多元分析

Structure equation model and multiple regression analysis are used to test the hypotheses.

利用结构方程模型和多元回归分析的方法，实证检验了所提出的假设。

Each cultivar was found to have a specific peak milking stage, during which the entrance of nutrition into grains tended to follow an indicial equation of y=ab~x.

对于影响灌浆的多种外界因素，经过多元逐步回归分析，提出了影响粒重的主要因素最优方程。

This course mainly contents real number muster and function, limit of number sequence, limit of function, continuity, derived number and differential, differential mean value theorem and its application, completeness of real number, integral, series(including positive series and Fourier series), multiple- differential, double integral, integral with parameter, curve integral, camber integral and so on.

理解和掌握《数学分析》的概念、理论和方法，对于学生加深理解数学的基本思想和方法，培养抽象思维能力和逻辑思维能力，提高数学素养具有重要的意义。主要内容包括：实数集和函数，数列极限，函数极限，连续性，导数和微分，微分中值定理及其应用，实数完备性，积分、级数(包括幂级数、Fourier级数)、多元微分学、重积分、含参变量积分、曲线积分、曲面积分等。

Results Factors affecting senile dementia in proper order of intensiveness were advanced age,history of stroke,smoking,hypertension,nature and family members living together,excluding the difference of positive results caused by the effect of cultural level.It seemed that the other factors were not very important in the Logistic multivariate regression analysis.

结果在排除文化程度本身对痴呆筛查量表阳性界值的差异性后，对影响老年期痴呆的最大因素依次为：高龄、脑卒中史、吸烟、高血压、性格和家庭同住人口类型等，而其他因素在多元回归分析中似乎所占密度不大。

A mathematical model among the investment,cost and income and internal rate of return was established.

在分析高含硫气田开发经济评价特点的基础上，运用技术经济的基本原理，在估算开发投资、成本、收入的基础上，建立了高含硫气田经济评价模型，通过实例计算出不同投资、成本、价格下的内部收益率，并运用SPSS软件对数据进行一元和多元回归处理，得到投资、成本、价格与内部收益率之间的数学模型。

This paper has discussed four different gridding methods in space domain, i.e., linear interpolation, multiquadric function, ordinary Kriging and inverse interpolation. The calculation of these gridding methods is illustrated by both theoretical model and real aeromagnetic data examples.

文中介绍了线性插值法、多元二次函数法、普通克里格法、反插值法等4种空间网格化法的原理，并利用这些网格化方法进行了理论模型和实际航磁数据的试验分析。

This dissertation firstly introduces the principles of four kinds of simple gridding methods, which are"Linear interpolation based on triangulation","Inverse distance weighted and averaged method","Modified Shepard's method"and"Multiquardirc method". Secondly, it researches the Ordinary Kriging method for geophysical irregular data, which mainly includes the base knowledge of region change and variogram and the principle of Ordinary Kriging method. Thirdly, it researches the Inverse Interpolation for geophysical irregular data, which mainly includes the principle of inverse interpolation and its iterative algorithm, and the principle of Inverse Interpolation to realize the gridding of geophysical data. Finally, it uses these gridding methods to grid theoretical model data of potential field and raw aeromagnetic data, and compares and analyzes the gridding results.

本文首先简单介绍了地球物理不规则分布数据的四种简单网格化方法(即基于三角网的线性插值法、反距离加权平均法、改进的Shepard方法和多元二次函数法)的方法原理；接着，重点研究了地球物理不规则分布数据网格化的普通克里金法，主要研究了区域变化量、变差函数的基础知识和普通克里金法的方法原理；之后，重点研究了地球物理不规则分布数据网格化的反插值法，主要研究了反插值法的方法原理和迭代求解算法，以及反插值法实现地球物理数据网格化的原理；最后，应用这些方法对理论位场模型和实际航磁数据进行了试验、对比和分析。

The research of both theories and practices of gridding in the dissertation shows that: Linear interpolation based on triangulation is simple computationally and fast, but its gridding results isn't smooth and its precision is low; Multiquardric method is also simple computationally with high precision and good effect, but its gridding is slow because it is based on global calculation; Minimum curvature method is fast with high precision and good effect, but its gridding quickly degrades over areas with sparse data control when grid spacing smaller than the actual grid spacing is used; Ordinary Kriging method is high-precision, but its gridding is slow because of large calculation; Inverse interpolation is a computationally fast, efficient and robust method with high accuracy and perfect effect, and its gridding results of different gridding orientations are basically identical. Inverse interpolation is suitable for thegridding of geophysical irregular data, especially for large-scale geophysical irregular data.

本文的方法研究和数据试验分析表明：基于三角网的线性插值法计算简单，速度快，但其网格化结果不光滑，精度不够；多元二次函数法计算简单，网格化精度高，效果良好，但它是基于全局计算的，计算速度较慢；最小曲率法计算速度快，网格化精度高，效果良好，但其在稀疏控制点的网格化容易出现振荡现象；普通克里格法网格化精度高，效果良好，但其计算量较大，一般计算速度慢；反插值法网格化计算稳定，速度快，精度高，效果好，而且在网格化方向不同的情况下其网格化精度效果都达到基本一致，适合于地球物理不规则分布数据的网格化，特别是大规模地球物理不规则分布数据的网格化。

The reference crop evapotranspiration(ET0) in Guanzhong region was calculated with the Penman-Monteith equation. The change characteristics of meteorological factors and ET0 over year were analyzed. The regressing relation between ET0 and geography factors was established. Space distribution of ET0 based digital elevation model was obtained. The water consumption model of main cropes was established using the crop cofficient method. The irrigation water requirement of main crop and it's space distribution based DEM under the different precipitation probability was obtained, which advanced the calculation precision of ET0 from spot scal to regional scal. The concept of water consumption under the irrigational scal was proposed. The water consumption model of different water user and model of groundwater balance based on the water consumption of Baojixia irrigation district was established. Which can refects the relation between water utilization, water consumption and change amount of groundwater resouces.

深入分析了关中地区气象要素的变化趋势，用Penman-Montainth 公式计算了参考作物蒸发蒸腾量（ET0），建立了ET0与地理要素的多元回归关系，获得了基于数字高程模型DEM的关中地区ET0的空间分布图；用作物系数法建立了关中主要作物生育期耗水模型，获得了主要作物在不同降雨条件下的灌溉需水，以及基于DEM的主要作物灌溉需水空间分布图，提高了作物蒸发蒸腾量由点到面尺度转换过程中的估算精度；界定了灌区尺度的耗水量的概念，包括用水耗水和非用水耗水，建立了灌区耗水量计算模型及基于耗水量变化的浅层地下水均衡模型，能较好地反映灌区引水量、耗水量及地下水蓄变量之间的内在关系。

By performing and analyzing these pieces, to present the characteristic in various developmental period of keyboard instrument, and to present the characteristic in various forms, and divergent cultural characters.

藉由弹奏及分析这两场音乐会之作品，来呈现各时期键盘乐器的发展特色及各种型式的乐曲风格；并展现多元的文化差异。

The X-ray diffract was used to analyze the crystal structure of the composite. Results show that after the talc was treated with blend coupling agent, the crystal structure of talc changed, and effect Intercalation phenomenon.

通过X射线衍射分析可知，用混合偶联剂对滑石粉进行预处理后，滑石粉晶体结构发生改变，产生了插层现象，使PP／滑石粉复合材料为纳米复合材料。

An authentic Maui wedding might require the services of a 'kahu', which is a Hawaiian minister.

毛伊可能需要一个真实婚礼服务'kahu'，这是夏威夷部长。