We discuss recursive formulas for Branson’sQ-curvatures. The formulas present Q-curvatures of any order in terms of lower order Qcurvatures and lower order GJMS-operators. These presentations are universal in the sense that the recursive structure does not depend on the dimension of the underlying space. We give proofs for Q4 and Q6 for general metrics, and for Q8 for conformally flat metrics. ...

We claim that networks are created according to the priority attachment mechanism and we show a simple model which uses the priority attachment to generate both synthetic and close to empirical networks. Priority attachment is a mechanism which generalizes previously proposed mechanisms, such as small world creation or preferential attachment, but we also observe its presence in a range of real...

Today, an increasing number of home and office appliances that we interact with contain embedded Web Servers. Making available Web Services for remote access to their functionality is just a small step. In this paper, we present a multi-platform, model-based generation approach enabling efficient and low-cost development of interactive applications for accessing Web-Service-enabled appliances. ...

We present a new skew-normal distribution, denoted by NSN($lambada$). We first derive the density and moment generating function of NSN($lambada$). The properties of SN($lambada$), the known skew-normal distribution of Azzalini, and NSN($lambada$) are compared with each other. Finally, a numerical example for testing about the parameter $lambada$ in NSN($lambada$) is given. ...

Abstract The signature of a path can be described as its full non-commutative exponential. Following T. Lyons, we regard expectation, the expected , space analogue classical moment generating function. logarithm thereof, taken in tensor algebra, defines cumulant . We establish universal functional relation general semimartingale context. Our work exhibits importance Magnus expansions algorithmi...