Curved surface rotation

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hi The problem you're describing involves simulating the positions of a filtering bowl that rotates about a shaft. The goal is to find a solution that requires less non-linear calculations and has rapid convergence. The curve of the bowl is defined as x = f1(t), y = f2(t), and z = f3(t). Each vertical line is defined as Axi + Byi + C*zi + D = 0, where i is an element of the set [0,n]. The rotation center (RC) is defined as Rxr + Syr + T*zr + U= 0. And the rotation rule is defined as (x-xr)/L = (y-yr)/M = (z-zr)/N, where Θ is the rotation angle in degrees. The goal is to solve for the rotated positions (y0’,…yi’,…yn’), where i is an element of the set [0,T]. One approach to solving this problem could be to use numerical methods, such as the Euler method or Runge-Kutta method, to approximate the solution. Another approach could be to use a optimization algorithm, such as gradient descent or Newton's method, to find the optimal solution. It's important to note that the choice of method will depend on the specific requirements and constraints of the problem, as well as the available computational resources. It's also worth consulting with experts in the field of numerical analysis and optimization to determine the best approach for your specific problem. text me for more details

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Dear Hiring Manager, I have a written an algorithm , you can check if its fullfil your demand or not. I am writing to express my interest in your project, "A filtering bowl rotates about a shaft." I am confident that I have the skills and qualifications necessary to successfully complete this project. I understand that the project's goal is to simulate the positions that are exposed to water, and that the current curve fitting approach is taking too much computing time. Therefore, the solutions that require less non-linear calculations and/or rapid convergence will be considered. I have experience in developing algorithms to solve mathematical problems, and I am familiar with the equations that are defined in your project description. Specifically, I am familiar with the curve defined as x = f1(t), y = f2(t), z = f3(t), and the vertical line equation, Axi + Byi + Czi + D = 0, for each point xi on the curve. I am also familiar with the equation of the rotation center, Rxr + Syr + Tzr + U= 0, and the rotation rule, (x-xr)/L= (y-yr)/M=(z-zr)/N. I will use these equations to develop an algorithm that can simulate the positions that are exposed to water. I am confident that I can deliver this project to you on time, and with high quality. I am available to start working on this project immediately. Please let me know if you would like to discuss this proposal further or if you have any questions. Thank you for your time and consideration, [Your name]