維數界 的英文怎麼說

中文拼音 [wéishǔjiè]
維數界 英文
dimension bound
  • 維 : Ⅰ動詞1 （連接） tie up; hold together; link 2 （保持; 保全） maintain; safeguard; preserve; keep ...
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 界 : 名詞1 （相交的地方; 劃分的界限） boundary 2 （一定的范圍） scope; extent 3 （按職業、工作或性別等...
  1. And the explicit finite difference method, the combining method of the central difference method and newmark s constant average acceleration method, and the transmitting boundary are used. by comparing the acceleration determined by the several methods of the displacements or velocities, a computing method of acceleration employed the one side difference of velocity is more practicality in this research. corresponding to normal incidence of the body waves, p waves or svwaves, and rayleigh surface waves, two two - dimensional finite difference programs are compiled to compu te the dynamic response of two - phase media

    以土力學模型為基礎，利用以土骨架和孔隙流體的四個位移為基本未知量的數值方法去模擬二維飽水介質中的地震波傳播，採用了顯式差分方法（中心差分法和newmark常平均加速度法結合）和透射邊界，通過比較利用幾種差分格式求解的加速度結果，發現一種用速度單邊差分求解加速度的方法在本文研究中較為實用，分別編制了體波（ p波或sv波） 、 rayleigh面波輸入時求解兩相介質動力響應的兩個二維數值分析程序。
  2. Given a ring, one always takes the supremum of some homological dimension of specified modules to obtain the corresponding global dimension, and to characterize the ring from outside

    對于給定的結合環，人們往往通過對其上的一些模的某一種同調維數取上確界而得到環的相應的整體維數，進而從外部刻畫出環的特徵。
  3. The numerical simulation of axisymmetric two - dimensional shock tube is studied, which has a conical convergent section, and its driving gas is the hot product of hydrogen oxygen detonation. finite volume tvd scheme is adopted and the mesh is local orthogonal. the primitive equations are euler s equations of multi - component flow. the new method of eliminating numerical oscillation at the interface of two materials is extended to two dimensions. the mechanical character of this shock tube is analyzed

    對由前向爆轟產生驅動氣體並具有局部錐形收縮截面的軸對稱激波管利用兩相常比熱完全氣體的歐拉方程組和有限體積tvd格式在局部正交的網格上進行了二維數值模擬。將消除兩種介質界面處數值振蕩的新方法成功地推廣到二維情況。分析了該激波管的力學特性。
  4. The updated model with complete forcing has excellent ability of simulation and forecast. to study yellow and east china circulation in winter and summer, based on long - term ocean observation data of january and august, the fine structure of yellow and east china seas circulation is diagnostically calculated with complete forcing ( including surface wind stress, boundary transportation, baroclinic effect, tide, changjiang river runoff ) in winter. the influences of factors on main circulation patterns are discussed respectively

    對于冬季和夏季海洋環流的情況，在多年觀測的溫鹽資料基礎上，分別以1月份和8月份代表黃東海冬季和夏季的情況，以月平均大氣風應力、邊界流輸送、溫鹽斜壓效應、潮汐、長江口徑流等作為強迫條件，對黃東海環流的細微結構作了高分辨的三維數值模擬，探討了各因子對冬、夏季主要流系的動力學作用。
  5. Using two - dimensional numerical simulation software, analyze the affect of isolated - trench ' s parameters on the breakdown voltages of three - class bipolar power devices ( whose ideal breakdown voltages correspond to 40v, 70v and 100v ), which include width, depth, isolated material ' s dielectric constant, fixed interface - charge and field plate located at the top of deep - trench termination

    利用二維數值模擬軟體分析了影響三類典型應用的雙極功率器件（對應的理想擊穿電壓bv _ （ cro ）分別為： 40v ， 70v ， 100v ）擊穿電壓的諸多因素（主要包括阱寬度、阱深度、阱內填充介質、界面固定電荷、阱區頂端場板） 。
  6. Creative points and all tasks having be finished are briefly shown below : according to the classical space meshing theory, we have strictly deduced a series of formulae such as the equation of contacting line of worm, the equation of the second limiting curve of worm gear, and the equation of working surface and non - working surface, etc. and we have deeply studied the algorism of the actual contacting lines of worm gear drive

    本文的主要創新點和成果如下：基於經典共軛嚙合理論，對平面二包蝸桿副的運動關系進行了嚴密分析，獲得了蝸桿副齒面方程、蝸桿齒面一界曲線方程、蝸輪齒面二界曲線方程等一系列齒面分析所必須的數學公式，並深入研究了蝸桿副齒面接觸線的演算法，為蝸桿副的三維數字化造型打下了堅實的數學基礎。
  7. In order to efficiently express 3d objects in the actual world, especially, coal beds, a new method of 3d based on set theory was proposed after analyzing complicated 3d data of coal beds

