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This article incorporates robustness into a general convex conic optimization problem and shows its deterministic equivalence under the D-duality framework, in which one needs only to compute a D-induced convex cone, which is generally difficult.

本文把不确定性考虑进凸锥最优化问题,在D-对偶理论的框架内把原问题的确定性等价问题表示出来了。对于这样的问题,我们只要计算一个D-对偶锥就可以了。

In the first part of this paper, we gave several different definition of convex functions and equivalent proposition.

本文首先归纳总结了凸函数的几个不同的定义,并说明其等价性。

In this thesis, it is shown that the characterizations for DRHR class in Shaked and Shanthikumar (1994) are in fact sufficient conditions by a counter example. Sufficient conditions for DRHR and IMIT classes are given.

本文首先通过反例指出了Shaked and Shanthikumar(1994)对DRHR类的等价刻画实际上为其充分条件,然后利用休止时间给出了DRHR和IMIT类的充分条件。

Moreover, the conjecture in the case of a block with cyclomatic number 2 is confirmed by constructing a Hamilton cycle .

本文给出了"简单图的邻接树图是哈密尔顿图"猜想的等价命题,阐明只需证明该猜想对 2 -连通图成立即可。

Then, based on credibility theory a new kind of fuzzy two-stage minimum-risk model is proposed and its deterministic equivalent programming problems are discussed.

其次,以可信性理论为基础,建立一类新的模糊两阶段最小风险模型并讨论其确定性的等价规划问题。

An algorithm for the model using the diagonalization algorithm and MSA algorithm was also proposed. The equivalence and uniqueness of solution of the proposed model were demonstrated.

证明了模型的等价性和解的唯一性,并利用对角化算法和MSA算法设计了模型求解算法。

As the special characteristic of nonlinearity, several notions are introduced and used in this paper, such as differential manifold, vector field, diffeomorphism, tangent space, topological equivalence. Stable manifold and unstable manifold are also introduced.

针对非线性的特殊性,本文专门介绍了非线性中几个比较特殊的概念,如微分流形、向量场、微分同胚、切空间以及等价关系等,对稳定和不稳定流形也作了介绍。

The technical failure lies in ignoring the surge slot capacitor parallel connection with low value water cooling electric resistance,and induce abnormal power diffluence wasting.

技术上曾经的失误在于,因疏忽导致了不合理的振荡槽路电容等价并联低值冷却水路水电阻,形成异常功率分流附加损耗问题。

The maximum length to thickness ratio of laminar dispersed phase was ab...

形成的层状结构长厚比最大约为9:1,最终分散相球状液滴的平均等价直径约为2.78μm。

In the selection of the subcategory of verbs and material classifiers, but disyllabic adjectives are free at their selection.

通过单双音节形容词的选择性考察,说明二者在语用上并不完全等价,单音节形容词往往受到较多的限制。

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The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作:对伸臂位于顶部的单层框架—筒体模型进行分析,提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。

Its advantage is that it can be used in smaller units.

其优点在于可以在较小的单位中应用。