We develop the noncommutative geometry (bundles, connections etc.) associated to algebras that factorise into two subalgebras. An example is the factorisation of matrices M2(C) = CZ2 ·CZ2. We also further extend the coalgebra version of theory introduced previously, to include frame resolutions and corresponding covariant derivatives and torsions. As an example, we construct q-monopoles on all ...

In some video applications, the variable bit rate (VBR) video bitstream will be transmitted over a constant bit rate (CBR) transmission channel, in which a channel buffer is employed. In this study, a rate control scheme for H.26L video transmission is proposed. The target number of bits for each frame is first obtained. Two rate-quantization (R-Q) models are proposed to approximate the relatio...

In the determination of suitable frame sizes associated with dynamic framed slotted Aloha used in radio frequency identification tag identification processes, the widely imposed constraint Q L 2 = often yields inappropriate values deviating far from the optimal values, while a straightforward use of the estimated optimal frame sizes causes frequent restarts of read procedures, both resulting in...

partial frames provide a rich context in which to do pointfree structured and unstructured topology. a small collection of axioms of an elementary nature allows one to do much traditional pointfree topology, both on the level of frames or locales, and that of uniform or metric frames. these axioms are sufficiently general to include as examples bounded distributive lattices, $sigma$-frames, $ka...

The study of the c$k$-fusions frames shows that the emphasis on the measure spaces introduces a new idea, although some similar properties with the discrete case are raised. Moreover, due to the nature of measure spaces, we have to use new techniques for new results. Especially, the topic of the dual of frames  which is important for frame applications, have been specified  completely for the c...

The theory of frames is fundamental to timefrequency (TF or time-scale signal expansions like Gabor ysis of frames via two “TF frame representations” called the Weyl symbol and Wigner distribution of a frame. The T F analysis shows how a frame’s properties depend on the signal’s T F location and on certain frame parameters. 1 I N T R O D U C T I O N Linear time-frequency (TF) or time-scale sign...

The review of modern study of algebraic, geometric and differential properties of quaternionic (Q) numbers with their applications. Traditional and ”tensor” formulation of Q-units with their possible representations are discussed and groups of Q-units transformations leaving Q-multiplication rule form-invariant are determined. A series of mathematical and physical applications is offered, among...

A review of neutron form factor measurements is given. We focus on recent measurements of the neutron magnetic form factor G n M , and discuss in detail our measurements of this quantity at momentum transfers Q 2 = 0.1 − 0.6 (GeV/c) 2. In the one photon exchange approximation, the elastic electron – nucleon differential cross section is described by the so-called Rosenbluth formula 1. The expre...

Watt three-stage Q-band MESFET monolithic power amplifier'. Fig. 1 Packerpipping scheme for packet synchronisation Within this frame, however, the packet may Hoat. If such traffic is presented to an all-optical packet switch with slot size equal to the frame size (i.e. with twice as long slot size), the switch preserves the 'one packet per frame' rule. However, if this traffic coming from the o...

a generalization of the known results in fusion frames and $g$-frames theory to continuous fusion frames which defined by m. h. faroughi and r. ahmadi, is presented in this study. continuous resolution of the identity (cri) is introduced, a new family of cri is constructed, and a number of reconstruction formulas are obtained. also, new results are given on the duality of continuous fusion fram...