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A theorem of Green, Tao, and Ziegler can be stated as follows: if R is a pseudorandom distribution, and D is a dense distribution of R, then D can be modeled as a distribution M which is dense in uniform distribution such that D and M are indistinguishable. The reduction involved in the proof has exponential loss in the distinguishing probability. Reingold et al give a new proof of the theorem ...

rfid system is a wireless technology that can transfer data between tags and readers via radio frequency. in an rfid network, readers are located close to each other to obtain optimal connectivity and sufficient coverage. in such an environment, which is called dense reader environment (dre).different types of collisions such as reader-to-reader and reader-to-tag ones, often lead to serious pro...

‎‎‎In this paper‎, ‎the‎ notion of injectivity with respect to order dense embeddings in ‎‎the category of $S$-posets‎, ‎posets with a monotone action of a‎ pomonoid $S$ on them‎, ‎is studied‎. ‎We give a criterion‎, ‎like the Baer condition for injectivity of modules‎, ‎or Skornjakov criterion for injectivity of $S$-sets‎, ‎for the order dense injectivity‎. ‎Also‎, ‎we consider such injectivit...

We study the effects of laser phase noise on a phase diversity coherent optical frequency domain (C-OFD) technique that has been recently proposed to measure passive devices used in dense wavelength division multiplexing (DWDM) systems. Theoretical expressions are provided to calculate the laser phase-noise to intensity-noise conversion in this technique under simplified circumstances. Obtained...

the submodules with the property of the title ( a submodule $n$ of an $r$-module $m$ is called strongly dense in $m$, denoted by $nleq_{sd}m$, if for any index set $i$, $prod _{i}nleq_{d}prod _{i}m$) are introduced and fully investigated. it is shown that for each submodule $n$ of $m$ there exists the smallest subset $d'subseteq m$ such that $n+d'$ is a strongly dense submodule of $m$...

We discuss the use of the Kubo Golden rule (KGR) in the derivation of new muon polarization functions for arbitrary static "eld distributions in both zero (ZF) and longitudinal (LF) applied "elds. ZF/LF muon spin relaxation measurements in spin-ladder system Sr(Cu 1~x Zn x ) 2 O 3 are reported, with observations of dilute moment freezing for x[0.008 and dense moment freezing for xZ0.008. In nei...