分次

Hybrid Dynamic; time-varying systems; finite horizon; optimal control; Quasi-Variational Inequality; viscosity solution; lower semicontinuous solution; uniqueness; Dynamic Programming; Viability Theory; inventory systems; mathematical model; proximal subdifferential; parabolic equation; nonlinear boundary

基础科学，数学，控制论、信息论混合动态；时变系统；有限时间；最优控制；拟变分不等式；粘性解；下半连续解；唯一性；动态规划；生存定理；库存系统；数学模型；邻近次微分；抛物型方程；非线性边界

Mid-culm branches 4 or 5; subequal, without secondary branching.

中间秆的分枝4或5；近等长，没有分开的二次。

In this paper, Melnikov's method is used to discuss a dass of equation governed by flickering on catalytic wires and in chemical reactor, the conditions of the existence of subharmonic bifurcation are obtained.

研究一类描述催化反应的flickering现象的动力系统，应用Melnikov方法对三种不同情形分别给出了系统存在次谐分枝的某些充分条件。

In this paper, by using the notable Mountain Pass Lemma of critical point theory, some sufficient conditions for the existence and multiplicity of periodic and subharmonic solutions to a class of second order nonlinear functional difference equations with Jacobi operators are obtained.

论文研究了一类具有Jacobi算子类型的二阶非线性泛函差分方程(1)的周期解和次调和解的存在性与多重性。首先将方程（1）的解的存在性问题转化为某个泛函临界点的存在性问题，然后验证此泛函满足著名的山路引理的条件，从而得到论文的主要结论。

Lamar Odom had another subpar game (four points in 32 minutes), and Andrew Bynum had as many points as fouls.

奥多姆打了一场让人惊讶的比赛，32分钟里得到4分，而拜纳姆的得分等于他的犯规数（4次）。

According to the need of optimization simulation, the seepage prevention substructure is for the first time presented and defined.

根据优化设计分析的需要，首次提出并定义了防渗子结构，并讨论了防渗子结构网格的划分模式及二次自动剖分。

A fast calculation approach for large-scale matrix operation, which can be accomplished by Graphic Processing Unit, was designed. For taking full advantage of the parallel architecture of GPU to enhance the calculation speed, special matrix partitioning and memory allocation mechanism according to the features of GPU were designed to decrease the frequency of data access. Meanwhile Kahan's summation formula was introduced to ensure the precision of the calculation.

设计了一种在图形处理器上完成大型矩阵快速运算的方法，主要通过使用Kahan求和公式来确保计算精度，根据GPU特点设计矩阵分块方式和内存分配机制来减少对数据访问频次，以发挥GPU的并行体系结构特性来提高计算速度。

Delaunay triangulation has been used to partition the selected extrema, then replaces the pixels that not contained in the Delaunay polygon through symmetry principle, which can restrain the variance phenomenon that appeared in the cubic spline interpolation.

利用Delaunay三角剖分方法对选取的极值点进行分划，对不包含在Delaunay多边形内的边界像素采用对称处理，抑制了3次样条插值过程中边界点变异现象。

The numerical results show that the secondary flow is enhanced in the cross section vertical to the mainstream for the revised burner, the gas tangential velocity component increases, and the rotational flow is intensified.

结果表明：改进后的燃烧器明显地增加了垂直于主流方向截面上的二次流，气体的切向分速度增大，旋流程度增强，能够有效地改善煤气和空气的混合效果。

80 cases of IBS (according to Rome-11 criteria) were divided into two groups randomly. The treatment group (including 28 D-D3S and 15 C-IBS cases) were treated with Xin-Chang Ning Mixture orally, and among the control group 33 D-IBS cases were treated with Berberin Tannate,14 C-IBS with Cisapride orally.

将符合罗马Ⅱ诊断标准的IBS患者80例，(腹泻型51例，便秘型29例)随机分为治疗组43例(腹泻型28例，便秘型15例)，对照组37例(腹泻型23例，便秘型14例)；治疗组给予心肠宁合剂口服，每日一剂，分三次服，每次100ml；对照组腹泻型给予黄连素口服，200mg，Tid，便秘型给予西沙比利口服，5mg，Tid。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。