    摘要為了有效地表達現實世界特別是煤礦床的三維空間實體，在分析了復雜煤層三維數據的基礎上，基於集合論的數學思想，提出了一種新的抽象的煤礦床空間數據模型。
  8. Anthropogenic activities ( e. g. development, over - grazing, timber harvest ) can disrupt the structural integrity of oasis - desert landscapes and is expected to impede diversity communities across the landscape and make it fragmented. with human dimension and activities enhancing, the patchiness grain, edge density and landscape contrast become large, landscape diversity and patch fractal dimension decreased

    隨著人類活動的增強，斑塊粒度、邊緣密度、分散度、對比度變大，而景觀多樣性下降，斑塊分維數變小，人類生產經營活動導致了綠洲-荒漠景觀破碎化，綠洲和荒漠生態系統界面上的突變性、對比度和異質性增強。
  9. Theoretical analysis and experimental results indicate that algorithm ecfpcg1 and algorithm ecfpcg2 es - tablished by specifying parameters are much more efficient than the imth method, and roughly speaking, the relative efficiency of the algorithms versus the imth method tends to + 00 at the asymptotic formula inn / in3 when n tends to + 00

    理論分析結果表明：這兩個演算法比imth方法具有更高的效率，而且，演算法ecfpcg1的效率高於演算法ecfpcg2的效率。進一步地，演算法ecfpcg2與imth方法的效率比分別為問題維數n和目標函數復雜性嚴格遞增函數，而且這個效率比的下界隨問題維數n的增大以ln （ n ） ln3的速率趨于無窮大。
  10. One of its most important applications is to improve the optimization algorithms by evaluating the relevant derivatives information efficiently the aim of the work includes : to establish and study new algorithms - - cf - pcg algorithrns with ad ; to establish and study the extended cf - pcg algorithm ( ecfpcg ). cf - pcg algorithms with ad is proposed on the basis of cf - pcg algorithms with sd, in addition to replace sd with ad, there are other significant modification to the algorithms. the results by theoretical analysis and numerical experiments implicate that cf - pcg algo - rithm with ad is an improvement to newton method with ad

    論文首次將自動微分應用於牛頓- pcg型演算法，構造了新演算法，並從理論上比較了新演算法與牛頓法的效率，證明了新演算法的效率嚴格大於牛頓法的效率，而且新演算法與牛頓法的效率比分別是問題維數n和目標函數復雜性的嚴格單調遞增函數，當n趨于無窮大時，這個效率比的下界以ln （ n ） ln2的速率趨于無窮大。
  11. We get the estimates of the upper bounds of hausdorff and fractal dimensions for the global attractors. in section 5. 3, the cauchy problem is studied, by using the weighted function space and the interpolating inequality, the existence of the global attractors for the damped generalized coupled nonlinear wave equations in an unbounded domain is proved. in section 5. 4, the time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary conditions is studied, the existence of time periodic soluation of this problem is proved by using the convergence of approximate time periodic solution sequences

    第五章，考慮了一類廣義耦合的非線性波動方程組，在第二節中討論了周期初值問題，證明了整體光滑解的存在性和唯一性，得到了整體吸引子，給出了hausdorff維數和分形維數的上界估計；在第三節中討論了cauchy問題，利用加權函數和加權空間的插值不等式，證明了無界區域上整體吸引子的存在性；在第四節中證明了時間周期解的存在性。
  12. The fractal theory was used to study the character of liquid - vapor interface in the paper, hence the application of the fractal theory in thermal subjects could be solved and a way to calculate the fractional dimension number in the process of simulation could be put forward. the fractional dimension number describing the character of the liquid - vapor interface was calculated. the distinct fractional dimension numbers in x, y and z direction reveal that the simulation system is an anisotropic one

    並將分形理論運用到汽液界面的研究中，提出了在汽液界面中計算分維數的方法，得到了描述汽液界面特性的數字特徵變量? ?分維數，同時根據所得到的x 、 y和z方向分維數的不同，證明了汽液界面是各向異性的，並對汽液界面進行了定性和定量的分析，得到了汽液界面是典型的分形面的結論。
  13. 4. applying the techniques of real radical ideal, p - radical ideal ( p is a cone ), decomposition of semi - algebraic set in ( [ 72 ] ), affine hilbert polynomial and b - net form of polynomials on simplex, this paper obtains two theorems of real c ? piecewise algebraic variety dimensions and the real nullstellensatz in c

