In design of optical systems based on LED (Light emitting diode) technology, a crucial task is to handle the unstructured data describing properties of optical elements in standard formats. This leads to the problem of data fitting within an appropriate model. Newtons method is used as an upgrade of previously developed most promising discrete optimization heuristics showing improvement of both...

We will present the Newton-Raphson algorithm, and the secant method. A MATLAB function for the Newton-Raphson method. The function.MATLAB has many tools that make this package well suited for numerical computations. The Newton-Raphson method for systems of nonlinear equations.The Newton-Raphson method, or Newton Method, is a powerful technique. Interesting is Section 3, where the birth of the N...

The parallel execution of loop iterations often is inhibited by recurrence relations on scalar variables. Examples are the use of induction variables and recursive functions. Due to the cyclic dependence between the iterations, these loops have to be executed sequentially. A method is presented to convert a family of coupled linear recurrence relations into explicit functions of a loop index. W...

We consider the problem of a rigid surface moving over a flat plane. The surfaces are separated by a small gap filled by a lubricant fluid. The relative position of the surfaces is unknown except for the initial time t = 0. The total load applied over the upper surface is a know constant for t > 0. The mathematical model consists in a coupled system formed by Reynolds variational inequality for...

INTRODUCTION Few means exist to provide quantitative and reproducible assessment of vaginal conditions from biomechanical and functional standpoints. AIM To develop a new approach for quantitative biomechanical characterization of the vagina. METHODS Vaginal tactile imaging (VTI) allows biomechanical assessment of soft tissue and function along the entire length of the anterior, posterior, ...

OBJECTIVES/HYPOTHESIS We expanded our prior work with transnasal robotic surgery (TNRS) in this study with the following aims: 1) use a cadaveric model to evaluate the feasibility of laryngoplasty with TNRS, 2) measure robot insertion times and forces, and 3) identify operational challenges to further guide the development of a flexible robotic system. STUDY DESIGN Cadaveric study. METHODS ...

Two subjects are addressed. A series of mass distributions is explicitly presented, that generate zero gravitation …eld in an open set in E. Second, an explicit reconstruction formula in E from data of spherical means with centers in an algebraic set. For both constructions, the same geometric method is applied based on properties of a special class of polynomials. Key words oscillatory set hyp...

AIM To determine the force needed to extract a drop from a range of current prostaglandin monotherapy eye droppers and how this related to the comfortable and maximum pressure subjects could exert. METHODS The comfortable and maximum pressure subjects could apply to an eye dropper constructed around a set of cantilevered pressure sensors and mounted above their eye was assessed in 102 subject...

In this work, a novel mechanism for spontaneous symmetry breaking is presented. This avoids quadratic divergencies and thus capable of addressing the hierarchy problem in gauge theories. Using scale-dependent effective action $\Gamma_{k}$ minimally coupled to gravitational sector, variational parameter setting applied. provides mass vacuum expectation value as function constants arising low sca...