Recently, tape wound cores due to their excellent magnetic properties, are widely used in different types of transformers. Performance prediction of these transformers needs an accurate model with ability to determine flux distribution within the core and magnetic loss. Spiral structure of tape wound cores affects the flux distribution and always cause complication of analysis. In this paper, a...

In this paper, by introducing characteristic polynomial of a cascade algorithm and joint spectral radius on a nitely dimensional space, we give complete characterization of the rate of convergence and increment of the cascade algorithm in Besov spaces and TriebelLizorkin spaces. Also moment conditions of the initial distribution and the re nable distribution in the cascade algorithm, close rela...

Convergence implies that previously unalike areas come together, approaching a common goal. A subordinate concept of convergence, i.e., media convergence, is a concept that has become common when denoting a range of processes within the production of media content, its distribution and consumption. The concept of media convergence has achieved buzzword status in many contexts due to its widespr...

Conditions, suitable for applications in finance, are given for the weak convergence (or convergence in probability) of stochastic integrals. For example, consider a sequence S of security price processes converging in distribution to S and a sequence θ of trading strategies converging in distribution to θ. We survey conditions under which the financial gain process ∫ θ dS converges in distribu...

if $g$ is a connected graph with vertex set $v$, then the eccentric connectivity index of $g$, $xi^c(g)$, is defined as $sum_{vin v(g)}deg(v)ecc(v)$ where $deg(v)$ is the degree of a vertex $v$ and $ecc(v)$ is its eccentricity. in this paper we show some convergence in probability and an asymptotic normality based on this index in random bucket recursive trees.