Stochastic differential equations with fractal noise

Stochastic differential equations in ?ⁿ with random coefficients are considered where one continuous driving process admits a generalized quadratic variation process. The latter and the other driving processes are assumed to possess sample paths in the fractional Sobolev space W^β₂ for some β > 1/2. The stochastic integrals are determined as anticipating forward integrals. A pathwise solution procedure is developed which combines the stochastic Itô calculus with fractional calculus via norm estimates of associated integral operators in W^α ₂ for 0 < α < 1. Linear equations are considered as a special case. This approach leads to fast computer algorithms basing on Picard's iteration method. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

LED正向压降随温度的变化关系研究

分析了LED正向压降随温度变化的物理机理,建立了恒流驱动下正向压降随温度的变化系数测试系统对不同材料、不同发射波长的LED电压随温度变化系数进行了系统的实验研究,利用最小二乘法对实验数据进行了线性拟合,得到了不同发射波长的AlGaInP、InGaN材料LED的电压随温度变化系数,对超高亮度LED、功率型LED器件及系统的热工参数测量积累了的重要数据.     

Simultaneous forward and reverse ABO blood group typing using a paper-based device and barcode-like interpretation

A new platform of a paper-based analytical device (PAD) for simultaneous forward and reverse ABO blood group typing has been reported. This platform can overcome the discrepancy results as influenced by the individual haematocrit. The test and the control of non-haemagglutination on each channel were performed in parallel. The PAD was fabricated by printing six parallel channels with wax onto Whatman No. 4 filter paper. An LF1 blood separation membrane was used for the separation of plasma from whole blood for reverse grouping. The blood group was identified by haemagglutination of the corresponding antigen–antibody. For forward grouping, Anti-A, -B and –A,B were treated on the test line of PAD, and inactivated Anti-A, -B and –A,B were immobilized on the control line. For reverse grouping, 30% standard A-cells, B- and O- were added to the test channel after plasma separation, and O-cells were used as a control. Then, 0.9% normal saline (NSS) containing 1% Tween-20 was bi-functionally used for dilution of the blood sample and elution of the non-agglutinated RBCs within the channels. The distance of agglutinated RBCs in each test line was compared with the distance of non-agglutinated RBCs in the parallel control line. The forward and reverse patterns of blood groups A, B, AB and O were a barcode-like chart in which the results can be visually analysed. The PAD has excellent reproducibility when 10 replications of the A, B, AB or O blood groups were performed. The results of both forward and reverse grouping were highly correlated with conventional methods compared with the slide method and tube method, respectively (n = 76). Thus, this ABO typing PAD holds great potential for future applications in blood typing point-of-care testing.     

Channel regulation of TFC membrane with hydrophobic carbon dots in forward osmosis

Zero-dimensional carbon dots have emerged as important nanofillers for the separation membrane due to their small specific size and rich surface functional groups. This study proposed a strategy based on hydrophobic carbon dots (HCDs) to regulate water channels for an efficient forward osmosis (FO) membrane. Thin-film composite (TFC) membranes with superior FO performance are fabricated by introducing HCDs as the nanofiller in the polyacrylonitrile support layer. The introduction of HCDs promotes the formation of the support layer with coherent finger-like hierarchical channels and micro-convex structure and an integrated polyamide active layer. Compared to the original membrane, TFC-FO membrane with 10 wt% HCDs exhibits high water flux (15.47 L m⁻² h⁻¹) and low reverse salt flux (2.9 g m⁻² h⁻¹) using 1 mol/L NaCl as the draw solution. This improved FO performance is attributed to the lower structural parameters of HCDs-induced water channels and alleviated internal concentration polarization. Thus, this paper provides a feasible strategy to design the membrane structure and boost FO performance.     

Insensitizing controls for a forward stochastic heat equation

The existence of insensitizing controls for a forward stochastic heat equation is considered. To develop the duality, we obtain observability estimates for linear forward and backward coupled stochastic heat equations with general coefficients, by means of some global Carleman estimates. Furthermore, the constant in the observability inequality is estimated by an explicit function of the norm of the involved coefficients in the equation. As far as we know, our paper is the first one to address the problem of insensitizing controls for stochastic partial differential equations.     

