矩陣加法 的英文怎麼說
中文拼音 [jǔzhènjiāfǎ]
矩陣加法
英文
addition of matrices-
And then, some common methods of gdm, such as the ahp method, the weighted geometric mean method ( wgmm ), the borda - kendall method, the minimum variance ( mv ) method, the clustering analytic method, the cook - seiford distance measure, cb measure, the maximum and the minimum expected values, the concordance and discordance indices, etc., are used to discuss some consensus problems of gdm, including the consistency of the complex judgment matrix in ahp, the consensus methods of the aggregation of individual preferences ; the aggregation of analytic hierarchy process methods based on similarities in decision makers " preferences, a consensus measure on multiple criteria group decision making
接著本文採用了群體決策中常用的一些方法（如： ahp法，加權幾何平均法， borda - kendall方法，最小方差法，聚類分析法， cook - seiford距離測度法， c _ b測度法，最大最小期望值法，一致性非一致性指標法等）對群體決策中的幾個一致性問題進行了研究，這些問題包括： ahp中復合判斷矩陣的一致性，個體偏好序集結的一致化方法，基於決策者偏好相似性的層次分析模型的集結中的一致性問題和多準則群體決策的一致性測度。For the anticounterfeiting of printings ( such as certificate ), the existent many ways ( such as rainbow holograms ) are not available as the need for special use : anti - distortion and anti - copy. basing in the double - random - phase transform, this article puts forward a new way that two - dimensional bar code is used as anticounterfeiting label with anti - printing ? scanning and anti - damage properties. the major job are : ( 1 ). basing in the ascii codes, numerals and alphabets are encoded and subsequently transformed into two - value bar code matrix figure. later, using amplitude - based double - random - phase transform, the enciphered gray scale figure is formed. by computer simulation ( 4f system ) and printing as well as scanning ( 20 times ), we get the result that the gray scale figure with little miscoding rate ( 0. 0026 ) by “ matrix expanding way ”
本文主要開展了以下三項研究工作: （ 1 ） .用自定義編碼方案，將數字和字母（ ascii碼）轉換成二值條碼圖;對該圖形進行振幅型雙隨機相位加密變換，得到原信息的加密灰度圖;通過4f光學系統計算機模擬和列印-掃描實驗，證明本文提出的「矩陣擴展法」灰度圖具有較小的誤碼率，對於20次列印-掃描實驗，誤碼率不大於0 . 0026 。Vol. 121 of the ima volumes in mathematics and its applications, springer - verlag, berlin heidelberg, 2000, pp. 59 - 82. 9 murray j d. mathematical biology ii : spatial models and biomedical applications. 3rd edition, springer verlag, january 2003, pp. 141 - 191
這樣，在存儲四個浮點數后，旋轉計算時，只需要12次加法和12次乘法將四元組轉為矩陣，並對一個頂點只進行6次加法和9次乘法。Considering the nonuniqueness and instability of ultrasonic computerized tomography for structural concrete as well as the ultrasonic transmission characteristics in concrete, a natural weight matrix with dear physical meaning was introduced in the inverse algorithm
摘要針對混凝土超聲波層析成像結果不唯一和穩定性差的問題，首先依據超聲波在混凝土中的傳播特點，在反演演算法中引入物理意義明確的自然權矩陣，對走時較小的射線和射線較密的成像單元加以重權。Additive preservers of rank on rectangular matrices over fields
域上長方矩陣空間的加法秩保持The temperature effect which has been calculated is taken as " thermal load " forced on the body, then such thermal stress is settled as general elasticity mechanics question ; secondly, the thermal stress is taken as " surface force " forced on the body, and the new system stiffness is formed which include the extra stiffness matrix, then it changes the nature frequency of the structure
