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adjoint
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  伴随
     Factorization of Adjoint Polynomials of Graphs G _i~(S*)(p,2(sum form j=1 to n)mj) with Application
     图G_i~(S*)(P,2(sum form j=1 to n)mj)的伴随多项式因式分解的图论方法及应用
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     Adjoint Uniqueness of Graphs with R(G) = -1
     R(G)=-1图的伴随唯一性
短句来源
     Adjoint Uniqueness of T(1,4,n)
     树T(1,4,n)的伴随唯一性
短句来源
     Adjoint polynomial of tree of T_(1,1,m,n) -shape
     T形树-T_(1,1,m,n)的伴随多项式
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     Generalized adjoint action for U_q(sl(2))
     量子群U_q(sl(2))的广义伴随作用
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  伴随矩阵
     The Properties and Application of the Adjoint Matrix A *, *A
     伴随矩阵A~*与~*A的性质及应用
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     (A *) *=|A| n-2 A(n>2). Some properties can be obtained form adjoint matrix of two matrix product and adjoint trace.
     (A ) =|A| n - 2 A(n >2 ) ,并得到了两个矩阵乘积的伴随矩阵伴随矩阵迹的一些性质 .
短句来源
     According to the properties of the determinants of rows and columns,two ways to get generalized inverse of matrix are given:1.The way of adjoint MatrixIf the determinant of rows (columns) |A|≠0 for m×n Matrix A,1|A|A~* is a generalized inverse of matrix A.
     利用行式和列式的性质,给出了两种求矩阵广义逆的方法:1.伴随矩阵法,若m×n矩阵A的行(列)式|A|≠0,则1|A|A*是矩阵A的广义逆.
短句来源
     Let H(F; a ,b) be a generalized quaternion algebra over the field F with char F≠2 Using the matrix transformation of maximal commutative subring, in this paper, we give the definition of adjoint matrix of a square matrix over H(F; a, b), obtain the sufficient and necessary condition of existence of the inverse matrix, and generalize Cramer's Rule to the right Linear equations over H(F, a, b).
     设H(F;a,b)是特征≠2域F的上广义四元数代数,利用极大交换子环的矩阵表示,本文定义了H(F;a,b)上方阵的伴随矩阵,得到逆矩阵存在的充分必要条件,并且推广Cramer法则到H(F,a,b)上右线性方程组。
短句来源
     This paper has proved that adjA=A(i(A),the relation between the adjoint matrix adjAand convergent index i(A) for a quasi reflexive matrix A(a matrix when the condition a(11)=…a(nm)a(ij) is met)over a distributive lattice L,and has obtained a necessary and sufficientcondition for the idempotency of A,namely A=adjA,and some properties related to th.adjoint matrix adjA.
     证明了分配格L上的准自反矩阵A(满足条件a(11)=···a(mn)≥a(ij)的矩阵)的伴随矩阵adjA与收敛指数i(A)之间的关系adjA=A(I(A).从而得到A幂等的一个充要条件为A=adjA及A的伴随矩阵adjA的一些性质。
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  “adjoint”译为未确定词的双语例句
     Subalgebras Generated by all Adjoint p-nilpotent Elements and Their Normalizers in Graded Lie Algebras of Cartan Type
     Subalgebras Generated by all Adjoint p-nilpotent Elements and Their Normalizers in Graded Lie Algebras of Cartan Type
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     Adjoint Sensitivity Analyses on the Anomalous Circulation Features in East Asian Summer Monsoon ①
     Adjoint Sensitivity Analyses on the Anomalous Circulation Features in East Asian Summer Monsoon
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     On the Limit—point Classification of Non—Self—Adjoint Operator D~2x~αD~2+x~β+ix~γ
     关于非自伴算子 D~2x~αD~2+x~β+ix~γ的极限点类
短句来源
     From the adjoint action α of G on C(G) , one have the Double algebra D(G)=C(G)× αG of group G .
     通过 G在 C(G)的共轭作用 α,可以得到群 G的 Double代数 D(G) =C(G)× αG.
短句来源
     A formula with second-order perturbation correction is obtained for the calculation NMR coupling constants by means of the unit operator consisting of non-orthogonal LMO and adjoint basis sets The electron densities at the carbon and hydrogen nucleus and the NMR coupling constants ~1J_(CH) for the CH_4, C_2H_4 and C_2H_2 were evalnated respectively.
     借助非正交定域分子轨道(简称为LMO)及其伴基所构成的单位算子,得到以LMO为基计算NMR偶合常数的二级微扰理论公式,并计算了CH_4、C_2H_4、C_2H_2分子碳原子和氢原子核上的电荷密度及NMR偶合常数~1J_(CH)。
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  adjoint
As an example of how this can be used, we show that the ring of invariants (under the adjoint action of SL (3)) ofg copies ofM3 is C-M.
      
The aim of this paper is to discuss a construction of a class of linear isomorphisms σ:S(g)→U(g) which commute with the adjoint representation.
      
The symmetric varieties considered in this paper are the quotientsG/H, whereG is an adjoint semi-simple group over a fieldk of characteristic ≠ 2, andH is the fixed point group of an involutorial automorphism ofG which is defined overk.
      
LetY be the space generated by the semi-invariants of under adjoint action.
      
Vinberg, and we establish a connection with the wonderful completion of the associated adjoint symmetric variety due to C.
      
