We consider the period of a simple pendulum in the gravitational field of the spherical Earth. Effectively, gravity is enhanced compared with the often used flat Earth approximation, such that the period of the pendulum is shortened. We discuss the flat Earth approximation, and show when the corrections due to the spherical Earth may be of interest.

Let N(n, t) be the minimal number of points in a spherical t-design on the unit sphere Sn in Rn+1. For each n ≥ 3, we prove a new asymptotic upper bound N(n, t) ≤ C(n)tn , where C(n) is a constant depending only on n, a3 ≤ 4, a4 ≤ 7, a5 ≤ 9, a6 ≤ 11, a7 ≤ 12, a8 ≤ 16, a9 ≤ 19, a10 ≤ 22, and an < n 2 log2 2n, n > 10.

This paper is introducing a “Magyarok Marson” robot, which developed at the Institute of Automation and Infocommunication in University Miskolc. The controller was built for student competition. Our goal to create controller, looks like magic wand it able control remotely spherical robot. It expectation My main task hardware design remote controller. presents requirements competition, developme...

Visualization and quantification of cardiac function can provide direct and reliable indicators of cardiac health. The heart’s operation occurs in three dimensions, and is dependent on three dimensional forces and ventricular geometry, making the observation of its shape important. Many approaches have been presented to extract cardiac shape and do functional analysis from a variety of imaging ...

Two disordered models are considered: spherical model and non-interacting electron gas on lattice. The supersymmetry representation for correlation functions of these models is obtained. Using this representation the configurational averaging can be performed before thermodynamical one and the problem of calculation of configurationally averaged correlation functions of disordered spherical mod...

Two disordered models are considered: spherical model and non-interacting electron gas on lattice. The supersymmetry representation for correlation functions of these models is obtained. Using this representation the conngura-tional averaging can be performed before thermodynamical one and the problem of calculation of conngurationally averaged correlation functions of disordered spherical mode...

purpose: to compare aspheric and spherical hydrophilic intraocular lenses (iols) in terms of contrast sensitivity and visual acuity in photopic and mesopic conditions. methods: this triple-blind randomized clinical trial was performed on 40 eyes of 40 patients at al-zahra eye center, zahedan, iran. the eyes were randomized to standard phacoemulsification procedure with spherical (adapt, b&l;) o...

Time-series–cross-section (TSCS) data are characterized by having repeated observations over time on some set of units, such as states or nations. TSCS data typically display both contemporaneous correlation across units and unit level heteroskedasity making inference from standard errors produced by ordinary least squares incorrect. Panel-corrected standard errors (PCSE) account for these thes...

In this note we discuss the structure of systems of coupled cells (which we view as systems of ordinary differential equations) where symmetries of the system are obtained through the group G of global permutations of the cells and the group L of local internal symmetries of the dynamics in each cell. We show that even when the cells are assumed to be identical with identical coupling, the way ...

The good sheik evidently holds the Copernican theory to be a "mere theory," not a "fact." In this he is technically correct. A theory can be verified by a mass of facts, but it becomes a proven theory, not a fact. The sheik was perhaps unaware that the Space Age had begun before he asked the king to suppress the Copernican heresy. The sphericity of the earth has been seen by astronauts, and eve...