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The basic tool is the decomposition ofN pairs of free charged bosons with respect toglN and the commuting withglN Lie algebra of infinite matrices?l.
      
Some basic properties of the compactness propertiesCn are shown.
      
First appeared in passing in the basic paper of O.
      
Our basic tool is Lusztig's canonical basis and the string parametrization of this basis.
      
The proof uses basic results about algebraic surfaces.
      
Our basic tool is the representation theory of the Burkhardt group G = G25 920, which acts on our varieties.
      
In this paper we introduce, and study some basic properties of, the algebra of reciprocal polynomials A(V).
      
The Poisson summation formula is a basic tool throughout.
      
The basic technique uses factorization of group elements and Gel'fand-Tsetlin bases to simplify the computations, and may be extended to treat the computation of Fourier transforms of finitely supported distributions on the group.
      
We present here a self-contained derivation, building the decomposition from basic principles such as the Euclidean algorithm, with a focus on applying it to wavelet filtering.
      
The characterization of low pass filters and some basic properties of wavelets, scaling functions and related concepts
      
The main emphasis is on Hardy spaces and boundary value problems, and our aim is to identify the geometric and analytic assumptions guaranteeing the validity of basic results from complex function theory in this general setting.
      
In particular, we establish basic properties like boundedness or Schatten class membership of the resulting operators.
      
In this article we summarize the basic formulas of wavelet analysis with the help of Poisson wavelets on the sphere.
      
These wavelets have the nice property that all basic formulas of wavelet analysis as reproducing kernels, etc.
      
This compares very favorably with the direct O(B6) algorithm derived from a basic quadrature rule on O(B3) sample points.
      
Numerical and empirical results are presented establishing the empirical stability of the basic algorithm.
      
Nanotechnology industry is currently in an equivalent infant stage, but several basic breakthroughs have been made.
      
Some basic theorems which characterize major-efficient solutions and weakly major-efficient solutions of multiobjective programming are stated and proved.
      
Smith [11] and Grangeat [5] even derived cone-beam inversion formulas which are the basic work in fully 3-D image reconstruction algorithm and are used extensively now.
      
 

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