数环

Then it simplifies the proof of division ring of quaternion .

从而简化了四元数作为除环的证明。

Its universality: its democratic equality and constancy to its nature in seeking its own level: its vastness in the ocean of Mercator's projection: its unplumbed profundity in the Sundam trench of the Pacific exceeding 8000 fathoms: the restlessness of its waves and surface particles visiting in turn all points of its seaboard: the independence of its units: the variability of states of sea: its hydrostatic quiescence in calm: its hydrokinetic turgidity in neap and spring tides: its subsidence after devastation: its sterility in the circumpolar icecaps, arctic and antarctic: its climatic and commercial significance: its preponderance of 3 to 1 over the dry land of the globe: its indisputable hegemony extending in square leagues over all the region below the subequatorial tropic of Capricorn: the multisecular stability of its primeval basin: its luteofulvous bed: its capacity to dissolve and hold in solution all soluble substances including millions of tons of the most precious metals: its slow erosions of peninsulas and islands, its persistent formation of homothetic islands, peninsulas and downwardtending promontories: its alluvial deposits: its weight and volume and density: its imperturbability in lagoons and highland tarns: its gradation of colours in the torrid and temperate and frigid zones: its vehicular ramifications in continental lakecontained streams and confluent oceanflowing rivers with their tributaries and transoceanic currents, gulfstream, north and south equatorial courses: its violence in seaquakes, waterspouts, Artesian wells, eruptions, torrents, eddies, freshets, spates, groundswells, watersheds, waterpartings, geysers, cataracts, whirlpools, maelstroms, inundations, deluges, cloudbursts: its vast circumterrestrial ahorizontal curve: its secrecy in springs and latent humidity, revealed by rhabdomantic or hygrometric instruments and exemplified by the well by the hole in the wall at Ashtown gate, saturation of air, distillation of dew: the simplicity of its composition, two constituent parts of hydrogen with one constituent part of oxygen: its healing virtues: its buoyancy in the waters of the Dead Sea: its persevering penetrativeness in runnels, gullies, inadequate dams, leaks on shipboard: its properties for cleansing, quenching thirst and fire, nourishing vegetation: its infallibility as paradigm and paragon: its metamorphoses as vapour, mist, cloud, rain, sleet, snow, hail: its strength in rigid hydrants: its variety of forms in loughs and bays and gulfs and bights and guts and lagoons and atolls and archipelagos and sounds and fjords and minches and tidal estuaries and arms of sea: its solidity in glaciers, icebergs, icefloes: its docility in working hydraulic millwheels, turbines, dynamos, electric power stations, bleachworks, tanneries, scutchmills: its utility in canals, rivers, if navigable, floating and graving docks: its potentiality derivable from harnessed tides or watercourses falling from level to level: its submarine fauna and flora, numerically, if not literally, the inhabitants of the globe: its ubiquity as constituting 90 percent of the human body: the noxiousness of its effluvia in lacustrine marshes, pestilential fens, faded flowerwater, stagnant pools in the waning moon.

50它的普遍性，它的民主的平等性，以及保持着它自身求平的本质。用墨卡托投影法在地图上所标示出的浩淼的海洋；太平洋中巽他海沟那超过八千噚的不可测的深度；永不消停、后浪推前浪地冲刷着海岸线每一部位的波涛以及水面上的微粒子；水的单位粒子的独立性；海洋变幻莫测；根据液体静力学，风平浪静时它纹丝不动；根据液体动力学，小潮大潮时它便涨了起来。暴风雨后一片沉寂；北极圈与南极圈冰冠地带的不毛性以及对气候及贸易的影响；跟地球上的陆地相比占三对一优势；它在亚赤道带南回归线以南的整个区域延伸无数平方海里的绝对权威；其在原始海盆里数千万年以来所保持的稳定性；它那橙红色海床；它那把包括数百万吨贵金属在内的可溶解物质加以溶解，并使之保持在溶解状态的性能；它对半岛和有下陷趋势的岬角所产生的缓慢的浸蚀作用；其冲积层；其重量、容积与浓度；它在咸水湖、高山湖里的静谧；其色调因热带、温带和寒带而变为或浓或淡；与陆上的湖泊、溪流及支流汇合后注入海洋的河川，还有横跨大洋的潮流所构成的运输网。沿着赤道下面的水路自北向南的湾流；海震、水龙卷、自流井、喷泉、湍流、漩涡、河水暴涨、倾盆大雨、海啸、流域、分水岭、间歇泉、大瀑布、漩流、海漩、洪水、泛滥、暴雨等滥施淫威；环绕陆地的上层土壤那漫长的曲线；源泉的奥秘可用探矿杖来占卜或用湿度测定器来揭示；阿什汤大门的墙壁上的洞、空气的饱和与露水的蒸发能够证明那潜在的湿度；水的成分单纯，是氢二、氧一的化合物；水的疗效；水的死海里的浮力；它在小溪、涧谷、水坝的缝隙、船舷的裂口所显示的顽强的浸透性；它那清除污垢、解渴、灭火、滋养植物的性能；作为模范和典型，它的可靠性；它变化多端：雾、霭、云、雨、麦、雪、雹；并在坚固的消防龙头上发挥出压力；而且千姿百态：湖泊、湖岔、内海、海湾、海岬、环礁湖、环状珊瑚岛、多岛海、海峡、峡江、明奇、潮汐港湾、港湾；冰河、冰山、浮动冰原显示出它是何等坚硬；在运转水车、水轮机、发电机、发电厂、漂白作坊、鞣皮厂、打麻厂时，它又是那样驯顺；它在运河、可航行的河川、浮船坞和干船坞所起的作用；潮汐的动力化或利用水路的落差使它得以发挥潜力；海底那些成群的动物和植物虽然并非名副其实地栖息在地球上，论数目却占地球上生物的一大半；水无所不在，占人体的百分之九十；在沼泽地、闹瘟疫的湿地、馊了的花露水以及月亏期那淤积污浊的水塘子，水所散发的恶臭充满了毒气。

