度量幾何學 的英文怎麼說

中文拼音 [dùliángjīhéxué]
度量幾何學 英文
metric geometry
  • 度 : 度動詞[書面語] （推測; 估計） surmise; estimate
  • 量 : 量動1. （度量） measure 2. （估量） estimate; size up
  • 幾 : 幾代詞1. （多少, 用於詢問數量和時間） how many 2. （表示不定的少數目） a few; several; some
  • 學 : Ⅰ動詞1 （學習） study; learn 2 （模仿） imitate; mimic Ⅱ名詞1 （學問） learning; knowledge 2 （學...
  • 度量 : 1. （計量長短） measure; metric; mensuration 2. （寬容人的限度） tolerance; magnanimity
  1. Taking the contact stress, bend stress stiffness and temperature stress as the condition, taking the weight of the kiln tyre as optimization aim function, the redia and the width of the tyre are optimized general optimize methods just consider the affecting of the parameters to aim function, but in fact, structural parameters ( such as structure dimension, interval and so on ), physics and dynamics ( damp factor, conduct factor, friction factor material ' s elastic module strength limits and so on ), which would be changed after used. the difference are called discrepancy robust design ' s basic concept is : all design parameters " discrepancy will affect the aim funct ion and arouse the quality target discrepancy

    一般的優化方法，僅僅考慮了參數對其目標函數的影響，而實際情況下有些參數是變化的，產品的結構參數（如幾何尺寸、間隙等） 、物理和力學參數如阻尼系數、傳導系數、磨擦系數、材料的彈性模量和強度極限等的設計值與製造后和使用中的實際值會有差異，這種差異稱為設計變量和噪聲因素的變差。
  2. Reverse engineering is used widely in the field of science study, technology, biomedicine etc, and is used for settling the problem of geometric size measurement, transmogrification measurement, scathe measurement, surveilling the quality of manufacture, profile modeling, cad / cam, and physic diagnosis etc. in these techniques, the deformable active model is a hot point research

    反求工程技術廣泛應用於科學研究、工程技術與生物醫學等領域，以解決或輔助解決幾何尺寸度量、變形測量、振型測試、損傷測定、產品質量監控、實物仿形、 cad cam以及醫學診斷等諸多問題。在用於輪廓提取的技術中，可變形活動輪廓是目前國內外研究的熱點。
  3. Besides, this paper adopts the random finite element method, uses geometric and physical mechanical parameters that are relevant to lining weight of surrounding rock, coefficient of lateral pressure, height or buried depth of vertical loading, elastic resistance coefficients of surrounding rock, elastic modulus of support structure, unit weight of concrete, thickness of the structure as well as torsional strength and compression strength of concrete and etc., as random variables, applies the monte - carlo method to sampling by computer, preliminarily evaluates the reliability of bearing capacity and stability of molded concrete lining of the xuefeng mountain tunnel, and obtains the related displacement of the lining, mean value and variance of internal force, and computed the reliability index of lining structures

    此外，本文採用隨機有限元方法，將圍巖容重、側壓力系數、垂直荷載高度或埋深、圍巖的彈性抗力系數、支護結構的彈性模量、混凝土容重、結構的厚度以及混凝土的抗扭與抗壓強度等與襯砌結構有關的幾何與物理力學參數作為隨機變量，應用蒙特卡洛理論進行計算機隨機取樣，對雪峰山隧道模注混凝土襯砌的承載力與穩定性的可靠度進行了初步評估，得出了襯砌的相關位移與內力的均值和方差，並計算出了相應的襯砌結構可靠指標。
  4. Optimal design with three variables is then done to the elbow - bar mechanism of the mp1040b moulding machine by utilizing the method of punishing function for constraint problems and variational scale for unconstraint problems. the optimal target function is the maxium of gradient in one work travel for the moulding plank of the elbow - bar mechanism. the result shows that the maximal gradient of moulding plank in one motion period declines by 25. 7 after optimization, and the angular acceleration of the bottom moulding plank decreases greatly

