给出了齐次规划问题KKT点的一个等价性质，采用对约束函数k次方的方法得到齐次规划问题的一个局部鞍点。
When the object and constraint functions are continous, it shows the relations of KKT points and local saddle-points.
这个过程并没有改变物体的基本性质：变形后仍等价于原始形态。
This does not change the object's essential properties: the transformed shape is equivalent to the starting shape.
根本上说，以下性质是等价的，一个向量场是梯度场，等价于积分与路径无关，也等价于向量场是保守的。
And, basically, we say that these properties are equivalent being a gradient field or being path independent or being conservative.
答案是不可能，两个性质是等价的，现在就来看看。
The answer is no; these two properties are equivalent, and we are going to see that right now.
这个反自反性质可以用来建立一个等价关系(equivalence relation)—也就是，对于Keysa和b来说，如果comp(a,b)为false并且comp(b,a)也为false，那么我们就说a和b是等价的。
This irreflexivity can be used to set up an equivalence relation—that is, for Key s a and b , if comp(a, b) is false and comp(b, a) is false , then a and b must be equivalent.
运用微积分的方法，对基本初等函数的若干特征性质进行了证明。从而给出了基本初等函数的等价表征。
This paper, using the method of differential equation, proves some characters properties of basic elementary function, and then concludes an equivalent representation about basic elementary function.
渐近鞅型序列具有很好的性质，本文给出实值渐近鞅的四个等价命题，并应用停时理论对它们予以证明。
Amarts have very good properties. This paper gave the four equivalent propositions of R-Value's amart and their proofs by utilizing the theory of stopping time.
本论文从可分(非纠缠)性的判别及局域幺正变换下的不变量的等价类的角度来研究量子纠缠的性质。
We have investigated the properties of entanglement by criterion of separability (non-entanglement) and equivalence of quantum states under local unitary transformations.
通过利用抽取滤波器的等价变换和多项分解性质，各滤波器级的硬件电路开销和运行功耗都得到了降低。
By utilizing equivalent transformation and polyphase decomposition of the decimation filter, both hardware cost and operating power of each sub-decimation filter were also reduced.
摘要在L-拓扑空间中，定义了超分离性，并给出它的一些等价刻画，讨论了它们的性质。
In L-fuzzy topological spaces, ultra separation axioms were defined, some characterization of them were gvien, and their properties were discussed.
货币理论揭：示了货币演变的历史逻辑：从自由货币到国家货币再到世界货币，是货币“一般等价物”性质的螺旋上升过程。
Currency theory demonstrates the historic logic of its transformation from free currency to national currency then to global currency. It's a spiral progress of "general equivalents".
研究互补二元阵列族的性质，给出了互补二元阵列族与差族的等价关系，进而给出了互补二元阵列族存在的的必要条件。
The properties of complementary binary arrays families (CBAF) are studied. The relationship between CBAFs and differences families and the necessary conditions of existence of CBAFs are given.
本文定义了完全可逆矩阵，并给出它的一个等价条件及其一些性质。
This paper defines totally nonsingular matrix and get its equivalent condition and some qualities.
本文对一致空间上的群作用，用等度连续性刻画了几乎周期的性质，并且论证了一致等度连续的群作用拓扑等价于一等距的群作用。
We characterize almost periodicity with equicontinuity, and prove that if the group is uniform equicontinuous then it is topologically equivalent to an isometric one.
根据模糊等价关系的性质，推得模糊等价关系矩阵的两个性质。
The two properties of the matrix of fuzzy equivalence relation are proved according to the property of fuzzy equivalence relation .
本文赋予超空间2x局部有限拓扑，并讨论此空间的一些局部覆盖性质。证明2 X中的某些覆盖性质等价于局部性质。
In this paper, we discuss some local covering properties of 2 X with locally finite topology, and prove that some covering properties are equivalent to local properties in 2 X.
讨论了该模型与广义统计最优化模型的等价性以及其他主要性质。
The equivalence between this method and the general statistical optimization method is discussed, and the main features of the model are given.
给出了它的一些新的等价刻画和性质。
Some new characterizations and properties of exchange general rings are given.
提出关联矩阵的性质，推导出同型机构和等价关联矩阵关系的定理。
This paper also proposes the qualities of adjacency matrix, derives the theorem of the relations between isomorphism and equivalent adjacency matrix.
给出了一致连续偏序集的概念及其性质和等价刻划。
The notions of uniform complete partial order sets and uniform continuous partial order sets are defined.
给出了一致连续偏序集的概念及其性质和等价刻划。
The notions of uniform complete partial order sets and uniform continuous partial order sets are defined.
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