Abstract We propose an all on-chip micro-ring resonator array spectrum detection system (MRRAS). Micro-ring as the core is used to construct transmission matrix of system. The theoretical analysis completed with waveguide theory and construction method based on convex optimization algorithm. In experiment, we obtain priori information system, then detect output intensity unknown through MRRAS, ...

let $r$ be a ring‎, ‎and let $n‎, ‎d$ be non-negative integers‎. ‎a right $r$-module $m$ is called $(n‎, ‎d)$-projective if $ext^{d+1}_r(m‎, ‎a)=0$ for every $n$-copresented right $r$-module $a$‎. ‎$r$ is called right $n$-cocoherent if every $n$-copresented right $r$-module is $(n+1)$-coprese-nted‎, ‎it is called a right co-$(n,d)$-ring if every right $r$-module is $(n‎, ‎d)$-projective‎. ‎$r$ ...

Ring signature enables an user to anonymously sign a message on behalf of a group of users termed as ‘ring’ formed in an ‘ad-hoc’ manner. A naive scheme produces a signature linear in the size of the ring, but this is extremely inefficient when ring size is large. Dodis et al. proposed a constant size scheme in EUROCRYPT’13, but provably secure in random oracle model. Best known result without ...

the zero-divisor graph of a commutative ring r with respect to nilpotent elements is a simple undirected graph $gamma_n^*(r)$ with vertex set z_n(r)*, and two vertices x and y are adjacent if and only if xy is nilpotent and xy is nonzero, where z_n(r)={x in r: xy is nilpotent, for some y in r^*}. in this paper, we investigate the basic properties of $gamma_n^*(r)$. we discuss when it will be eu...

The differential diagnosis of fever of unknown origin (FUO) includes infectious, neoplastic, rheumaticinflammatory and miscellaneous diseases. We report the case of a 35-year-old man with FUO caused by Q fever. A liver biopsy showed the characteristic fibrin-ring lipogranulomas compatible with Q fever. The serologic tests confirmed the diagnosis of acute infection by Coxiella burnetii. The ther...

Permutation polynomials over a ring of modulo 2w are compatible with digital computers and digital signal processors, and so they are in particular expected to be useful for cryptography and pseudo random number generator. In general, the period of the polynomial should be long in such fields. In this paper, we derive the necessary and sufficient condition which specify one-stroke polynomials w...

We demonstrated extraordinary THz transmission through ring apertures on a metal film. Transmission of 60% was obtained with an aperture-to-area ratio of only 1.4%. We show that the high transmission can be suppressed by over 18 dB with a thin layer of free carriers in the silicon substrate underneath the metal film. This result suggests that CMOS-compatible terahertz modulators can be built by...

The BABAR collaboration has observed a state of mass 2317 MeV/c 2 which decays to D s π 0 , using 91 fb −1 of data from asymmetric e + e − collisions of energy around 10.6 GeV produced by the PEP-II storage ring. The observed width is compatible with the experimental resolution, indicating that the state is narrow, with Γ < 10 MeV. Properties of the state are presented, and implications are dis...

Palladium-catalyzed ring-opening reactions of cyclopropanated 7-oxabenzonorbornadiene derivatives using alcohol nucleophiles were investigated. The optimal conditions were found to be 10 mol % PdCl2(CH3CN)2 in methanol, offering yields up to 92%. The reaction was successful using primary, secondary and tertiary alcohol nucleophiles and was compatible with a variety of substituents on cyclopropa...