一阶

Edge detection ; first directional derivative ; extremum ; Fourier transform

边缘检测；一阶方向导数；极值；傅里叶变换

Compared with the known results,the nonlinearity is allowed to change sign and is involved with the first-order derivative explicitly.In particular,the boundary condition includes the Dirichlet boundary condition and Robin boundary condition.

与现有工作相比，我们所考虑的动力方程不但非线性项可变号，而且包含一阶导数项，所考虑的边值条件更具一般性，比如可以包含Dirichlet及Robin边值条件等。

In this paper we study the existence and multiplicity of solutions for the semilinear elliptic Dirichlet problem at the first eigenvalue.

本篇文章主要研究了在一阶共振的半线性椭圆Dirichlet问题解的存在性和多解性，得到了几个解的存在性定理和一个多解性定理。

In this article, according to the structure of Armature which is the core part of an Electrodynamic Vibration Shaker, a three-degree equivalent dynamic model is set up and then the quick calculating formula of the first-order axial harmonic frequency of Armature is educed.

针对电动振动台的核心部件——动圈，根据动圈的结构，建立了动圈的三自由度等效动力学模型，导出了动圈轴向一阶共振点的快算公式。

Then we derive first-order necessary optimality conditions for optimization problems with affine variational inequality, which joint upper-level feasible region Z includes a linear inequality constraint and a linear equality constraint.

其次，我们研究Luo的带仿射变分不等式约束优化问题，其中上水平约束Z不仅含有线性不等式约束，而且含有等式约束情形时的一阶最优性条件，同时还给出了Z的切线锥的表达式。

Although the merit function introduced here is the sum of squares of overdetermined equations, by using the special structure of it, we successfully form the Newton equation by avoiding the product of Jacobi matrices and using only the Jacobi matrix of the function defining NCP.

对非线性互补问题，利用所构造价值函数具有的特殊非线性最小二乘结构，成功实现了具有一般意义的构造Newton方程时仅利用价值函数的一阶导数且无须计算相应残量函数Jacobi矩阵乘积的Newton法。

Furthermore, we analyze and explain the growth phenomenon of individuals' code length in genetic inductive logic programming. On the basis of the research about equivalence class problem existing in first-order rule mining, we propose a fitness function based on information gain.

此外，我们还对自己提出的GILP算法运行中的个体编码生长现象进行了研究，并在对一阶规则挖掘中的等价类问题的研究基础上，提出了基于信息赢取的适应度函数。

To do so, we define an equivalence relation with finite equivalence classes over state spaces of DTITL models.

通过定义DTITL无穷状态空间上的具有有限个数等价类的等价关系，把DTITL的连续状态模型离散化为一阶区间时序逻辑模型。

For first order plants and a class of special generalized plants, equivalently solvable conditions of H〓 control problem are deduced, respectively.

对一阶对象和一类特殊广义对象，给出了各自的等价H〓控制问题可解条件。

Solving a differential equation 2 Euler, Euler and improve previous trapezoidal method.

求解一阶常微分方程的两个欧拉法，先前欧拉和改进梯形法。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。