維數定理 的英文怎麼說
中文拼音 [wéishǔdìnglǐ]
維數定理
英文
dimension theorem-
The double - base teaching is one of traditional features in the mathematics " education in our country, which focuses on how to cultivate the students " inquiry ability in the daily teaching. first of all, from the beginning of the double - base teaching, we pay attention to the original knowledge during the teaching of concepts, definitions, theorems and formulas. in the case of exercising lessons, we conclude, summarize and train the student ' s emanative ideations
重視雙基教學是我國中學數學教學的傳統特色，在日常教學中培養學生的探究能力，應首先從雙基教學開始：在概念、定義、定理、公式的教學中注重知識的起源；在例習題教學中，注重歸納、小結及訓練學生的發散思維能力；在復習課的教學中注重各知識的相互聯系；其次，由於數學開放題具有良好的探究功能，因此，在日常教學中適當創設數學開放題，也是培養學生探究能力的一個重要途徑。In chapter 3, we study the property of complete exceptional sequence. in chapter 4, we make research on the hochschild cohomology of endomorphism algebras of complete exceptional sequence over hereditary algebras
第三章，我們證明了有限維遺傳代數中，完備例外序列的維數向量的性質定理以及完備例外序列的誠實性。The paper will study the upper questions based on the two interconnection networks. first, we give a fault - tolerant routing algorithm under the connectivity of the crossed cube in o ( n ) time and the length of the longest routing path ; second, with the rapid progress in vlsi, the failing probability of processors and links is very low, the traditional connectivity underestimates the resilience of large networks / here by applying the concept " conditional connectivity " introduce by harary, we show that the n - crossed cube can tolerate up to 2n - 3 ( n > 2 ) processors failure and remain connected provide that all the neighbors of each processor do not ' fail at the same time, the result is the same as the hypercube. we also give a related algorithm in o ( n ) time, and the length of the longest path ; third, we apply cluster faun tolerance introduced by q. - p
根據menger定理， n -維交叉立方體可以容納n - 1個故障頂點，我們給出了它的時間復雜度為o （ n ）的容錯路由選擇演算法及其最長路徑長度分析；在此基礎上本文證明， n -維交叉立方體的條件連通度為2n - 2 （ n 2 ） ，並給出了相應時間復雜度為o （ n ）的演算法及其最長路徑長度；除此之外，本文還證明當n -維交叉立方體中的故障簇個數不大於n - 1 ，其直徑不大於1 ，故障頂點總數不超過2n - 3 （ n 2 ）時，交叉立方體中任兩個無故障頂點都至少有一條可靠路徑。An extension form of liouville ' s theorem about analytic functions for general harmonic functions is proved
摘要證明復變函數中的劉維爾定理在調和函數中的一種推廣。Indoor operations - this module monitors the indoor operations of aton, executes management on the maintenance process of light buoys, lighthouses, piles and vindication of energy source and lights, apart from monitoring the aton store archive, generating reports on indoor operations and make inquiry on the data for indoor operation. 3. outdoor operations - this module carries out managerial work and data processing concerning aton outdoor operations, including editing, generating and dispatching outdoor operations requirements and extra tasks issued by administrative departments
在分析了目前上海港航標維護管理存在的瓶頸問題，如：計劃制訂依賴于經驗，缺乏全局性，難以做到綜合平衡；外業作業生產的定位關系有缺陷；數據信息不準確導致船舶準備不足；航標器材的管理模式不清晰等的基礎上，提出了系統的主要功能是：航標維護管理系統將涉及到航標維護的全過程，即從航標維護計劃的制訂到航標生產作業過程的管理。All the work of this paper can be concluded as follows : 1 to research the ways of quota calculating 2 to build up the mode of data stream, analyze and introduce the work principle of system 3 to research of the structure of system and accomplish the function 4 to research the relationship between the system and tache of production and management, to research the pontes of system ( including man and computer, bom designing and maintenance system, capp, process aided designing system, others ) 5 to research the ways of software designing, database designing and accomplishment this system can finish the quota calculating and editing of parts and components, make requisition, examine and approve of the quota list and provide the data maintenance and management, and print various quota lists and classified collect lists
