凸子

A new definition on canonical convex multiplier is given with a canonical dual method for the primal problem. Some examples are illustrated.

给出了凸乘子定义，对偶定理和搜寻全局最优点的方法，并通过一些例子加以演示。

Furthermore, we determine the nonorientable crossing number sequences of those graphs by their crossing numbers on the projective plane and the embedding technique. Then we show that the nonorientable crossing number sequence of C(10,4) is non-convex.

利用子式理论的部分结果，证明了一些循环图C(10，4)，C(9，3)，C(8，3)在射影平面上的交叉数，再利用嵌入技巧，得到了它们的不可定向交叉数序列，并证明C(10，4)的不可定向交叉数序列不是凸的。

Keywords: pseudoconvex domains of higher dimensions;asymptotic estimates; CR mappings and their deformations;Yamabe operators

中文关键词：高维拟凸域；渐近估计；CR映射及其形变；CR-Yamabe算子

A fast extraction method of beer bottle rasied character is introduced in this paper. It is the technique combination of moving target tracking based on dynamic image sequence with edge detection algorithm for speeding up the processing of character extraction to meet the demand of on-line detection in industry. First dynamic image sequence is obtained with an area CCD camera, and the background frames are detected based on the coherence between the background and character image from the video and inevitability of background frames emergence.

运用基于动态图像序列的运动目标跟踪技术，结合图像边缘提取理论中的检测算子模板，提出了一种快速提取啤酒瓶凸性字符的方法：首先采用单个面阵CCD得到啤酒瓶字符的运动图像序列，然后利用背景在运动图像序列中的镜头突变性和出现的必然性，检测视频流中的背景帧，最后采用基于边缘检测的背景配准方法，得到运动图像和校正背景图像的差分图像，恢复出真正的运动物体。

The research is carried on from four aspects. One is, based on answering the above open problem on a finite dimensional Euclidean space by means of partially ordered theory, to research the existence of solutions, global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable-parameter three-step iterative algorithms for generalized set-valued variational inclusion problems by using - resolvent operator of set-valued mapping.Two is to consider the convexity, closedness and boundedness of the solution set of general set-valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory. Three is to discuss directly the existence of solutions by using analytical methods for set-valued mixed quasi-variational-like inequalities and suggest a class of direct variable-parameter three-stepiterative algorithms for solving generalized set-valued variational inclusions.

研究分有三个方面：一是借助于偏序理论在有限维欧氏空间中解决了上述公开问题，在此基础上利用集值映射的η-预解算子，研究了广义集值变分包含问题解的存在性、逼近解的全局误差界、参数唯一解的灵敏性，并提出了一类变参数三步迭代算法；二是借助于图收敛理论研究了一般集值变分包含问题解集的凸性、闭性和有界性以及参数解集的灵敏性；三是用分析的方法直接讨论了集值混合拟类变分不等式问题解的存在性并提出了一类求解广义集值变分包含问题的直接变参数三步迭代算法。

For compact hypersurfaces and highcodimension compact submanifolds initial data respectively, we prove that the flow hasa smooth solution for all time under almost optimal conditions. Those conditions arethat the second fundamental form on the initial submanifolds is not too large, the exter-nal force field, with its any order derivatives, is bounded, and the field is convex with itseigenvalues satisfying a pinch inequality.

我们分别对紧超曲面初值和高余维紧子流形初值证明了当初始曲率比较小，并且外力场除了要各阶导数一致有界外，还要满足凸性条件以及特征值的一个pinch条件时，这种热流的光滑解长时间存在。

This paper discusses the calculation formula of outline for disc cam about roller follower of linear motion along the axis,it analyses the maximum angle of pressure and position for disc cam,from several ordinary motions of follower constant speed motion,constant acceleration and constant deceleration motion,simple harmonic motion and pendulum motion.

从从动件几种常用运动规律—等速运动、等加速等减速运动、简谐运动和摆线运动入手，讨论了对心直动滚子从动件盘形凸轮廓线长度的计算式，分析了盘形凸轮的最大压力角及其位置。

Our methods are based on the the surjection of maximal monotone operators and the critical point theorem of convex functionals.

