为探索带Sigmoid偏移量的连续单输出感知器的有效性,在学习率和Sigmoid偏移量为常数的条件下,提出针对带Sigmoid偏移量的连续单输出感知器的弱、强收敛性定理,并对两个定理进行详细地推导和证明。经收敛性证明得到,带Sigmoid偏移量的连续单输出感知器具备强收敛性。该结论为它的广泛应用提供了理论依据。 In order to explore the validity of continuous single output perceptrons with Sigmoid offset, we propose the weak and strong convergence of continuous single output perceptrons with Sigmoid offset when the learning rate and Sigmoid offset are constant. Theorem, and derive and prove the two theorems in detail. Convergence proved that the continuous single output sensor with Sigmoid offset has strong convergence. This conclusion provides a theoretical basis for its wide application.