矩陣代數表 的英文怎麼說

中文拼音 [jǔzhèndàishǔbiǎo]
矩陣代數表 英文
matrix algebra table
  • 矩 : 名詞1. （畫直角或正方形、矩形用的曲尺） carpenter's square; square2. （法度; 規則） rules; regulations 3. [物理學] moment
  • 陣 : Ⅰ名詞1 （作戰隊伍的行列或組合方式） battle array [formation]: 布陣 deploy the troops in battle fo...
  • 代 : Ⅰ動詞1 （代替） take the place of; be in place of 2 （代理） act on behalf of; acting Ⅱ名詞1 （歷...
  • 數 : 數副詞（屢次） frequently; repeatedly
  • 表 : Ⅰ名詞1 （外面;外表） outside; surface; external 2 （中表親戚） the relationship between the child...
  • 矩陣 : [數學] matrix; array
  1. The signal we named it fundamental wave ; according to the fundamental wave, coefficients of the fundamental wave can be lined in a sequence. when the unique of the dissolve of the fundamental wave can be confirmed, the sequence of the coefficients can be regarded as one of representation forms of the signal itself ; theory of dissolvable signal shows that when order of the matrix of fundamental wave sampling equals to number of fundamental waves, the sequence of the sampling values from sampling points must be matched one by one with the sequence of the coefficients of fundamental waves. the sampling composed by sequences of the sampling values must be full sampling ; the relevant deductions of the theory of dissolvable signal shows that when sampling the signal, sampling frequency must be lager than the ratio of the number of fundamental waves to the occupation time of the fundamental waves ; to band - limited signals, when the fundamental wave is a sine signal, the results from the relevant deductions of theory of dissolvable signal is coherent to the classic sampling theory

    本文通過分析認為，當信號集中的任一信號可表示為一系列已知信號的線性代數和時，信號集便構成可分解信號集，已知信號稱為基波信號；對可分解信號而言，基波系數構成一序列，當對指定的基波信號集分解唯一確定時，系數序列本身便是信號的一個表示；可分解信號采樣定理指出當基波樣值矩陣的秩等於基波數時，則由采樣點處的采樣樣構成的樣值序列必與基波系數序列一一對應，從而由該樣值序列構成的采樣必為完全采樣；可分解信號采樣定理中的推論指出，對信號集進行采樣，采樣頻率必須大於其信號分解的基波數與其對應時長之比；對有限帶寬信號，若基波信號為正弦信號時，由可分解信號采樣定理推論給出的結論與經典采樣定理一致。
  2. ( 4 ) on the efficient method for the dynamical core of the new generation multi - scale forecasting model i ) we present a new multi - level sparse approximate inverse preconditnioner for the complicated 3 - d helmholtz equations in the new generation weather forecasting model. as a result, the new sparse approximate inverse preconditioned gcr and gmres algorithms are given and successfully applied in the dynamical core. numerical tests show that the new algorithms perform very efficiently, and can greatly improve the efficiency of numerical model

    對此，本文提出了一種基於逐層門限技術的近似逆矩陣稀疏模式預選方法，並構造了相應的稀疏近似逆預條件子，結合gcr演算法和g州[ r衛s演算法，首次將逐層門限稀疏近似逆預條件子應用於新一代多尺度預報模式動力內核的實際計算，數值實驗表明這里給出的方法可以大大提高數值模式的計算效率。
  3. The c * - algebras considered are those that can be expressed as inductive limits of matrix algebras, matrix algebras over cuntz algebras, matrix algebras over extensions of cuntz algebras, and their hereditary c * - subalgebras. c * - algebras in the class are not necessary simple

    我們要分類的c ~ * -代數可表示為矩陣代數， cuntz代數上的矩陣代數， cuntz代數的擴張上的矩陣代數及其可遺傳的c ~ * -子代數的歸納極限。
  4. Tableau, matrix - algebra

    矩陣代數圖表
  5. The property shows that the maximal solution is well - conditioned. two new iteration methods for finding the maximal solution are proposed. of these two methods, one is a linearly convergent iteration without matrix inversion, and one is related to newton s method and quadratically convergent