本文主要利用极大单调算子满射原理和凸泛函临界点理论对半线性抛物型方程在各种控制下的能控性进行了研究。

Based on the surjection of maximal monotone operators, we prove that some semilinear heat equations with weak Lipschitz nonlinear terms are exactly controllable by L〓 0, T: H〓(Ω control; Based on the critical point theorem of coercive convex functionals, we prove that some parabolic equations with Lipschitz nonlinear terms are globally approximately controllable and finite-dimensional exactly controllable by controls acting on mobile supports, and finally, we extend the results to parabolic equations in R〓.

首先利用极大单调算子的满射原理证明了半线性热方程在较弱Lipschitz条件下可通过L〓0.T；H〓(Ω控制实现精确能控。然后通过构造强制凸泛函并利用其临界点理论证明了带Lipschitz非线性项的抛物型方程可通过作用在在移动支集上的控制来实现整体近似能控与有限维精确能控，最后将整体近似能控与有限维精确能控结论推广到无界区域R〓上。

Not to inherit by right of primogeniture, gavelkind or borough English, or possess in perpetuity an extensive demesne of a sufficient number of acres, roods and perches, statute land measure (valuation 42 pounds), of grazing turbary surrounding a baronial hall with gatelodge and carriage drive nor, on the other hand, a terracehouse or semidetached villa, described as Rus in Urbe or Qui si sana , but to purchase by private treaty in fee simple a thatched bungalowshaped 2 storey dwellinghouse of southerly aspect, surmounted by vane and lightning conductor, connected with the earth, with porch covered by parasitic plants, halldoor, olive green, with smart carriage finish and neat doorbrasses, stucco front with gilt tracery at eaves and gable, rising, if possible, upon a gentle eminence with agreeable prospect from balcony with stone pillar parapet over unoccupied and unoccupyable interjacent pastures and standing in 5 or 6 acres of its own ground, at such a distance from the nearest public thoroughfare as to render its houselights visible at night above and through a quickset hornbeam hedge of topiary cutting, situate at a given point not less than 1 statute mile from the periphery of the metropolis, within a time limit of not more than 15 minutes from tram or train line (e.g., Dundrum, south, or Sutton, north, both localities equally reported by trial to resemble the terrestrial poles in being favourable climates for phthisical subjects), the premises to be held under feefarm grant, lease 999 years, the messuage to consist of 1 drawingroom with baywindow (2 lancets), thermometer affixed, 1 sittingroom, 4 bedrooms, 2 servants' rooms, tiled kitchen with close range and scullery, lounge hall fitted with linen wallpresses, fumed oak sectional bookcase containing the Encyclopaedia Britannica and New Century Dictionary, transverse obsolete medieval and oriental weapons, dinner gong, alabaster lamp, bowl pendant, vulcanite automatic telephone receiver with adjacent directory, handtufted Axminster carpet with cream ground and trellis border, loo table with pillar and claw legs, hearth with massive firebrasses and ormolu mantel chronometer clock, guaranteed timekeeper with cathedral chime, barometer with hygrographic chart, comfortable lounge settees and corner fitments, upholstered in ruby plush with good springing and sunk centre, three banner Japanese screen and cuspidors (club style, rich winecoloured leather, gloss renewable with a minimum of labour by use of linseed oil and vinegar) and pyramidically prismatic central chandelier lustre, bentwood perch with fingertame parrot, embossed mural paper at 10/- per dozen with transverse swags of carmine floral design and top crown frieze, staircase, three continuous flights at successive right angles, of varnished cleargrained oak, treads and risers, newel, balusters and handrail, with steppedup panel dado, dressed with camphorated wax: bathroom, hot and cold supply, reclining and shower: water closet on mezzanine provided with opaque singlepane oblong window, tipup seat, bracket lamp, brass tierod and brace, armrests, footstool and artistic oleograph on inner face of door: ditto, plain: servants' apartments with separate sanitary and hygienic necessaries for cook, general and betweenmaid salary, rising by biennial unearned increments of 2 pounds, with comprehensive fidelity insurance, annual bonus (1 pound and retiring allowance (based on the 65 system) after 30 years' service, pantry, buttery, larder, refrigerator, outoffices, coal and wood cellarage with winebin for distinguished guests, if entertained to dinner, carbon monoxide gas supply throughout.

