Isotopic Equivalence from Bezier Curve Subdivision

We prove that the control polygon of a Bezier curve B becomes homeomorphic and ambient isotopic to B via subdivision, and we provide closed-form formulas to compute the number of iterations to ensure these topological characteristics. We first show that the exterior angles of control polygons converge exponentially to zero under subdivision.Comment: arXiv admin note: substantial text overlap with arXiv:1211.035

Malarial Fever in Horses

This disease is also called swamp fever by farmers, and pernicious anaemia by veterinarians. In Nebraska many of the farmers call the disease typhoid fever, for it resembles this fever very much. The manner in which the disease is contracted by horses is not definitely understood. In the last few years, the veterinarians in the Philippines have discovered a disease, prevalent in India under the name of surra, the description of which corresponds very much to that of malarial fever of horses in this country, with the exception that bacteriologists have not been able to find the surra parasite in the blood of affected animals in this country. As the parasite of surra is very easily detected in the blood of affected animals, and as we have not been able to discover it, the conclusion seems reasonable that the diseases are not identical. It is difficult to ascertain how the disease first made its appearance in Nebraska. We find it on the marshy pastures during very \u27wet seasons. It is the general opinion of those who have studied the disease that it is caused by feeding on certain low, marshy pastures and on hay that comes from such pastures. Whatever its origin, the disease has spread on these pastures during the last few years. Horses die from this disease on the Missouri river bottom and in the Elkhorn valley and farther up in the western part of the state. In these districts the loss is very great, especially in wet seasons, such as we have had in the last few years. To the stockman the loss is very heavy, for when it once makes its appearance on a ranch, it is very apt to recur, and carry off every horse. Many ranch-men in these districts lost all of their hores and were seriously crippled in finishing up their season\u27s work, many farmers losing from two to eight head of horses. This is the most serious disease among horses that this state has been called upon to investigate

Malarial Fever in Horses

This disease is also called swamp fever by farmers, and pernicious anaemia by veterinarians. In Nebraska many of the farmers call the disease typhoid fever, for it resembles this fever very much. The manner in which the disease is contracted by horses is not definitely understood. In the last few years, the veterinarians in the Philippines have discovered a disease, prevalent in India under the name of surra, the description of which corresponds very much to that of malarial fever of horses in this country, with the exception that bacteriologists have not been able to find the surra parasite in the blood of affected animals in this country. As the parasite of surra is very easily detected in the blood of affected animals, and as we have not been able to discover it, the conclusion seems reasonable that the diseases are not identical. It is difficult to ascertain how the disease first made its appearance in Nebraska. We find it on the marshy pastures during very \u27wet seasons. It is the general opinion of those who have studied the disease that it is caused by feeding on certain low, marshy pastures and on hay that comes from such pastures. Whatever its origin, the disease has spread on these pastures during the last few years. Horses die from this disease on the Missouri river bottom and in the Elkhorn valley and farther up in the western part of the state. In these districts the loss is very great, especially in wet seasons, such as we have had in the last few years. To the stockman the loss is very heavy, for when it once makes its appearance on a ranch, it is very apt to recur, and carry off every horse. Many ranch-men in these districts lost all of their hores and were seriously crippled in finishing up their season\u27s work, many farmers losing from two to eight head of horses. This is the most serious disease among horses that this state has been called upon to investigate

Design of helicopter rotor blades for optimum dynamic characteristics

The mass and stiffness distributions for helicopter rotor blades are tailored in such a way to give a predetermined placement of blade natural frequencies. The optimal design is pursued with respect of minimum weight, sufficient inertia, and reasonable dynamic characteristics. Finite element techniques are used as a tool. Rotor types include hingeless, articulated, and teetering

INVESTIGATION INTO THE RATE OF TRIOCTYLAMINE PARTITIONING INTO THE MCU AQUEOUS PHASES

The Savannah River National Laboratory (SRNL) has examined the issue of trioctylamine (TOA) losses at the Modular Caustic-Side Solvent Extraction Unit (MCU) solvent. For this study, SRNL used partitioning and radiolysis data from the Oak Ridge National Laboratory (ORNL) as well as actual MCU operational data. From the radiolysis data, SRNL prepared a model on the rate of TOA degradation. From the combined sets of data, SRNL has calculated the largest possible value of TOA (although this value is not credible) in the Strip Effluent (SE) and also calculated two different conservative, more realistic values for TOA in the SE. Even under conservative assumptions, such as all of the TOA losses partitioning solely into the Strip Effluent (SE), the MCU operational data suggests that the maximum realistic TOA concentration in the SE is < 0.6 mg/L. Furthermore, from understanding the chemical differences between the old and new strip solutions, SRNL does not believe that the TOA will deplete from the blended BOBCalixC6 – Next Generation Solvent (NGS-MCU) at a rate higher than previously experienced. Finally, SRNL recommends pursuing analytical development of a method for TOA with a superior precision compared to the current method. However, as the TOA in the blended solvent will continuously decline during MCU operations, further improvements in the development of the understanding of TOA losses may not be cost effective