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In this paper, the q -Gaussian process based on the non-extensive theory is discussed from a mathematical point of view, which has been widely applied to many anomalous diffusion systems in physics and finance. Firstly, the discussion of non-Markovian property of q -Gaussian process provides a numerical support for the future theoretical research. Secondly, the martingale and self-similarity of this process are obtained by Tsallis distributions. Thirdly, the long dependence is analyzed by simulations and Hurst exponents are compared with those of fractional Brownian motion. At last, the European call option price formula driven by this process is simulated, by which we find that this process can better match anomalous diffusion and the volatility smile. [ABSTRACT FROM AUTHOR]

Graphical abstract A 3D anionic MOF (Zn-1) containing large 3D intersecting channels modified with functional groups has been synthesized and the selective adsorption of organic dyes has been systematically investigated. Abstract A 3D porous anionic MOF, {[(CH 3) 2 NH 2 ][Zn 6 (μ 3 -OH)(μ 4 -O)(NSBPDC) 5 (H 2 O) 2 ]·DMF·12H 2 O} n (Zn-1) (H 2 NSBPDC = 6-nitro-2,2′-sulfone-4,4′-dicarboxylic acid), has been synthesized and characterized. Zn-1 exhibits a rare 5-connected 'sqp' net and contains large 3D intersecting channels modified with functional groups. Notably, Zn-1 can adsorb cationic dyes selectively and effectively, even for large molecules including Rhodamine B and Crystal Violet. The influences of the constant time and initial concentration of MB on the adsorption capacity of Zn-1 have been studied in detail. Furthermore, the kinetic research indicates that the adsorption of MB matches well with the pseudo second-order model. In addition, the material of Zn-1 is reusable, and the adsorbed dye (MB) can be released in saturated DMF/ethanol solution of LiNO 3. [ABSTRACT FROM AUTHOR]

Abstract Two novel lanthanide metal-organic frameworks, namely {[Ln 2 (NSBPDC) 3 (H 2 O) 4 ]·x(H 2 O)} n (Ln = Eu 1 , Tb 2), have been facilely synthesized with 6-nitro-2,2'-sulfone-4,4'-dicarboxylic acid (H 2 NSBPDC). Structural analyses revealed that the two complexes are both three-dimensional (3D) non-interpenetrating networks based on infinite rod-shaped LnIII carboxylate SBUs and exhibit 1D channels decorated with functional groups. Fluorescence measurements show that complex 1 can serve as a fast and recyclable fluorescence sensor for nitroaromatics detection via a turn-off response with low detection limits. The fluorescence quenching of 1 for nitroaromatics is presumably due to the following two reasons: the photo-induced electronic transfer mechanism and the competitive adsorption mechanism. Graphical abstract Two novel Ln-MOFs (1 and 2) containing microporous channels decorated with functional groups have been synthesized. Complex 1 can serve as a fast and sensitive fluorescence sensor for detecting trace amount of nitroaromatics(NACs) fx1 Highlights • Two new Ln-MOFs (1 and 2) based on rod-shaped Ln carboxylate SBUs were synthesized. • 1 and 2 are 3D networks containing 1D channels decorated with functional groups. • 1 can serve as a fluorescence sensor for rapid detection of nitroaromatics. [ABSTRACT FROM AUTHOR]

Four new Co coordination polymers (CPs), formulated as [Co(L)(phen)] (1, 1D), [Co3(L)3(phen)2·4H2O] (2, 2D), [Co3(L)3(2,2′-bipy)2·8H2O] (3, 2D) and [Co2(L)3(4,4′-bipy)2·] (4, 3D) (H2L = 6-methoxy-2,2′-sulfone-4,4′-dicarboxylic acid, phen = 1,10-phenanthroline, 2,2′-bipy = 2,2′-bipyridine, 4,4′-bipy = 4,4′-bipyridine), have been solvothermally synthesized based on a functional dicarboxylate bridging ligand in the presence of various N-coligands. Complex 1 features a 3D supramolecular architecture composed of parallel linear chains assembled via π–π interactions. Complexes 2 and 3 have similar structures, which are both (4,4)-connected 2D networks possessing 1D channels based on linear trinuclear [Zn3(CO2)6N4] clusters. Complex 4 contains (4,4)-connected 2D layers based on binuclear clusters, which are further linked into a 3D pillar-layered framework by 4,4′-bipy. Luminescence studies indicate that 2 and 3 both show strong fluorescence and good stability in water, and they can be used as multi-responsive sensors for selective sensing of nitroaromatics, Fe3+ and Cr2O72− in water via luminescence quenching with fast response. Remarkably, 2 and 3 can be conveniently regenerated for at least four times without sacrificing their quenching efficiencies. The possible mechanisms for the luminescence quenching have been investigated in detail. [ABSTRACT FROM AUTHOR]