    這2種方法，一種是線性收斂的，其優點是迭代過程不需要求矩陣的逆另一種是二次收斂的，數值試驗的結果表明該方法在計算速度和精度方面都明顯地優于現有的其他幾種迭代方法。
  6. With those above, an essential explanation to the simplicity of the representation of rijndael s - box is given, and a direct proof to the equivalence between any two coordinate functions of rijndael s - box is provided, with the equivalence described by only one matrix of order eight over gf ( 28 ). 5

    利用這三種方法計算出的域元素分量表達式，解釋了rijndael演算法s盒代數表達式復雜度低的本質原因；給出rijndael演算法s盒分量函數間等價關系的一種直接的證明方法，並用一個八階gf （ 2 ~ 8 ）矩陣完全刻劃這種等價關系。
  7. We analyze the assembly model and propose a mathematics model and tree - representing model of the assembly who not only has a small data size, but also can be manipulated easily. this thesis not only gives the virtual representing concept the instance representing one, but also defines the concept of assembly constraint such as coupling, being alignment, being coaxial and being equidirectional. based on such concepts, a revised newton - raphson iterative algorithm is proposed, which can deal with the singularity and ill - condition of jacobi matrix

    首先分析了裝配體的模型問題，提出了裝配體的數學模型及樹形式表示的裝配體表示模型，模型具有數據量小、操作簡單的優點：文章對所涉及的約束諸如耦合、對齊、同軸、同向的裝配體位置描述概念進行了定義，引入了裝配約柬概念，從而提高了裝配設計效率；在此基礎上，文章討論了裝配約束的求解方法，提出了newton rapson迭代法的改進演算法，使得系統能更好地處理jacobi矩陣的奇異和病態的情形。
  8. According to the principle of generation of prime number through boolean algebra logic operation and phase angle matrix analysis of the periodic function it comes out that any even number larger than 4 can be expressed as the sum of two prime numbers ， i. e. “ 1 + 1 ” is tenable, and thereby finishes demonstration of the validity of goldbach ' s conjecture

    根據素數的形成機理，從布爾代數的邏輯運算和周期函數的相角矩陣分析，都得出了大於4的任何偶數都可表示成兩個素數之和即「 1 + 1 」成立，從而完成了哥德巴赫猜想成立的論證。
  9. 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
  10. The author ' s work gives new way, which is beneficial to real time interaction and can efficiently reduce computing time as well as data storage amount. these algorithms can find good use in numerical machining, robotics, form - position tolerance and computer graphics. ( 3 ) degree reduction for nurbs curves and surfaces by applying the theory of the best uniform approximation of chebyshev polynomials and the explicit matrix representation of nurbs curves, this thesis centers on the research of the explicit nearly best approximation of multi - degree reduction of nurbs curves

    以上關于等距曲線的幾何逼近與代數逼近的演算法改革了當前國際圖形界只能對基曲線沿法矢方向平移定距離的點作近似逼近的固定模式，創造了利於交互操作，能有效地減少計算量及數據存儲量的新方法，可在數控加工、浙江大學碩士學位論文機器人、形位公差學、計算機圖形學中獲得很好的應用（ 3 ） nurbs曲線曲面降階應用nurbs曲線的顯式矩陣表示及chebyshev多項式逼近理論，以實現nurbs曲線顯式一次性降多階的近似最佳逼近為目標進行了研究
  11. Approaches to the blooean matrix and ei algebra representation of concepts

    代數表示與布爾矩陣表示的研究
  12. So the third … the algebra way of looking the problem is the matrix form, in using a matrix that i ' ll call it a

    所以第三…用代數的方法審視這個問題是使用我稱之為a的矩陣表示的矩陣表格。
  13. 2. according to distribution characteristic of recipes, a recipe fuzzy cluster algorithm based on kernel - function was presented. firstly one recipe kernel - function was defined to represent recipe class, through minimizing all the distance of recipe samples to recipe class kernel, recipe samples were classed. the class number was gave out and each recipe was gave membership degrees belong to each classes

