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In this paper, the bump patterns for flip-chip packages are discussed first, then an experiment is setup to study the dispensing phenomena for different bump patterns, and the CAE software is used to analyze and identify with experiment mutually. From these thorough comparisons and analytical analysis, the existence of channel could slow down the flow, the high density of bump could speed up the flow, and it could avoid the air trap by modified the bump and channel's arrangement on flip-chip package. Then flows in rectangular microchannels driven by capillary force and gravity are discussed; furthermore, the theoretical model of flow in microchannel driven by capillary force and gravity is formulated from the Navier-Stokes equations.

本文首先针对覆晶底部充填进行相关理论推导、实验与模拟,探讨不同凸块配置模型所造成的波前不平滑现象对底部充填流动的影响;即依据相关参数建立模型进行底部充填实验,同时以CAE(Computer-Aided Engineering)模流分析软体进行模拟,在完成理论探讨、实验与模拟分析之后,交叉比较理论、实验与模拟分析结果,归纳出影响底胶充填流动之因素,由结果显示在凸块密集度较高的区域,凸块可以帮助流动,但是在凸块区后方的沟槽区域则因为凸块区所提供之流量不足,所以会造成波前落后的现象,另外藉由修改凸块与沟槽配置的关系,可以有效的控制波前形状的变化情形,避免产生包风现象。

The first conductivity base board comprises: a base material, a first projection, a second projection and a light spacer; the first projection and the second projection are installed on the base material with central line symmetry, the second projection is the image structure of the first projection relative to the central line.

第一导电基板包括一底材、一第一凸块、一第二凸块及一光间隔物,第一凸块及第二凸块以对称于一中心线的方式设置于底材之上,第二凸块为第一凸块对应于此中心线的镜射结构。

Furthermore, the first-order optimality condition and its equivalent reformulations for generalized semi-infinite max-min programming with a non-compact set are presented using the lower-Hadamard directional derivative and subdifferential.2. Chapter 3 studies the gradient-type methods for unconstrained optimization problems. Section 1 proposes a new class of three-term memory gradient methods. The global convergence property of the method is established. Furthermore, in order to improve the convergence property of the method, a new class of memory gradient projection methods is presented with the property that the whole sequence of iterates converges to a solution to the problem under the conditions such as pseudo-convexity and continuous differentiability of objective function. In section 2, two new classes of methods, called gradient-type method with perturbations and hybrid projection method with perturbations, are proposed. In these methods, non-monotone line search technique is employed, which makes them easily executed in computer.

第3章研究了无约束优化问题的梯度型算法,第1节提出了一类新的三项记忆梯度算法,讨论了算法的全局收敛性,进一步提出了一类新的具有更好收敛性质的记忆梯度投影算法,并证明了该算法在函数伪凸的情况下具有整体收敛性,第2节在非单调步长搜索下提出了带扰动项的梯度型算法及其混合投影算法,这两类算法的一个重要特征就是步长采用线搜索确定而不象许多文献中那样要求步长趋于零,这样更容易在计算机上实现,在较弱的条件下证明了这些算法的全局收敛性,数值算例表明了算法的有效性。

In this paper, we introduce the definition of convex function by the aid of convex set.

本文首先借助于凸集概念引出凸函数定义,揭示凸函数概念与凸性这一几何性质的联系。

The maximum principle of the optimal control for the stochastic systems described by Zakaj stochastic partial sifferential equationis proved by approximately minimum point theorem of E. Ekeland. The convexity and compactness of the set of control values is not assumed, and it is not necessary for the maximum principle about differentiability in control variables included in drift term of the stoch astic system and the integrand in index functional, and costate process satisfies the stochastic partial ...

在不假便定控制变量取值的集合是凸的和紧的,不要求随机系统的漂移项和指标泛函的被积函数关于控制变量具有可微性的情况下,用E,Ekeland的近似极小点定理证明了Zakai随机偏微分方程描述的随机系统的最优控制的最大值原理,和用很简洁的方法证明了协态过程满足一个随机偏微分方程。

When the edges of a convex polygon are traversed along one direction, the interior of the convex polygon is always on the same side of these edges, a new algorithm for computing the convex hull of a simple polygon is proposed first, which is then extended to a new algorithm for computing the convex hull of a planar point set.