首先，這篇論文介紹溫度場和熱應力場的有限元方法，建立了三維熱傳導模型計算有溫度場產生的熱應力，計算熱應力時運用了一種轉化思維：將溫度處理為「溫度載荷」 ，這樣就能用彈性力學問題的處理方法來求解熱應力。其次，將熱應力作為結構的「面內力」 ，而面內力產生附加的幾何剛度矩陣，改變了結構的剛度，影響了結構的固有頻率。In this thesis, studies are focused on as follows : ( 1 ) based on analyzing the general transfer - matrix, the conception of the generalized double layer soil model is proposed, and the transfer - matrix ( r ) of half - infinite elastic mass is introduce - d to the analytic expressions of stress and settlement under the uniform circular, rectangular and strip vertical loads in multi - layered soil ; ( 2 ) according to the analytic expressions of the additional stress and settlement under unifo - rm circular in multi - layered soil, rectangular and strip vertical loads, the programs are develop - ed to resolve and debugged. the results show that the programs are correct ; ( 3 ) through calculating the coefficient of additional stress on the central axis of uniform circ - ular vertical loads, under the corner point of the uniform rectangular vertical loads, and on the central axis of uniform strip vertical loads, and the settlement on the center of uniform circular vertical loads and uniform rectangular loads in double - layered soil, the characters of stress and settlement are discussed ; ( 4 ) a case, as an example, is studied with different calculation methods, such as traditional theory, fem. the results obtained are compared
本文在已有研究成果的基礎上進一步開展了以下幾方面的研究： （ 1 ）在對層狀地基傳遞矩陣法中的總傳遞矩陣分析的基礎上，提出了廣義雙層地基模型的概念，並把半無限體的傳遞矩陣r引入到多層地基在圓形垂直均布荷載、矩形垂直均布荷載及條形垂直均布荷載作用下附加應力與沉降的解析式中； （ 2 ）根據多層地基在圓形荷載、矩形垂直均布荷載及條形垂直均布荷載作用下附加應力與沉降的解析式，編制了程序，調試通過並驗證了其正確性； （ 3 ）通過對雙層地基圓形垂直均布荷載中心軸線上的附加應力系數和荷載中心沉降，矩形垂直均布荷載角點下的附加應力系數和荷載角點沉降及條形垂直均布荷載中心軸線上的附加應力系數進行的計算，探討了雙層地基中的附加應力與沉降特性； （ 4 ）應用本文的層狀地基體系理論對一個工程實例進行了計算分析，並與傳統的計算方法的計算結果和有限單元方法的計算結果進行了對比分析，結果表明利用層狀地基理論計算更能反映地基中附加應力分佈的實際情況。Through ( multi - level ) bordered block partition of the power system topology matrix, a bbdf coefficient matrix which is suitable for above decomposition is formed. when the equation is solved with parallel iterative method, convergence acceleration is achieved through damping newton method
通過採用（多重）對角加邊的方法進行電力網路拓撲分割，以形成適合以上分解法求解的對角加邊形式的系數矩陣，并行求解后並對迭代過程進行阻尼牛頓法修正，以達到加速收斂的作用。With the development of the network and the multi - processor system, the research, simulation and the impemeni of the system - level fault diagnosis which is the very important means to increase the reliability of the system, are becoming more and more important. on the system - leve1 fault diagnosis, based on the group theory of system - level fault diagnosis that has been put forward by pro f zhang, the paper constructs newly the theory bases, improves on the matrix method, reinforces and consummates group arithmetic of all kinds of test mode, for the first time, analyses and discusses the equation solution of all kinds of models, so al1 the consistent fault patterns ( cfp ) could be found, straightly and high efficiently, even if the sufficient and necessary condition of t - diagnosable is dissatisfied and the complexity of system - level fault diagnosis is greatly decreased, especialy in strong t - diagnosabl6 system. last the simulation system ' s function has been extended and the application hotspot and the development trend have been disscussed
本人在張大方教授等人提出的基於集團的系統級故障診斷的理論基礎上，重新構建了系統級故障診斷的理論基礎，定義了系統級故障診斷測試模型的三值表示；改進了系統級故障診斷的矩陣方法，重新定義了測試矩陣、鄰接矩陣、結點對、結點對的相連運算、極大準集團和斜加矩陣，由此能直觀、簡便地生成集團和極大獨立點集；補充和完善了各類測試模型的系統級故障診斷的集團演算法，通過定義集團測試邊和絕對故障集，簡化了集團診斷圖，由此能較易地找到所有的相容故障模式，即使不滿足t -可診斷性，大大減少了系統級故障診斷的復雜度，尤其是對強t -可診斷系統；首次分析探討了各類測試模型的方程解決，由此從另一角度能系統地、高效率地求出所有的相容故障模式（ cfp ） ：擴充了系統級故障診斷模擬系統的功能，快速、直觀和隨機地模擬實驗運行環境，進行清晰和正確的診斷，同時提供大量的實驗數據用於理論研究，優化演算法和設計。The new ways that solve multiple objectives decision making under risk into probability permanent type : decision making diagram method, matrix analysis method, multiple objectives markov method, the shortest distance method, successive type variation multiple objectives decision making under risk method and fuzzy analysis decision making method. 