Let ~ v0, ..., ~ vk be vectors in Z k which generate Zk. We show that a body V ⊂ Zk with the vectors ~ v0, ..., ~ vk as edge vectors is an almost minimal set with the property that every function f : V → R with periods ~ v0, ..., ~ vk is constant. For k = 1 the result reduces to the theorem of Fine and Wilf, which is a refinement of the famous Periodicity Lemma. Suppose ~0 is not a non-trivial ...

The structure of real-world social networks in large part determines the evolution of social phenomena, including opinion formation, diffusion of information and influence, and the spread of disease. Globally, network structure is characterized by features such as degree distribution, degree assortativity, and clustering coefficient. However, information about global structure is usually not av...

2014 We study the fission dynamics from the region of the saddle point to the scission configuration. For this we solve an équation of Fokker-Planck type for a multi-dimensional Wigner function. This équation accounts for dissipative as well as quantal features. We study the influence of the initial condition as well as friction and diffusion coefficients on the final values for the variances o...

In this paper, we studied the research areas of Chinese natural science basic research from a point view of complex network. Two research areas are considered to be connected if they appear in one fund proposal. The explicit network of such connections using data from 1999 to 2004 is constructed. The analysis of the real data shows that the degree distribution of the research areas network (RAN...

In this paper, we studied the research areas of Chinese natural science basic research from a point view of complex network. Two research areas are considered to be connected if they appear in one fund proposal. The explicit network of such connections using data from 1999 to 2004 is constructed. The analysis of the real data shows that the degree distribution of the research areas network (RAN...

The meta-analysis of coefficient alpha across many studies is becoming more common in psychology by a methodology labeled reliability generalization. Existing reliability generalization studies have not used the sampling distribution of coefficient alpha for precision weighting and other common meta-analytic procedures. A framework is provided for a statistically grounded meta-analysis of coeff...

A quantum key distribution scheme whose security depends on the features of preand post-selected quantum ensembles is described. PACS numbers: 03.65.Bz, 42.80.Sa, 89.70.+c A wide variety of quantum key distribution schemes have been proposed, following the original Bennett and Brassard protocol [1]. Ekert [2] has described a scheme in which two parties, Alice and Bob, create a shared random key...

In this paper, we studied the research areas of Chinese natural science basic research from a point view of complex network. Two research areas are considered to be connected if they appear in one fund proposal. The explicit network of such connections using data from 1999 to 2004 is constructed. The analysis of the real data shows that the degree distribution of the research areas network (RAN...

In this paper we proposed a new two-parameters lifetime distribution with increasing failure rate, the complementary exponential geometric distribution, which is complementary to the exponential geometric model proposed by Adamidis & Loukas (1998). The new distribution arises on a latent complementary risks scenarios, where the lifetime associated with a particular risk is not observable, rathe...