    動力學分析中，各構件的質量和轉動慣量是通過pro / engineer軟體，先建立各個構件幾何模型而求得；然後，利用解決約束問題的罰函數法和處理無約束問題的變尺度法對mp1040b型模切機肘桿機構進行三個設計變量的優化設計，優化目標函數為肘桿機構的下模切板在一個工作行程中達到的最大傾斜程度；通過優化設計，模切機肘桿機構的下模切板在一個工作行程中的最大傾斜程度降低了25 . 7 ，其角加速度明顯減小，提高了模切機動力學性能。
  5. Moreover, popularizing such system is expected. the following works have been fulfilled within this thesis : first of all, based on the general principle of virtual displacement of nonlinear continuum mechanics, the geometric and material stiffness matrices is presented, several examples show that both of them can give out accurate result

    本論文主要完成了以下工作：首先，根據連續介質力學理論構造出的交錯桁架結構空間單元的幾何剛度矩陣和彈塑性剛度矩陣，算例分析表明這些矩陣能準確地計算出結構的空間二階效應和空間單元彈塑性桿端力增量，計算結果具有良好的精度。
  6. Harmonic maps between riemannian manifolds are very important in both differential geometry and mathematical physics. riemannian manifold and finsler manifold are metric measure space, so we can study harmonic map between finsler manifolds by the theory of harmonic map on general metric measure space, it will be hard to study harmonic map between finsler manifolds by tensor analysis and it will be no distinctions between the theory of harmonic map on finsler manifold and that of metric measure space. harmonic map between riemannian manifold also can be viewed as the harmonic map between tangent bundles of source manifold and target manifold

    黎曼流形間的調和映射是微分幾何和數學物理的重要內容。黎曼流形和finsler流形都是度量空間，自然可利用一般度量空間調和映射的理論討論finsler流形間的調和映射。但由於控制finsler流形性質的各種張量一般情況下很難應用到一般度量空間調和映射的理論中，使得這樣的討論大都是形式上的，並與一般度量空間調和映射的理論區別不大。
  7. By taking advantages of epipolar line features and depth discontinuities in reference 中國科學院 軟件 研究所 博士 學位 論文 基于 圖 象 的 快速 繪制 技術 的 研究 images ， an efficient inverse wmping algorithm is pfoposed in chapter 3 for gcnerating nagcs of novel views by combining multiple eference images 帆 enhm different vie 呷 oints because continuous segnents determi 。 d by pairs ofedge pixels at co 。 spending epipolar lines are order kept ， only pairs of edge pixels in the reference 渝 明 e e necess 叨 口 cowute to obtain generalized disparity of all points in the desired image as a result ， sighficant acceleraion could be made in the endering pfo 比 鴕 two accelerating techiq 此 s e presented in this algori 山 mb accelerate the hole illing process his algorithm extends the reference images rom projection of single col ： ii ’ ected surface in previously developed nvnverse w 出 下 er to ima 驢 s captured rom complex scene in chapter 4 ， an 《 dent ibr method is prese 庇 仙 y takn ull 訕 antage of 呷 bies c 咖 the method can simulate the 3d details on sllri ： ace of object successfully he 。 叩 proach ， called rered ature mopmp consists of two pans at fst ， an origi 。 ltexture with orthogonal displacements per pixel is deco 啊 osed into a series of new t6 刀 mfcs with each 他 lug a given displacement per pixel ， called ae ， ea atures ， or lt hen hese lt e used to render the novel view by conventional texture mapping d avoid gaps n the endered hlla 驢 ， some phels are to be interpolated nd extended in the 廠 kaccoding to the depth differe eee between two neighbor pixels in the original texture as these ltlt fc … e much storage nd therefore much time is equired to install ltlt into the text ’ ufc buffec an 舊 thod is pfoposed to co 呷 fcss the ltlt ， nd the cottcspondingfclldering method is given experimental esults show that the new method is efficient ， especially n rendering those objects with a smaller depth rnge compared withtheir size ， such as relief surfaces of building