3. the new modes that solve multiple objectives decision making under risk into probability interval type and uncharted type : weighted method and sorting method 4 the new repent average value criterion that handle multiple objectives decision making under risk into probability uncharted type and generalizing the criterions that have been used into one objective decision making under probability into uncharted type to multiple objectives decision making under probability into uncharted type. 5. giving the error analyses method and decision result regulating method that been used into multiple objectives decision making under risk
2 、探討了『決策圖法』 、 『矩陣法』 、 『多目標馬爾科夫法』 、 『最小距離法』 、 『連續型變量的多目標風險型決策法』和『模糊分析決策法』等解決概率固定型的多目標風險型決策的新方法。 3 、探討了『加權法』 、 『排序法』兩種解決概率區間型和未知型的多目標風險型決策的方法； 4 、在概率未知型的多目標風險型決策中改進了『後悔值準則』 ，提出了『後悔均值準則』 ；並將單目標概率未知型風險型決策的準則推廣運用到多目標概率未知型的風險型決策中去； 5 、探討了多目標風險型決策方法誤差分析及決策結果值調整的方法。2. dynamics analysis : by setting up jacon matrix differential coefficient sport is passed to descartes space. it makes terminal executing manipulator produce differential coefficient of acceleration and force in every different coordinates can be got. then the effective inertia, coincident inertia and gravity load of two manipulators are calculated by lagrange method. so generalized joint torque of each joint is got, and along with equivalent driving torque, actual driving torque of each joint can be worked out. 3
動力學分析：建立雅可比矩陣將關節空間的各關節的微分運動傳遞到笛卡爾空間，使末端執行器位姿產生微分運動，以用於求加速度及力在不同坐標系間的線性變換，再用拉格朗日法計算兩機械手的有效慣量、偶合慣量、重力載荷，從而計算得到各關節的廣義關節力矩，並與等效驅動力矩共同算得各關節的驅動力矩。Abstract : an integrated approach is proposed to investigate the fuzzy multi - attribute decision - making ( madm ) problems, where subjective preferences are expressed by a pairwise comparison matrix on the relative weights of attributes and objective information is expressed by a decision matrix. an eigenvector method integrated the subjective fuzzy preference matrix and objective information is proposed. two linear programming models based on subjective and objective information are introduced to assess the relative importance weights of attributes in an madm problem. the simple additive weighting method is utilized to aggregate the decision information, and then all the alternatives are ranked. finally, a numerical example is given to show the feasibility and effectiveness of the method. the result shows that it is easier than other methods of integrating subjective and objective information
文摘:研究了結合主觀和客觀信息的模糊多屬性決策問題，其中主客觀信息分別由屬性權重的兩兩比較矩陣和決策矩陣組成.提出一種結合主觀和客觀信息的特徵向量決策方法，給出了2種求解基於主客觀特徵向量法的模糊多屬性決策方法.這種方法通過求解2個線性目標規劃模型得到最優屬性權重，然後，通過對決策信息進行簡單的加權集結，得到所有方案的排序結果.最後，通過一個算例說明了該方法的實用性和有效性.結果表明，該方法要比其他主客觀結合多屬性決策方法簡單An integrated approach is proposed to investigate the fuzzy multi - attribute decision - making ( madm ) problems, where subjective preferences are expressed by a pairwise comparison matrix on the relative weights of attributes and objective information is expressed by a decision matrix. an eigenvector method integrated the subjective fuzzy preference matrix and objective information is proposed. two linear programming models based on subjective and objective information are introduced to assess the relative importance weights of attributes in an madm problem. the simple additive weighting method is utilized to aggregate the decision information, and then all the alternatives are ranked. finally, a numerical example is given to show the feasibility and effectiveness of the method. the result shows that it is easier than other methods of integrating subjective and objective information
