Two new genera and six new species of trilobites are systematically documented herein: Sinagnostus mirabilis new genus new species, Yanpingia punctata n. gen. n. sp., Illaenus taoyuanensis n. sp., Panderia striolatus n. sp., Nileus yichongqiaoensis n. sp., and Paratiresias peculiaris n. sp. The materials were collected from the Darriwilian (late Middle Ordovician) strata in the Upper Yangtze Region, South China. Also provided is an emended diagnosis of the genus Paratiresias based on the new species Paratiresias peculiaris, which is the oldest known species of this genus with an extremely narrow (sag. and exsag.) preglabellar field. Those Chinese species previously referred to Nanillaenus are reassigned to Illaenus sensu lato. These trilobites add new data for the Darriwilian trilobite macroevolution and show highly endemic to South China and the faunal exchanges between South China and Tarim, Kazakhstan, Alborz, as well as Sibumasu and North China.

UUID: http://zoobank.org/ec3be9be-b003-4367-910d-7a0ac4edc982

In this paper, a triple-wideband bandpass filter (BPF) with controllable bandwidths based on two multi-mode stub-loaded resonators (MMSLRs) and a triple-mode resonator is presented. The MMSLR is loaded with two identical folded open-ended stubs and a T-shaped stub. Each passband of the tri-band BPF is formed by four resonant modes, which provide sufficient bandwidths to meet various application requirement. By adjusting the lengths of open-ended stubs, three passband bandwidths can be controlled individually. The center frequencies of the triple-wideband BPF are allocated at 2.7, 3.67, and 5.44 GHz, with the 3 dB fractional bandwidths (FBWs) of 20.1, 14.7, and 26.3%. Among the three passbands, the highest one covers the 5 G WiFi band (5.15–5.85 GHz). The measured results of the proposed filter exhibit excellent agreement with simulated results.

In error estimates of various numerical approaches for solving decoupled forward backward stochastic differential equations (FBSDEs), the rate of convergence for one variable is usually less than for the other. Under slightly strengthened smoothness assumptions, we show that the fully discrete Euler scheme admits a first-order rate of convergence for both variables.

Zhou and Feng [‘On symmetric graphs of valency five’, Discrete Math. 310 (2010), 1725–1732] proved that all connected pentavalent 1-transitive Cayley graphs of finite nonabelian simple groups are normal. We construct an example of a nonnormal 2-arc transitive pentavalent symmetric Cayley graph on the alternating group $\text{A}_{39}$. Furthermore, we show that the full automorphism group of this graph is isomorphic to the alternating group $\text{A}_{40}$.

In this paper, a novel method is proposed to determine surface residual stress components and their directions based on the spherical indentation. To obtain the direction and the components of a uniaxial or biaxial residual stress, the relationship between the pile-up deformation around an indentation after unloading and the residual stress was firstly systematically studied and established by using numerical simulation. Through theoretical analysis and numerical simulation, we found that the position of the maximum residual stress is dependent on the maximum pile-up around an indentation after unloading. The direction and components of residual stress can be correctly determined by the unique relationship between pile-up after unloading and biaxial residual stress. This conclusion has been verified by the experiment results in the residual stress measurements of a welded specimen with spherical indentation and x-ray diffraction methods. Meanwhile, the influences of friction between the object surface and the indenter, the material hardening exponent of the specimen, and the elastic deformation upon the residual stress are discussed.

A complete classification is given of pentavalent symmetric graphs of order $30p$, where $p\ge 5$ is a prime. It is proved that such a graph ${\Gamma }$ exists if and only if $p=13$ and, up to isomorphism, there is only one such graph. Furthermore, ${\Gamma }$ is isomorphic to $\mathcal{C}_{390}$, a coset graph of PSL(2, 25) with ${\sf Aut}\, {\Gamma }=\mbox{PSL(2, 25)}$, and ${\Gamma }$ is 2-regular. The classification involves a new 2-regular pentavalent graph construction with square-free order.

In 2008 January the 24th Chinese expedition team successfully deployed the Chinese Small Telescope ARray (CSTAR) to Dome A, the highest point on the Antarctic plateau. CSTAR consists of four 14.5cm optical telescopes, each with a different filter (g, r, i and open) and has a 4.5°×4.5° field of view (FOV). Based on the CSTAR data, initial statistics of astronomical observational site quality and light curves of variable objects were obtained. To reach higher photometric quality, we are continuing to work to overcome the effects of uneven cirrus cloud cirrus, optical “ghosts” and intra-pixel sensitivity. The snow surface stability is also tested for further astronomical observational instrument and for glaciology studies.

X-ray powder diffraction was used to analyze and evaluate 11 samples of traditional Chinese medicine, Costustoot, found at various locations in China. A reference fingerprint pattern with 48 characteristic peaks for Costustoot was obtained from X-ray diffraction patterns of six Costustoots from the rhizomes of Aucklandia lappa Decne. The reference fingerprint pattern with 48 characteristic peaks for Costustoot was then used to evaluate the remaining five Costustoot materials. X-ray diffraction results show that the X-ray diffraction Fourier fingerprint pattern method can be used for rapid classification, identification, and quality control of Costustoots.