本文依据凸多边形的这一特性,提出求解简单多边形凸包的新算法,进而扩展得到求解平面点集凸包的新算法。新点集凸包算法先找到点集的极值点,得到极值点间的候选点子集,再求得相邻极值点间的有序凸包点列,最后顺序连接极值点间的有序凸包点列,得到凸包。

Graceful and lithe breed of terrier known for its uniquely tassled and outward curving ears and for its lamblike face and body; coat is crisp, curly, and short and can be white, blue, tan, sandy, or liver in color; long ears are triangular with rounded balls at tips, and they hang down the side of the head, sometimes ending in an outward curl; tail is ratlike; eyes are round, small, and very dark; adult stands 15 18 in.(38 46 cm) tall at shoulders and weighs 17 23 lbs (8 10 kg); originally known as the Rothbury terrier; developed in Northumberland, England, in late 1700s or early 1800s as a game terrier by miners and nailmakers, who used this breed to catch badgers, foxes, otters, and vermin; hunts using its keen eyesight; later adopted as a good house companion by the upper classes; lively, tireless, and dutiful demeanor; considered a kind-hearted and devoted companion

贝德灵顿厚毛犬属于优美的,柔软的小猎犬品种,以其独一无二的往外突出的小杯般的耳朵以及小羊羔般的脸蛋和身体而闻名;皮毛整洁干净,卷而短,有白色,蓝色,黄褐色,淡茶色,肝红色;长长的耳朵呈三角型在尖端有小球围绕,挂在头部的两边,有时候以外凸的卷曲的皮毛为结尾;尾巴颇似老鼠尾巴;眼睛圆而笑,非常暗淡;成年站立肩高38—46公分,体重8—10公斤;贝德灵顿厚毛犬源于Rothbury小猎犬;发展于诺森伯兰郡,在18世纪末期,19世纪初期主要作为矿工和制针业者的一种娱乐小猎犬,它被用来捕捉浣熊,狐狸,水獭和害虫,有着锐利的视野;之后作为一种很好家庭伴侣犬被上层社会接纳,恭敬顺从不知疲倦的举止;被认为是一种乐于奉献的伴侣。

Feng Zhengjie has created a series of female portraits since 2001. These female figures are wearing green eye shadow, red lip stick, fashionable clothes and their hairs are burning like red flares. Here, one of his Chinese Portrait series is such a painting. The girl in the painting is pretty and sexy, while her eyes tell us that she is deeply lost in her unhealthy lifestyle.

俸正杰基本上都是以红色和绿色构成画面的主要色彩,人物塑造有脸谱化的特征:猩红的嘴唇、精心修剪的眉毛、细小迷离的眼珠等等,再加上同样猩红的背景和人为的光晕,使作品在视觉上有一种明显地向外凸的感觉,无论你接不接受,它会一下子跳到你的面前。

This paper studies on the layout problem of allocating the plugholes on the circular jack panel of a spacecraft,subject to the constraints of non intervention feasible domain,force of inserting and drawing the plugholes,bolts' fixing force and springs force etc.

研究航天器中一种复杂插座板上插孔的布局设计问题,简化为在圆形插板上,根据给定的 n个插头,考虑插座板的非凸的可布空间和插头的拔脱力、插座板的紧固螺栓力、边缘弹簧的弹簧力等约束情况下,布置其插孔位置。

By looking at the individual elements in any given backbend—such as examining the direction of movement of the shoulders,凸 arms,凊 torso,凳 hips and legs—we can deconstruct the posture and aligning,刨 strengthening and opening these individual regions to more refined by identifying particular areas of interest need in our students' bodies and focusing on these areas in class,凙 I call this "progressive sequencing" and it is different from "pose/ counter pose " sequencing.

通过关注每个后弯体式中独立的元素——例如检查肩膀、手臂、躯干、髋以及两腿的运动趋势——我们能够通过分解的方式来探究体式和学习校准;通过了解学生的身体中需要深化和发掘的独立的区域,凢强化并打开这些独立的区域,凉并且能够在课堂中专注于这些区域,刁我把这个叫做&渐进序列&,刘这与&体式/反体式&序列是不同的。刓

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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%。

However, to get a true quote, you will need to provide detailed personal and financial information.

然而,要让一个真正的引用,你需要提供详细的个人和财务信息。