An n×n matrix X is called completely positive semidefinite (cpsd) if there exist d×d Hermitian positive semidefinite matrices {Pi}i=1 (for some d ≥ 1) such that Xij = Tr(PiPj), for all i, j ∈ {1, . . . , n}. The cpsd-rank of a cpsd matrix is the smallest d ≥ 1 for which such a representation is possible. In this work we initiate the study of the cpsd-rank which we motivate twofold. First, the c...

Abstract Rank-constrained spatial covariance matrix estimation (RCSCME) is a blind speech extraction method utilized under the condition that one-directional target and diffuse background noise are mixed. In this paper, we propose new model extension of RCSCME. RCSCME simultaneously conducts both deficient rank-1 component complementation matrix, which incompletely estimated by preprocessing me...

the aim of this study is to design an appropriate organizational culture for the military and police organizations. the main research question is that what is native model of recognition and management of organizational culture for the military and police? in order to achieve an accurate and definitive model to investigate the above question the first step is to review the existing models in th...

introductionpopulation data is easily accessible and shows the relationship between city size and other socio-economic factors in the city indirectly, so many geographers using this type of data to gain an understanding of the structure of the cities network and distribution of the people in the different levels of urban hierarchy. in fact, urban hierarchy is the best way of space organization ...

4.1.1 Step size selection rule Choosing the optimum step size α is desirable, but it may be computationally expensive. Hence, some other set of rules, which have good properties, e.g., convergence, are desirable. We illustrate one such rule in the following example, which is called as successive reduction rule. Example 4.1.1. Successive reduction rule: Start with an initial step size s > 0 and ...

Bergmann's and Rensch's rules describe common large-scale patterns of body size variation, but their underlying causes remain elusive. Bergmann's rule states that organisms are larger at higher latitudes (or in colder climates). Rensch's rule states that male body size varies (or evolutionarily diverges) more than female body size among species, resulting in slopes greater than one when male si...

the essential difference between hadd and ta‘zīr has long been accepted in islamic penal system. based on a study of the holy texts and the statements of the scholars it can be asserted that the rule according to which ‘the type and size of the hadd is defined by the legislator, whereas the type and amount of the ta‘zīr would only be determined by the islamic ruler’ is not comprehensive and lac...