Evolution Of Special Ruled Surfaces Via The Evolution Of Their Directrices In Euclidean 3-Space E3

In this paper, evolutions of ruled surfaces that are generated by the normal and binormal vector fields of space curve (normal and binormal surfaces) are presented. These evolutions of the ruled surfaces depend on the evolutions of their directrices. Geometric visualization of these ruled surfaces are presented. In addition, the conditions which make these surfaces of types inextensible, developable and minimal are obtained

Stream Fusion, to Completeness

Stream processing is mainstream (again): Widely-used stream libraries are now available for virtually all modern OO and functional languages, from Java to C# to Scala to OCaml to Haskell. Yet expressivity and performance are still lacking. For instance, the popular, well-optimized Java 8 streams do not support the zip operator and are still an order of magnitude slower than hand-written loops. We present the first approach that represents the full generality of stream processing and eliminates overheads, via the use of staging. It is based on an unusually rich semantic model of stream interaction. We support any combination of zipping, nesting (or flat-mapping), sub-ranging, filtering, mapping-of finite or infinite streams. Our model captures idiosyncrasies that a programmer uses in optimizing stream pipelines, such as rate differences and the choice of a "for" vs. "while" loops. Our approach delivers hand-written-like code, but automatically. It explicitly avoids the reliance on black-box optimizers and sufficiently-smart compilers, offering highest, guaranteed and portable performance. Our approach relies on high-level concepts that are then readily mapped into an implementation. Accordingly, we have two distinct implementations: an OCaml stream library, staged via MetaOCaml, and a Scala library for the JVM, staged via LMS. In both cases, we derive libraries richer and simultaneously many tens of times faster than past work. We greatly exceed in performance the standard stream libraries available in Java, Scala and OCaml, including the well-optimized Java 8 streams

Low uptake of antiretroviral therapy after admission with human immunodeficiency virus and tuberculosis in KwaZulu-Natal, South Africa.

A prospective cohort study was conducted among human immunodeficiency virus (HIV) infected in-patients with tuberculosis (TB) or other opportunistic infections (OIs) in South Africa to estimate subsequent antiretroviral therapy (ART) uptake and survival

Analisis Pendapatan dan Kelayakan USAha Industri Minyak Nilam di Desa Lumbutarombo Kecamatan Banawa Selatan Kabupaten Donggala

This study aims to determine the feasibility and income on Patchouli Oil Industry at the Village Lumbutarombo Donggala District of South Banawa. This research was conducted in the village of Lumbutarombo in September 2015. The determination of the respondents in this research was intentionally (purposive), selected respondents were higher rank staff and employees of Patchouli Oil Industry. The data used in this study derived from primary data and secondary data. The analysis was done for income and feasibility of this industry. The results showed that income per month patchouli oil industry was 15,950,375 IDR and the Patchouli Industry is feasible with 1.18 as R/C value

Interaction of Nonlinear Schr\"odinger Solitons with an External Potential

Employing a particularly suitable higher order symplectic integration algorithm, we integrate the 1-$d$ nonlinear Schr\"odinger equation numerically for solitons moving in external potentials. In particular, we study the scattering off an interface separating two regions of constant potential. We find that the soliton can break up into two solitons, eventually accompanied by radiation of non-solitary waves. Reflection coefficients and inelasticities are computed as functions of the height of the potential step and of its steepness.Comment: 14 pages, uuencoded PS-file including 10 figure

A note on the integrable discretization of the nonlinear Schr\"odinger equation

We revisit integrable discretizations for the nonlinear Schr\"odinger equation due to Ablowitz and Ladik. We demonstrate how their main drawback, the non-locality, can be overcome. Namely, we factorize the non-local difference scheme into the product of local ones. This must improve the performance of the scheme in the numerical computations dramatically. Using the equivalence of the Ablowitz--Ladik and the relativistic Toda hierarchies, we find the interpolating Hamiltonians for the local schemes and show how to solve them in terms of matrix factorizations.Comment: 24 pages, LaTeX, revised and extended versio

Ibrutinib-associated sever skin toxicity: A case of multiple inflamed skin lesions and cellulitis in a 68-year-old male patient with relapsed chronic lymphocytic leukemia Case report and literature review

