分数的

Then using classical fractional differential G-L definition deduces fractional order differential difference function and constructs an approximate fractional order differential Tiansi module.

然后由经典的分数阶微分定义出发，推导出了分数阶差分方程，构建了近似的分数阶Tiansi微分模板。

The research shows that gas concentration shows generally an increasing tendency along the working face airflow direction, from 0.095% to 0.18%, under the effect of gas drainage points, up-and-down changing locally; gas distribution in a transect of working face is unequal, under the effect of gas emission, ventilation and drainage, the gas concentration near coal wall is larger than that near goaf, which is a concave function distribution within a distance of 1876.5 m from the inlet of working face, after greater than 76.5m, which is a decreasing distribution from coal wall to goaf.

研究表明，该工作面瓦斯体积分数沿风流方向总体呈逐渐增加趋势，介于0.095%~0.18%之间，受瓦斯抽放点的影响，局部有起伏变化；工作面横断面瓦斯体积分数分布不均匀，受瓦斯涌出、通风和抽放的影响，靠近煤壁侧瓦斯体积分数要高于采空区侧，在距离进风口约18~76.5 m范围内为凹函数分布，大于76.5 m之后，从煤壁至采空区为单调下降函数分布。

In this paper,a space fractional differential equation is considered.The equation is obtained from the advection-diffusion equation by replacing the second order derivative in space by a fractional derivative in space of order.

考虑空间分数阶微分方程(即在一个标准的扩散-对流方程中，用分数阶导数代替空间二阶导数)，给出了该分数阶微分方程的显式和隐式有限差分格式。

Based on the analysis of some aspects, such as the approximative algorithm of FOC, the Tustin transform theory and its generating function formula's character, the convergence guarantee of binomial power function by Maclaurin expanding, and the consideration of the limitation of conventional methods, an improved method is proposed to compute the numerical evalution of FOC using PSE and Tustin transform and is further applied to solving the linear FOS.

以分数阶算子近似方法的分析研究为基础，基于Tustin变换理论及其用于分数阶算子的离散生成函数公式特点，利用二项式幂函数的Maclaurin展开能够保证收敛的特性，考虑常用算法的局限性，提出了一种改进的基于幂级数展开和Tustin变换的分数阶运算方法，并应用于线性分数阶系统的求解，给出了递推算法的详细推导。

But the volume fraction of particles in composite fabricated by prefabricate method was finite.

但是预制件法制备的复合材料的颗粒体积分数有限，无旋涡机械搅拌法的制备温度高，故这两种方法均不适合制备体积分数高（大于 20％）、颗粒尺寸小的复合材料而利用半固态机械搅拌法，能够将颗粒尺寸为3.5μm；体积分数为40％的SiC颗粒加入到金属Al中，但是当颗粒体积分数大于30％时，机械搅拌方式不能将颗粒均匀地分散在基体金属中。

The results show that increasing the solids loading of slurry up to 45% allows minimizing deformation of green sheets during drying and sintering process effectively. When the content of monomers in shurry is 2%-4%, and the content of plasticizer in shurry is 3%-6%, green sheets with good strength and flexibility are obtained. The microstructures and the electric characteristics of PTCR chip thermistors were investigated. A five-layer chip PTCR thermistor with room resistance of 0.8Ω, temperature coefficient of resistance of 13.40%/℃, and ratio of maximum to minimum of resistance larger than 10^5 is successfully fabricated.

研究表明：浆料固相体积分数对坯体的乾燥及烧结行为有较大影响，当浆料固相体积分数在45%以上时，可有效避免制品乾燥和烧结过程中收缩过大而产生的变形开裂缺陷；当有机单体的质量分数为2%~4%，丙三醇的体积分数为3%~6%时，可获得有一定强度和柔韧性的生坯；研究了注凝成型PTCR陶瓷的微观结构及陶瓷元件的PTCR性能，成功地制备了层数为5、室温电阻为0.8Ω、电阻温度系数为13.40%/℃、升阻比大於10^5的多层片式PTCR元件。

The results show that increasing the solids loading of slurry up to 45% allows minimizing deformation of green sheets during drying and sintering process effectively. When the content of monomers in shurry is 2%-4%, and the content of plasticizer in shurry is 3%-6%, green sheets with good strength and flexibility are obtained. The microstructures and the electric characteristics of PTCR chip thermistors were investigated. A five-layer chip PTCR thermistor with room resistance of 0.8 Ω, temperature coefficient of resistance of 13.40%/℃, and ratio of maximum to minimum of resistance larger than 105 is successfully fabricated.

