Narrow Results

We examine the possibility of determining the neutrino mass hierarchy in the limit θ₁₃=0 using atmospheric neutrinos as the source. In this limit, in which θ₁₃ driven matter effects are absent, independent measurements of Δ₃₁ and Δ₃₂ can, in principle, lead to hierarchy determination. Since the difference between these two is Δ₂₁, one needs an experimental arrangement where Δ₂₁ L/E ≳1 can be achieved. This condition can be satisfied by atmospheric neutrinos since they have a large range of energies and baselines. In spite of this, we find that hierarchy determination in the θ₁₃=0 limit with atmospheric neutrinos is not a realistic possibility, even in conjunction with an apparently synergistic beam experiment like T2K or NOνA. We discuss the reasons for this, and also in the process clarify the conditions that must be satisfied in general for hierarchy determination if θ₁₃=0.

In recent years, the safety of traditional Chinese medicine has gradually attracted consumers’ attention. Therefore, the qualitative and quantitative detection of traditional Chinese medicine has become a hot research topic in recent years. In this paper, we chose prepared Rehmannia root as the research object. By using the fluorescence polarization spectrum and the least-square method, a method for predicting the concentration of traditional Chinese medicine solutions was established. First, we scanned the fluorescence polarization spectra of the prepared Rehmannia root solution to obtain the inner anisotropy and anisotropy of each sample. Then, the least-square method was used to obtain the functional relationship between concentration and anisotropy. Finally, the functional relation was applied to predict the concentration of the prepared Rehmannia root solution. The correlation coefficients of the predicted concentration were 0.9944 and 0.9928, with an average recovery rate of 100.94% and 99.58%, respectively. The results show that fluorescence polarization spectroscopy combined with the least-squares method can quickly and accurately detect the concentration of Rehmannia glutinosa root solution. This provides a new method for the content detection of traditional Chinese medicine components.

We survey the problem of constructing the groups of a given finite order. We provide an extensive bibliography and outline practical algorithmic solutions to the problem. Motivated by the millennium, we used these methods to construct the groups of order at most 2000; we report on this calculation and describe the resulting group library.

The semirings admitting maximal factorizations of any finite dimension are called MF-semirings. We first show that a commutative semiring K is an MF-semiring if and only if K admits a maximal factorization of dimension n ≥ 2, and if and only if K is a multiplicatively cancellative semiring satisfying the g.c.d. condition. And then, by using above result, we prove that a weighted finite automaton over a commutative idempotent MF-semiring has a determination if has the victory property and twins property. Also, some special cases are considered.

In multiple criteria evaluation, criteria weights are of great importance. In practice, subjective criteria weights determined by specialists/experts are commonly used. The types of elements of a decision matrix also play an important role in the evaluation of alternatives. The objective weights help to estimate the structure of data. The entropy method is widely used for determining the weights (significances) of criteria. A new method of the criterion impact loss, CILOS, is used for determining a relative impact loss experienced by the criterion of an alternative, when another criterion is chosen to be the best. The authors of the paper have combined the best features of the entropy method and the CILOS approach to obtain a new method – Integrated Determination of Objective CRIteria Weights, or (IDOCRIW).

A sensitive and selective colorimetric biosensor for determination of gentamicin, amikacin and tobramycin was proposed with the unmodified gold nanoparticles (GNPs) as the sensing element. Gentamicin, amikacin and tobramycin can rapidly induce the aggregation of gold nanoparticles and is accompanied by a color change from red to blue. The concentration of gentamicin, amikacin and tobramycin can be determined by using UV-Vis spectrometer. The experimental parameters were optimized with regard to pH, incubation time and the concentration of the GNPs. Under optimal experimental conditions, the linear range of the colorimetric sensor for gentamicin/amikacin/tobramycin were 2.67–33.93 ng mL^-1, 13.33–66.67 ng mL^-1 and 20–180 ng mL^-1, respectively. The corresponding limit of detection (3σ) was 0.354 ng mL^-1, 0.999 ng mL^-1 and 0.579 ng mL^-1, respectively. This assay was simple and used to detect aminoglycoside antibiotics in milk and medicine products.

We propose and analyze mathematical models to study the dynamics of smoking behavior under the influence of educational programs and also individual's determination to quit smoking. We establish the positivity and boundedness of the solutions in a biologically feasible region. A threshold value responsible for persistence of smoking is obtained and stability analysis on models is performed. We find that determination alone is not enough to eradicate smoking but it can reduce the prevalence of smoker population. Whereas the increase in education can possibly eradicate it. We performed numerical simulation for representative set of parameters to verify and discuss results obtained analytically.

A composite of chromium (III) terephthalate metal-organic framework and graphene oxide (MIL-101/GO) coated stir bar was prepared by sol–gel technique for the first time and was employed for stir bar sorptive extraction (SBSE) of trace azo dyes amaranth, sunset yellow and carmine from water samples followed by UV–Vis spectrophotometric detection. A MIL-101/GO coating was first created on the glass bar surface. MIL-101/GO and MIL-101/GO coated stir bars were characterized. The enrichment factors of azo dyes by SBSE have been investigated in detail, and the optimized experimental parameters were obtained. Under the optimal conditions, a method for determination of trace amount of azo dyes was setup, and the detection limits of amaranth, sunset yellow and carmine were 2.3 ng/mL, 1.7 ng/mL and 1.6 ng/mL. The proposed method was successfully applied for the analysis of the three azo dyes in water samples.