Let u be a positive integer and Z, the residue class ring modulo U. Two subsets D1 and D, of Z, are said to be equivalent if there exist t,seZ, with gcd(t, v)= 1 such that D, = tD, +s. We areâ€¦ (More)

This paper is motivated by R. H. Bruckâ€™s paper[3], in which he proved that the existence of cyclic projective plane of order n â‰¡ 1 (mod 3) implies that of a non-planar difference set of the sameâ€¦ (More)

Some nonexistence theorems for cyclic near difference sets of type 1 are established, some cyclic near difference sets of type 1 are constructed, and the uniqueness of (0, k, 1) cyclic nearâ€¦ (More)

As to the cardinality of the set %(R, S), little is known beyond the Gale-Ryser Theorem [l, 21 and the results of Snapper [S]. In general, the number I%(R, S)l is proba%y â€˜an extremely intrincateâ€¦ (More)

Osteosarcoma (OS) is reported to be one of the most familiar forms of the primary malignant tumor to adolescents and adults, which is usually found in their long bone1,2. OS is closely related to theâ€¦ (More)