零矩陣 的英文怎麼說
中文拼音 [língjǔzhèn]
零矩陣
英文
null matrix-
The zero or null matrix denoted by 0 is definde as a matrix all of whose elements are zero.
如果一個矩陣的所有元素都為零，則稱它為零矩陣。When a large proportion of the elements of a is zero, a is then called sparse.
當A的大多數元素都是零時，稱A為稀疏矩陣。The development of a visual short circuit software under ptcad2000 is presented in this paper, as well as the system structure, the definition of the data structure, the interface to ptcad2000, the conversion of the original wiring diagram of power network to calculable power network, the implement of three sequence network, the implement of impendence matrix and admittance matrix of power network considering the zero sequence mutual inductances among lines, and the implement of short circuit calculation by using computer
本文介紹了在ptcad2000平臺下短路電流可視化計算軟體的開發。介紹了軟體的系統結構、數據結構定義、與ptcad2000平臺的介面、電力系統原始接線圖轉成等值可計算網路、序網的生成、考慮零序互感線路阻抗時電網導納矩陣和阻抗矩陣的生成，以及故障點短路電流計算的計算機實現。When there is nozero object in category, the generalized inverse of morphisms are studied through the equa - alizer, the necessary and sufficient conditions for generalized inverse is obtained, and the relation between the linear equation and the equalizer is presented in matrix category
當范疇不具有零對象時，以態射偶的等化子為工具討論態射的廣義逆，並在矩陣范疇中建立了齊次線性方程組的解與等化子的關系。It exploits the structured of the hessian matrix of the objective function sufficiently. an attractive property of the structured bfgs method is its local superlinear / quadratic convergence property for the nonzero / zero residual problems. the local convergence of the structured bfgs method has been well established
它們充分利用了目標函數的hesse矩陣的結構以提高演算法的效率，該演算法的顯著優點是對于零殘量問題具有二階收斂性而對于非零殘量問題具有超線性收斂性。Also, by the means of the pattern of matrix and the pattern of linear operator, we characterize the linear operators that strongly preserve nilpotence and that strongly preserve invertibility over antinegative commutative semirings without zero divisors
另外，利用矩陣模式和運算元模式等工具，我們在非負無零因子半環上刻畫了強保持冪零的線性運算元和強保持可逆的線性運算元Research on modulation strategy of matrix converter to reduce common - mode voltage
用於抑制矩陣變換器共模電壓的零輸出換相策略The judgment of the element to be zero in calculating the energy - hamiltonian - matrix in the crystal - field theory
晶體場理論計算能量哈密頓矩陣中為零矩陣元的判別But the original blast algorithm has a very high computational cost because of the nulling and cancellation step. on the other hand, the algorithm also needs an optimal detection ordering to restrain the effect of error propagation and improve the detection reliability
常規blast演算法由於需要進行大量的線性迫零（矩陣求逆）和串列符號刪除等運算，計算復雜度非常高，另一方面，演算法還需要尋找最優的信號檢測順序來消除誤差傳遞的影響。The appearance position of hot - image satisfied the rule of z2 = z1 - lv, z2 is mean the image distance, z1 is mean the object distance, and lv is mean the distance between the nonlinear medium. the theory is also validated by the optical propagation software. if n = 1, then the nonlinear medium is only one, lv = 0, and it will satisfy the rule z2 = z1
四、從非線性近軸波動方程基礎上用散射矩陣理論推導了級聯介質的熱像規律，得出級聯介質的熱像位置滿足z2 = z1 - lv ，其中z2為像距， z1為物距， lv為級聯介質間的距離，並用光傳輸軟體得到了驗證;發現級聯的非線性介質可以看成單一的非線性介質相連，散射點對級聯介質的每一段非線性介質成像;當只有一段非線性介質時，可以認為lv為零，滿足z2 = z1 。Firstly, the paper introduces the principle of instituting contact interface element and the format of integral method for element stiffness matrix ; secondly, because of the zero of displacement and load of soil in the infinite boundary, the unique shape of element stiffness matrix is obtained for coupling the three different elements
文中首先闡述了接觸元建立的方法以及單元剛度矩陣的積分方法；由於無限遠處的土場位移、地震作用力皆為零，計算中對該單元剛度矩陣的形式不同於四節點等參元，文中推導了平行無限元的單元剛度拒陣方，並介紹了無限元單元剛度矩陣組裝原理。Specifically, according to the w - w five parameters failure theory, the fracture criterion of crack is established, and the state of crack ( open or close ) is judged by the values of the crack strain. combining the two points, the predict - model about the failure of concrete material is established. this predict - model can predict 16 failure forms, and basing the different failure form predicted after crack, the stress - strain relationship matrix of concrete material is adjusted
具體來講，根據w - w的五參數混凝土破壞理論，建立混凝土的開裂準則，根據開裂應變值來判斷裂縫是張開還是閉合，從而在兩者基礎上建立了裂縫的開裂預測模式，總共有16種開裂模式；裂后根據具體的開裂模式及殘余抗剪能力來調整混凝土的本構關系矩陣，即用等效剛度代替原有剛度，考慮到垂直於裂縫方向的剛度為零，這樣會使裂后的總剛出現病態，為此文中通過引用鬆弛系數來對出現裂縫的單元進行預處理，一方面可解決因過大的舍入誤差導致計算結果的不可信問題，另一方面就是可加速收斂。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The enumeration of equivalence class of 3 - nilpotent matrices
冪零矩陣的相似等價類的計數In this paper, we shall characterize the linear operators that strongly preserve nilpotent matrices and that strongly preserve invertible matrices over boolean algebras and antinegative semirings without zero divisors
本文將刻畫在布爾代數和非負無零因子半環上強保持冪零矩陣和可逆矩陣的線性運算元The astringency, error and stability of the numerical method are researched. zero matrix method, constant matrix method, and jacobian matrix method are constructed in order to improve numerical precision and efficiency. the steps for calculating matrix exponential function using pade approach method are given out
研究了所提西安理工大學博士學位論文數值計算方法的誤差、穩定性、收斂性等數學性質，在計算精度和計算效率兩方面提出了一些改進措施，構造了零矩陣法、常數矩陣法、雅可比矩陣法等計算格式，給出了利川pade逼近計算矩陣指數函數的求解步驟。Nilpotent matrix and nilpotent linear transformation
冪零矩陣和冪零線性變換This paper first presents the definition of nilpotent matrix and then moves on to discuss certain properties of them
本文先給出冪零矩陣的定義，然後討論了它的若干性質。In this note we describe explicitly the subalgebras of nilpotent matrices and obtain some interesting results
摘要本文較詳細地描述了冪零矩陣子代數，並且獲得了一些有趣的結果。Its properties are frequently used and discussed in the study of matrix and related mathematical knowledge
我們在研究矩陣及學習有關數學知識時，經常要討論冪零矩陣的性質。分享友人