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integral     
相关语句
  积分
    Theory and Method of Generalized Inverse Function-Valued Padé Approximation and Its Applications in Fredholm Integral Equations
    广义逆函数值Padé逼近的理论与方法及在Fredholm积分方程中的应用
短句来源
    The Mechanical Quadrature Methods with the High Accuracy and Splitting Extrapolations for Solving Boundary Integral Equations of the First Kind of Scientific and Engineering Problems on Nonsmooth Domains
    非光滑域上科学与工程问题的第一类边界积分方程高精度机械求积法与分裂外推
短句来源
    Functional Valued Padé-type Approximant and Degeneracies of Generalised Inverse Funtion-valued Padé Approximant and Applications in Integral Equations
    函数值Padé-型逼近与退化的广义逆函数值Padé逼近及在积分方程中的应用
短句来源
    On the Numerical Solution for Singular Integral Equations with Cosecant Kernel
    含余割核奇异积分方程数值解法
短句来源
    The Super-convergence Methods for Solving First Kind Weakly Singular Volterra Integral Equations
    第一类弱奇异Volterra积分方程的超收敛技术
短句来源
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  积分的
    PROPERTIES OF STIELTJES INTEGRAL OF ORDER 2
    关于二级斯梯节积分的一些性质
短句来源
    The Existence of Riemann-Stieltjes Integral
    黎曼—斯帝捷积分的存在条件
短句来源
    On the Singular Function Expansion of Integral of ×G_(m2)('非汉字符号') in Rectangular Wave Guide
    矩形波导×G_(m2)('非汉字符号')的积分的奇异函数展开
短句来源
    AN IMPROVEMENT ON RICE'S INTEGRAL
    Rice积分的改进
短句来源
    Convergence Theorems of Fuzzy Integral for Distribution Functions
    关于分布函数的Fuzzy积分的收敛定理
短句来源
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    Uniform Approximation by Integral Funcions of the Order ρ to the Functions on a Jordan Region of The Index ρ
    用ρ级的函数来匀迫于指示数ρ的若当区域上的函数
短句来源
    THE INTERPOLATION TO INTEGRAL KNOTE BY BIVARIATE SPLINES OF S_2~1(△_(mn)~((2)))
    S_2~1(△_(mn)~((2)))上的节点插值
短句来源
    On the Integral Tree of Diameter R when 3≤R≤6
    关于直径R(3≤R≤6)的
短句来源
    INTEGRAL TREES OF DIAMETER 5
    直径为5的
短句来源
    Table of the Number of Integral points in the circle and its Application
    圆内点数目表及其应用
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  整数
    SOME PROPERTIES OF A--PROPER MAPPINGS WITH SINGLE--VALUED INTEGRAL DEGREE
    具单值整数度的A-Proper映射的某些性质(二)
短句来源
    The Congruence Similarity for Orthogonal Symmetric Matrices on the Integral Ring Z
    整数环Z上正交对称阵的合同相似
短句来源
    The Formula on the Number of Non-negative Integral Solutions of the Indeterminate Equation qx+2qy+rz=n
    不定方程qx+2qy+rz=n的非负整数解组的计数公式
短句来源
    Representation of Sum of Matrix Squares on Gauss Integral Ring
    高斯整数环上矩阵的平方和表示
短句来源
    SIMULTANEOUS ESTIMATION AND GENERALIZED BAYES ESTIMATION OF INTEGRAL POWER FOR POISSON DISTRIBUTION' S PARAMETER
    泊松分布参数的整数幂的联立估计和广义Bayes估计
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  integral
For these polynomials we prove an integral representation, a combinatorial formula, Pieri rules, Cauchy identity, and we also show that they do not satisfy any rationalq-difference equation.
      
In particular, we prove an integral formula for the degree of an ample divisor on a variety of complexity 1, and apply this formula to computing the degree of a closed 3-dimensional orbit in any SL2-module.
      
Essential Dimension of Algebraic Groups and Integral Representations of Weyl Groups
      
Let k be an integral domain, n a positive integer, X a generic n × n matrix over k (i.e., the matrix (xij over a polynomial ring k[xij] in n2 indeterminates xij), and adj(X) its classical adjoint.
      
We show that the structure of a block outside the critical hyperplanes of category O over a symmetrizable Kac-Moody algebra depends only on the corresponding integral Weyl group and its action on the parameters of the Verma modules.
      
