in this paper, after reviewing some results in minimal space, some new results in this setting are given. we prove a generalized form of the fan-kkm typetheorem in minimal vector spaces. as some applications, the open type of matching theorem and generalized form of the classical kkm theorem in minimal vector spaces are given.

in some mobile systems, intelligent antennas are used to increase efficiency in a wide frequency band and different environmental and electromagnetic conditions. environmental factors, such as position of nearby objects, antenna mobility and even user type, can vary the antenna input impedance appreciably. therefore, it is necessary to incorporate an adaptive impedance matching circuit between ...

Abstract When spin rotating devices are used in an electron accelerator ring the stochastic depolarization caused by synchrotron radiation becomes issue. Special design of optics is required order to minimize harmful effect depolarization. Ring adjustments which help called matching. In this lecture formalism for deriving matching conditions presented. Then, derived examples a rotator based on ...