We study the global analytic properties of the solutions of a particular family of Painlevé VI equations with the parameters β = γ = 0, δ = 2 and 2α = (2μ−1)2 with arbitrary μ, 2μ 6∈ Z. We introduce a class of solutions having critical behaviour of algebraic type, and completely compute the structure of the analytic continuation of these solutions in terms of an auxiliary reflection group in th...

Motivated by the enhanced gauge symmetry phenomenon of the physics literature and mirror symmetry, this paper constructs an action of an Artin group on the derived category of coherent sheaves of a smooth quasiprojective threefold containing a configuration of ruled surfaces described by a finite type Dynkin diagram. The action extends over deformations of the threefold via a compatible action ...

We study the properties of fractional differentiation with respect to the reflection symmetry in a finite interval. The representation and integration formulae are derived for symmetric and anti-symmetric fractional derivatives, both of the Riemann-Liouville and Caputo type. The action dependent on the left-sided Caputo derivatives of orders in the range (1,2) is considered and we derive the Eu...

introduction: reflection is considered as a critical characteristic in professional competitions. despite propagation of reflection as an important educational issue and existence of several helpful patterns, instructions conducted by teachers to explaining and expanding of it, are very little. studies related to this topic were mainly performed in the field of nursing. therefore, we decided to...

The present study is an attempt to discover the relationships among reflection, role stressors and resilience. To this end, a mixed-method approach was adopted. In the quantitative phase, 122 EFL teachers completed three questionnaires namely English Language Teaching Reflection Inventory, Teacher Role Stressors Scale and Connor-Davidson Resilience Scale. The results of correlation indicated th...

The aim of this reflection is to explore a broad framework within which chaplaincy understands itself. It arises out of my own experience as a chaplain in the Queen Elizabeth Hospital, which became first the South Birmingham Acute Unit, and then the University Hospital NHS Trust, between 1990 and 1996; though the reflection adopts a wider perspective. It is my aim to highlight the areas that re...

The generalized one-dimensional Schriidinger equation d2#/dx2 + k2H( x) ‘4 =P(x)# is considered. The nonuniqueness is studied in the recovery of the function P(x) when the scattering matrix, H(x), and the bound state energies and norming constants are known. It is shown that when the reflection coefficient is unity at zero energy, there is a one-parameter family of functions P(x) corresponding ...

A Blumlein line is a particular Pulse Forming Line, PFL, configuration that allows the generation of high-voltage sub-microsecond square pulses, with the same voltage amplitude as the dc charging voltage, into a matching load. By stacking n Blumlein lines one can multiply in theory by n the input dc voltage charging amplitude. In order to understand the operating behavior of this electromagneti...

We have extended the real-time tomographic reflection display of the Sonic Flashlight to a laser guidance system that aims to improve safety and accuracy of needle insertion, especially for deep procedures. This guidance system is fundamentally different from others currently available. Two low-intensity lasers are mounted on opposite sides of a needle aimed parallel to the needle. The needle i...