    2 、根據配方的模式分佈特點，提出了一種基於類核函數的配方模糊聚類演算法，定義一個配方類核函數來代表配方類，通過最小化所有配方樣本到配方類核距離加權和來對配方進行聚類，得到聚類數目及模糊隸屬度矩陣。
  14. Paper [ 76 ] provides a integer algorithm for rasterizing free curves, we need change the curve form to implicit function form, then use curve ' s positive - negative property to draw, but we ca n ' t use this algorithm when curve ' s degree is higher than 3 and this algorithm ca n ' t avoid using multiplication ; paper [ 77 ] provides a new generating algorithm, this algorithm can draw bezier very well, but for b - spline curve, we need use convert them into bernstein base form. because this process spends a lot of time, this algorithm has not a good speed and effect for rendering rational b - spline curve

    現在經常採用的演算法也是基於幾何的演算法（即線式生成演算法）和基於像素的演算法（點式生成演算法） ;文獻78 ]提供了一種有理參數曲線的快速逐點生成演算法，該演算法對有理b吮ier曲線的繪制，能起到很好的作用，但是對于有理b樣條曲線，必須先通過多項式的代數基與bemstein基間的變換矩陣，把原式用bemstein基表示，這一過程由於計算量大，降低了曲線生成的速度和效率
  15. Steel frame with welding joint easily occur brittle collapse because of having a low ductility at joints then ， a semi - rigid connected steel frame has large the energy absorption capacity which can resist dynamic loads and the using steel qualities of bracing system and joints are small so adopting a semi - rigid jointed steel frame is economical and stable but for semi - rigid connections are complex and variable ， in conventional analysis and design of steel structures ， it is usually assumed that the connections between columns and beams are either rigid or pinned the analysis of steel frames adopting the assumption can simplify the procedure of analysis and design ， but cannot precisely reflect structural practical circumstance and the errors of calculating results are large ， even ， get incorrect conclusions semi - rigid connection was referred to in chinese code for design of steel structures ( 2001 ， 10 ) ， however ， it isn ’ t specified how to apply semi - rigid joints in design in fact it cannot be carry out the purpose of the paper give a calculating method that accords practical engineering and easily put into effect worthwhile it is going to promote the development of semi - rigid jointed steel frame in design and heighten structural stability in the paper ， at first some commonly employed methods for the modeling of connection behavior are introduced richard abbott function modeling of connection is adopted for extended end plate bolted connection by the 34 test data comparing to regression analysis indicate richard - abbott function modeling of connection represents an excellent fit to test data then after a semi - rigid joint behavior can be modeled as a finite stiffness rotation spring ， base on rotation and displacement equation derive the element stiffness matrixes with semi - rigid connections where the effects ofj ointed flexibility geometric non - linearity and shear forces in the connection deformations have been considered in and fixed - end forces are modified finally, a program for calculating semi - rigid with incremental - iterative method has been

    本文的目的就是為半剛性連接鋼框架的設計提供一種既符合工程實際又簡便易行的計算方法，供規范使用過程的補充、延伸或參考；同時，也將促進半剛性連接鋼框架設計技術的發展，為提高結構安全性能、節省工程成本發揮應有的作用。本文首先介紹了常見的幾種應用較為廣泛的樑柱連接彎矩轉角關系模型，在分析比較的基礎上，選用richard ? abbott函數模型作為外伸端板連接彎矩轉角關系模型，通過對34個外伸端板連接的實驗數據與回歸分析得到的參數比較可知，經回歸分析得到的此模型參數與實驗數據符合較好。然後用彈簧表徵連接點的轉動剛度，根據梁的轉角位移方程推導出半剛性連接的剛度矩陣，在單元剛度矩陣中考慮了節點柔性、幾何非線性和剪切變形的影響，並對固端力進行了修正，最後用增量迭代法編制有限元程序進行計算和分析。
  16. Matrix and vector template classes are defined based upon object - oriented technology ( oot ). the conventional computation among matrix, vector and number is realized by overriding operators. according to the property of matrix, the scanty reserve way of object data is used, and the computation between matrixes with different reserve way is realized. the template classes is versatile, the program codes can be effectively reused, maintained and extended

