查询词典 contraction of tensor

Fist, comprehensive analysis on the current study on data processing is made, and characters of Newton methods about nonlinear surveying and mapping data processing are discussed, and then new solutions to parameters estimate with multi-sources, multi-types, multi-dimension, multi-precision bynonlinear least square are presented such as PSB algorithm, digital continuation and generalized digital continuation algorithm, cone model method, tensor analysis method, GCMA(mixed algorithm of gradient method and conjugate gradient method), combining algorithm based on Newton method and gradient method and confidence region and so on, and a new fast difference iterative algorithm is proposed towards parameters estimation containing random parameters in nonlinear models, and a new solutions to nonlinear least squares surveying and mapping adjustment by parameters estimation both considering the random and nonrandom parameters is presented after studying on nonlinear data processing in deformation monitoring, and at last primary analysis on error propagation of spatial data is made and approximate error propagation formula and error analysis formula to length and area are proposed.

首先比较全面分析了目前测量数据处理理论的研究现状，讨论了牛顿类方法在处理非线性模型参数估计方面的特点，研究并给出了求解多源、多类型、多维、多精度、非线性最小二乘测量平差参数估计的若干种新方法，这包括PSB算法、数值延拓及其广义数值延拓算法、锥模型法、张量分析法、基于最速下降法和牛顿法的组合算法、基于最速下降

For wool fibres, Sirolan TENSOR can supply fibre bundle tenacity and bundle extension , but has some limitations on the analysis of the measured tensile curves of fibre bundles.

采用束纤维强伸性测量方法能够得到羊毛纤维束比强度与纤维束伸长率，但在分析纤维束强力曲线时存在局限性。

Within differential geometry are the concepts of fiber bundles and calculus on manifolds , in particular, vector and tensor calculus .

微分几何包含这样的概念：纤维束和流形上的微积分，特别是矢量与张量微积分。

After reviewing the basic concept of general relativity, this introduction discusses its mathematical background, including the necessary tools of tensor calculus and differential geometry.

在审查了广义相对论的基本概念，讨论了其今年推出的数学演算，包括张量和微分几何的必要工具的背景。

On the journey, you'll discover how tensor notation relates to vector calculus, how differential geometry is built on intuitive concepts, and how freeduan.com variational calculus leads to field theory.

在旅行时，你将发现tensor表达式与矢量微积分有关怎样，几何学建立直觉概念多么不同啊，和freeduan.com variational微积分怎样导致原野理论。

By the end of college, we had courses on analytical mechanics, strength of materials, mechanics of structures, theory of elasticity, theory of plasticity, theory of vibration, fracture mechanics, fluid dynamics, finite elements, plates and shells, tensor calculus.

年底的学院，我们的课程分析力学，材料力学，结构力学，弹性力学，塑性理论，振动理论，断裂力学，流体动力学，有限元，板壳，张演算。

What this really means : Since we know that the mass-energy density tensor determines the geometry of space, not considering the intrinsic spin makes the theory incomplete.

定时空几何的观点看来，这是不够全面的。在广义相对论中，若要考虑物质自旋的作用

The tensor quality of energy density function, which contains coordinate vector, is mathematically proofed.

考虑到模型中能量密度函数含有坐标轴方向向量一项，该文对能量密度函数的张量性进行了严格的数学证明，并将VMIB模型初步应用到脆性材料的单轴受压破坏。

Effective - mass tensor ; density of state ; electron velocity ; crystal momentum ; quasi classical partical ; constant - energy surface

有效质量张量；态密度；电子速度；晶体动量；准经典运动；等能面

A technique suitable for diffusion tensor imaging at high field strengths is presented in this thesis.

我们提出一种适合在高磁场下使用的扩散张量影像技术。

Eight cases of simple chordee of penis were adopted urethral extending.9 cases of severe simple chordee of penis were adopted primary urethroplasty.

8例单纯性阴茎下弯患者采取尿道延伸术，9例重度阴茎下弯患者采取切断尿道矫直阴茎一期尿道成形术。

She is a daintily dressed young lady.

她是个装饰娇艳的少女。