Geometric optics is often described as tracing the paths of non-diffracting rays through an optical system. In paraxial limit, ray traces can be calculated using transfer matrices (colloquially, ABCD matrices), which are 2x2 acting on height and slope rays. A known limitation that they only work for elements centered normal to axis. this article, we provide improved 3x3 matrix method calculatin...

This study aims to improve cognitive abilities in children, especially the ability compose ABCD-ABCD patterns. happens because initial observations made when child is school, child's compiling pattern still low. The model used this a classroom action research (CAR) with Arikunto design through two cycles. Each cycle consists of 4 meetings. subjects were group B2 students aged 5-6 years at RA Bi...

Aim. To investigate the variability of alpha-amylase isoenzymes in soft wheat varieties Ukrainian selection, created by breeding institutions located different climatic zones (Forest Steppe and Steppe). Methods. Isoenzymes were detected electrophoretic protein separation a polyacrylamide gel. The fall number on «Falling Number 1700» was determined. Results. For representative assessment distrib...

Reanimation is divided into two phases. The first phase, primary ABCD, consists of verifying the patient's responsiveness, activating the emergency system, requesting a defibrillator, establishing and maintaining the airway's patency, checking respiration, initiating artificial respiration when necessary, checking the circulation, in the absence of a pulse beginning with chest compressions, and...

We solve N = 2 supersymmetric Yang-Mills theories for arbitrary classical gauge group, i.e. SU(N), SO(N), Sp(N). In particular, we derive the prepotential of the low-energy effective theory, and the corresponding Seiberg-Witten curves. We manage to do this without resolving singularities of the compactified instanton moduli spaces. on leave of absence from ITEP, Moscow, Russia

We outline a relationship between conformal field theories and spectral problems of ordinary differential equations, and discuss its generalisation to models related to classical Lie algebras.

Automatic Bayesian Covariance Discovery (ABCD) in Lloyd et al. (2014) provides a framework for automating statistical modelling as well as exploratory data analysis for regression problems. However ABCD does not scale due to its O(N) running time for the kernel search. This is undesirable not only because the average size of data sets is growing fast, but also because there is potentially more ...

Asset-based community-driven development (ABCD) has gained momentum in social work education over the last ten years. This mix-method study presents students’ perceptions of relevance and application ABCD at two universities South Africa. The students perceived as a relevant approach that shifts community members from deficit orientation focused on lack needs to one which people utilise their a...