查询词典 length of curve

This paper analyzed thoroughly the transient electromagnetic field analytic expression in homogeneous half space, discovered that the transient response curve has a characteristic of translational expansion and contraction with the underground conductivity, transmit loop length and observation time. According to that, we proposed a new direct method to calculate full time domain apparent resistivity.

深入分析了均匀半空间中瞬变电磁场的解析表达式，发现瞬变响应曲线随地下电导率、发射回线边长与观测时间具有平移伸缩特性，并据此提出了一种新的直接计算全区视电阻率的方法。

The trajectory of antisubmarine homing torpedo is a complex space curve, so there is big limitation in accounting its trajectory length by plane geometry.

由于反潜自导鱼雷的弹道是一条复杂的空间曲线，因而平面几何解析法求解其弹道长度有较大的局限性。

This project studies the scale-dependent deformation behavior of the metal matrix composite, the void nucleation and void growth mechanisms at the micron/submicron scale. The main results are:(1) In prophase, growth and coalescence of the void embedded in the graded matrix are analyzed in detailed;(2) Based on the infinite solid model containing a micro-void, coupling effects of the void shape and the void size on the void growth are studied carefully, the results show that it seems to exist a critical equivalent void radius, which is associated with the material length. When radius of a microvoid is close to or smaller than the critical void radius, the micro-void growth rate is essentially eliminated;(3) The coupling effects of the particle shape and size on the mesoscopic stress fields within the particle and matrix are also investigated by introducing the conception of inclusion/matrix interfacial energy. The results show that the stress concentration factors within the particle and on the matrix/particle interface are also strongly size-dependent,so the void nucleation mechanism is size-dependent.(4) By employing a specific orthogonal curve coordinate frame and a 'kernel function' conception, a 'unified method'solving the spheriodal and spherical void problems is suggested; by this unified method, size-dependent plastic potentials of the porous materials containing the spheriodal or spherical voids are obtained, which extend the traditional Gurson model for the spherical void and GLD model for the spheriodal voids to the micron scale.(5) Based on the RVE model containing the spheriodal or spherical particles, the influences of the particle shape and size on the size-dependent mechanical behavior of metal matrix composite are studied.

中文摘要：本项目对金属基复合材料在微细观尺度下的尺度相关变形行为、孔洞形核及长大的机理和模型进行了研究，取得了如下主要结果：1）在前期研究中，探讨了基体的梯度分布对孔洞长大和聚合的影响；2）基于含孔洞的无限大体模型，探讨了孔洞形状和孔洞尺寸对其长大的耦合作用，结果表明：可能存在一个与材料特征长度相关的临界孔洞尺寸，当椭球孔洞的等效半径小于临界孔洞半径时，孔洞的长大受到明显抑制；3）通过引入基体/夹杂界面能的概念，分析了夹杂尺寸、夹杂形状对材料细观应力场的耦合影响，结果表明：颗粒内部和界面上的应力集中因子强烈地依赖于夹杂的尺寸和形状，因此，孔洞的形核机理是尺寸相关的；4）采用一种特殊的正交曲线坐标系和引入"核函数"的概念，"统一"地得到了含椭球和球形孔洞的材料的尺寸相关塑性势，它将传统的Gurson球形孔洞模型和GLD椭球孔洞模型推广到微尺度范围；5）基于含椭球和球形夹杂的体胞模型，初步研究了夹杂形状、夹杂尺寸对金属基复合材料尺寸相关力学行为的影响。

The key of the algorithm is how to estimate the derived vector of the surface curve or the first derivative of the surface of revolution according to the given length or area constraint.

算法的关键在于如何利用已知的弧长或面积约束来估计空间曲线或旋转面的旋转曲线在节点处的导向量或一阶导数值。

In order to reduce the cost of matching, we used multiple scale technique. 4. We presented a novel method of searching for similar fragments of 3D curves. with this method, a hash vector is associated with each fixed-length fragments of 3D sherd. Each vector consists of low frequence component of Fourier-Like spectrum for the distance between profile curve and the centroid.

依据样条曲线的基本理论，研究了基于B样条的轮廓曲线的匹配方法，给出了由轮廓曲线不变量曲率和挠率构造的相似不变量的选取以及基于相似矩阵的匹配算法，并对该算法的时间复杂度作了估计，同时，将多尺度技术引入到物体轮廓的匹配问题中。

From 1956 to 1958, the study of the effects of day length upon the Photostage, floral curve, number of boll and the development of reproductive organs of the Sea Island cotton Gossypium barbadense L.

在10小时日照下的棉株較在自然日照及16小时光照下的棉株其现蕾期及开花期均提早，第一果枝着生节位下降，开花数及結鈴数均显著增加。

By the mechanics analysis of pumping rod, the calculation model of the mechanics analysis of pumping rod and neutrality point of oil tube have been established. The function of pumping rod bend space length and account method have been derived and analysis example have been completed. The simulation of wellbore trajectory and the deformation curve of sucker rod and oil tube is also given.

论文对机械磨损和腐蚀对偏磨的影响进行了分析，通过对抽油杆和油管的力学分析，建立了下冲程抽油杆、管柱下部受力分析与中性点计算模型；给出了抽油杆变形的影响因素，建立了油井井身轨迹、抽油杆和油管在油井中的变形曲线模拟软件。

The main functions of this system are medical record management, measurement of dental arc width, measurement of dental arc length, calculation of Spee's curve distance, calculation of crowding degree, angle measurement, Bolton index analysis, mixed dentition measurement and analysis, statistical analysis, specialist system, and so on.

系统的主要功能包括：病历管理、牙弓宽度测量、牙弓长度测量、Spee氏曲线距离计算、拥挤度计算、角度测量、Bolton指数分析、混合牙列期测量分析、统计分析，以及专家系统，等等。

Under the ratios of various initial cracking relative length,height and volume of gas concrete beam,the whole curve of opening displacement s at several testing points about fracture toughness,fracture energy,and in the area of load,cracking-tip-opening-displacement,cracking tip opening displacement cracking-tip-area are researched systematically.

在本研究中对加气混凝土梁在不同初始裂纹相对长度、不同高度以及不同体积比例等情况下的断裂韧性、断裂能以及载荷—裂纹口张开位移—裂纹尖端张开位移—裂纹尖端前沿区若干测点张开位移全曲线进行了系统研究。

Hurst parameters of data series of gold grade, derived from notch grooves in different exploratory lines, are calculated by the methods of incremental standard deviation, curve length transform and resealed range analysis, and the applicability of these methods is evaluated affectively.

以大尹格庄金矿不同勘探线刻槽取样所得的金品位序列为例，评价Hurst指数的几种估算方法在地质剖面数据分析中的适用性。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。