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Using the Jocobi’s method, a first intergal of the differential equation of geodesics on the surfaces of Liouville is given, it is a result of Liouville. The present paper contains an extension of the theory, by vector method it finds the following rsult: If the element of the are of the hypersurfaces in the Euclidean space of four dimensions is given by where U, P are only of functions of u; V, Q are only functions of v; W, R are only functions of w. Then a first integral of the differential equations...

Using the Jocobi’s method, a first intergal of the differential equation of geodesics on the surfaces of Liouville is given, it is a result of Liouville. The present paper contains an extension of the theory, by vector method it finds the following rsult: If the element of the are of the hypersurfaces in the Euclidean space of four dimensions is given by where U, P are only of functions of u; V, Q are only functions of v; W, R are only functions of w. Then a first integral of the differential equations of geodesics on the by persurfaces is given by where cosφ_1, cosφ_2, cosφ_3 are the direction-cosines of the geodesics on the hypersurfaces.

李乌菲尔(Liouville)应用雅各比(Jocobi)的方法,利用曲面有等温参数时线性元素的特殊形式,很简单地积分就求出了短程线之有限方程。本文将此结果推广于四维空间,得到了下述结果。结果超曲面之线性元素可以写成其中(),P仅为u之函数;,Q仅为v之函数;,R仅为w之函数。则超曲面上短程线之有限方程: 其中依次为短程线与参数曲线u,v,W之夹角。

The boundary value problem of a transonic jet formulated in the hodograph plane is to solve the Tricomi's equation, uxx-xuyy=0, in both subsonic (elliptic) and supersonic (hyperbolic) regions. It is known that this problem involving the mixed-type equation can be reduced to a purely elliptic typo. Since the general solution is available in the hyperbolic region, a functional relation between the sfcream function and its derivative can be formed along the sonic line and serves as an additional condition for the...

The boundary value problem of a transonic jet formulated in the hodograph plane is to solve the Tricomi's equation, uxx-xuyy=0, in both subsonic (elliptic) and supersonic (hyperbolic) regions. It is known that this problem involving the mixed-type equation can be reduced to a purely elliptic typo. Since the general solution is available in the hyperbolic region, a functional relation between the sfcream function and its derivative can be formed along the sonic line and serves as an additional condition for the flow in the elliptic region. However, a direct approach proved to be still difficult. This difficulty is overcome by constructing another functional relation based on the bovmdary condition in the elliptic region. The two functional relations which must be compatible enable us to determine either the stream function or its derivative on the sonic line. Consequently, the original problem is reduced to an inversion of a singular integral equation of Cauchy-type. The inversion is carried out by using Carleman's method which is to transform the singular integral equation into a Hilbert-Riemann problem.

本文所討論的二維跨声速射流的問題需要在速度圖內求屈科米方程的解。我們先利用了此方程在超声速区域的一般解,从而得出流函数和其偏微商在声速綫上的函数关系,把本题簡化为一个純亞声速的边界值問題。可是直接求解仍有困难。在克服这个困难时,我們根据亞声速区域内的边界条件,找出声速綫上的流函数和其偏微商的另一函数关系。从这兩个互不抵触的关系,便可以决定声速綫上之流函数值或其偏微商。

General relations between the field equation and the commutator of quantized field are obtained by means of the field equation itself and some invariant requirements. From the requirement of invariant under the transformation of charge-conjugation, the connection between spin and statistics of the field, determining whether the quantization of Fermi or Bose should be used for a certain field, is found. Generalizing the relation between the variation of transformation matrix of state vectors defined by fields...

General relations between the field equation and the commutator of quantized field are obtained by means of the field equation itself and some invariant requirements. From the requirement of invariant under the transformation of charge-conjugation, the connection between spin and statistics of the field, determining whether the quantization of Fermi or Bose should be used for a certain field, is found. Generalizing the relation between the variation of transformation matrix of state vectors defined by fields quantities on different space-like surfaces, and the variation of the action integral, which has been derived by SchWinger, an expression of S-matrix, in which the interaction Lagrange density replaces the interaction Hamiltonian density, is obtained. The same result has been obtained by after some cumbrous derivations based on certain general principles.

利用场方程及一些协变要求,作者导出场量子化条件及对易子与场方程的一般关系,并由电荷共轭不变的要求决定对费米(Fermi)或波色(Bose)量子化方式的选择,即决定自旋与统计的关系。

 
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