本文主要進行了以下幾方面的工作： 1 、材料消耗定額制訂方法的研究2 、建立數據信息流程模型、系統的工作原理的分析和介紹3 、計算機輔助材料定額系統結構的研究開發與系統功能實現的研究4 、在工藝數字化系統中材料消耗定額與其他生產管理環節和系統的關系（包括人機介面、 capp系統介面、工藝行程輔助編制系統介面及其它系統介面）的研究5 、軟體設計方法和系統數據庫設計和結構實現的研究系統可以實現零部件主要材料和車間輔助材料消耗定額的計算機輔助編制、修訂，修改通知單輔助生成。定額明細表瀏覽審批並提供定額制訂基礎數據維護管理功能，按要求列印輸出各種定額明細表和分類匯總表。A new fractal - based infrared image feature extraction method is presented and the detailed theoretic analysis and implement procedure of this algorithm is submitted and tested in some experiments. with the limitation of the line detection based on traditional hough transform that the information of the length and the end points of the line is unavailable, a new algorithm which makes use of the accessional strategy based on precognition information is put forward to meet the demand for more information of the line, simulation results show this method is effective. finally, the whole process of airport target recognition is presented and the result images are also given
使用分形方法提取目標的特徵，在知識指導下，提出了一種基於目標特徵模型的降維的形態學分形維數計算方法，對傳統分形方法進行了改進，從理論上推證了演算法的合理性，並對演算法進行了模擬分析；針對傳統hough變換無法獲得線段端點和長度信息的局限性，提出了一種基於目標特徵先驗知識的hough變換融合策略，通過引入目標先驗知識，可以有效地獲得直線信息；對信息多而復雜的機場目標採用基於知識的目標識別方法，使用置信度模摘要型實現不確定推理，對目標進行識別判斷，將知識貫穿于整個識別過程中，對目標進行了有效地識別。The development course of mathematical conjecture is demonstrated from its definition, origination, categorical character, resolvent using a method of historical analysis, the conclusion shows that mathematical conjecture is a convenient scientific method and an important thought form. to sum up, the study and the settlement of mathematical conjecture not only richen mathematical theory, but creat a lot of new methods, furthermore, it promotes the research on mathematical methodology and advance a development of mathmatics itself
研究了數學猜想及其對數學發展的影響.採用歷史分析的方法，從數學猜想的定義、來源、提出方法、類型和解決的主要方法等方面論述了數學猜想的歷程和發展.數學猜想是數學研究的一種常用科學方法，又是數學發展的一種重要思維形式，研究和解決數學猜想，不但可以豐富數學理論，還會創造出許多新方法，促進數學方法論的研究和推動數學的發展The following topics are covered in the course : complex algebra and functions ; analyticity ; contour integration, cauchy ' s theorem ; singularities, taylor and laurent series ; residues, evaluation of integrals ; multivalued functions, potential theory in two dimensions ; fourier analysis and laplace transforms
本課程包含下列各項主題：復數代數與函數；可解析性；輪廓積分；柯西定理；奇異性，泰勒與羅倫茲級數，留數，積分的運算；多值函數，二維的勢能理論；傅立葉分析與拉普拉斯轉換。The author discusses the duality theorem of infinite dimensional hopf algebras in braided tensor categories in the first chapter, and shows the theorem by the use of braiding diagram
本文第一章討論了辮子張量范疇中無限維hopf代數的對偶定理，應用辮子圖對此定理給出證明，得到如下結果：命題2Using 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） 。On the basis of the theory of fractal geometry, the fractal dimension characters of ae signal at different tool wear states were analyzed, an algorithm was provided to decide the scale range which is necessary to calculate the dimension of non - fully - fractal form. the experiments showed that the fractal dimension of ae signal is slightly effected by the changes of cutting parameters ; the variance of the fractal dimensions, which reflects the geometric characters of ae signals, has the same tendency as that of the flank wear, the monitoring system, which takes the fractal dimension of the ae signal as the feature, can identify the different tool wear states more correctly under different cutting conditions
以分形幾何理論為基礎，對刀具不同磨損階段聲發射信號的分形特徵進行分析.提出了計算非完全分形體信號波形的關聯維數時尺度范圍的確定方法，分析了聲發射信號在刀具磨損過程中分形維數的變化特性.刀具磨損切削實驗數據表明，聲發射信號的分形維數受切削參數變化影響較小；分形維數反映了聲發射信號的幾何特徵，其大小能較好地反映刀具的不同磨損狀態.實驗結果表明，該方法能正確地實時在線監測刀具的不同磨損狀態Different equations to corresponding components are presented by analysing and transformating the general equations of fluid routes, then static characteristics mathematical model of liquid propellant space propulsion system is presented. based on the data of static characteristics calculation, mass model of thruster, propellant, propellant tank, gas, gas bottle, pipe and valve is presented using both the method of statistical regression and the method of stress analysis, then corresponding mass model is presented. based on the characteristics of liquid propellant space propulsion systems, analyse the five phases ( concept and definition, design and improvement, manufactureing and arrangement, operation and ma intenance, disposal ) in which life cycle cost of liquid propellant space propulsion systems is cost separately, then discompsed structure of life cycle cost and model of life cycle cost are presented
