We provide a new representation of a refinable shift invariant space with a compactly supported generator, in terms of functions with a special property of homogeneity. In particular, these functions include all the homogeneous polynomials that are reproducible by the generator, which links this representation to the accuracy of the space. We completely characterize the class of homogeneous fun...

Given a Hilbert space and the generator of a strongly continuous group on this Hilbert space. If the eigenvalues of the generator have a uniform gap, and if the span of the corresponding eigenvectors is dense, then these eigenvectors form a Riesz basis (or unconditional basis) of the Hilbert space. Furthermore, we show that none the conditions can be weakened.

1. Electrical Power Theory 1.1 Electrical Energy 1.2 Direct and Alternating Current 1.3 Three-Phase Systems 1.4 Star and Delta Connections 1.5 Phasor Representation 2. Electrical Generators 2.1 General Theory 3. Electrical Transformers 3.1 General Theory 3.2 Transformer Connections 4. Electrical Generator Configuration 4.1 Generator Rotor 4.2 Generator Stator 4.3 Excitation System 4.4 Generator...

A distribution space is called finitely shift invariant (FSI) if it is generated by a vector-valued distribution (generator) and its shifts. The linear independence of shifts of a generator is important in many applications. This paper provides a characterization for linear independence of the shifts of a generator of an FSI distribution space and presents a way to find the generators with line...

The significance of reliable energy storage systems in spacecraft applications cannot be overstated, since they play a vital role ensuring continuous power supply and prolonged mission durations. This research deals with the modeling hybrid multi-mission radioisotope thermoelectric generator (MMRTG)-lithium-ion (Li-ion) battery integrated system for to combine RTGs’ long lifespan reliability be...

In this paper, we propose a new implementation of chaotic generator using artificial neural network. Neural network can act as an efficient source of perturbation in the chaotic generator which increases the cycle’s length, and thus avoid the dynamical degradation due to the used finite dimensional space. On the other hand, the use of neural network enlarges the key space of the chaotic generat...

WPHACT 2.0 is the new fully massive version of a MC program and unweighted event generator which computes all Standard Model processes with four fermions in the final state at ee colliders. The program can now generate unweighted events for any subset of all four fermion final states in a single run, by making use of dedicated pre-samples which can cover the entire phase space. Improvements wit...

The paper considers transient analysis using randomization for superposed generalized stochastic Petri nets (GSPNs). Since state space explosion implies that space is the bottleneck for numerical analysis, superposed GSPNs profit from the structured representation known for its associated Markov chain. This moves the bottleneck for analysis from space for generator matrices to space for iterati...