The exponent-type homologous linear rule of organic homologs was verified by using the electronic spectra of chain compounds of conjugated polyene.

a linear relation was suggested as following ;The new homologous linear rule was verified by using photoelectron spectrocopy data of both conjugated and non -conjugated systems.

Discussion on the resonant homologous linear rule;

This paper is taking 1/e as standard model,discussing physical meaning and importance of 1/e in electromagnetism, putting an any space-time coordinate of the even change physical problem that according to exponential law attenuation is taken consideration instead of the uneven change physical problem, and by 1/e, it have revealed some essential characteristic in physical process.

Based on the basic idea of adaptive variable structure control (AVSC), this paper deduces the reaching condition of adaptive sliding-mode, and proposes three laws according to which the slope of a switching line change: linear law, power law and exponential law.

According to the particularity and complexity of middlerange airtoground missile s descending process,this paper provided a descending ballistic trajectory scheme based on the method which let the missile first descend quickly according to fixed obliquity,then turn to exponential law for smooth transition to cruise process.