雙方交表婚制的數理結構

BILATERAL CROSS-COUSIN MARRIAGE SYSTEM A MATHEMATICAL ANALYSIS

組構雙方交表婚連婚圈的繼嗣群體數P為偶數2n且n≧1時，其父系（m）及母系（f）的世代循環原則上均由P世代循環所支配，分節數即為P2。若繼嗣群為父系而其世代循環數定為q而p≠q時，分節數為Pq，母系世代循環數為P輿q的最小公倍數r，或者兩者相反。

Let a connubium with bilateral cross-cousin marriage consist of p unilineal descent groups or hordes. In the most natural type of such a connubium, the successive generations in each patriline, and also in each matriline, form a p-generation cycle, if p is even, and the total number of segments in the connubium is p2. If the descent group is patrilineal, with a q-generation cycle, with q≠p, the total number of segments is pq, and the successive matri-generations form an r-cycle, where r is the l.c.m. of p and q; and analogously for matrilineal descent groups.