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We find a connection between the character ofVnλ and the respective weight polytopes.
      
First we show that the representation ofG×G on eachG-biinvariant irreducible reproducing kernel Hilbert space in Hol(D) is a highest weight representation whose kernel is the character of a highest weight representation ofG.
      
For a classical semisimple Lie algebra, we construct equivariant line bundles whose global sections afford representations with a nilpotentp-character.
      
Under the obvious restriction map, the space of biinvariants is proved isomorphic to the Weyl group invariants of the character group ring associated to the restricted roots.
      
Finite complex reflection groups have the remarkable property that the character field k of their reflection representation is a splitting field, that is, every irreducible complex representation can be realized over k.
      
When one expands a Schur function in terms of the irreducible characters of the symplectic (or orthogonal) group, the coefficient of the trivial character is 0 unless the indexing partition has an appropriate form.
      
The assumptions on λ are rather weak and of local character.
      
By producing a L2 convergent Neumann series, we prove the invertibility of the elastostatics and hydrostatics boundary layer potentials on arbitrary Lipschitz domains with small Lipschitz character and 3D polyhedra with large dihedral angles.
      
Taking advantage of living polymerization character, functional block copolymers PSt-b-P (MA-co-AGE) were prepared in the presence of PSt RAFT agent.
      
Unfortunately, the two compounds were not liquid crystals and had no biaxial nematic mesophase character as expected.
      
Whatever its scale or its increase makes the Internet take on a complex network character.
      
This segmentation system which has promising results is then incorporated into a complete bank check character recognition system.
      
Traditional layout-reconstructed-based methods rely on high quality document images as well as an optical character recognition (OCR) precision, and can only deal with several widely used languages.
      
Phenotypic character gradient variation of Melia azedarach
      
A study on the principal component analysis (PCA) was done, taking the first canonical variable coordinate values as the phenotypic character gradient axes (PCGA).
      
Meanwhile, the path analysis results show the direct and indirect effects of phenotypic characters with phenotypic character gradient values, which prove that the propagative organs, are steadily changing.
      
Reverse driving character of 2-DOF closed chain haptic device
      
Reverse driving character plays an important role in evaluating the performance of a haptic device, and it is the primary rule in the mechanical design.
      
This article mainly investigates the problem of 2-DOF haptic device design for improving reverse driving character.
      
The identification of the geometrical character of a flaw is then given by the two dimensional inverse Born approximation in a low-frequency range.
      
 

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