28. What key parameters and design considerations are crucial for optimizing the performance of a magnetic sensor in a linear machine, and how do these factors contribute to achieving accuracy and reliability in sensing linear motion? In the context of linear machines, how can the choice of materials for the magnetic sensor impact its sensitivity and overall performance, and what are the trade-offs involved in selecting materials for optimal design? 37. How does the application of dynamic programming contribute to the optimization of online critic control in three-shaft web machine systems, and what specific advantages does it offer in comparison to other control methodologies? What are the key challenges and considerations in implementing optimal control strategies based on dynamic programming for three-shaft web machine systems in an online critic environment, and how can these challenges be addressed to enhance system performance and efficiency? 63. How does the novel structure of the double excitation synchronous machine enhance air-gap flux control, and what specific design features contribute to improved performance compared to traditional synchronous machines? What are the key advantages and potential applications of the proposed double excitation synchronous machine structure in terms of air-gap flux control, and how does it address existing challenges in the field of electrical machines and power systems? 119. How does the generation of pseudo-signals for scintillator modules contribute to the verification process of digital multi-channel analyzers in radiation detectors, and what specific parameters or characteristics are crucial to simulate accurately in these pseudo-signals? What challenges and considerations arise in the process of generating pseudosignals for scintillator modules, and how can the fidelity of these signals be ensured to effectively validate and verify the designs of digital multi-channel analyzers in the context of radiation detectors?