A new solving method called local accurate search was proposed for the calculation of allowable attack area of air-to-surface missiles. Compared with traditional method, the local accurate search can search the area online and reduce the time of search with the required precision. The new method employs the local search to find an accurate result by combining the traditional flight range table with the model calculation method, which meets the requirements for attacking of moving target and fast calculation. [ABSTRACT FROM AUTHOR]

Graphical abstract Two rhombus-shaped Dy 4 clusters with similar structures have been obtained. Magnetic analysis revealed different single-molecule magnet (SMM) behaviors occurs in 1 and 2 , which originated from the two slightly different β-diketonate (Htmhd and Hacac). Abstract In search of simple approaches to rationally modulate the single-molecule magnet behaviors in polynuclear lanthanide clusters, a new system containing two structurally closely related rhombus-shaped Dy 4 clusters, Dy 4 (tmhd) 4 L 6 (μ 3 -OH)2 ·5CH 3 CN (1) and Dy 4 (acac) 4 L 6 (μ 3 -OH) 2 (2) (HL = 5-(4-ethyoxylbenzylidene)-8-hydroxylquinoline, Htmhd = 2,2,6,6-tetramethyl-3,5-heptanedione and Hacac = acetylacetonate), have been obtained by employing two dysprosium β-diketonate salts to react with a bidentate Schiff base ligand (HL). The two Dy 4 clusters have similar structures and possess a structure in which four Dy3+ ions remain in a perfect plane with a rhombus-shaped geometric construction. Dynamic magnetic analysis revealed different single-molecule magnet (SMM) behaviors occurs in 1 and 2. Under zero direct-current (dc) field, 1 displays typical SMMs behavior with Δ E / k B = 39.6 K and τ 0 = 2.1 × 10−6 s. However, for 2 , a peculiar feature of the χ ″ versus temperature curves is that more than two peaks that are frequency-dependent are revealed, indicating the occurrence of multifold relaxation processes that lead to two Δ E / k B (31.3 K and 81.6 K) and pre-exponential factors (τ 0 = 3.1 × 10−6 s, τ 0 = 2.2 × 10−7 s). [ABSTRACT FROM AUTHOR]

Graphical abstract Two new Dy 2 compounds based a polydentate Schiff base ligand have been synthesized by using two different solvent systems. Magnetic property measurements indicate that they exhibit distinct slow magnetic relaxation behaviors (Δ E /k B = 0.87 K for 1 and Δ E /k B = 18.68 K for 2). This work revealed that the different solvent induced slight disparate structural and magnetic behaviors of two Dy 2 compounds, which may provide an effective approach for tuning slow magnetization relaxation behaviors in polynuclear Ln-clusters. Abstract Two new Dy 2 compounds, namely, [Dy 2 (dbm) 4 (H 2 L)(CH 3 O)(CH 3 OH)] (1) and [Dy 2 (dbm) 5 (H 2 L)] (2) (dbm = dibenzoylmethane, H 3 L = (2E,N′E)-2-(hydroxyimino)-N′-(pyridin-2-ylmethylene)propanehydrazide, based a polydentate Schiff base ligand have been synthesized, structurally and magnetically characterized. The single-crystal X-ray diffraction research show that both compounds 1 and 2 are binuclear structures. The only difference is that two methanol molecules coordinated to Dy(III) ion in 1 instead of a dbm− coordinated to Dy(III) ion in 2. Magnetic property measurements indicate that they exhibit distinct slow magnetic relaxation behaviors (Δ E /k B = 0.87 K for 1 and Δ E /k B = 18.68 K for 2). This work revealed that the different solvent induced slight disparate structural and magnetic behaviors of two Dy 2 compounds, which may provide an effective approach for tuning slow magnetization relaxation behaviors in polynuclear Ln-clusters. [ABSTRACT FROM AUTHOR]

