If f = EW:-, a,,t” is a formal Laurent series with certain restrictions on the a,, then f = f-fof+ , where fcontains only negative powers of t, f+ contains only positive powers of t, and f. is independent of t. Applications include Lagrange’s formula for series reversion, the problem of counting lattice paths below a diagonal, and a theorem of Furstenberg that the diagonal of a rational power s...

We describe non-conventional localization of the midband E = 0 state in square and cubic finite bipartite lattices with off-diagonal disorder by solving numerically the linear equations for the corresponding amplitudes. This state is shown to display multifractal fluctuations, having many sparse peaks, and by scaling the participation ratio we obtain its disorder-dependent fractal dimension D2....

Abstract Diagonal (multiplication) operators acting between a particular class of countable inductive spectra Fréchet sequence spaces, called (LF)-spaces, are investigated. We prove results concerning boundedness, compactness, power and mean ergodicity. Furthermore, we determine when diagonal operator is Montel reflexive. analyze the in terms system weights defining spaces.

Distributed Generations (DGs) are utilized to supply the active and reactive power in the transmission and distribution systems. These types of power sources have many benefits such as power quality enhancement, voltage deviation reduction, power loss reduction, load shedding reduction, reliability improvement, etc. In order to reach the above benefits, the optimal placement and sizing of DG is...

CONTEXT Assessment techniques used to measure functional tasks involving active trunk control are restricted to linear movements that lack the explosive movements and dynamic tasks associated with activities of daily living and sport. Reliable clinical methods used to assess the diagonal and ballistic movements about the trunk are lacking. OBJECTIVE To assess the interday reliability of peak ...

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| The reduction of power consumption for a system level pipeline is addressed in this paper. The pipeline is composed of several stages. Each stage has several behaviours. Di erent behaviours have di ering execution times. The speed of the pipeline is only a ected by the behaviours on the critical path of the slowest stages. Other behaviours can be slowed down to decrease the power consumed in ...