    與己有的三維變換方法相比較，該方法不但成功地填補了由於投影區域擴張而產生的第一類空洞，而且成功地填補了由於空間深度非連續物體相互遮擋而產生的第二類空洞，從而方便地實現了虛擬環境中的漫遊；基於物體表面深度的連續性，本文提出了一個位移預測方法? ?此方法可以從單幅參考圖象獲得逆映射過程中所需要的目標圖象的位移信息，從而大大提高了演算法的效率：與通常的正向映射演算法相比，此演算法克服了多幅參考圖象所帶來的計算量成倍增長等問題，而且誤差較小。 2 ）基於極線幾何的快速逆映射演算法。利用參考圖象的邊界信息與隱含的遮擋關系，以及極線幾何的性質，本文第三章提出了一個基於極線幾何的快速3 『一中國科學院軟體研究所博士學位論文基於圖象的快速繪制技術的研究逆映射演算法，從多幅參考圖象精確合成當前視點目標圖象。
  8. It has many unique advantages compared with laser interferometry. and it can achieve higher accuracy and resolution than traditional geometry moir. it has been proved to be very useful in many practical applications, such as microelectronics, ultra - precision manufacturing, bioengineering, medicine, space technology, and material science, etc. in this dissertation, key technologies of nanometer displacement measurement by grating interferometry are systematically investigated, which mainly include measuring theories, designing grating interferometer and new subdividing method for moir interference fringes

    作為能夠實現納米級位移測量的技術之一，光柵干涉位移測量技術具有激光干涉儀不具備的獨特優點，可以獲得比幾何莫爾術更高的測量準確度、更高的解析度，在諸如微電子、超精加工、生物工程、未來醫學、航天技術、材料科學等眾多領域有廣泛的應用前景。
  9. Based on the theories of gear engagement, contact analysis, friction and heat transfer, a three - dimensional finite element model of gear tooth was established to investigate temperature distributions and variations along the contact path over a range of applied loads and operating speeds with consideration of lubrication conditions. sensitivity analysis of surface temperature to gear configuration, frictional heat flux, heat transfer coefficients, and oil and ambient temperature was conducted and the major parameters influencing surface temperature were evaluated

    本文基於齒輪嚙合原理、輪齒接觸分析、摩擦學和傳熱學，以有限元分析方法和理論分析計算相結合為手段並以實驗測量結果作為參考，建立了適用於工業應用並具有較高計算精度的高速齒輪傳動輪齒溫度分析的模型和方法，系統地分析了輪齒本體溫度的大小和分佈以及齒輪幾何、載荷及轉速和潤滑冷卻條件等對輪齒本體溫度的影響。
  10. Its propositions hold as well for objects made of rubber as for the rigid figures encountered in metric geometry

    拓撲學的一些定理適用於橡膠製成的（可變形的）物體，也同樣適用於在度量幾何學中討論的剛性圖形。
  11. The optimum design of the beat back - impact crusher is proposed, which aims at the highest efficiency of the machine work. the optimum designed mathematics model of the main structural dimension of the crusher ( m, xc, s, w 2 > ir ) is built with restraining conditions such as force condition, energy condition, hammer steady condition, no moving interference, strength of spin axle and bearing condition, upper limit and lower limit of the design variant condition etc. finally, an example is give to illustrate the efficiently of the method proposed

    在綜合考慮影響破碎機效率的各因素的情況下，提出了滿足以力，能量，錘頭穩定性，幾何條件，不發生運動干涉，轉子軸和滾動軸承的強度等約束條件，建立了包含破碎機關鍵參數（錘頭質量m ，軸心o到銷軸錘頭接觸距離r ' ，四川大學碩士學位論文錘頭質心到銷軸與錘頭接觸點的距離拙，錘頭與巖石碰撞到銷軸與錘頭接觸點的距離s ，轉子的速度。
  12. It is difficult to model them by means of traditional geometry theories, and its computation quantity is too enormous while its modeling speed is too slow

    而這些特殊效應從形狀和狀態上來說是不規則的，如果運用傳統的幾何學理論很難比較真實地實現這些對象，而且計算量比較大，生成速度慢。
  13. While the new components having the same numbers with these original physical vectors are introduced and the new components are combined with those original physical components to form a new symplectic space, the ray problem of wave propagation in geometrical optics is converted into the problem of lagrange submanifold in the symplectic space

