查询词典 solution set of equation

Firstly, it's proved that the base of free monoid is unique, and that the equation of a base, a generating set and a irreducible generating set in the semigroup with length; Secondly, it's given the relation of a primitive word and a word of indecomposable--Let and is indecomposable, then is primitive ;And by using the length's method and chart,some properties of primitive word have been proved and the solutions of the equation , are discussed; Lastly, on the base of some proposition in Free monoids and Languages ,the proofs of some properties are improved by instruction. For example: Let be a primitive word over X, where .Then is a code. And let then if and only if {} is a code.

首先，讨论了含幺半群中基的基本性质及基与最小生成元集的联系，并给出了含幺半群中基、生成元集、不可约生成元集三者之间的关系；证明了在有唯一长度的半群S中，不可约生成元集、基、最小生成元集三者之间的等价关系；其次，讨论了字的组合与分解性，得出了字的本原性与不可分解性之间的关系---若为不可分解的，则一定是本原的，反之，不一定真；并运用图示法证明了字的可补性理论，讨论了方程，的可解性；在此基础上，用归纳法进一步证明了本原字与码的有关命题--若是X上的一个本原字，其中，则是一个码；若则当且仅当{}是一个码。

Based on the hydrokinetics study of jigging process, the free vibration equations of ideal fluid and actual flow vibration equations have been established. These equations are the theoretical foundation to set the operation parameters and air pressure of the jig. The similar criteria and their related equation of model jig have been deducted by actual flow vibration equation. These similar criteria can be used for parameter transformation between model jig and industrial jig. One set of single cell model jig with measuring system has been constructed in laboratory.

本文通过对跳汰过程的流体动力学研究，建立了跳汰机中理想流体的自由振动方程和实际水流的振动方程，为跳汰机工作制度及风源风压的确定提供了理论依据；利用跳汰机中实际水流的振动方程推导出了跳汰机模型试验的相似准数，建立了模化准则关系式，为工业跳汰机与实验室跳汰机之间的参数转换提供了理论依据；并设计建造了一套实验室单槽模型跳汰机及其实验检测系统，为深入开展跳汰理论的研究创造了条件。

In this paper a numerical model for simulating propagation and transform ofwater waves in coastal area is set up by using parabolic mild-slope equation inorthogonal coordinates, and the particular format of this equation in conformal systemis also set up.

本文建立了一个基于普通贴体正交网格系统的抛物型缓坡方程模型，并给出了其在保角坐标系下的特殊形式，利用该模型研究了扩张防波堤和环形渠道内波浪的传播这两个典型算例。

Firstly, mobile model and observed model of target, recursion equation set of speed filter was founded, and target speed model and virtual measure equations, recursion and modifying equation set of acceleration filter were established.

该算法先建立目标运动和观测模型、速度滤波器递推方程组，再建立加速度滤波器、目标速度模型和虚拟测量方程、加速度滤波器递推和修正方程组。

Optimization; parametric quadratic convex programming; set-valued map; directional derivative; linear stability; solution-set map; parametric linear programming; error bound; subdifferential map; lower locally directionally Lipschitzian; upper locally di-rectionally Lipschitzian; locally directionally Lipschitzian; convex function; quasidiferential; kernelled quasidiferential; quasi-kernel; star-kernel; star-diferential; Penot diferential; subderivative; superderivative; epiderivative; set-valued optimization; set-valued analysis; subdifferential; optimization condition;ε-dual; scalization; generalized subconvexlike-cone;ε-Lagrange multiplier

基础科学，数学，运筹学最优化；集值映射；方向导数；线性稳定；最优解集映射；参数线性规划；参数凸二次规划；误差界；次微分映射；下局部方向Lipschitzian；上局部方向Lipschitzian；局部方向Lipschitzian；凸函数；拟微分；核拟微分；拟核；星核；星微分； Penot-微分；上导数；下导数； Epi-导数；集值优化；集值分析；集值映射的次微分；最优性条件；广义锥次类凸；ε-对偶；数乘；ε-Lagrange乘子

The application problems mainly focus on how to solve triangle, acute triangle function, equation, inequation, function and its image, the three-dimensional image of a solid; while such knowledge as, plane geometry, solid geometry, operation of number and equation, trigonometric function equation, permutation and combination, ordered series of numbers sum, probability has no application problems.

4高中物理学习中存在运用困难的数学知识主要有函数及其图像、解三角形、锐角三角函数、方程、不等式、求函数极值、几何体的三视图等，然而，平面几何、立体几何知识、数与式的运算、三角函数公式、排列组合、数列求和、概率等知识基本没有运用困难。

In order to widen the scope of application of the equation, a thermodynamical enthalpy potential equation of the LHSS equation was derived according to the thermodynamical relation of universality of the enthalpy, and it has been used for calculating the process of adiabatic throttle.

为拓宽该方程的适用范围，文章从热焓的普适性热动力学关系出发，推导了该方程的热力学焓差方程式，并把它应用于绝热节流计算过程。

Because of error by dispersing albinism differential equation, the response of difference equation is changed relative to differential equation.

由于离散化引入了误差导致白化微分方程和差分方程的响应发生了变化。

In this way the algebraic equation and the differential equation of the elasticity are simplified to the linear equation.

这样可使弹性力学中的代数方程和微分方程简化为线性方程。

In the fourth chapter, we build the model of coefficient on one dimension partial differential equation and adopt finite element method to discrete partial differential equation and in the fifth chapter, we employ GP to identify and build the model of right-side function and adopt over-relaxation or alternating direction implicit method to solute difference equation.

在求解这些偏微分方程连续系数反演或右端连一一一~武卫1里鱼立二大一至」夔里匕崖匕位止透二立一一一一续函数的适应值评价中，我们都采用H'一范数正则化来解决连续参数的识别问题。

I'm not an actor. I'm a professor of paleontology.

我不是演员，我是古生物学教授

Spider Network Web site that is a very image of the name.

网络蜘蛛即Web Spider，是一个非常形象的名字。