505他并不想根据长子继承制、男子平分继承制或末子继承制，把那幢有着门房和马车道的男爵宅邪及其周围那一大片辽阔的英亩、路得和平方杆法定土地面积单位，（估价为四十二英镑的泥炭质牧场地，或者那座被描述为&都会中的田园&或&健康庄&的有阳台的房子或一侧与邻屋相接的别墅，继承下来并永久占有。他只巴望根据私人合同购买一所继承人身分不受限制的不动产：要坐北朝南的一座草屋顶、有凉台的双层住宅，房顶上装起风向标以及与地面相接的避雷针，门廊上要爬满寄生植物，橄榄绿色的正门最后一道工序漆得漂漂亮亮，赛得过马车。门上有着精巧的黄铜装饰。房屋正面是灰泥墁的，屋檐和山墙涂着金色网眼花纹。尽可能让房子耸立在坡度不大的高台上，从那圈着石柱栏杆的阳台上，隔着现在空着、将来也不得占用的牧场地，可以聎望四周的一片好景致。单是自己的庭园，就有五、六英亩之谱。它与最近的公路的距离适度：夜晚从修剪得整整齐齐的鹅耳枥树篱上端和缝隙间，可以瞥见室内的灯光，从首都边界的任何地点丈量，与这所房子相距至少也有法定一英里。不出十五分钟就可以轰电车或火车铁道沿线。（例如往南去登德鲁姆或往北去萨顿，就像是南北两极。经过验证，据说这两处气候都适合肺结核患者。）凭着继承人身分不受限制的不动产转让证拥有房屋和地基，租借期限为九百九十九年。宅邸里包括一间有着凸窗的客厅，一间起居室，四间卧室，两间仆役室。砌了瓷砖的厨房里还安装了多用途的铁灶和洗涤台，休息厅里备有放亚麻布床单衬衫用的壁橱，分成几层的氨熏橡木书柜，放着《大英百科全书》和《新世纪辞典），横陈着一把把中世纪或东洋的古老刀剑；还有通知开饭的锣，雪花石膏做的灯，悬垂着的饰钵，附有电话号码簿的胶木自动电话听筒；手织的阿克斯明斯特地毯，是奶油色质地，周围镶着棋盘图案。有着兽爪形柱脚的牌桌。壁炉装着大型黄铜格栅，炉台上摆着精密的镀金计时表，准确无误地发出大教堂那样的钟声，附有湿度计的晴雨表，蒙着鲜红色长毛绒面子、装着上等弹簧、中心部位富于弹性的舒适的长靠椅和放在角落里的备用椅，日本式三扇屏风，痰盂（俱乐部里摆的那种，用深紫红色皮革制成，只要用亚麻子油和醋一擦，不费吹灰之力就能发出光泽，焕然一新。）室中央悬挂一盏金字塔式枝形吊灯，射出灿烂的光辉。一截弯木上栖着一只驯顺得能停在手指上的鹦鹉，墙上糊着每打价为十先令的压花壁纸，印着胭脂红色垂花横纹图案，顶端是带状装饰；一连三段栎木楼梯，接连两次拐成直角，都用清漆涂出清晰的木纹，梯级、登板、起柱、栏杆和扶手，一律用护板来加固并涂上含樟脑的蜡；浴室里有冷热水管，盆汤、淋浴，设备俱全。位于平台上的厕所里，长方形窗子上嵌着一块毛玻璃，带盖的坐式抽水马桶，壁灯，黄铜拉链和把手，两侧各放着凭肘几和脚凳，门内侧还挂有艺术气息浓厚的油画式石版画。另外还有一间普通的厕所；厨师、打杂的女仆和兼做些细活的女佣的下房里也分别装有保健卫生设备（仆役的工钱每两年递增两英镑，并根据一般忠诚勤劳保险，每年年底发奖金一英镑，对工龄满三十年者，按照六十五岁退职的规定，发退职金）；餐具室、配膳室、食品库、冷藏库、主楼外的厨房及贮藏室等、堆煤柴用的地窨子里还有个葡萄酒窖（不起泡、亮光闪闪的葡萄酒），这是为宴请贵宾吃正餐时预备的。对整座楼房都供应一氧化碳瓦斯。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。