在较弱条件下研究了凸闭曲面的调和映射问题。
In this paper, under some weak conditions, we have discussed the harmonic mappings of sur-faces.
在较弱条件下证明了所获得的估计的强相合性，并给出了收敛速度。
And the strong consistency of the parameters estimation in this model is proved under some weaker conditions. It is also given that almost sure convergence rate of these estimates.
本文提出一类求解无约束优化问题的非单调曲线搜索方法，在较弱条件下证明了其收敛性。
This paper presents a non-monotone curve search method for unconstrained optimization problems and proves its convergence under some mild conditions.
用集合的近似凸性研究函数的拟凸性。在较弱假设下，获得了拟凸性的一些等价条件。
Quasiconvex functions are studied by applying nearly convexity of sets. Under weaker assumptions, some equivalent conditions for quasiconvexity are derived.
用集合的近似凸性研究函数的预不变凸性，在较弱的假设下获得了预不变凸性的一些等价条件。
Preconvex functions are studied by applying nearly convexity of sets in this paper. Under weaker assumptions, some equivalent conditions for preconvexity are derived.
在较弱的条件下，获得了算法的全局收敛性定理。
Under very mild conditions, the algorithm possesses global-convergency.
运用零状态可探测概念，给出了镇定从驱动系统相对较弱的充分条件。
The relative weaker sufficient conditions of stabilizing a class of driven-driving systems by using the concept of zero-state-detectability are put forward.
最后，在较弱的假设条件下，讨论了G -凸空间中的重合点组定理与极大极小组定理，从而推广了近期文献的相关结论。
At last, we establish systems of coincidence theorem and system of minimax theorems in G-convex under weaker assumptions. Our results generalize the corresponding results in recent literature.
本文在一个较弱的条件下证明了关于最大公因子矩陈与因子封闭集的关系的一个猜想。
This paper gives a proof of a conjecture on the relation between the greatest common divisor matrix and the factor closed set under a certain condition.
另外在较弱的条件下，证明该方法具有超线性收敛性。
We also prove that the method has superlinear convergence rate under some mild conditions.
设为随机变量序列，文章在较弱的混合速度且非同分布的条件下证明了其完全收敛性的一个结果。
Let be a -mixing random variable sequence, and it is proved to be a theorem of complete convergence under the condition of slow mixing speed and non-identity distribution.
水解条件对水解度有较明显的影响，但是平均分子量和正电荷肽相对含量的影响较弱。
Hydrolyzing conditions affect DH markedly but have only weak influence on average molecular weight and positively charged peptide content.
在此较弱的条件下，本文不仅给出了平稳分布存在与唯一性的简洁证明，而且还给出了平稳分布的计算方法。
Under this weak condition, this paper gives not only a concise proof of the existence and uniqueness of the stationary distribution, and also the the computation method of the stationary distribution.
这里，算子B满足较弱的条件如B本征有界。
Here, operator B satisfies relative weak conditions such as B satisfies essence bounded.
光刺激作用主要集中在视网膜中央窝的条件下，等亮度较弱的红光与绿光之间暗适应时间无显著差异。
When light stimulus was weaker and concentrated on central vision, there was no significant difference between a red light and a green light in the aspect of dark adaptation.
然后，我们证明：在较弱的条件下，从决定性的初始产综出发，齐次的随机模型必定走向崩溃。
Then, we prove that under some weaker assumptions, the homogeneous Stochastic models starting from a deterministic initial vector should go to collapse with probability one.
与文献中的结果进行比较，发现各种条件下的电晕放电的可见光区辐射强度一般都比较弱，而紫外区与红外区辐射的强弱则与具体的放电条件有关。
Compared with the results in the literature, it was found that the visible radiation intensity is usually weak, while ultraviolet and infrared radiation intensities depend on the discharge conditions.
某些比赛中允许对较弱选手的一种有利条件，如网球中的让分，槌球游戏中的外加局或高尔夫球中的追加击球。
An advantage allowed an inferior player in certain games, such as a free point in tennis, an extra turn in croquet, or an additional stroke in golf.
在较弱的条件下，得到了较小的残差集。
在较弱的条件下得到了较小的残差集，从而提高了控制系统的鲁棒性。
A smaller residual set is obtained in the more weak conditions, and the robustness of th.
文中所述方法有比较好的适应性，尤其是对在较弱地基等困难条件下的桥梁施工有一定的参考价值。
The method described in this paper has better suitability, especially has certain reference value for constructing Bridges under the difficult conditions, such as with weak ground, etc.
在一定条件下，水动力弥散作用较弱时，可应用突变界面模型来研究滨海含水层的海水入侵。
Under certain conditions, the effect of hydrodynamic dispersion is relatively weak, so that an abrupt interface approximation can be used in studying seawater intrusion in coastal aquifers.
野核桃林土壤在长期特定的生物、气候条件下，其腐殖化过程和钙积化过程明显，粘化过程较弱。
The humic process and calcific process are obvious in wild walnut forest soils, but it is weak in argillic process.
在较弱的条件下，证明了算法的全局收敛性。
The global and superlinear convergence of the method is obtained under very mild conditions.
在较弱的条件下，我们证明了算法的全局收敛性。
Under weaker assumptions, we prove the global convergence properties of the method.
在较弱的条件下，建立了可加分量最近邻估计和核估计的平均偏差的指数界。
Under mild conditions the exponential bounds of mean error for these estimates are established.
结果表明，在测试条件下，生物质气化产物中含氮组分浓度主要取决于气化温度，而当量比的影响相对较弱一些。
The results showed that, comparing with the equivalence ratio, the gasification temperature has a more obvious influence on the nitrogenous species concentrations.
在比较弱的约束条件下，给出了最小方差控制方案、控制律及自适应控制算法。
Under the mild conditions, control scheme, control law and control algorithm are given.
在比较弱的约束条件下，给出了最小方差控制方案、控制律及自适应控制算法。
Under the mild conditions, control scheme, control law and control algorithm are given.
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