CAJ | 학술논문

基于规则联接的无穷正方形电阻网络任意节点间等效电阻的一些结果，采用二维平面傅里叶级数展开方法,导出了平面无穷矩形电阻网络中任意两节点间等效电阻的普适解，得到了一系列特殊的结论,应用所得公式,导出了数学上的一些新的不等式,并求解了一些二重积分难题．
기우규칙련접적무궁정방형전조망락임의절점간등효전조적일사결과，채용이유평면부리협급수전개방법,도출료평면무궁구형전조망락중임의량절점간등효전조적보괄해，득도료일계렬특수적결론,응용소득공식,도출료수학상적일사신적불등식,병구해료일사이중적분난제．
Based on some results of the equivalent resistance between any node in rule connected infinite square resistance network, this paper used a method of two-dimensional Fourier series expansion, that successfully exported the analytical solution of infinite plane rectangular resistance network equivalent resistance between any two nodes. The analytical solution has the general applicability, which derived a series of special conclusion, As some application of the formula, we can get some new mathematical inequalities, and can solve math problems on some of the double integral.