將組件分成氣路組件和液路組件，再對氣路組件和液路組件進行相應的分類，然後通過對通用流路方程進行分析和變換對不同類型的組件分別建立不同的方程，從而建立了一個適用於液體推進劑空間推進系統的靜態數學模型；根據靜態計算所得到的數據，應用統計回歸法和應力分析法分別建立推力室、推進劑、推進劑貯箱、氣體、氣瓶以及導管和活門等的質量模型，從而建立相應的質量模型；結合液體推進劑空間推進系統特點，對液體推進劑空間推進系統全壽命周期費用發生的五個階段（概念和定義、設計和改進、製造和安裝、運行和維修、處理）分別進行分析，建立了液體推進劑空間推進系統全壽命周期費用分解結構和全壽命周期費用模型。In the framework, a control mesh may be arbitrary one - dimensional or two - dimensional orientated topological manifold, and the curve or surface is defined on differential manifold homeomorphic to the control mesh with a potential function as its basis functions. this method is an extension of nurbs, which efficiently overcomes the limitations of nurbs
廣義有理參數曲線曲面定義在與控制網格拓撲同胚的微分流形上，以高度一般的勢函數為基函數，其控制網格可以是任意的一維拓撲流形和二維可定向拓撲流形。Spline curves defined in the space constructed by polynomial and hyperbolic functions are studied in this paper. the main research contents and achievements are as follow : firstly, we generate the cardinal extended complete chebychevian ( ect ) - systems on the space constructed by polynomial and hyperbolic functions, then introduce the algebraic - hyperbolic b - spline space and identify the dimension law and zero properties. the existence of a basis of splines with minimal compact supports is demonstrated, and functions named non - uniform algebraic - hyperbolic b - splines are obtained by solving certain linear equations with a block matrix
本文主要研究定義在多項式和雙曲函數構成的空間上的樣條曲線，其內容和完成結果如下:一、生成由多項式和雙曲函數構成的空間上的一組典範式ect （ extendedcompletechebychevian ）組及其對偶， ，證明非均勻代數雙曲b樣條空間的維數定理和零點定理，直接通過解塊矩陣線性方程組得到具有最小緊支撐的非均勻代數雙曲b樣條函數，進而構造非均勻代數雙曲b樣條曲線，還具體給出低階的表示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 。Therefore, it can be used as an efficient new model for geometric design in the fields of cad / cam. at last, the spatial definition of periodic spline and natural spline constructed by polynomial and hyperbolic functions is given ; the dimension law and zero properties are demonstrated ; and therefore the non - uniform algebraic - hyperbolic period and natural spline curves are obtained. the applications of the low order are given in details
三、給出代數雙曲周期樣條及自然樣條空間定義，證明其維數定理和零點定理，構造具有最小緊支撐的非均勻代數雙曲周期及自然樣條函數，進而定義非均勻代數雙曲周期及自然樣條曲線，最後具體給出低階的表示和應用Taking suspension bridge anchor of runyang highway bridge as project background in this paper, considering undulating angle of rock mass structural plane, angle of mean square root slope method is established by exerting fractal geometry theory. fractal dimension of profile of rock mass structural plane is calculated by above method. and roughness degree is described quantitatively, furthermore correlativity between fractal dimension and roughness coefficient ( jrc ) is analyzed
本文以潤揚大橋懸索橋錨碇摩阻力研究為工程背景，運用分形幾何理論，從巖體結構面起伏角的角度出發，建立了均方根坡度角法測算巖體結構面剖面輪廓線的分維數，定量描述其粗糙程度，並分析了分維數與粗糙度系數jrc之間的相關關系。Comparing our results with that of predecessors, we find that ( i ) there indeed exists a parameter ( impurity bohr radius ajm ) on which the impurity binding energy has strong dependence ; ( ii ) the virial theorem value is non - constant but approach 2 from above when the well width is smaller or larger
計算結果表明：的確存在一個參數（雜質有效玻爾半徑）可用來完全確定束縛能的值，而不必考慮截面的形狀和尺寸；體系的維里定理值並不等於常數，而是隨雜質有效玻爾半徑的變化而變化，在阱寬較小和較大時，維里定理值都趨于同一值2 。The process in which we make any trial variation function satisfy the varial theorem is called scaling.
我們使任一嘗試變分函數滿足維里定理的方法叫做定標。分享友人