研究表明：浆料固相体积分数对坯体的干燥及烧结行为有较大影响，当浆料固相体积分数在45%以上时，可有效避免制品干燥和烧结过程中收缩过大而产生的变形开裂缺陷；当有机单体的质量分数为2％~4%，丙三醇的体积分数为3％~6%时，可获得有一定强度和柔韧性的生坯；研究了注凝成型PTCR陶瓷的微观结构及陶瓷元件的PTCR性能，成功地制备了层数为5、室温电阻为0.8 Ω、电阻温度系数为13.40%/℃、升阻比大于105的多层片式PTCR元件。

The research work consists of two aspects:the relationship between fluorine in coal and ash,mineral composition;organic affinity and washability of fluorine in coal.

研究内容包括：煤中氟与灰分、矿物成分之间的关系；煤中氟的有机亲和性与可选性；研究结果表明：煤中氟质量分数与灰分质量分数之间呈正相关关系；中国煤中氟质量分数与灰分之间存在以下指数增长关系；煤中氟质量分数与煤中矿物质的成分有关；煤中氟属"中等无机型"元素，无机亲和力较强，有机亲和力较弱；煤中氟以无机氟为主，有机氟为辅的方式赋存；原煤洗选是脱除煤中氟的一种可行的技术措施。

The results indicated that the concentration of Cu in the soil is 220.16 mgkg^(-1) contrast to the CK 500.31 mgkg^(-1) significantly decrease when the concentration of EDTA in the soil is 2 mmolkg^(-1) that explains EDTA treatment significantly decreased soluble Cu content in soil because of translating into Cu of water distill floating on the surface of soil and most accumulating around root. Contemporary, application of EDTA to the soil significantly enhanced mobilization of Cu in soil and increased Cu uptake in shoot of Leersia hexandra Swartz., the highest concentration in the leaves 336.54 mgkg^(-1) is 4 times higher compared with the ck 80.34 mgkg^(-1). However, citric acid, oxalic acid and malic acid inhibited mobilization of Cu and less significantly affected shoot Cu accumulation.

结果表明，当向土壤中施加质量摩尔浓度为2mmolkg^(-1)的EDTA时，土壤中Cu质量分数为220.16mgkg^(-1)与空白土壤中500.31mgkg^(-1)相比明显减少，说明EDTA可以极显著的降低土壤中的铜质量分数，使其转化成水提取态的Cu浮于土壤表面，并大部分聚集在根部周围，同时向土壤中施加EDTA不但促进了对Cu的活化而且显著提高了李氏禾对Cu的吸收，叶中最高质量分数达到336.54mgkg^(-1)是对照中80.34mgkg^(-1)的四倍；而柠檬酸、草酸和酒石酸则抑制了Cu的活化，但对李氏禾地上部分的Cu质量分数影响不大。

Based on this, aim at the disadvantage on Wigner Distribution and Fractional Fourier Transform that can't restrain noise interference effectively when be used to detect Linear Frequency Modulated signals interfered by heavy noises, we proposed a improved WD. Simulation results show that this method can restrain noise interference effectively and improve the ability of LFM signals detection. On the other hand, in multi-component cases, WD suffers from the cross-terms, which may impair some of the auto-terms. In order to separate original multi-component signals into components and reconstruct them separately, we can use the method of optimal filtering in fractional Fourier domain. But this method also has a problem that if signals have aliasing in the fractional Fourier optimal domain as well, the reconstructed signals will be distorted. In this thesis, a novel method of quasi Fourier transform is proposed in order to solve the problem of multi-component signal reconstruction, and have good results.

在此基础上，针对Wigner分布和分数维傅里叶变换在处理高噪声背景下线性调频信号检测的问题时存在不能有效抑制噪声干扰的缺点，提出了改进Wigner分布的办法，该方法能够抑制噪声，提高信号的检测能力；针对Wigner分布在处理多分量非线性调频信号时存在干扰项的缺点，以及分数域最优滤波方法在处理多分量非线性调频信号分离重构问题时存在的局限性，该局限性表现为在对最优分数域上也有信号分量重叠的情况进行处理时重构信号发生畸变，提出了新颖的类傅里叶变换的方法，该方法对在最优分数域上也有信号分量重叠的情况也能处理，得到的重构信号失真很小。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失