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We prove a more general version of a result announced without proof in [DP], claiming roughly that in a partially integrable highest weight module over a Kac-Moody algebra the integrable directions from a parabolic subalgebra.
      
A Discrete Wavelet Transform without edge effects using wavelet extrapolation
      
The supports of functions are described in terms of their modified Mellin (or inverse Mellin) transform without passing to the complexification.
      
Without a fast transform, evaluating (or expanding in) spherical harmonic series on the computer is slow-for large computations probibitively slow.
      
It can be used to describe the regularity of the solution without assuming stability.
      
Among the tested compounds, compounds 4d and 5a exhibited potent antifibrotic activity without harmful side effects on liver and kidney functions.
      
The amylose 1 was selectively converted into 2 without protection of the other hydroxyl groups by allylation at the all O-6 positions in excess base.
      
We conclude that nimesulide does not interact with these drugs in terms of antiinflammatory action and antagonizes their side effects on gastric tissue without reacting chemically.
      
Numerical simulations are carried out to test the feasibility and to study the general characteristics of the technique without the real measurement data.
      
Its basic step is to divide the plane into subdomains that include only simple branches of the algebraic curve without singular points.
      
Let Xj,j ≥ 1 be a sequence of negatively associated random variables with EXj = 0, EX2j >amp;lt; ∞ In this paper a functional central limit theorem for negatively associated random variables under some conditions without stationarity is proved.
      
without the inappropriate assumption made in [11] that the dividends being payed continuously.
      
A necessary condition for the existence of perfect two-operation sharing schemes over finite rings without identities is given.
      
(1995), a nonlinear wavelet estimation of f(·) without restrictions of continuity everywhere on f(·) is given, and the convergence rate of the estimators in L2 is obtained.
      
Approximation of fixed points of strictly pseudo-contractive mapping without Lipschitz assumption
      
Under some weaker assumptions, without strict complementary condition, the algorithm is globally and superlinearly convergent.
      
Without the PE presumption, neural networks controller's closed-loop properties are studied and the whole Elman networks' passivity is demonstrated.
      
It is shown that the algorithm is globally and locally superlinearly (quadratically) convergent without the assumption of monotonicity.
      
A remark on the smooth linear partial differential equations in two variables without solutions
      
A smooth linear complex partial differential equation in two variables which is without solutions is found.
      
 

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