A calculation with a bi-orthogonal wavelet transformation

We explore the use of bi-orthogonal basis for continuous wavelet transformations, thus relaxing the so-called admissibility condition on the analyzing wavelet. As an application, we determine the eigenvalues and corresponding radial eigenfunctions of the Hamiltonian of relativistic Hydrogen-like atoms.Comment: 18 pages, see instead physics/970300

On gauge invariant regularization of fermion currents

We compare Schwinger and complex powers methods to construct regularized fermion currents. We show that although both of them are gauge invariant they not always yield the same result.Comment: 10 pages, 1 figur

Determinants of Dirac operators with local boundary conditions

We study functional determinants for Dirac operators on manifolds with boundary. We give, for local boundary conditions, an explicit formula relating these determinants to the corresponding Green functions. We finally apply this result to the case of a bidimensional disk under bag-like conditions.Comment: standard LaTeX, 24 pages. To appear in Jour. Math. Phy

On the global version of Euler-Lagrange equations

The introduction of a covariant derivative on the velocity phase space is needed for a global expression of Euler-Lagrange equations. The aim of this paper is to show how its torsion tensor turns out to be involved in such a version.Comment: 5 pages, 1 figur

LabVIEW Statistical Data Analysis System For Evidence-Based Medicine

Проблема створення інструментальних засобів для спрощення коректного використання статистичних методів досліджень залишається актуальною, особливо в біомедичній галузі, де фахівці не надто володіють математичним апаратом. В статті запропоновано реалізацію в програмному середовищі NI LabVIEW напівавтоматизованої системи, що забезпечує найчастіше використовувані засоби статистичного аналізу, але при цьому виконує перевірку необхідних критеріїв і меж їх використання, а також обирання відповідних статистичних методів в автоматичному режимі. Реалізація в програмному середовищі NI LabVIEW забезпечує легке підключення до апаратури, універсальність та простоту подальшої модифікації алгоритмів роботи.The problem of creating tools to simplify the correct use of statistical research methods remains relevant, especially in the biomedical field, where experts do not have sufficient mathematical background. The article proposes the implementation of a semi-automated system in the NI LabVIEW software environment, which implements the most commonly used statistical analysis tools, but provides verification of the necessary criteria and limits of their use, as well as selection of appropriate statistical methods in automatic mode. Implementation in the software environment NI LabVIEW provides easy connection to the equipment, versatility and ease of further modification of algorithms.Проблема создания инструментальных средств для упрощения корректного применения статистических методов исследований остается актуальной, особенно в биомедицинской отрасли, где специалисты не слишком хорошо владеют математическим аппаратом. В статье предложена реализация в программной среде NI LabVIEW полуавтоматической системы, обеспечивающей применение часто используемых методов статистического анализа, но при этом выполняющей проверку необходимых критериев и границ их применимости, а также выбор соответствующих статистических методов в автоматическом режиме. Реализация в программной среде NI LabVIEW обеспечивает легкое подключение к аппаратуре, универсальность и простоту дальнейших модификаций алгоритмов работы

Foot Deformity Correction with Hexapod External Fixator, the Ortho-SUV Frame™

External fixators enable distraction osteogenesis and gradual foot deformity corrections. Hexapod fixators have become more popular than the Ilizarov apparatus. The Ortho-SUV Frame™ (OSF; Ortho-SUV Ltd, St. Petersburg, Russia), a hexapod that was developed in 2006, allows flexible joint attachment such that multiple assemblies are available. We assessed the reduction capability of several assemblies. An artificial bone model with a 270-mm-long longitudinal foot was used. A 130-mm tibial full ring was attached 60 mm proximal to the ankle joint. A 140-mm, two-third ring forefoot was attached perpendicular to the metatarsal bone axis. A 130-mm, two-third ring hindfoot was attached parallel to the tibial ring. A V-osteotomy, which was combined with 2 oblique osteotomies at the navicular-cuboid bone and the calcaneus, was performed. The middle part of the foot, including the talus, was connected to the tibial ring. We assessed 5 types of forefoot applications and 4 types of hindfoot applications. The range of correction included flexion/extension in the sagittal plane, adduction/abduction in the horizontal plane, and pronation/supination in the coronal plane. Additionally, we reported the short-term results in 9 clinical cases. The forefoot applications in which the axis of the hexapod was parallel to the axis of the metatarsal bones had good results, with 52°/76° for flexion/extension, 48°/53° for adduction/abduction, and 43°/51° for pronation/supination. The hindfoot applications in which the hexapod encircled the ankle joint also had good results, with corresponding values of 47°/58°, 20°/35°, and 28°/31°. Clinically, all deformities were corrected as planned. Thus, multiple assemblies and a wide range of corrections are available with the OSF. © 2013 American College of Foot and Ankle Surgeons