Showing papers by "University of Science and Technology of China published in 1980"
TL;DR: In this paper, the anomalous dissipation near the Higgs phase transition in the early Universe might be one of the non-negligible mechanisms to produce the cosmic entropy, and the qualitative relations between the specific entropy and the mass and self-interaction of the vacuum field have been obtained.
97 citations
TL;DR: In this article, a generalization of the Wolstenholme-holme's theorem is obtained, which generalizes the Glaisher's congruence, and is shown to be equivalent to the result in this paper.
Abstract: Let p be an odd prime and let n ≥ 1, k ≥ 0 and r be integers. Denote by Bk the k-th Bernoulli number. It is proved that (i) If r ≥ 1 is odd and suppose p ≥ r + 4, then ${άthop♪m⌜mits_{j=1}^{p-1}} {1⩈er{(np+j)^r}}≡uiv-{(2n+1)r(r+1)⩈er{2(r+2)}}B_{p-r-2}p^2 ({⤪ mod} p^3)$. (ii) If r ≥ 2 is even and suppose p ≥ r + 3, then ${άthop♪m⌜mits_{j=1}^{p-1}} {1⩈er{(np+j)^r}}≡uiv-{r⩈er{r+1}}B_{p-r-1}p ({⤪ mod} p^2)$. (iii) ${άthop♪m⌜mits_{j=1}^{p-1}} {1⩈er{(np+j)}^{p-2}}≡uiv-(2n+1)p ({⤪ mod} p^2)$. This result generalizes the Glaisher’s congruence. As a corollary, a generalization of the Wolsten-holme’s theorem is obtained.
8 citations
TL;DR: In this article, a statistical investigation has been made on some characteristics of the evolution of radio galaxies with double structure, and the main results are as follows: 1. In the angular size-redshift diagram, there appears to be a lower bound (θmin −z), which corresponds to a minimum linear size D min ⋍ 40 kpc.
3 citations
TL;DR: In this article, the authors obtained a new property of the n-dimensional binary undirected de Bruijn graph UB(n) for n ≥ 4, namely, there is a vertex x such that for any other vertex y there exist at least two internally disjoint paths of length at most n - 1 between x and y.
Abstract: The authors obtain a new property of the n-dimensional binary undirected de Bruijn graph UB(n) for n ≥ 4, namely, there is a vertex x such that for any other vertex y there exist at least two internally disjoint paths of length at most n - 1 between x and y in UB(n). The result means that the (n - 1, 2)-dominating number of UB(n) is equal to one if n ≥ 4.
1 citations