    基於面向對象技術定義了矩陣和矢量兩種模板類，利用運算符重載實現了矩陣、矢量和數之間的常規運算，對于具有不同特性的矩陣，採用了節省的貯存方式，並實現了不同貯存方式下矩陣相互之間的計算，表明所建立的模板類具有通用性，所開發的代碼可重復利用率高，而且易於維護和擴充。
  17. Ica as a new signal processing technique is used to determine the projection coefficient matrix which represents the features characterizing the current operating condition. multiple well - trained support vector machines use the projection coefficient matrix as their inputs to identify the fault

    獨立分量分析被用來從當前工況的數據矩陣中提取出代表當前工況特徵的投影系數矩陣，而這些投影系數矩陣則被用來訓練多個支撐向量機，從而利用它們實現故障類型的識別。
  18. This fact gives us sufficient proof of setting matrix and geometrical transformation in domestic schools, the great education value of matrix and geometrical transformation, such as cultural value, intelligence value, application value, was discussed in succession, and several excellent examples in using were given. a systematic instruction design about matrix and geometrical transformation based on their logical system in senior high schools, aiming at the gain of knowledge and cultivation of capability, is given. after this, the learning analysis, contents analysis, target analysis, strategies making, fixing of teaching process, exploitation of instruction resource, implement, and evaluation were made

    本研究首先綜述了主要發達國家高中數學課程中矩陣與幾何變換的設置情況，這些國家的高中數學課程中均有矩陣與幾何變換的內容，這一事實為國內高中開設矩陣與幾何變換這一選修專題提供了橫向參照依據；研究了矩陣與幾何變換的巨大教育價值，表現在它的文化教育價值、智力教育價值與實際應用價值，並舉例加以了說明；根據矩陣與幾何變換作為數學知識自身所具有的邏輯體系，採用現代教學設計的「系統設計法」 ，嘗試進行了「以培養學生獲取新知識能力為目的的」教學設計，其中包括學習需求分析、教學內容分析、學習者分析、教學目標闡明，教學策略制定、教學過程確定、教學資源開發、教學實施、教學評價等環節。
  19. First this article chooses twenty - two representative indexes from technological innovation environment, technological innovation behavior and technological innovation outcome based on the research findings both here and abroad. then it makes sure the proportion of every index by the analytic hierarchy process and makes the evaluation on the technological innovation of industry by the level index, development index and harmony index. at last it makes the evaluation on the technological innovation of suzhou manufacturing based on the data of suzhou manufacturing from year 2001 to 2003

    本文首先在分析國內外產業技術創新能力評價的基礎上，從產業技術創新環境、產業技術創新行為和產業技術創新績效三方面選取22個具有代表性的指標構建產業技術創新能力評價指標體系;其次運用層次分析法構造判斷矩陣，確定出各個單項指標的權重，提出產業技術創新水平指數、發展指數和協調指數，對產業技術創新能力進行綜合評價;最後，依據建立的指標體系，以蘇州製造業為例，以蘇州製造業2001年至2003年技術創新環境、創新行為和創新績效數據為基礎，對蘇州製造業技術創新能力進行較為合理的評價，為相關部門提供決策依據。
  20. The integrative chilling damage index successions of 22 representative stations for 44 years were calculated. let those successions consist of a matrix. do eof to the matrix and get two meaningful eigenvector fields, and therefore two main patterns about the spatial distribution of winter chilling damage in guangdong was found : the whole distribution pattern and the south - north distribution pattern

    計算了22個代表站44年的綜合寒害指數序列，構成一個綜合寒害指數序列的時變矩陣，對該矩陣進行自然正交分解，獲得了2個有意義的特徵向量場，由此發現廣東冬季寒害的地域分佈主要有2種型式：整體分佈型和南北分佈型。
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