查询词典 trilinear

Using the property of the bilinear and trilinear form, a priori bound for solutions of a weak formulation is given.

利用双线性函数和三线性函数的性质，论述了各子问题的有界性、强制性以及解的先验估计。

In chapter four,we have studied the permutation group coset method in calculations of gauge field vertices which can simplified the calculation of gluonic vertices.Using this method we derived the Feynman rules of trilinear vertex and quartic vertex of gauge theory.

第四章给出了规范场顶角计算中的置换群陪集展开方法，利用该方法可以简化胶子顶角的计算，并导出了规范场的三点及四点树图顶角的Feynman规则。

By using digital millisecondmeter and phototube instead of manual operation,the improved trilinear pendulum experimental device improves measuring precision.

用数字毫秒计和光电管取代手工操作，使改进后的三线摆实验仪提高了测量精度。

The R/C frame structures were modeled with bar system and the column was modeled with multi-springs. The concrete and steel bars in column were considered as springs in order to reflect the coupling influence between the axial force and the moment-rotation relationship, the hysteresis of springs is based on the material properties and the rotation of column section is followed the plane assumption. The moment-rotation of beam section was modeled with trilinear hysteresis model.

混凝土框架分析模型采用杆系模型，其中柱采用多弹簧模型，柱端的混凝土和钢筋作为弹簧考虑以便反映柱轴力与弯矩－曲率的耦合关系，弹簧的滞回关系根据材料特性确定，柱截面的转动符合平截面假定，梁截面弯矩－转角关系采用三折线滞回关系模型。

Vesic's solutions to cavity expansion that include cylindrical cavity expansion and spherical cavity expansion are introduced. Then cylindrical cavity expansion theory is applied to study compaction effect of pile driving in saturated soil. Based on the results of conventional triaxial tests, a trilinear curve model is used to simulate stress-strain curve of strain-softening materials. Meanwhile, trilinear curves are also used to simulate curves of volumetric strain, minor principal strain and major principal strain. By using elasto-plastic theory, analytical solutions to cylindrical cavity expansion in strain-softening soil are presented. According to the mechanism of statically pressed pile driving, compaction effect of pile tip can be viewed as hemispheric cavity expansion. Therefore spherical cavity expansion theory is applied to obtain the solutions to stress, strain, displacement fields and final pressure. Resistance force of pile tip is calculated to estimate static pressure.

介绍了Vesic关于圆孔扩张问题的解答，其中包括柱形孔扩张问题和球形孔扩张问题，并应用柱形孔扩张理论分析了饱和软土中的沉桩挤土效应问题；在常规三轴试验成果的基础上，采用三折线模型模拟具有应变软化性质的岩土材料的应力应变关系曲线，分析了在应变软化土体中沉桩时桩周土的位移场、应力场和应变场的变化，得到了解析解答；分析了静压桩的沉桩机理，并利用球形孔扩张理论，视桩端处的挤土为半个球形孔的扩张，分析了桩端处土的位移场、应力场和应变场的变化，并根据最终扩张压力计算出沉桩时的桩端阻力，可作为压桩力的估算。

Three-way data analysis (Chapter 1 to 5 of Part Ⅰ): In terms of the symmetry of trilinear model, several statistical criteria including coupled vectors resolution errors and slice-wise diagonalization error are proposed for statistically plausible resolution of trilinear data. These criteria form the basis for the development of novel trilinear analysis procedures. In Chapter 1 the coupled vectors resolution method is developed for second-order calibration.

三阶数据分析：利用三线性模型的对称性，提出了耦合向量分辨误差与同时对角化误差等多个三线性分辨的统计准则，这些准则为今后发展三线性分辨方法提供了重要依据。

In chapter 2, the theory of an improved trilinear decomposition algorithm based on a lagrange operator has been described.

论文的第二章，提出利用拉格朗日乘子法的原理来构造目标函数的三线性分解改进算法基本思路。

Trilinear constraint and its application in image synthesis.

三线性约束及其在图像合成中的应用。

This matter was dealt with is divided into three: Nearest Neighbor, Bilinear and Trilinear.

而这种处理的方式共分三种：Nearest Neighbor，Bilinear以及Trilinear。

Trilinear Interpolation but can provide the highest quality picture.

但是Trilinear Interpolation可以提供最高的贴图品质。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。