1,964 research outputs found
Factorization algorithm based on the periodicity measurement of a CTES
We introduce a new factorization algorithm based on the measurement of the periodicity of a determined function, similar to Shor's algorithm. In particular, such a function is given by a generalized continuous truncated exponential sum (CTES). The CTES interference pattern satisfies a remarkable scaling property, which allows one to plot the interferogram as a function of a suitable continuous variable depending on the number to factorize. This allows one, in principle, to factorize arbitrary numbers with a single interferogram. In particular, information about the factors is encoded in the location of the interference maxima, which repeat periodically in the interferogram. A possible analogue computer for the implementation of such an algorithm can be realized using multi-path optical interferometers, with polychromatic light sources and a high-resolution spectrometer. The experimental accuracy in the realization of the CTES interferogram and the bandwidth of the polychromatic sources determine the largest number Nmax factorable. Once the CTES interferogram is recorded, all the numbers with value up to Nmax can be factorable, without performing any further measurement
New factorization algorithm based on a continuous representation of truncated Gauss sums
In this paper, we will describe a new factorization algorithm based on the continuous representation of Gauss sums, generalizable to orders j > 2. Such an algorithm allows one, for the first time, to find all the factors of a number N in a single run without precalculating the ratio N/l, where l are all the possible trial factors. Continuous truncated exponential sums turn out to be a powerful tool for distinguishing factors from non-factors (we also suggest, with regard to this topic, to read an interesting paper by S. Wölk et al. also published in this issue [Wölk, Feiler, Schleich, J. Mod. Opt. in press]) and factorizing different numbers at the same time. We will also describe two possible M-path optical interferometers, which can be used to experimentally realize this algorithm: a liquid crystal grating and a generalized symmetric Michelson interferometer
FACTORIZATION OF INTEGERS WITH MULTI-PATH OPTICAL INTERFERENCE
We introduce a new factorization algorithm based on the optical computation by multi-path interference of the periodicity of a "factoring" function given by exponential sums at continuous arguments. We demonstrate that this algorithm allows, in principle, the prime number decomposition of several large numbers by exploiting a remarking rescaling property of this periodic function. Such a function is recorded by measuring optical interferograms with a multi-path Michelson interferometer, a polychromatic light source and a spectrometer. The information about factors is encoded in the location of the inteferogram maxima
Factoring numbers with a single interferogram
We construct an analog computer based on light interference to encode the hyperbolic function f(ζ)≡1/ζ into a sequence of skewed curlicue functions. The resulting interferogram when scaled appropriately allows us to find the prime number decompositions of integers. We implement this idea exploiting polychromatic optical interference in a multipath interferometer and factor seven-digit numbers. We give an estimate for the largest number that can be factored by this scheme
Exploring the impact of megaproject environmental responsibility on organizational citizenship behaviors for the environment: A social identity perspective
The importance of organizational citizenship behaviors for the environment (OCBEs) has been clearly established in the environmental literature. However, the OCBEs construct has rarely been examined in the specific and increasingly important realm of megaproject environmental responsibility (MER). To fill this gap, this paper presents an individual-level analysis that explores the impact of project participants' perceptions of MER practices on their environmental commitment and OCBEs. The results show that project participants' perceptions of MER practices directed toward internal stakeholders (i.e., stakeholders linked by project contracts) are positively related to their OCBEs. This relationship is partially mediated by the environmental commitment of project participants. Conversely, project participants' perceptions of MER practices directed toward external stakeholders (i.e., the local community and general public) have only an insignificant impact on their OCBEs. These findings provide new insights for managing MER practices to stimulate the emergence of OCBEs and thereby improve environmental performance. (C) 2017 Elsevier Ltd. APM and IPMA. All rights reserved
3D printing of green and environment-friendly rGO@ZnO/GP for removal of methylene blue from wastewater
In this work, we report the fabrication of geopolymer materials containing different amounts of reduced graphene oxide loaded on zinc oxide (rGO@ZnO/GP) to be used as efficient photocatalysts for the degradation of methylene blue (MB). The synergistic effects of adsorption and photodegradation resulted in a 92.56% removal efficiency of MB within 30 min by a geopolymer containing 56%rGO@ZnO (56%rGO@ZnO/GP). The results showed that the geopolymer matrix provided a reusable carrier for rGO@ZnO, and the presence of rGO could promote the migration of photogenerated electrons and hinder the recombination of charges, thereby enhancing the photocatalytic activity. The best performing material (56%rGO@ZnO/GP) was also used to 3D print a scaffold using Direct Ink Writing technology. The 3D printed 56%rGO@ZnO/GP was also an efficient photocatalyst for the degradation of MB, and the use of a structured catalyst facilitates the recovery of the active material. This work can provide a way for preparing efficient and environmentally friendly photocatalysts
Differential expression of <i>CEBPB</i>, <i>FBXO32</i>, <i>FOXO3</i> and <i>MYOD1</i> in contrasts of WRR<sub>h</sub> Vs. XH<sub>h</sub> and WRR<sub>l</sub> Vs. XH<sub>l.</sub>
<p>Differential expression of <i>CEBPB</i>, <i>FBXO32</i>, <i>FOXO3</i> and <i>MYOD1</i> in contrasts of WRR<sub>h</sub> Vs. XH<sub>h</sub> and WRR<sub>l</sub> Vs. XH<sub>l.</sub></p
Recent bottomonium studies at Belle
We report the recent studies of bottomonium spectroscopy and transitions using the data sample collected with the Belle detector. Unambiguous pi(+)pi(-)pi(0)chi(b1) (J = 1, 2), omega chi(b1) signals are observed near the Gamma(5S) resonance mass region. In the invariant mass distribution, some ( pi(+)pi(-) pi(0))(non-omega) events are observed besides clear omega signal events. A X(3872)-like state in bottom sector is searched for in the final state omega Gamma(1S). The Belle collaboration also searches for the eta transitions with the Gamma(4S) and Gamma(5S) data samples. The Gamma(4S)->eta h(b)(1P) process is observed and evidences of eta transitions from Gamma(5S) to lower bottomonium are found. The eta(b) (1S) resonance parameters are updated based on the decay mode h(b)(1P)->gamma eta(b) (1S) in the same work.Physics, MultidisciplinaryPhysics, Particles & FieldsEICPCI-S(ISTP)
Gene networks involved the <i>FBXO32</i> and <i>MYOD1</i> in WRR<sub>h</sub> Vs. XH<sub>h</sub> and WRR<sub>l</sub> Vs. XH<sub>l</sub>.
<p>A: in WRR<sub>h</sub> Vs. XH<sub>h</sub>. B: in WRR<sub>l</sub> Vs. XH<sub>l</sub>. Genes exhibiting up-regulated were shown in red, while gene exhibiting down-regulated were shown in green color. The color intensity indicated the degree of up-/down-regulated. Solid lines and dashed lines indicated direct interaction and indirect interaction, respectively.</p
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