    通過引入波向量（慢度向量） ，將物理空間中幾何光學的射線問題轉化為辛空間中的lagrange子流形（超曲面）問題。
  14. Firstly, a simple and practical representing method of the tooth edge tangential vector is applied to replace the traditional differential formula, the simple solving technique of edge contact problem makes the geometric edge contact analysis of the complex curve surface realize. secondly, using numerical searching and mathematical programming method solves the contact directions and loaded contact problem. finally, whole numerical simulation method is provided for loaded tooth contact analysis of high contact ratio spiral bevel gears

    首先以一種簡單實用的輪齒邊緣切矢量的數學表示方法取代了經典的微分表達式，大大簡化了幾何邊緣接觸的求解，使復雜曲面的幾何邊緣接觸分析得以實現；其次又採用數值搜索與數學規劃法求解了邊緣接觸的主方向和承載接觸問題，為高重合度弧齒錐齒輪承載嚙合全過程的數值模擬提供了完整的方法。
  15. By analyzing the disadvantage of the parallel rendering load balancing methods based on geometry data analysis, a load balancing method based on time - space conversion is presented which uses time value as the measure of a rendering node ' s work load and uses space value to control the distribution of work load. a reasonable algorithm is used to convert time value to space value

    在分析已有的基於幾何數據分析的并行繪制負載平衡演算法的基礎上，提出了浙江大學博士學位論文基於時空轉換的負載平衡演算法:以時間值直接作為繪制節點負載的度量，以空間值控制負載的分配，通過適當方法完成時間值到空間值的轉換。
  16. In this paper we designed the relief height of the computer optical elements mainly based on the geometrical theory and the scalar quantity diffractive theory. based on the geometrical theory, we achieved the height of phase relief that can shape the laser beam into 4 square spots, square frame, 1 square spot ; with the computer simulation and drawing program, the diffraction patterns are gotten in this paper, the results agreed with the anticipated diffraction patterns ; in this paper we also discussed the affects to the diffraction patterns by changing some parameters

    本文主要基於幾何理論和標量理論來設計計算機光學元件表面的浮雕高度，文中用幾何理論推導出了把高斯光束整形為四個矩形光斑束，正方框形光束、矩形平頂光斑的計算機光學元件表面的浮雕公式;通過計算機輔助設計，計算得到了計算機光學元件表面上的浮雕高度，設計出了計算機光學元件。
  17. Photography - density measurements - geometric conditions for reflection density

    攝影技術.密度測量.反射密度用幾何學條件
  18. As the yardstick changes of crack face is following self - similarity physics law, this paper prosecuted several deep researches on the crack face in rock mass as follows : 1 ) the fractal geometry theory is used to study the characteristic of crack face number in rock mass and a research method about three - dimension fractal distribution to crack face in rock mass was brought forward. we calculate the number of crack when the position of the crack face distribution is random and the crack face ' s slant angle and azimuth angle is certain by numeral experiment, and verify that the crack face number in rock mass comforming three - dimension fractal distribution law is correct

    1 ）應用分形幾何學理論對裂縫面數量分形分佈進行了研究，提出了巖體裂縫面數量的三維分形分佈研究方法；在巖體裂縫面隨機分佈和裂縫面分組的情況下，用數值試驗方法，分別計算各種剖面不同尺度裂縫跡線條數，證明了「巖體裂縫面數量服從三維分形分佈規律」這一巖體力學的重要物理結論。
  19. Some intrinsic metrics in differential manifolds, such as cara - theodory metrics and kobayashi metrics in complex manifolds, are finsler metrics. finsler metrics is just riemannian metrics without quadratic restriction, which was firstly introduced by b. riemann in 1854. the geometry with finsler metric is called finsler geometry

    Finsler度量是沒有二次型限制的riemann度量， riemann在1854年的就職演說中已經涉及了這種情形。以finsler度量為基礎的幾何學被稱為finsler幾何。
  20. Volume 1 discusses ship geometry and measurement in its more basic concepts, also covering safety issues, structural strength, flotation, trim and stability

    第一冊討論船舶在其更加基礎的理論上的幾何學和測量方法，也包括安全問題，結構強度，下水，調配載重及穩定性。
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