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This lecture covers the analysis and design of network functions in the context of s-domain circuit analysis. It includes topics such as stability analysis, natural poles, impulse response, step response, and sinusoidal steady-state response. The lecture delves into the relationship between poles and stability, the number of natural poles, and the implications for circuit stability. It also explores the design and evaluation of network functions, emphasizing the importance of transfer functions in circuit performance assessment. Various examples and simulations are used to illustrate key concepts and practical applications.