查询词典 one dimensional

This method assumes a global embedding function in low dimensional space, then incorporates the relative compactness information of the data distributions on the global geometry to reconstruct sample data. Finally, the global low dimensional submanifold is obtained by minimizing the cost function.

该方法首先假定目标空间的整体映射函数，然后结合数据的全局几何结构分布信息进行数据重构，最后通过最小化准则函数来得到嵌入高维空间的低维子流形。

Carl Ludwing explains how this technique differs from traditional texture mapping : when you want something to be in a certain area, like a grease spot, everyone else tends to do it with standard texture-mapping tools. But if I take a painted map and map it on, then I've wrapped a two-dimensional object around a three-dimensional object, and there are all sorts of positioning problems associated with that. Also, when you transition to another subpart of the character, you have to provide a whole new set of coordinates.

卡尔·路德温解释了这一技术与传统材质贴图技术的不同之处，比如说：如果想把油点一类的东西贴到某个地方，别人都会用标准的材质贴图工具来完成，但是如果我先拿来一张着色的地图，把这个油点标在上面，那就等于把一个三维物体安置在二维环境当中，随之会出现各种定位方面的问题，同样，如果你要观察目标的另一处次要部位，就必须给出新的坐标。

In the two-dimensional surface on the car is no easy thing, so it is not difficult to imagine a leap into the air when the three-dimensional space, driving, traffic planning is all the more high-tech network.

在二维的地面上开车就不是件简单的事儿，所以不难想像，当跃升到空中的三维空间时，驾驶、交通网规划更是高新技术。

This article mainly simulates gradually damage destruction process of rock, major in determinationg the definition of rock three-dimensional damage tensor, simplify to the damage tensor and obtain its engineering calculation method, and obtains the basic expression form of equivalent stress by equivalent stress assumption, symmetrization to the actual stress, thus obtains construction relation of the festival principle of three-dimensional damage rock mass, finally couples elasticity- plasticity with damage in the finite element equation, with reference to elasticity-plasticity gradually degenerated method thought, simulates rock damage to advance gradually the destruction process in finite element method, draws up elasticity - plasticity and damage coupling two-dimension finite element procedure with the C language in the VC contact surface, by simulating experiment destroyed process, acquires destruction image and the axial load distortion curve of model, agreement with the experimental result.

本文主要模拟岩石渐进损伤破坏过程，确定岩石三维损伤张量的定义，对损伤张量进行简化计算并得出其工程计算方法，采用等效应力假设得出有效应力的基本表达形式，对有效应力进行对称化，得出节理损伤岩体的三维本构关系，在有限元方程中实现弹塑性和损伤耦合；借鉴弹塑性渐进退化方法的思想，采用有限元的方法模拟岩石损伤渐进破坏过程，用C++语言在VC界面编制了弹塑性和损伤耦合的二维有限元程序，通过模拟已有的实验破坏过程，得出模型的破坏图像和轴向荷载变形曲线，与实验结果基本一致。

Chapter 2 is devoted to study of exact solutions of the nonlinear evolution equations. Using solutions of a Bernoulli equation instead of tanh in tanh-function method we find some more general solutions of the KdV-Burgers-Kuramoto equation , and by using the nonlinear telegraph equation we show that there are many different choices on its balancing number m and the power n of the nonlinear term in Bernoulli equation by which we can recover the previously known solutions and also can derive new square root type solitary wave solutions. Exact solitary wave solutions for a surface wave equation are obtained by means of the homogeneous balance method. We also present an approach for constructing the solitary wave solutions and non-solitary wave solutions of the nonlinear evolution equations by using the homogeneous balance method directly, which is also used to find the steady state solutions, solitary wave solutions and the non-solitary wave solutions of the 2+1 dimensional dispersive long wave equations. The soliton-like solutions of the BLMP equation and the 2+1 dimensional breaking soliton equation are found by use of the symbolic-computation-based Method.

第二章中研究了非线性发展方程的精确解：用双曲正切函数法中的双曲正切函数换为Bernoulli方程的解的方法而给出KdV-Burgers-Kuramoto方程的精确解并用非线性电波方程为例说明了平衡数m和Bernoulli方程中非线性项的次数n有着多种选择的可能，它不但使我们能找到已知解而且也能找出新的根式孤立波解；用齐次平衡法给出一个曲面波方程的精确孤立波解，并提出直接用齐次平衡法寻找非线性发展方程的孤立波解、非孤立波解的方法，作为应用给出2+1维色散长波方程组等的定态解、孤立波解、非孤立波解等；用Symbolic-computation-basedMethod获得BLMP方程和2+1维破裂孤子方程的类孤子解；提出sine-Gordon型方程的直接求解方法，并获得sine-Gordon方程、双sine-Gordon方程、sinh-Gordon方程、MKdV-sine-Gordon方程和Born-Infeld方程等的精确孤立波解。

You can teleport from third dimensional to fourth or to fifth dimensional or higher existence's.

你能从第三空间心灵运输到第四或到第五空间或更高的存在。

By the verification of examples and the application an eleven-dimensional SSO system, as well as the testification of common QR method, it is shown that the method is effective for the identification of simple Hopf bifurcation of high dimensional system.

在第一部分中，本文根据Hopf分岔的代数判据，针对高维非线性动力系统，提出了半解析半数值的Hopf分岔识别方法。

Kelvin of thermodynamic temperature unit is consists of 4 dimensional space , minus 4 dimensional time and an coefficient of 22.77 ,its physical expression has upgraded into

热力学温度单位开尔文是由4维空间，负4维时间和系数22.77构成的，其物理学表述升级为

The characteristics on the shape and location tolerance loops appeared in dimensional chain were analyzed and generalized in this paper and the thread and method for calculating the dimensional chain with the shape and location tolerance loop were suggested too.

对在尺寸链中出现的各种形位公差环的特点进行了分析和归纳，并提出了求解包含形位公差环的尺寸链的思路和方法。

Like the staircase of my signature, it can be represented in two- dimensional space but cannot exist in three- dimensional space.

我喜欢上签名，它可以在两个-维空间，但并不存在于3 -维空间。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。