@article{oai:kitami-it.repo.nii.ac.jp:00006228, author = {品田, 雄治 and 川上, 正光}, issue = {3}, journal = {北見工業大学研究報告}, month = {Feb}, note = {application/pdf, It seems that the problem of the passive, lumped network synthesis has been completely solved. But for a given positive real function, how can it be synthesized with the minimum number of elements? Here, all networks constructed by elements of which the number is given have been sought and these immitances have been compared with the general biquadratic immitance. Next, the conditions under which the general biquadratic rational function equals the real positive function and the synthetic domains of Brune’s, Bott-Duffin’s and augmentationless Miyata’s procedures have been depicted, and the limits of the domains by these procedures have been established. In this paper the case of four elements-two resistances and two reactances-has been thought. Under special conditions, the network that consists of five elements by means of continued fraction expansion is synthesized with four elements}, pages = {466--474}, title = {双2次イミタンスの最少素子数構成法の研究 (第1報)}, volume = {2}, year = {1969} }