用面积原理证明了原函数存在定理；
Application of the area principle may enable some problems to be visual and eaSy.
证明了连续信号传输算子的存在定理。
An existence theorem of continuous signal transfer operator is given.
同时提出了两个混沌存在定理及两个判据。
Two theorems of chaos existence and two criteria for chaos prediction are proposed as well.
利用锥上的度数理论获得了一个新的存在定理。
A new existence theorem is obtained by applying the degree theory on cone.
证明了存在定理。
作为其应用，我们给出了素模型存在定理的另一种证明。
As its application, we give a new proof of the existence theorem of prime models.
期望效用函数存在定理是期望效用理论中最重要的定理。
The existence theorem of expected utility function was the most important conclusion in expected utility theory.
对于非线性四阶两点边值问题建立了一个孪生正解的存在定理。
An existence theorem of twin positive solutions is established for a nonlinear fourth-order two-point boundary value problem.
接着，仿微分几何的曲线论，建立了基本公式和唯一存在定理。
Then the basic formulae and the theorem on its unique existence have been established as doing in the curve theory in Differential Geometry.
在L -凸空间中，证明了定性博弈和广义博弈的均衡存在定理。
We obtain equilibrium existence theorem of generalized games in L-convex space, where the preference correspondence is L_S-majorized mapping.
本文对“双无限”生灭拟Q矩阵，得到了生灭Q过程的存在定理。
In this paper, an existence theorem of Q-processes for the both infinite case is established.
在拓扑矢量空间的非紧设置下证明了拟平衡问题解的某些存在定理。
Some existence theorems of solutions for the quasi equilibrium problems are proved under noncompact setting of topological vector spaces.
首先提出了数论中的原根成对存在定理，并进行了详细的数学证明。
In this paper, a theorem of primary root exists as a couple in the Number Theory was suggested, and detailed mathematic proof was given.
商品的边际替代率和最优解存在定理的介绍则是对前面理论部分的延伸。
The marginal rate of substitution of goods and the existence theorem of the optimal solution is to introduce some of the previous extension of the theory.
基于多层神经网络映射存在定理，建立近似结构分析的人工神经网络模型。
Based on the theorem of the existence of multilayered neural network mapping, a model of artificial neural network is set up for approximate structural analysis.
这个存在定理说明只要非线性项满足某种线性增长条件该方程至少有一个解。
The existence theorem shows that the equation has at least one solution provided the nonlinear term satisfies a linear growth condition.
研究了二参数正交增量鞅的平方变差和混合积分，证明了平方变差的存在定理。
The quadratic variation and mixed integrals of the martingales with orthogonal increments are studied. The theorem for the existence of quadratic variation is proved.
在第二章中，证明了某些关于较好容许映像的新的极大元存在定理和重合点定理。
Chapter two, proves some new existence theorems of maximal elements and coincidence theorems involving better admissible mappings.
本文讨论了平均逼近，给出了四个定理，是对存在定理、特征定理，唯一性定理的补充。
This paper discusses average approximation and proposes four theorems which are the supplement for existence theorem, characteristic theorem and solitariness theorem.
提出了非线性大系统分散状态反馈和分散输出反馈的存在定理和基于比较原理的设计方法。
Some theorems of existing decentralized state and output feedback controllers for large scale nonlinear systems are proposed, while the algebraic algorithms are contracted also.
本文对于2 -距离空间引入了凸结构的概念，并由此得到一类非扩张映象的不动点存在定理。
In this paper we present a convex structure for 2-metric Spaces, and from this we get a fixed point theorem for a kind of nonexpansive mappings.
首先以分阶段的诺西肽发酵过程非结构模型为基础，根据隐函数存在定理进行辅助变量的合理选择；
Firstly, based on the staged unstructured model of Nosiheptide fermentation process, secondary variables were selected according to the implicit function existence theorem.
本文引进(JM)型算子的概念，并证明非线性增生算子和(JM)型算子随机方程的解的存在定理。
In this paper the concept of operators of type (JM) is introduced and the existence theorems for nonlinear random operator equations of accretive type and of type (JM) are proved.
我们利用边界层校正法以及微分不等式理论证明了解的存在定理，并构造出其解的一致有效渐近展开式。
Using the method of boundary layer correction and the differential inequality theory, we prove the existence theorem of solutions and construct the uniformly valid asymptotic expansions of.
建立了超线性二阶三个边值问题的一个正解存在定理。这里，非线性项是下有界的并且不需要是非负的。
An existence theorem of positive solution is established for a superlinear second-order three-point boundary value problem. Here, the nonlinear term is bounded below and need not be nonnegative.
利用拓扑度理论对一类非线性泛函差分方程周期解的存在性进行了讨论，得到该问题周期解的一个存在定理。
The existence of periodic solution to nonlinear functional difference equation is considered by using the topological degree, and a periodic solution of this problem is obtained.
在局部凸线性拓扑向量空间讨论了一种锥凸集值映射的锥次微分的存在性问题，证明了几个锥次微分的存在定理。
The problem of the existence of a cone subdifferential for the cone convex set valued maps in the locally convex, linear and topological vector space is discussed.
运用上确界与下确界存在定理，在一定条件下，研究了连续函数的映射特点，得到一个连续函数所独有的映射规律。
According to the definite condition, the paper USES the theorem of supremum and infimum to study characteristic of mapping function and get its important law of the mapping.
通过研究多项式的系数来确定整系数多项式的有理根，进而得出整系数多项式的有理根的一个判定定理和根的存在定理。
The paper available mapping of integral coefficient polynomial and rational number, obtain factorization from factorization of polynomial by the way of sieve in true fraction series.
佩雷尔曼的定理远远超过证明这些“不存在”的断言，正如怀尔斯证明的定理所告诉你的东西要多于一类方程不存在整数解这个结论。
Perelman's theorem goes far beyond proving this "non-existence" claim, just as Wiles' theorem tells you much more than non-existence of integer solutions of certain equations.
应用推荐