Completeness on the worm domain and the M\"untz-Sz\'asz problem for the Bergman space

In this paper we are concerned with the problem of completeness in the Bergman space of the worm domain $\mathcal{W}_\mu$ and its truncated version $\mathcal{W}'_\mu$. We determine some orthogonal systems and show that they are not complete, while showing that the union of two particular of such systems is complete. In order to prove our completeness result we introduce the Muentz-Szasz problem for the 1-dimensional Bergman space of the disk $\{\zeta : |\zeta-1|<1\}$ and find a sufficient condition for its solution.Comment: 14 pages, Author Accepted Manuscrip

Split torque transmission load sharing

Split torque transmissions are attractive alternatives to conventional planetary designs for helicopter transmissions. The split torque designs can offer lighter weight and fewer parts but have not been used extensively for lack of experience, especially with obtaining proper load sharing. Two split torque designs that use different load sharing methods have been studied. Precise indexing and alignment of the geartrain to produce acceptable load sharing has been demonstrated. An elastomeric torque splitter that has large torsional compliance and damping produces even better load sharing while reducing dynamic transmission error and noise. However, the elastomeric torque splitter as now configured is not capable over the full range of operating conditions of a fielded system. A thrust balancing load sharing device was evaluated. Friction forces that oppose the motion of the balance mechanism are significant. A static analysis suggests increasing the helix angle of the input pinion of the thrust balancing design. Also, dynamic analysis of this design predicts good load sharing and significant torsional response to accumulative pitch errors of the gears

Effectiveness of Different Agricultural Management Styles as Insect Biological Corridors: A comparison of insect populations in fragmented Chocó cloud forest, Ecuador

Insects are part of the most diverse class of animals on the planet and are essential to various ecological functions such as pollination, nutrient cycling, providing a food source for other taxa, and more. The diversity and ecological services of insects are necessary to the operation of agriculture because of pest control and pollination of crops. However, the diversity of insects is severely reduced due to fragmentation. It is currently not well understood if certain types of agriculture can lessen the impact of fragmentation on natural and crop-based insect communities. In this study, insect populations in four different agricultural management styles and their borders were analyzed to understand the difference in insect populations not only within different cultivated areas, but to also understand the potential for different agricultural management styles to function as biological corridors for insects. Two types of sampling were done to observe the soil insect population as well as the winged insect population found in each study area. A 20cm3 sample of soil was taken from each quadrant to collect the soil insects present. Additionally, within a 10m by 5m quadrant a netting collection was done for two hours. All insects were persevered and identified to family level with a microscope. It was found that the traditional organic polyculture contained the highest diversity of both soil and winged insects and had the most similar insect community to its border according to β diversity calculations. Agricultural systems that focus on mimicking components of natural ecosystems such as increased biodiversity, absence of pesticides, and minimum soil disturbance are most likely to function as relatively effective biological corridors for insects between forest fragments. Insectos son una parte de la clase más diversa de animales en el planeta y son esenciales a varias funciones ecológicas, por ejemplo, polinización, el ciclo de nutrientes, provenir una fuente de comida para otros taxones y más. La diversidad y los servicios ecológicos de insectos son necesarios a la operación del sistema agrícola a causa de control de las plagas y la polinización de los cultivos. Sin embargo, la diversidad de insectos es reducida severamente debido a la fragmentación. En este momento, no se entiende bien si algunos tipos de agricultura pueden reducir el impacto de fragmentación en comunidades de insectos naturales y en cultivos. En esta investigación, poblaciones de insectos de cuatro estilos diferentes del manejo agrícola y sus bordes fueron analizados para entender la diferencia en poblaciones de insectos no solo dentro de las áreas cultivadas, sino entender la potencial para estilos diferentes del manejo agrícola para funcionar como corredores biológicos por insectos también. Dos tipos diferentes de muestras fueron tomados para observar la población de los insectos del suelo además de la población de los insectos alados encontrados en cada área de investigación. Una muestra de 20cm3 fue tomada de cada cuadrante para colectar los insectos de suelo presentes. Además, dentro de un cuadrante de 10m por 5m una colección de la red fue hecha por dos horas. Todos de los insectos fueron preservados e identificados al nivel de familia con un microscopio. Fue encontrado que el policultivo orgánico tradicional contuvo la diversidad más alta de insectos del suelo y alados y tuvo la comunidad de insectos más similar a su borde según calculaciones de diversidad β. Los sistemas de agricultura que enfocan en el mimetismo de los componentes de ecosistemas naturales como biodiversidad aumentada, ausencia de las pesticidas, y la perturbación mínima del suelo son más probable que funcionar como corredores biológicos efectivos relativamente para insectos entre fragmentos del bosque