The company's main products: color detection instruments: Glossiness Miriam, Miriam color spectrophotometry, standard light source for color light box, transmissioní°Miriam, Miriam orange peel, fresh young tester; surface coating physical properties testing instruments: Coating thickness, wet film thickness, temperature tracker, surface humidity instrument, dewpoint meter, roughness instrument, electric spark pinhole leak detectors; Detect mechanical properties of surface coating equipment: zoned grid, and pencil hardness tester , impact tester, hardness testing sticks, Latvia Law / hydraulic adhesion tester, abrasion tester, cylinder / cone bending tester, cups sudden device, surface tension instruments, scratch pen, indentation hardness tester, etc.; paint coating equipment dedicated category: fineness board, drying time recorder, wet adhesion tester, paint ohmmeter, PH, the coating device, mixer, bead mill, mixer, spray gun, putty detector Miriam, white tester, iron cobalt colorimeter, moisture titrator; viscosity-type equipment: Viscosity Cup, density cup, bubble viscosity tube viscometer, infiltration cup rheometer, viscosity units conversion meter; laboratory standard consumables: Mitsubishi pencil tests, 3M adhesive tape test, RCA tape, rubber, the hiding power test paper for color tubes, microscopes dedicated LED ring light source, transfer ink knife and ink scraper, brush, Color Card, gray cards, zirconia beads, glass beads, pieces of cement mortar, the standard of fly ash, the standard viscosity fluid, stopwatch, chemical industry-standard compilation of manuals, paint paint testing manual; test standard Material: tin plate, steel plate, aluminum sheet, asbestos-cement pressure plate, Eterpan, glass, maple panels, MDF, copper film, polyester film, copper; measuring meter and optical instruments: digital calipers, micrometer, dial gauge a high scale, depth gauge, thickness gauge, diameter gauge, gauge block, magnifiers, microscopes, projectors, video measuring instrument; environmental test equipment: oven, constant temperature and humidity box, hot and cold circulating water bath, salt spray test chamber, high temperature resistance furnace, fluorescent UV aging chamber, xenon lamp aging chamber; electronics equipment: infrared thermometer, multimeter, clamp sheet, thermal imager, temperature and humidity meter; anti-static instruments: static tester, surface resistivity device, flat-panel monitor, anti-static footwear tester, wrist strap tester, body Tester; other types of instruments and equipment: torque tester, temperature and humidity recorder, push pull, the vibrometer, speed instrument, analytical balance, industrial Scale Units, dust particle counter, X-ray fluorescence coating thickness measurement and elemental composition analyzer, and so on.