    L 、 ）數的一個下界計算公上巳4 ：應用多項式在單純形上的b網形式以及文獻門21 ）中的實根理想，錐根理想，半代數簇分解定理，本文得出了實c 」分片代數簇的二個維數定理和c 。
  14. The infiltration process of the water on the surface is analysized under rainfall conditions, the two - dimensional mathematical model and its boundary conditions are presented

    分析了降雨條件下地表水入滲的過程，提出了降雨條件下非飽和滲流的二維數學模型及邊界條件。
  15. The high similarity in shapes and large overlapping areas of corresponded contours on adjacent cross - sectional are main conditions in reconstructing surface correctly. in accordance with the disadvantage of blurring caused by traditional gray - level interpolation methods, this dissertation introduces a method to interpolate 3d images based on point matching approach to get 3d isotropy volume data. with respect to non - similar shapes or no superposition of corresponded contours on adjacent slices and concave contours, this dissertation presents a method for shape - based interpolation based on nonuniform scale bounding box

    相鄰斷層上對應輪廓區域的形狀相似和重疊部分大是保證重建表面正確性的重要條件，針對傳統灰度插值容易引起模糊邊界的缺點，本文採用基於對應點匹配的方法進行灰度插值，以獲得各向同性的三維數據；針對相鄰斷層間對應輪廓的形狀不相似，位置不重合和有凹輪廓線的情況，提出一種基於包圍盒非均勻比例放縮的形狀插值方法。
  16. It combines two remarkable ideas : maximum margin classifiers with low capacity and therefore good generalization, and implicit feature spaces defined by kernel function. theoretically underpinned by these ideas, svm can overcome the curse - of - dimensionality and over - fitting problems elegantly. due to its remarkable performance on many applications, svm is receiving increasing attention now

    支持向量機是基於統計學習理論的結構風險最小化原則的，它將最大分界面分類器思想和基於核的方法結合在一起，表現出了很好的泛化能力，並且可以有效地克服維數災難和過擬合等問題，因此受到越來越多的研究人員的關注。
  17. Thereinto forecasting of water requirement is the datum basic and critical condition of multi - dimension critical adjustment model ; revival and critical cybernetics of water resources is its theory gist ; distribution project of water resources is basic gist of scientific and rational distribution in every province

    其中需水預測最終為多維臨界調控模型提供數據基礎和邊界條件；水資源可再生以及臨界控制理論研究為多維臨界總控模型提供理論依據；分水方案是各省區科學合理配水的基本依據。
  18. In the part sea area of the oujiang estuary which has complicated landform, the different ko are adopted in the control equations of flow and salinity process to work out the process of tide level, averaged salinity and the flow field using the invariant flow and the real process of tide level as the boundary conditions. the comparison and analysis among the computed results, the theoretic results and the computed results of two dimensional numeric model in a large area indicate that the model is applicable

    以地形復雜的甌江河口局部海區為例，分別採用給定恆定流以及實際潮流過程作為邊界條件，對水流鹽度過程採用不同的k _ 0形式進行了計算，給出了潮位過程、平均鹽度過程以及流場的逐時計算結果，將計算結果與相應的理論結果、實測資料以及大范圍二維數學模型的計算結果進行了驗證及細致分析，得到了較為滿意的結果。
  19. Based on some discussions on the mathematic model set up for the cathodic protection potential field, a two - dimensional boundary element method ( bem ) is developed, and by using which, a study on the shielding effect resulted from some typical inner structures such as the reinforcing elements and the partition walls with man holes on distribution of potential and current density in the cathodic protection is performed. the investigated parameters which affect the shielding effect in the calculating model include : the height and thickness of the reinforcing elements, the distance between the anode and the reinforcing elements, and the diameter of man hole on the partition walls, and so on

    本文在討論了陰極保護電位場問題的數學模型的基礎上，以二維邊界元法對陰極保護問題中的電位及電流密度分佈進行了模擬計算，重點對船舶壓載艙中的典型結構如加強筋、人孔等在陰極保護中所產生的屏蔽效應進行了分析和研究，通過對不同高度、厚度的擋板及不同孔徑的帶孔板所產生的屏蔽效應進行模擬計算，首次得到了一些對實際工程設計具有重要參考意義的見解。
  20. The df of production greenland is small ; the df of shelter forest is large, indicating that production greenland has simplest perimeter pattern, while shelter forest most complex perimeter pattern. 4

    生產性綠地的分維數最小，防護綠地的分維數最大，接近於1 . 5 ，說明生產性綠地的邊界格局最簡單，防護綠地的邊界格局最復雜。
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