with a picture group pattern of IBBPBBPBBPBB. (MPEG encodings contain three types of frames, I, P, and B, that vary in size and importance.) The pattern 100000000000 requests that only the I-frames be prefetched. The pattern 100100100100 requests both Iframes and P-frames. Patterns can be of arbitrary length. For example, 100100100100100100100000 requests all Iframes and five of every six P-fra...

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...

In this article, we consider pair frames in Banach spaces and   introduce Banach pair frames. Some various concepts in the frame theory such as frames, Schauder frames, Banach frames and atomic decompositions are considered as   special kinds of (Banach) pair frames.  Some frame-like inequalities  for (Banach)  pair frames are presented. The elements that participant  in the construction of (Ba...

Fast-paced dynamic environments like robot soccer require highly responsive and dynamic locomotion. We present an implementation of an omnidirectional ZMP-based walk engine for the Nao robot. Using a simple inverted pendulum model, a preview controller generates dynamically balanced center of mass trajectories. To enable path planning, we introduce a system of global and egocentric coordinate f...

We compare Kripke models and a simpliied notion of Interpreted Systems as semantic structures for reasoning about knowledge. It is intuitively clear that interpreted systems represent a special class of Kripke models; the goal of this paper is to make this intuition formal, and to clarify the relationship between the two semantic structures. Our method is to deene a map from the class of system...

We present a new implementation of the BB84 quantum key distribution protocol that employs a d-dimensional Hilbert space spanned by spatial modes of the propagating beam that have a definite value of orbital angular momentum. Each photon carries log d bits of information, increasing the key generation rate of the protocol. The states used in the transmission part of the protocol are invariant u...

Methods Eighteen volunteers and two patients underwent 4D Flow scan on a Phillips system (25 frames, 2.5mm). Flow was visualized by streamlines and particle traces ("GTFlow” software). 2D planes placed in 5 locations were used to grade flow patterns: 1) just after to the pulmonary valve, 2) before the PA bifurcation, 3) between plane 1 and 2, 4) Right-PA, and 5) Left-PA. Sagital and coronal pla...

Generalized frames are an extension of frames in Hilbert  spaces and  Hilbert $C^*$-modules. In this paper, the concept ''Similar" for modular $g$-frames is introduced and all of operator duals (ordinary duals) of similar $g$-frames with respect to each other are characterized. Also, an operator dual of a given $g$-frame is studied where $g$-frame is constructed by a primary $g$-frame and an or...