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In this paper we studied the Maxwell's equations in imhomogeneous and anisotropic media as an operator. It is defined in a bounded region, which can be comprehended as a resonant cavity in micro-wave technique. But these cavities are filled with ferrite, plasma or other gyrotropic medium, all these new media become more and more important in practice. We proved that under some concrete conditions imposed on μ, e and restrictions on the boundary value, the operator of Maxwell's equations becomes a symmetric one....

In this paper we studied the Maxwell's equations in imhomogeneous and anisotropic media as an operator. It is defined in a bounded region, which can be comprehended as a resonant cavity in micro-wave technique. But these cavities are filled with ferrite, plasma or other gyrotropic medium, all these new media become more and more important in practice. We proved that under some concrete conditions imposed on μ, e and restrictions on the boundary value, the operator of Maxwell's equations becomes a symmetric one. The symmetry and self-adjoint property give much convenience in eigenfunction expansion problems. Besides, we derived the orthogonality of characteristic oscillation and reciprocity theorem in general.

在本文中,把在不均匀各向异性介质中的麦克斯韦方程看作算符,它定义在一个有界区域,可以被理解为微波技术中的谐振腔。但在这腔中充填着铁氧体,等离子体或其他各向异性介质,这些介质在应用中日益重要。文中证明了在某些、边界条件下,算符成为对称。而对称性和自伴性在本征函数展开中带来很多方便;此外我们推导了本征振动的正变性和互易定理。 如果不满足对称性,引入伴谐振腔的概念,所谓伴谐振腔在几何形状上和原来的腔相同,但、和边界条件不一样。它和自伴谐振腔在正交性和互易定理上有某些相似之处。

Based of the synoptic facts and the simple form of Green's function for the solution of the elliptic adjoint boundary-value problem, an iterative method suitable for solving the second-order elliptic self-adjoint partial differential equations arising in meteorology is given. It is quite general. The approximate methods, generally used in meteorology, such as Belousov's, Mashkovitch's, Fjortoft's and the extrapolated Liebmann's technique may be considered as special cases of the present method. Based...

Based of the synoptic facts and the simple form of Green's function for the solution of the elliptic adjoint boundary-value problem, an iterative method suitable for solving the second-order elliptic self-adjoint partial differential equations arising in meteorology is given. It is quite general. The approximate methods, generally used in meteorology, such as Belousov's, Mashkovitch's, Fjortoft's and the extrapolated Liebmann's technique may be considered as special cases of the present method. Based on the general form of the present method the accuracy and convergence of the above mentioned techniques may be examined and further the ways of improve them may also be given. As a numerical test of the present method, formula Ⅱ1 equation(2.7) was used in solving the balanced equation. Table 1 and 2 are the examples of the calculate results.

本文从天气学的事实出发,应用自共轭椭圆型边值问题解的简单格林函数表达式,建立适合解动力气象学中椭圆型方程狄氏边界值问题的数值迭代解法,这个方法有较普遍的意义。目前,气象中常用的近似方法——方法、方法、Fjortoft方法以及外推Liebmann方法都是本文所提方法的特殊情形。在本文所提方法的一般形式基础上,还可以对上述各种近似方法的准确度、收敛情况以及改进途径得到明确的了解。作者将公式Ⅱ_1用在数值解平衡方程的计算中,作为本文所提方法的数值计算的检验,试用结果表明本文所提方法有理论概括意义和实用前途。

The purpose of this paper is to present an alternating direction method involving a general parameter as an iterative technique for a more general class of self-adjoint ellip- tic difference equations in P rpace variables. In theorem 1, the conuergence of this itera- tion scheme is established for 4 certain range of this iteration parameter. In theorem 2. it is proved that. if aij=4ji = 0 (i ≠ j). the number of iterations reqiured in order to reduce an initial error by a preassigned factor it given...

The purpose of this paper is to present an alternating direction method involving a general parameter as an iterative technique for a more general class of self-adjoint ellip- tic difference equations in P rpace variables. In theorem 1, the conuergence of this itera- tion scheme is established for 4 certain range of this iteration parameter. In theorem 2. it is proved that. if aij=4ji = 0 (i ≠ j). the number of iterations reqiured in order to reduce an initial error by a preassigned factor it given by 0 (ln ), so that the total number of numerical operationsis 0 (h-pln ), for any arbitrary value of this iteration parameter within the convergence range. Finally we consider the greater-accuracy diffefe- nce equation approximation to the Laplacian operaior equation, for the case p=2,3. wheh this alternating direction iteration technique it adopted. the number of iterations required is again guien by 0 (ln ).

用差分法求解自共轭椭园型方程的第一边值问题时,使用交替方向法[1][2]具有很大的优越 性。本文对当空间维数力P时的这一类议程提出带某个实参数的交替方向格式,求出收敛的参数区 间,指出当aij=aji = 0(i≠j)时,对于收敛区域的任何参数,为使逐次近似达到指定的准确度所必 须实行的迭代数力0(ln  )。其次对2和3维的情况,考虑用高准确度的差分方程逼近Laplace算 子的微分方程时的线性方程组,建立了交替方向迭代格式,证明对所迭取的参数序列,为使误差缩 小一个因子 10-Q所必须突行的迭代数N仍为 0(ln )。特别孚P=2时,N≤-1.2Q logsin   ; 当P=3时,N≤-16.81 Qlogsin2  。由于此时比通常的差分方程的截断误差来得小,可以 期望,随着步长相应的放大,总的计算量不一定会增加。

 
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