curves are often referred to as "conic sections," implying that they can be realized as plane sections of circular cones. However, it seems that the details of this equivalence have been partially forgotten by the mathematical community. The definitive analytic treatment was given by Otto Staude in the…
Jenny L. Witten, Veronika Lukyanova, Wolf M. Harmening
The foveated architecture of the human retina and the eye’s mobility enable prime spatial vision, yet the interplay between photoreceptor cell topography and the constant motion of the eye during fixation remains unexplored. With in vivo foveal cone-resolved imaging and simultaneous microscopic photo stimulation, we…
Saeedeh Shamsi Gamchi, Mohammad Janfada, A. Niknam
'\u200eA\u200e. \u200eNiknam\u200e'] Abstract. In this paper the notion of modular cone metric space is introduced and some properties of such spaces are investigated. Also we define convex modular cone metric which takes values in CR(Y ) where Y is a compact Hausdorff space. Then a fixed point theorem is proved for…
Jacob Winding
We define generalizations of the multiple elliptic gamma functions and the multiple sine functions, associated to good rational cones. We explain how good cones are related to collections of SLr(Z)-elements and prove that the generalized multiple sine and multiple elliptic gamma functions enjoy infinite product…
S. K. Malhotra, J. B. Sharma, Satish Shukla
We prove some common fixed-point theorems for the ordered g-weak contractions in cone rectangular metric spaces without assuming the normality of cone. Our results generalize some recent results from cone metric and cone rectangular metric spaces into ordered cone rectangular metric spaces. Examples are provided which…
Martin Kilian, Christian Müller, Jonas Tervooren
Cone-nets are conjugate nets on a surface such that along each individual curve of one family of parameter curves there is a cone in tangential contact with the surface. The corresponding conjugate curve network is projectively invariant and is characterized by the existence of particular transformations. We study…
Richard J. Mathar
At the general geometry the sphere center is not on the (extended) cone axis. Our approach calculates the volume by slicing space perpendicular to the cone axis and by integrating the lens areas defined by the sphere-cone intersection. These volume integrals are rephrased with the aid of the Byrd-Friedmann tables to…
Erica N. Woertz, Melissa A. Wilk, Ethan Duwell, Jedidiah Mathis + 2 more
The human fovea lies at the center of the retina and supports high-acuity vision. In normal visual system development, foveal acuity is correlated with both a high density of cone photoreceptors at this location and a magnified retinotopic representation of the fovea in the visual cortex. Both cone density and the…
Wei Cheng, Jinglei Ni, Chao Song, Muhammad Mubashir Ahsan + 7 more
'Xuefeng Chen' 'Zelin Nie' 'Yilong Liu' 'Alessandro Sabato' 'Adam Martowicz' 'Piotr Kohut' 'Krystof Holak'] For the sound field reconstruction of large conical surfaces, current statistical optimal near-field acoustic holography (SONAH) methods have relatively poor applicability and low accuracy. To overcome this…
Juan M. Angueyra, Jacob Baudin, Gregory W. Schwartz, Fred Rieke
Primates explore their visual environment by making frequent saccades, discrete and ballistic eye movements that direct the fovea to specific regions of interest. Saccades produce large and rapid changes in input. The magnitude of these changes and the limited signaling range of visual neurons means that effective…
Jenny L. Reiniger, Niklas Domdei, Frank G. Holz, Wolf M. Harmening
The small physical depression of the human retina, termed fovea, is the functional center of human vision, providing an acute sense of visual space and color, but it is yet unclear if the exact arrangement of the few thousand photoreceptors at the foveal center is relevant for visual behavior. By employing adaptive…
Edoardo Cavallotto
Solving the Plateau problem means to find the surface with minimal area among all surfaces with a given boundary. Part of the problem actually consists of giving a suitable definition to the notions of "surface", "area" and "boundary". The sliding boundary condition has been introduced by David in order to study the…
Héctor Efrén Guerrero Mora
This article presents a new way to classify geodesics on a cone in the Euclidean 3-space. This proof is obtained considering our main result, which establishes the necessary and sufficient conditions that a curve in space must satisfy: to be rectifying curve or that its trace is contained in the sphere centered at the…