We generalize a major portion of the classical theory of Cand C embedded subspaces to pointfree topology, where the corresponding notions are frame Cand C -quotients. The central results characterize these quotients and generalize Urysohn’s Extension Theorem, among others. The proofs require calculations in CL, the archimedean f -ring of frame maps from the topology of the reals into the frame ...

An electrically neutral current-loop, with magnetic dipole m0, that is at rest in a static, uniform electric field E0 experiences no force or torque. However, if that system is observed in the lab frame where the loop has velocity v parallel to E0, and v c, where c is the speed of light, then there appears to be an electric dipole moment, p = v/c×m0 associated with the loop (in Gaussian units)....

In this paper, we define and study the notion of the real-valued functions on a frame $L$. We show that $F(L) $, consisting of all frame homomorphisms from the power set of $mathbb{R}$ to a frame $ L$, is an $f$-ring, as a generalization of all functions from a set $X$ into $mathbb R$. Also, we show that $F(L) $ is isomorphic to a sub-$f$-ring of $mathcal{R}(L)$, the ring of real-valued continu...

This paper considers a method for evaluation of Rate-DistortionComplexity (R-D-C) performance of video coding. A statistical model of the transformed coefficients is used to estimated the RateDistortion (R-D) performance. A model frame work for rate, distortion and slope of the R-D curve for inter and intra frame is presented. Assumptions are given for analyzing an R-D model for fast R-D-C eval...

Maintaining the translational reading frame poses difficulty for the ribosome. Slippery mRNA sequences such as CC[C/U]-[C/U], read by isoacceptors of tRNA(Pro), are highly prone to +1 frameshift (+1FS) errors. Here we show that +1FS errors occur by two mechanisms, a slow mechanism when tRNA(Pro) is stalled in the P-site next to an empty A-site and a fast mechanism during translocation of tRNA(P...

abstract to resist lateral loads in concrete buildings, usually systems such as flexural frame, shear wall or their combinations are used. using x form of cable bracing in order to strengthen concrete buildings is a new method. this system is more economical compared with the other systems due to cables low weight, high tensile resistance, easy performance and less maintenance problems. in this...

in this paper the author considers a general method, based on time domain samples for spectral manipulation of time limited signals. first, the original signal is divided into some frames in the time domain. then, by presenting a suitable theoretical and computational algorithm, and using a method for improving the speed of convergence, we find the local bandwidth of each frame; thereby, each f...

Finite tight frames are used widely for many applications. An important problem is to construct finite frames with prescribed norm for each vector in the tight frame. In this paper we provide a fast and simple algorithm for such purpose. Our algorithm employs the Householder transformations. For a finite tight frame consisting m vectors in R or C only O(nm) operations are needed. In addition, w...

In contrast to FLT3 ITD mutations, in-frame deletions in the FLT3 gene have rarely been described in adult acute leukemia. We report two cases of AML with uncommon in-frame mutations in the juxtamembrane domain of the FLT3 gene: a 3-bp (c.1770_1774delCTACGinsGT; p.F590_V592delinsLF) deletion/insertion and a 12-bp (c.1780_1791delTTCAGAGAATAT; p.F594_Y597del) deletion. We verified by sequencing t...

The Guaranteed Frame Rate service recently de ned by the ATM Forum allows users to send data in excess of their guaranteed service rate but only guarantees that such tra c will be delivered within the limits of available network resources that is it is transported on best e ort In order to distinguish tra c sent in line with the guaranteed service rate from tra c sent in excess a frame based ve...