Two new tetranuclear Ln-based clusters, namely [Ln 4 ( μ 3 -OH) 2 L 6 (beac) 4 ] (Ln = Gd ( 1 ) and Dy ( 2 )), were successfully assembled by employing 5-(2-thenylidene)-8-hydroxylquinoline (HL) and 1-benzoylacetone (Hbeac). They were structurally characterized by single crystal X-ray diffraction. In 1 ·Gd and 2 ·Dy, the structures of them are very similar with planar [Ln 4 O 2 ] cluster at the center, four Ln(III) ions in which are further coordinated by six L − and four beac − anions in the modes of μ 2 -η 2 η 1 for L − and μ 2 -η 2 η 1 for beac − , respectively. Additionally, the magnetic measurement of them reveal that 1 ·Gd displays magnetic entropy change (−Δ S m ) of 21.55(3) J K −1  kg −1 at 2 K for Δ H  = 7 T. For 2 ·Dy, it exhibits slow magnetic relaxation behavior with the energy barrier (Δ E / k B ) of 27.96(7) K. [ABSTRACT FROM AUTHOR]

Repeated and continuous dry heat treatment (RDHT and CDHT, respectively) are new methods for starch modification. RDHT and CDHT were applied to quinoa starch, and their effects on its physicochemical, structural properties and in vitro digestibility of quinoa starch were determined. The results showed that the crystal type of quinoa starch was not change and remained A-type after dry heat treatments. After dry heat treatments, the relative crystallinity, water-solubility, and the pasting parameters of quinoa starch increased, while the swelling power decreased. Relative crystallinity, water absorption index, and percentage of rapidly digestible starch were significantly higher in RDHT starch samples than CDHT starch samples for the same duration. The variation in the infrared absorbance ratio of 1032 cm−1 and 1013 cm−1 was higher for RDHT starch samples than for CDHT starch samples, consistent with their relative crystallinity. Compared with CDHT starch samples, RDHT starch samples showed lower water solubility, swelling power, paste viscosity and thermal parameter values (To, Tp, Tc, ΔT). On the whole, RDHT showed better performance for altering the physicochemical and structural properties of quinoa starch compared with CDHT. DHT can increase the solubility of quinoa starch, and DHT starch with higher peak viscosity can be used as thickener in food. • RDHT and CDHT were applied to quinoa starch modification. • DHT couldn't change the original A-type crystallinity of quinoa starch. • DHT enhanced the physicochemical and digestive properties of quinoa starch. • DHT starch with higher peak viscosity can be used as thickener in food. • To alter the properties of quinoa starch, CDHT showed better performance than RDHT. [ABSTRACT FROM AUTHOR]

Zygentoma occupies a key evolutionary position for understanding the evolution of insect metamorphosis but has received little attention in terms of genetic analysis. To develop functional genomic studies in this insect, we evaluated five candidate internal reference genes for quantitative RT-PCR (qPCR) studies from Thermobia domestica, a representative species of Zygentoma, including Actin 5C (Actin5C), Elongation factor-1 alpha (EF1A), Ribosome protein S26 (RPS26), Ribosome protein L32 (RPL32), and Superoxide dismutase 2 (SOD2), at different developmental stages, in various body parts, and under dsRNA microinjection and starvation stresses, using four algorithms (delta Ct, geNorm, NormFinder and BestKeeper) and a comparative algorithm (RefFinder). Specific suitable reference genes were recommended across specific experimental conditions, and the combination of RPS26 and RPL32 was appropriate for all tested samples. Employing our selected reference gene combination, we investigated the gene expression pattern of Myoglianin (Myo), a crucial gene-regulating insect metamorphosis, in ametabolous T. domestica, and demonstrated the efficiency of RNA interference (RNAi) in firebrat nymphs. This study provides a basis for reliable quantitative studies of genes and greatly benefits evolutionary and functional genomics studies in Zygentoma. [ABSTRACT FROM AUTHOR]