Mature porcine oocytes containing first polar bodies (Pb I) were obtained by in vitro culture of follicle oocytes from ovaries obtained from a local abattoir, and zygotes with second polar bodies (Pb II) were grown after in vitro fertilization of the mature oocytes. Extrusion, biological activity and morphology of Pb I and Pb II were statistically analysed. Polar bodies were isolated and collected from oocytes by enzyme digestion or micromanipulation. Their vigour under different preservation conditions was analysed and evaluated using a Trypan blue staining method. The results showed that 66.7% of the oocytes extruded Pb I after 40 h of in vitro mature culture of oocytes, and 49.7% of the zygotes extruded Pb II 20 h after in vitro fertilization. The efficiency of isolation of Pb II by micromanipulation significantly exceeded that by enzyme digestion, the Pb I and Pb II isolated by micromanipulation presenting with good vigour and normal morphology (95.3% versus 58.9%). The survival rates of Pb I and Pb II were 63.3% and 93.1% for 4 h at 39°C, 85.0% and 72.9% for 40 h at 4°C, and over 95.0% and 84.6% for less than 7 days at −20°C. In comparison with the above preservation conditions for Pb I and Pb II, the results for cryopreservation were best, with rates of survival as high as 89.1% for Pb I and 87.9% for Pb II for preservation periods of over a month, and rates of normal morphology of 97.8% and 95.7%, respectively. The Pb I and Pb II could be isolated and preserved effectively, for use in further research on the recombination of oocytes and zygotes.

Si quantum dot (Si-QD) based multi-color metal oxide semiconductor lighting emission diodes (MOSLEDs) made on Si-rich SiOx grown by detuning RF plasma power in a plasma enhanced chemical vapor deposition (PECVD) system are demonstrated. With the RF plasma powers increasing from 50 to 70 W at 10 W increment, the turn-on voltage and maximum electroluminescence (EL) power red-, green- and blue-color MOSLEDs increase from 70, 90 and 99 V and 7, 26 and 55 nW, respectively. The power-current slope of 0.51, 3.24 and 53.82 mW/A are obtained for these MOSLEDs with corresponding power conversion ratio (PCR) of 5.13×10-6, 2.52×10-5 and 2.47×10-4. Both the turn-on voltage and power slope linearly increase with enhancing thickness of the Si-QD based MOSLED.

The developmental functions of oocytes of three strains of mice (Kunming, ICR and C57BL/6-Tg(CAG-EGFP)C14-Y01-FM131Osb) recombined with the nuclei of first polar bodies (Pbs I) were explored. Cumulus oocyte complexes (COCs) from the mice were collected after superovulation, then Pbs I were obtained from the COCs by 2% pronase treatment. The survival of Pbs I under different temperatures was identified by morphology and trypan blue staining. Later, the polar body I (Pb 1) nucleus and a little cytoplasm was injected into each oocyte, the nuclei of which had been enucleated by micromanipulation. Oocytes recombined with Pbs I were fertilized, then cultured in vitro in order to observe their further development. The results showed that the vigour of Pbs I was maintained for 12–14 h after superovulation, and was still maintained after 48 h at 4 °C. A total of 13 out of 117 recombined oocytes from Kunming and ICR mice, as well as 3 out of 38 recombined oocytes from C57BL/6-Tg(CAG-EGFP)C14-Y01-FM131Osb mice, developed into two-cell embryos. The experiments confirmed that mouse oocytes recombined with the nuclei of Pbs I could maintain fertilization and development. These results present valuable references for further utilization of genetic resources for farm animals

Photoluminescence (PL) intensity and wavelength control of Si-rich SiOx film and Si-rich SiOx based MOSLED achieved by detuning plasma power (RF power) during plasma-enhanced chemical vapor deposition (PECVD) growth is investigated. The peak of PL spectrum blue-shifts from 780 to 400 nm by modifying the RF power form 20 to 70 W during PECVD growth. The average sizes of Si nanocluster under RF power of 60 and 70W are 2.61 and 1.83 nm, respectively. The EL color of Si nanocrystal (nc-Si) based MOSLEDs can be tunable among orange-red, green and blue colors by growing the SiOx films with PECVD under different RF power. Under RF power from 50 to 70W, the turn-on voltage of nc-Si based MOSLEDs increases from 26 to 60 V, the optical power also increases from 1.6 W/cm2 to 9.7 W/cm2 and the power-current slope are 0.51, 3.24 and 62.92 mW/A, respectively.

In this paper, we derive the MacLaurin series of the mean waiting time in light traffic for a GI/G/1 queue. The light traffic is defined by random thinning of the arrival process. The MacLaurin series is derived with respect to the admission probability, and we prove that it has a positive radius of convergence. In the numerical examples, we use the MacLaurin series to approximate the mean waiting time beyond light traffic by means of Padé approximation.

In this paper, we consider period review (s, S) inventory systems with independent and identically distributed continuous demands and full backlogging. Using an approach recently proposed by Gong and Hu (1992), we derive an infinite system of linear equations for all moments of inventory level. Based on this infinite system, we develop two algorithms to calculate the moments of the inventory level. In the first one, we solve a finite system of linear equations whose solution converges to the moments as its dimension goes to infinity. In the second one, we in fact obtain the power series of the moments with respect to s and S. Both algorithms are based on some very simple recursive procedures. To show their efficiency and speed, we provide some numerical examples for the first algorithm.

(s, S) INVENTORY SYSTEMS; DYNAMIC RECURSIVE EQUATIONS; INFINITE LINEAR EQUATIONS; MACLAURIN SERIES

We study the buffer allocation problem in a two-stage cyclic queueing system. First, we show that transposing the number of buffers assigned to each queue does not affect the throughput. Second, we prove that the optimal buffer allocation scheme, in the sense of maximizing the system's throughput, is the one for which the absolute difference between the number of buffers, assigned to each queue, is minimized, i.e., it becomes either 0 or 1. This optimal allocation is insensitive to the general-type service-time distributions. These two distributions may be different and service times may even be correlated.