Hidden Markov partition models

We describe an extension of the hidden Markov model in which the manifest process conditionally follows a partition model. The assumption of local independence for the manifest random variable is thus relaxed to arbitrary dependence. The proposed class generalizes different existing models for discrete and continuous time series, and allows for the finest trading off between bias and variance. The models are fit through an EM algorithm, with the usual recursions for hidden Markov models extended at no additional computational cost.     

A generic mathematical model of single point cutting tools in terms of grinding parameters

The paper presents the analytical geometric details of the mathematical modeling of a single point cutting tool with a generic profile. The grinding angles and the ground depths on the tool are allowed to vary along the tool flanks and face, altering the cutting angles from point to point. The surface modeling begins with the creation of a tool blank model. Then unbounded surfaces are considered and transformed to get the cutting tool surfaces. The intersection of these surfaces gives the complete model of the tool. Starting from the basic model where the tool face and flank are planar, the generalization of the geometric design has been done in two steps to give free-form shapes to the tool surfaces, termed as the two generations of the generic profile. Then a forward and inverse mapping has been presented for the basic model and the two generations of the generic tool to relate the grinding angles with the prevalent nomenclatures (ASA, ORS and NRS). The model has been validated and the variation of tool angles with the grinding parameters has been illustrated with an example.     

Leading-twist shadowing,black disk regime and forward hadron production

We review theory of the leading-twist nuclear shadowing, and describe phenomenon of post-selection suppression of leading parton spectrum (effective fractional energy losses) in the proximity of the black disk regime. We argue that 2→2$2\to 2$ mechanism dominates in the inclusive leading pion production in d-Au collisions and explain that the post-selection naturally explains both the magnitude of the suppression of the forward pion production in d-Au   collisions and the pattern of the forward–central correlations. At the same time this pattern of correlations rules out 2→1$2\to 1$ mechanism as the main source of the inclusive leading pion yield. It is demonstrated that the mechanism of the double-parton interactions gives an important contribution to the production of two leading pions in pp   scattering opening a new way to study correlations of leading quarks in the nucleon. The same mechanism is enhanced in dAu→π⁰π⁰+X$dAu\to {\pi }^0{\pi }^0+X$ collisions and explains the dominance of Δφ independent component and suppression of the away side peak.     

以荷电化碳纳米管构筑正渗透膜用于海水淡化的分子动力学模拟

受传统膜科学中分离膜的荷电化可提升膜盐水分离效能的启发,在前期工作基础上尝试以荷电化碳纳米管CNT(8,8)为水通道仿生构筑正渗透膜,利用分子动力学模拟的方法研究水分子在膜中的传递行为.模拟中,以0.5mo·lL-1氯化钠溶液模拟海水,1mo·lL-1的氯化镁溶液为汲取液,考察不同电量电荷修饰对碳纳米管正渗透膜中水分子密度分布、扩散系数以及水通量的影响.结果显示,电荷修饰对碳纳米管中水分子的密度分布和扩散速率以及水通量影响较显著,当碳纳米管管口荷电量为-0.3e时,碳纳米管膜可获得最大水通量.     

High-Pressure/High-Temperature NFS Study of Magnetism in LuFe 2 and ScFe 2

Using the new technique of nuclear forward scattering (NFS) of synchrotron radiation, we studied the magnetic hyperfine fields B hf and ordering temperatures T M of the Laves phases LuFe 2 (cubic C15) and ScFe 2 (hexagonal C14) at pressures up to 90 GPa and temperatures up to 700 K. For LuFe 2 we find for T M first an increase from 562 K at 0 GPa to 603 K at 10 GPa and then a decrease to 295 K around 75 GPa. The hyperfine fields B hf show at 295 K a continuous decrease with pressure, indicating a reduction of the Fe band moment. A similar behaviour of both T M and B hf was observed in ScFe 2.