Introduction: Ibrutinib is an oral inhibitor of Bruton's tyrosine kinase that is used for a variety of B cell hematological malignancies. Skin and subcutaneous tissue manifestations have been reported and were witnessed in up to 32% of the patients on ibrutinib. The mechanism in which ibrutinib can cause skin toxicities has been thought due to the inhibition of epidermal growth factor; c-Kit and platelet-derived growth factor receptor). Here, we report a case of an elderly chronic lymphocytic leukemia patient who developed multiple inflamed lesions and lower limb cellulitis in 100 days after initiating ibrutinib therapy. Case report: A 68-year-old male patient with relapsed chronic lymphocytic leukemia was started on ibrutinib 420 mg orally daily following multiple lines of therapy. Three months following ibrutinib, the patient developed multiple hyper pigmented lesions over both forearms then over both thighs; buttocks and lower limbs. The lesions were labeled as ecthyma and cellulitis that started as papules, which progressed to pustules. Management and outcomes: The patient required admission in which he received prolonged course of antibiotics. Biopsy from the wound showed soft tissue fragment infiltrated by acute and chronic inflammatory cells with necrosis; rare foreign body giant cells and granulation tissue formation; suggestive of abscess. Subsequently, ibrutinib was stopped permanently. Discussion: This is the first case description of an ibrutinib-associated sever skin toxicity in Qatar. The provided information regarding the clinical descriptions of toxicity profiles in general and skin-based in particular is valuable information for daily clinical practice, especially when selecting the optimum first-line treatment for the patient.Scopu

Design and analysis of a novel concentric rings based crossed lines single negative metamaterial structure

AbstractThis paper presents the design and analysis of a novel single negative metamaterial (MTM) based on concentric rings with crossed lines (CR-CL) to be miniaturized to λ/4 at 15GHz. The unit cell is structured to behave as a single negative MTM, -ε or -μ, at different frequency bands. The unit cell is consistent of a dielectric substrate, 5×5×1mm3, of FR4-Epoxy underneath of a conductive patch designed as 4.4×4.4mm2. A complete analysis in terms of S-parameters, constitutive parameters and refraction index are evaluated for the unit cell using both full wave simulation and circuitry analysis as well. Nevertheless, the unit cell characteristics based circuit equivalent lumped components are retrieved. HFSS software package based on Finite Element Method (FEM) and Advanced Design System (ADS) based on circuit analysis formulations are invoked to perform the simulation study. Later on, the obtained simulation results are compared to their identical measurements based on transmission line technique. Finally, the simulated and measured results are agreed excellently

The Effect of Nano–Micro Silica Mixture on the Shear Strength of Reinforced Concrete Beams

This paper examines the significance of nano silica and micro silica mixture on the shear strength of reinforced concrete beams. The nano and micro silica mixture was used as a partial replacement for Portland cement with different proportions to produce four (4) concrete mixtures. In this research, the tests on fresh concrete mixtures (slump test, density test and air content test) were performed. The compressive strength of concrete mixtures was tested. The shear strength of reinforced concrete beams with and without shear reinforcement is examined. Moreover, the influence of the multi-sized silica mixture on other mechanical characteristics of concrete related to the shear behavior of concrete beams, shear crack width, the inclination angle of shear cracks and deflection were also examined. From test results, the mixture of 2% nano silica with 8% micro silica was found to lead to the highest compressive strength, it improve the concrete compressive strength up to 33% compared with control specimens. The shear strength of the concrete beam incorporating 8% micro silica and 2% nano silica mixture was also improved, it increased by 30% and 59 % for beams with and without steel stirrups, respectively. The significance of nano-micro silica mixture on the concrete contribution to the shear strength of reinforced concrete beams is examined. The nano-micro silica mixture increased concrete contribution to shear strength of reinforced concrete beams up to 17%

Reconnection and acoustic emission of quantized vortices in superfluid by the numerical analysis of the Gross-Pitaevskii equation

We study numerically the reconnection of quantized vortices and the concurrent acoustic emission by the analysis of the Gross-Pitaevskii equation. Two quantized vortices reconnect following the process similar to classical vortices; they approach, twist themselves locally so that they become anti-parallel at the closest place, reconnect and leave separately.The investigation of the motion of the singular lines where the amplitude of the wave function vanishes in the vortex cores confirms that they follow the above scenario by reconnecting at a point. This reconnection is not contradictory to the Kelvin's circulation theorem, because the potential of the superflow field becomes undefined at the reconnection point. When the locally anti-parallel part of the vortices becomes closer than the healing length, it moves with the velocity comparable to the sound velocity, emits the sound waves and leads to the pair annihilation or reconnection; this phenomena is concerned with the Cherenkov resonance. The vortices are broken up to smaller vortex loops through a series of reconnection, eventually disappearing with the acoustic emission. This may correspond to the final stage of the vortex cascade process proposed by Feynman. The change in energy components, such as the quantum, the compressible and incompressible kinetic energy is analyzed for each dynamics. The propagation of the sound waves not only appears in the profile of the amplitude of the wave function but also affects the field of its phase, transforming the quantum energy due to the vortex cores to the kinetic energy of the phase field.Comment: 11 pages, 16 figures, LaTe