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维数     
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  dimension
     A Study on the Fractal Theory and the Real-time Computing of the Fractal Dimension of Images
     分形理论及图像分形维数实时计算的研究
短句来源
     Certain problems on local dimension and The Sum theorem in dimension theory
     关于局部维数维数论中加法定理的某些问题
短句来源
     The Elliptic Dimension of a Bordered Riemann Surface with Null Ideal Boundary
     零理想边界的镶边Riemann曲面的椭圆维数
短句来源
     FP—INJECTIVE(FP—FLAT)DIMENSION AND FPQ RINGS
     FP-内射、FP-平坦维数与FPQ环
短句来源
     ON THE HAUSDORFF DIMENSION OF A CANTOR TYPE SET IN N-DIMENSION EUCLID SPACE
     n维欧几里得空间中一类康托型集的Hausdorff维数
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  dimensions
     On the Tensor Product of Left Modules and Their Homological Dimensions
     左模的张量积及其同调维数
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     Transformation of Elastic Scattering Angular Distribution from Tabular Data of Two Dimensions into Spherical Harmonic Expansion
     弹性散射角分布二维数表向球谐展开形式的转换
短句来源
     A STUDY ON THE RELATIONSHIP BETWEEN BODY WEIGHT AND BODY DIMENSIONS IN FISH
     鱼类的重量-身体维数关系的研究
短句来源
     A Class of Multivariable Self-Tuning Controller with Different Dimensions in Inputs and Outputs
     一类输入和输出维数不同的多变量自校正控制器
短句来源
     On Dimensions of Rings of Linear Transformations in Infinite Dimensional Vector Spaces
     关于无限维向量空间的线性变换环的维数
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  dimensional
     AXIAL VECTOR WARD IDENTITIES AND DIMENSIONAL REGULARIZATION IN RENORMALIZABLE SU(2)_L×U(1)_X MODEL
     可重整的SU(2)_L×U(1)_Y模型中的轴矢Ward恒等式和维数正规化
短句来源
     The paper constructs the type of generalized three dimensional Sierpinski -2n+1(n∈N) sponge and find out its Hausdorff dimension s=ln(n+1) 3/ln(1/ε). by making use of the contraction of identical mapping which meets the open set conditions.
     文章构造了一类三维Sierpinski- 2n +1(n∈N)海绵 ,利用满足开集条件的压缩自相似映射的性质 ,给出它们的Hausdorff维数s=ln(n +1) 3 ln(1 ε) .
短句来源
     Using the method of dimensional regularization we have obtained the tensor of lowest order photon-photon scattering amplitude at k1=k2 = k3 =k4 = 0, which is completely in agreement with other regularization technigues.
     应用维数正规化的方法,得到四秩光子—光子散射张量在k_1=k_2=k_3=k_4=0时的表达式与通常正规化的结果是一致的。
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     RESULTS D 2 (D 2=4.52±0. 51) was significantly lower in the Alzheimer patients as compared with controls (D 2=3.87±0.45) (P<0.05). CONCLUSION We found decreased dimensional complexity in the EEG of the Alzheimer patients.
     结果 老年痴呆患者的相关维数 (D2 =4.5 2± 0 .5 1)较正常对照组 (D2 =3.87± 0 .45 )要低(P<0 .0 5 ) .
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     DIMENSIONAL PROPERLIES OF BROWNIAN MOTION ON SG(2.2)
     SG(2,2)上布朗运动的维数性质
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  dimension of
     A Study on the Fractal Theory and the Real-time Computing of the Fractal Dimension of Images
     分形理论及图像分形维数实时计算的研究
短句来源
     The Elliptic Dimension of a Bordered Riemann Surface with Null Ideal Boundary
     零理想边界的镶边Riemann曲面的椭圆维数
短句来源
     ON THE HAUSDORFF DIMENSION OF A CANTOR TYPE SET IN N-DIMENSION EUCLID SPACE
     n维欧几里得空间中一类康托型集的Hausdorff维数
短句来源
     On the Harmoic Dimension of an Open Riemann Surface of the Class OG
     关于开O_G Riemann曲面的调和维数
短句来源
     THE HAUSDORFF'S DIMENSION OF CP MODEL FOR QUASI-CRYSTAL
     CP准晶结构模型的Hausdorff维数计算
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  dimension
The paper studies generic commutative and anticommutative algebras of a fixed dimension, their invariants, covariants and algebraic properties (e.g., the structure of subalgebras).
      
We study discrete (Kleinian) subgroups of the isometry group Iso+H4 of the real hyperbolic space of dimension 4.
      
the volume computations involve several different methods according to the parity of dimension, subgroup relations and arithmeticity properties.
      
It is well-known that the ring of invariants associated to a non-modular representation of a finite group is Cohen-Macaulay and hence has depth equal to the dimension of the representation.
      
A counterexample to Hilbert's Fourteenth Problem in dimension six
      
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  dimensions
These spaces of coinvariants have dimensions described in terms of the Verlinde algebra of levelk.
      
For this, we show that these multiplicities are bounded from above by the dimensions of certain Demazure modules.
      
The present work presents conditions on ? for which the transform relation holds in the classical sense, and extends this result to a class of generalizations of the Poisson formula in any number of dimensions.
      
Furthermore, we generalize the sufficient and necessary conditions of orthogonality given by Lawton and Cohen to the case of several dimensions and arbitrary dilation matrix A.
      
The mathematical theory usually addresses this problem in infinite dimensions (typically in L2 (?) or ?2(?)), whereas numerical methods have to operate with a finite-dimensional model.
      
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  dimensional
In the case of 4-dimensional anticommutative algebras a construction is given that links the associated cubic surface and the 27 lines on it with the structure of subalgebras of the algebra.
      
In the case of 3-dimensional commutative algebras a new proof of a recent theorem of Katsylo and Mikhailov about the 28 bitangents to the associated plane quartic is given.
      
Reductive group actions on affine quadrics with 1-dimensional quotient: Linearization when a linear model exists
      
We prove that if a reductive group action on an affine quadric with a 1-dimensional quotient has a linear model, then the action is linearizable.
      
We describe a procedure for constructing monomial bases for finite dimensional irreducible representations of complex semisimple Lie algebras.
      
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  dimension of
It is well-known that the ring of invariants associated to a non-modular representation of a finite group is Cohen-Macaulay and hence has depth equal to the dimension of the representation.
      
Essential Dimension of Algebraic Groups and Integral Representations of Weyl Groups
      
The essential dimension of a g-dimensional complex abelian variety is
      
We compute the Buhler-Reichstein essential dimension of a complex abelian variety using Kummer theory.
      
Here, alg-rk(W) is the maximal Z-rank of abelian subgroups of W, and rk(|W|0) is the maximal dimension of isometrically embedded flats in the CAT0-realization |W|0.
      
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