A new method is developed to measure the contact angle of air bubbles attached to an air-water interface. The measurements made from the microscopic interference pattern (Newton rings), which are obtained by viewing the bubble in reflected light, are used in conjunction with the solutions of the Laplace equations to the fluid interfaces to obtain the contact angle of the film. Measurements made...

A formula of luminosity of asymmetric e+ecollider with coupled lattices is derived explicitly. The calculation shows how the tilted angle and aspect ratio of the beams affect the luminosity. Knowing the result of the calculation, we measure the tilted angle of the luminous region of the collision for PEP-II using two dimensional transverse scan of the luminosity. The method could be applied to ...

We study coupled random walks in the plane such that, at each step, the walks change direction by a uniform random angle plus an extra deterministic angle θ. We compute the Hausdorff dimension of the θ for which the walk has an unusual behavior. This model is related to a study of the spectral measure of some random matrices. The same techniques allow to study the boundary behavior of some Gaus...

This study compares the forward reach score, spine and pelvis postures, and hamstring criterion-related validity (concurrent validity) between the sit-and-reach test (SR) and the back-saver sit-and-reach test (BS). Seventy-six men (mean age ± SD: 23.45 ± 3.96 years) and 67 women (mean age ± SD: 23.85 ± 5.36 years) were asked to perform three trials of SR, BS left (BSl), right (BSr), and passive...

We give a new notion of angle in general metric spaces; more precisely, given a triple a points p, x, q in a metric space (X, d), we introduce the notion of angle cone ∠pxq as being an interval ∠pxq := [∠pxq,∠ + pxq], where the quantities ∠ ± pxq are defined in terms of the distance functions from p and q via a duality construction of differentials and gradients holding for locally Lipschitz fu...

In operation of high-speed wheeled robots on rough terrain, it is significantly important to predict or measure the interaction between wheel and ground in order to maintain optimal maneuverability. Therefore, this paper proposes an easy way to estimate wheel lift and suspension force of a highspeed wheeled robot on uneven surfaces. First of all, a high-speed robot which has six wheels with ind...

Position uncertainty (delocalization) measures for a particle on the sphere are proposed and illustrated on several examples of states. The new measures are constructed using suitably the standard multiplication angle operator variances. They are shown to depend solely on the state of the particle and to obey uncertainty relations of the Schrödinger–Robertson type. A set of Hermitian operators ...

The reflectance spectrum of the species in a hyperspectral data can be modelled as an n­dimensional vector. The spectral angle mapper computes the angle between the vectors which is used to discriminate the species. The spectral information divergence models the data as a probability distribution so that the spectral variability between the bands can be extracted using the stochastic measures. ...

the normal carrying angle in shiraz population was measured on the basis of sex and age. the right elbow angle of 4266 cases was examined from birth to 30 years old. this study found the carrying angle in 2540 females to be 7.20 (range 2-19) and in 1726 males to be 6.40 (range 2-11), a 0.80 difference. a significant difference (p= 0.05) was found in relation to age. there is a gradual increase ...

High-precision Natural Language Understanding is needed in Geometry Tutoring to accurately determine the semantic content of students’ explanations. The paper presents an NLU system developed in the context of the Geometry Cognitive Tutor. The system combines unification-based syntactic processing with description logics based semantics to achieve the necessary accuracy level. The paper describ...