公司主营产品：外观颜色检测仪器：光泽度仪、分光色差仪、标准光源对色灯箱、透射雾影仪、桔皮仪、鲜映性测试仪；表面涂层物理性能检测仪器：涂层测厚仪、湿膜测厚仪、炉温跟踪仪、表面湿度仪、露点仪、粗糙度仪、电火花针孔检漏仪；表面涂层机械性能检测仪器设备：划格器、铅笔硬度计、冲击试验仪、硬度试验棒、拉脱法/液压式附着力试验仪、耐磨耗试验机、圆柱/圆锥弯曲试验仪、杯突仪、表面张力仪、划痕笔、压痕硬度计等；涂料油漆类专用仪器设备：细度板、干燥时间记录仪、湿附着力耐擦洗试验仪、油漆电阻计、PH计、涂膜器、混合机、珠磨机、搅拌机、喷枪、腻子测定仪仪、白度仪、铁钴比色计、水份滴定仪；粘度类仪器设备：粘度杯、密度杯、气泡粘度管、粘度计、渗透杯、流变仪、粘度单位换算计；实验室标准消耗品：三菱测试铅笔、3M测试胶带、RCA纸带、橡皮条、遮盖力测试纸、对色灯管、显微镜专用LED环型光源、调墨刀、墨铲、狼毫刷、色卡、灰卡、锆珠、玻璃珠、水泥砂浆块、标准粉煤灰、标准粘度液、秒表、化学工业标准汇编手册、涂料油漆测试手册；测试级标准基材：马口铁板、钢板、铝板、石棉水泥加压板、埃特板、玻璃板、枫木面板、中纤板、紫铜片、聚酯膜、铜棒；量具量仪及光学仪器：数显卡尺、千分尺、千分表、高度尺、深度规、厚度规、内径规、量块、放大镜、显微镜、投影仪、影像测量仪；环境测试设备：烘箱、恒温恒湿箱、冷热循环水浴、盐雾试验箱、高温电阻炉、荧光紫外老化试验箱、氙灯老化试验箱；电子类仪器：红外测温仪、万用表、钳形表、热像仪、温湿度仪；防静电仪器：静电测试仪、表面电阻仪、平板监测仪、防静电鞋袜测试仪、手腕带测试仪、人体综合测试仪；其他类仪器设备：扭力测试仪、温湿度记录仪、推拉力计、测振仪、转速仪、分析天平、工业台秤、尘埃粒子计数器、 X-射线荧光涂层测厚和元素成分构成分析仪，等等。

algebra ; general solution ; matrix solution ; program ; Euclidean algorithm ; MATLAB

1通解与算法数域F}多项式环厂刘上多元一次不定方程组的一般形式为

Based on skeleton graphics, a handwritten Chinese character is defined as a set of isolated branch, isolated loop and component. Relation among these three elements is also defined, and then a mathematical model is raised.

针对小类别数手写汉字，在骨架图形的基础上，把手写汉字看作孤枝、孤环和部件的集合，并定义三者之间的方位关系，从而建立手写汉字的数学模型。

This paper is focus on small set character recognition. Based on skeleton graphics, handwriting Chinese character is defined as a set of isolated branch, isolated loop and component.

本文针对小类别数手写汉字，在骨架图形的基础上，把手写汉字看作孤枝、孤环和部件的集合，并定义三者之间的方位关系，从而建立手写汉字的数学模型。

This article continues to study the application of rough set theory rough and algebra system -group, rings to combine research. So that rough algebra system is built better perfectly.

本文继续将粗糙集理论与代数系统——群、环理论结合起来进行研究，以此建立比较完善的粗糙代(来源：0cbdAcbBC论文网www.abclunwen.com)数系统。

It is a layer of guanine crystals which glow at night.

这是的氨基羟尿环水晶层数发光在晚上。

So far there are six serious of main products:outdoor lamps;chandeliers;crystal lamps;ceiling lamps;energy saving lamps and guest-room lamps.We have been undertaking hundreds of engineering projects,big and small,for star-class hotels at home and abroad,having won good remarks for its superior quality and novel style. the company has obtained CE certificate for Europe, ISO9001 certificate of 2000 edition,"3C" certificate of compellent product of china ,"GS" safety certificate of Germany .

现公司生产有户外灯、花灯、水晶灯、环型灯、节能灯、客房灯等六大系列，曾承接国内外星级宾馆、饭店等灯饰工程数百项，以其高品质、新款式而受到国内外用户的一致好评，公司一贯重视产品质量，建立了完善的质量管理体系，几年前已通过ISO9002认证，现已通过了德国莱菌公司TUV(ISO9001：2000版)质量认证，产品安全认证通过CE认证、3C认证、GS认证，公司产品先后被中国名优名牌推广中心。

An unsteady aerodynamic model based on Fourier analysis is developed in the frequency domain with the theory of system identification and the experimental data of large amplitude harmonic oscillation. This unsteady aerodynamic mathematical model is used to extract dynamic derivatives, and the meaning of a time-lag loop is analyzed.

应用系统辨识理论，利用纵向大振幅非定常气动力实验数据，在频率域内建立了基于Fourier变换法的非定常气动力数学模型，并发展了一种获取常规动导数的仿真实验方法，分析了迟滞环的物理意义。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。