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By using the theories and methods of impulsive,discrete and continuous dynamical system,arithmetic operators,optimiza-tion and numerical simulation,we study locally and globally asymptotieal stability of the boundary periodic solutions,and the permanence of the these systems.
以脉冲动力系统理论为基础,同时结合离散动力系统、连续动力系统、算子理论、优化理论等相关的理论和方法,在已有的研究成果的基础上,研究这些模型的边界周期解的局部和全局渐进稳定性、系统的持续生存、周期解的存在性与唯一性以及周期解的轨道稳定性等等。
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In this paper, we present a nonmonotone line search model algorithm for the nonsmooth composite minimization problems minhf(x, where each f: Rn→Rn is a locally Lipschitzian function, and h: Rn→R is a continuously differentiable convex function.
1引言考虑下面的复合极小化问题minF=hf(x,(1 。1)二〔丫其中f:R"一R"是局部Lipschitz函数,h:Rn一R是下有界的连续可微的凸函数。对于问题(l 。1),QIL、袁亚湘和孙文瑜等z1一
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The grids can be densified locally where the flow is complicated for the sharp change of water depth.(5) 2-D hydrodynamic equations in the generalized curvilinear coordinates have been derived with the contravariant velocities as main variables. The new equations keep the original styles and physical meanings. Based on the water depth correction method, the 2-D flow numerical model has been established and validated by the measured data.
推导了广义曲线坐标系下以逆变流速张量作为主变量的二维水动力方程,新方程保持原有结构形式及物理含义,采用水位校正法建立了二维水流数学模型,经实测资料验证后的模型,模拟并分析了分流角度、宽深比等因素变化对分汊流平面二维水流结构的影响。
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This text gives a research on some certain convergence in locally convextopological space, and a discussion on compactness of the sequence andCauchy sequence.
然后,文中对某种确定的收敛下的局部凸拓扑空间进行了研究,并对序列的致密性, Cauchy列进行了探讨。
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In the end of this text gives a description about the compactness of somecertain locally convex topological space with convergence and the completenessproblem.
某种确定的收敛下的局部凸拓扑空间以及凸拓扑下的紧性,完备性问题,在文章的最后给与了阐述。
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It investigates mainly the dualinvariant of λ- multiplier convergent series, the full invariant ofλ-multiplier convergent series, the λ- multiplier convergent series in spaceswith a basis, the compact sets in the infinite matrix topological algebras, thecharacteristics of have the same compact sets in different topologies,the weak sequentially completeness of , the characteristics ofSchur-matrices, the characteristics of p- uniform Toeplitz matrices and theEberlein-Smulian theorem in the locally convex spaces, etc.
主要研究了〓数乘收敛级数的对偶不变性,〓数乘收敛级数的全程不变性,有基空间中的〓数乘收敛级数,无穷矩阵拓扑代数〓中的紧集,〓在不同拓扑下具有相同紧集的刻划,〓的弱序列完备性,Schur—矩阵的刻划,p-一致Toeplitz矩阵的刻划以及局部凸空间上的Eberlein—Smulian定理等。
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Under some reasonable conditions, it is proved that the algorithm is locally and globally convergent.
在合适的条件下,证明了算法的全局收敛性和局部二次收敛性。
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The properties of the new method are that (1) the equations that the quartic Bézier curve has to satisfy for being C 2 continuous are strictly row diagonally dominant;(2) the discontinuous points of the curve are at the given data points;(3) the curve is locally adjustable;(4) if the given data points are convex, the constructed quartic Bézier curve is convex.
用样条函数方法构造插值样条曲线曲面,曲线曲面的精度和形状是由给定的数据点和端点条件唯一确定的。在有些情况下,例如,对文献 [7~ 9]中的数据点集,由样条函数方法构造的C2 插值曲线是不可接受的,但由于没有额外自由度,无法调整曲线的形状。
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Let X be a Banach space, be a locally convex linear topological space, C is a τ-sequence compact convex subset of X, and S an asymptotically nonexpansive type semigroups from C onto itself.
X是一Banach空间,是局部凸线性拓扑空间,C是X上的τ-序列紧凸集,S是C上的Γ类渐近非扩张型半群。
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Let X be a reflexive Banach space with both X and X locally uniformly convex. D is a bounded, open, convex subset of X. T∶D→X is a pseudo-monotone operator; C∶D→X is a compact or strongly continuous operator.
何震设X是自反Banach空间且X和X均为局部一致凸空间,D是X的开、有界、凸子集, T∶D→X是伪单调算子(pseudo-monotone), C∶D→X是紧算子或全连续算子。
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Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.
最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势,并设计了一款彩色夜视摄像机。
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Only person height weeds and the fierce looks stone idles were there.
只有半人深的荒草和龇牙咧嘴的神像。
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This dramatic range, steeper than the Himalayas, is the upturned rim of the eastern edge of Tibet, a plateau that has risen to 5 km in response to the slow but un stoppable collision of India with Asia that began about 55 million years ago and which continues unabated today.
这一引人注目的地域范围,比喜马拉雅山更加陡峭,是处于西藏东部边缘的朝上翻的边框地带。响应启始于约5500万年前的、缓慢的但却不可阻挡的印度与亚洲地壳板块碰撞,高原已上升至五千米,这种碰撞持续至今,毫无衰退。