Relation between Small Functions with Differential Polynomials Generated by Solutions of Linear Differential Equations

This paper is devoted to studying the growth of solutions of second-order nonhomogeneous linear differential equation with meromorphic coefficients. We also discuss the relationship between small functions and differential polynomials L(f)=d2f″+d1f′+d0f generated by solutions of the above equation, where d0(z),d1(z), and d2(z) are entire functions that are not all equal to zero

Worse outcome in breast cancer with higher tumor-infiltrating FOXP3+ Tregs : a systematic review and meta-analysis

Table S1. Characteristics of the included studies. (DOCX 39 kb

Axionlike-particle generation by laser-plasma interaction

Axion, a hypothetical particle that is crucial to quantum chromodynamics and dark matter theory, has not yet been found in any experiment. With the improvement of laser technique, much stronger quasi-static electric and magnetic fields can be created in laboratory using laser-plasma interaction. In this article, we discuss the feasibility of axion or axionlike-particle's exploring experiments using planar and cylindrically symmetric laser-plasma fields as backgrounds while probing with an ultrafast superstrong optical laser or x-ray free-electron laser with high photon number. Compared to classical magnet design, the axion source in laser-plasma interaction trades the accumulating length for the source's interacting strength. Besides, a structured field in the plasma creates a tunable transverse profile of the interaction and improves the signal-noise ratio via the mechanisms such as phase-matching. The mass of axion discussed in this article ranges from 1 \textmu eV to 1 eV. Some simple schemes and estimations of axion production and probe's polarization rotation are given, which reveals the possibility of future laser-plasma axion source in laboratory.Comment: 24 pages, 5 figure

Mean percentage of returns for stock market linked savings accounts

Stock market linked savings accounts have become more and more popular. The returns of these accounts are random so the returns, even the initial capital, are not guaranteed. They are very much different from the familiar fixed-term-fixed-rate savings accounts. The aim of this paper is to perform the stochastic and numerical analysis on the stock market linked savings accounts in order to establish the theory on the mean percentage of return (MPR). We will mainly perform the case studies on 5 typical plans linked to the UK Financial Times Stock Exchange (FTSE) 100 Index, but the theory developed is fully illustrated so that it can be applied to other plans by the reader

Codes cross-correlation analysis and data/pilot code pairs optimization for Galileo E1 OS and GPS L1C

AbstractThe Galileo E1 open service (OS) and the global positioning system (GPS) L1C are intending to use the multiplexed binary offset carrier (MBOC) modulation in E1/L1 band, including both pilot and data components. The impact of data and pilot codes cross-correlation on the distortion of the discriminator function (i.e., the S-curve) is investigated, when only the pilot (or data) components of MBOC signals are tracked. It is shown that the modulation schemes and the receiver configuration (e.g., the correlator spacing) strongly affect the S-curve bias. In this paper, two methods are proposed to optimize the data/pilot code pairs of Galileo E1 OS and GPS L1C. The optimization goal is to obtain the minimum average S-curve bias when tracking only the pilot components a the specific correlator spacing. Figures of merit, such as S-curve bias, correlation loss and code tracking variance have been adopted for analyzing and comparing the un-optimized and optimized code pairs. Simulation results show that the optimized data/pilot code pairs could significantly mitigate the intra-channel codes cross-correlation, and then improve the code tracking performance of MBOC signals

Pro-poor intervention strategies in irrigated agriculture in Asia: poverty in irrigated agriculture: issues and options: China

Irrigated farming / Poverty / Households / Income / Irrigation management / Institutions / Conflict / Legal aspects / Water policy / Water allocation / Price policy / Water rights / Water market / Irrigation programs / Public ownership / Models / Regression analysis / Farm size / Labor / Productivity / China

Numerical Simulation and Experimental Examination of an Oldham Coupling

In scroll compressors, the Oldham couplings have typically been formed of aluminum alloy and have often broken issues due to the higher force that transmitted to Oldham coupling by the orbiting scroll. This problem was especially pronounced in scroll compressors and in particular during flooded start or slug conditions.  So, to enhance Oldham coupling’s strength performance in above conditions becomes an important work to Engineers. In this paper, about 30 pcs failed Oldham couplings which were broken in by flood start or slug conditions were investigated. Meanwhile, Oldham coupling’s stress distribution and deformation were simulated in ANSYS software. High stress zones and weak positions were got; potential failure risks were also reappeared in the simulation. After simulation, two optimized proposals were stated and simulated. And then, corresponding prototypes were made and sent to test together with mass production parts in lab. Tests results indicate new design’s strength performances were improved and highly aligned with numerical simulation results. But, some test errors were also found between mass production parts and prototypes. The factors which can impact errors and their weight were analyzed and calculated. In the end, a prediction model of using numerical model to estimate mass production part performance is given in this paper.