In this short note we propose a new method for construction new nice arrangement on the sphere Sd using the spaces of spherical harmonic.

Original scientific paper This paper presents designing of spherical tank using combination of analytical procedure with FEM analysis and experimental testing in order to minimize design time and verify design strength. Analytical procedure for calculation of the tank strength in the initial stages of design process is briefly presented. Based on analytical results, tank is dimensioned and FEM ...

Exact solutions are obtained for the mean-field spherical model, with or without an external magnetic field, for any finite or infinite number N of degrees of freedom, both in the microcanonical and in the canonical ensemble. The canonical result allows for an exact discussion of the loci of the Fisher zeros of the canonical partition function. The microcanonical entropy is found to be nonanaly...

PURPOSE Mutations in the membrane-type frizzled-related protein (MFRP) gene have been identified in patients with pathologic high hyperopia associated with nanophthalmos or microphthalmia. This study is to test if a mutation in MFRP is responsible for physiologic high hyperopia. METHODS DNA was prepared from venous leukocytes of 51 patients with physiologic high hyperopia (refraction of spher...

PURPOSE To determine the effect of the cyclopentolate 1% on the cylindrical and spherical components of the refraction. METHODS Three hundred seventy-five eyes of 195 subjects, including 74 males and 121 females, aged from 3 to 59 years were refracted before and 30 min after cyclopentolate 1% eye drop instillation. To compare cylindrical data, power vector analysis (J0 and J45 cross cylinder)...

OBJECTIVE To determine whether the new CustomCornea M3 (myopic astigmatism) algorithm places additional pulses in the periphery to counter excimer laser peripheral ablation inefficiency. METHODS Analysis of 25 myopic eyes of 18 patients that were within the approved indications for both the myopic astigmatism (M3) and myopic sphere (A7) algorithms. We analyzed ablation depth at peak and 4-mm,...

Consider a sequence of point sets on S, where each set X is a spherical ndesign with m points, where m = O(n), and where the spherical distance between points of X is at least λ/ √ m, for some λ common to all sets of the sequence. For each X of such a sequence, the Coulomb energy E(X) is bounded by E(X) 6 1 2 m2 + O(m). The first term and the order of the second term are the same as for the bou...

OBJECTIVE To determine mean change induced in root mean square value of higher order aberrations in myopic patients undergoing wavefront optimized laser assisted in situ keratomileusis. METHODS This quasi experimental study was conducted at Armed Forces Institute of Ophthalmology, Rawalpindi, Pakistan from Jan 2014 to Dec 2014. Sixty eyes of 35 myopic patients were included in the study. All ...

IMPORTANCE Analysis of retinal nerve fiber layer (RNFL) abnormalities with optical coherence tomography in eyes with high myopia has been complicated by high rates of false-positive errors. An understanding of whether the application of a myopic normative database can improve the specificity for detection of RNFL abnormalities in eyes with high myopia is relevant. OBJECTIVE To evaluate the di...

PURPOSE To determine the difference in macular choroidal thickness (CT) profile between eyes in healthy individuals using swept-source optical coherence tomography. DESIGN Cross-sectional noninterventional study. PARTICIPANTS One hundred and forty eyes from 70 healthy patients with spherical equivalent between ± 3 D and with difference ≤ 0.25 D between eyes were scanned using a swept-source...