研究了結合主觀和客觀信息的模糊多屬性決策問題，其中主客觀信息分別由屬性權重的兩兩比較矩陣和決策矩陣組成.提出一種結合主觀和客觀信息的特徵向量決策方法，給出了2種求解基於主客觀特徵向量法的模糊多屬性決策方法.這種方法通過求解2個線性目標規劃模型得到最優屬性權重，然後，通過對決策信息進行簡單的加權集結，得到所有方案的排序結果.最後，通過一個算例說明了該方法的實用性和有效性.結果表明，該方法要比其他主客觀結合多屬性決策方法簡單The main part of this hybrid algorithm is a chebyshev iteration which applies chebyshev polynomials to act on initial vectors and makes the obtained vectors close to the wanted eigenvectors ; the second one is the preconditioning subspace iteration method which uses a preconditioning matrix to impact the residual matrix obtained from the iteration procedure, so the distribution of eigenvalues is improved
第一個改進演算法是用chebyshev多項式加速的子空間迭代法，它是用chebyshev多項式作用初始向量，使其更接近所要求的特徵向量。第二個改進演算法是對每次迭代所得的殘余矩陣直接進行預處理以改善矩陣特徵值的分佈。For a general linear model ( input matrix is deterministic ), under a certain conditions on variance matrix invertibility, the two estimates can be identical provided that they have the same priori information on the parameter under estimation. even if the above information is unknown only for the optimally weighted ls estimate, the sufficient condition and necessary condition, under which the two estimates are identical, is derived. more significantly, we know how to design input of the linear system to make the performance of the optimally weighted ls estimation identical to that of the linear minimum variance estimation in case of being lack of prior information
在一般線性模型（即輸入矩陣為確定性）下，當兩種估計都利用有關被估參數的先驗信息時，二者在方差陣可逆的一定條件下可達到一致；當最優加權最小二乘估計不利用此先驗信息時，存在二者一致的充分條件和必要條件，進而找到一種設計輸入矩陣的方法，使得在先驗信息缺乏的條件下，仍可利用最優加權最小二乘估計達到與線性最小方差估計一樣優越的估計性能。In the first part, the basic knowledge of particle scattering in meteorology and physics was introduced. the particles to be discussed include aerosol particles, fog droplets and raindrops and the em wave band in the discussion is near - infrared. in the second part, the mie theory was briefly reviewed and was applied to investigate the scattering characteristics of spherical atmospheric particles, the result shows that in the visibility measurement meter using forward - scattering method, when the working wavelegth is between 0. 8 m ~ 2 m, the scattering angle is between 25 ~ 40, the distinguishability and the relative scattering intensity would be better than those under other conditions. in the third part, the superellipsoid was used to describe a wide range of shapes such as spheres. ellipsoids and cylinders. an improved t - matrix method which can be used to calculate arbitry shaped particle ' s scattering field was introduced, and the scattering characteristics of non - spherical atmospheric particles was investigated with this method
計算結果表明，從相對散射強度、同一方向上不同粒子散射的可區分程度來看，在散射式能見度探測儀器中，工作波長介於0 . 86 m 2 m ，探測角度選取前向25度40度時，探測的結果將會是比較理想的。第三部分中，使用超橢球方程來統一描述各種非球形粒子的形狀，然後使用t矩陣方法計算了一些形狀的非球形粒子的近紅外散射特性。另外，在本文中還針對球形粒子的散射場提供了一種三維可視化方法，使對散射場強度的空間分佈的理解更加簡單，直觀。You can accomplish this by using a matrix multiplication followed by a matrix addition
可通過先使用矩陣乘法再使用矩陣加法來完成此操作。According to this novel algorithm, the set of frequent items can be derived from the idea of k - weight - estimate, and next, association rules can be discovery according to the matrix - weighted confidence
該演算法首先根據k -權值估計思想找出頻繁項集，然後根據矩陣加權置信度找出關聯規則。A decoding algorithm based on transform and fast hadamard transform changes the matrix multiplication to the addition, subtraction and position exchanging among the matrix elements, so reduces the demand of the instrument for computer
基於變換和快速阿達瑪變換的解碼演算法，將矩陣乘法簡化為矩陣元素間的加、減運算和位置交換，降低了儀器對微機系統的要求。Finally, the effect of the diffraction aperture is studied during the course of reducing the scale of the diffraction aperture to the limit of the scalar diffraction theory
基於仙農（ shanon ）的組合邏輯設計理論，用光學矢量-矩陣乘法器對超前進位加法器模型的光學實現進行了數值模擬。分享友人