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 common
 The first one is a conjecture of Ian Hughes which states that iff1, ..., fn are primary invariants of a finite linear groupG, then the least common multiple of the degrees of thefi is a multiple of the exponent ofG. This paper studies intersection theory on the compactified moduli space ${\mbox{$\cal M$}} (n,d)$ of holomorphic bundles of rank n and degree d over a fixed compact Riemann surface $\Sigma$ of genus $g \geq 2$ where n and d may have common factors. For Fourier-bandlimited symbols, we derive the expected formulae for composition and commutators and construct an orthonormal basis of common approximate eigenvectors that could be used to study spectral theory. For Fourier-bandlimited symbols, we derive the expected formulae for composition and commutators and construct an orthonormal basis of common approximate eigenvectors that could be used to study spectral theory. More generally, these results apply both to Gabor frames and to systems of Gabor molecules, whose elements share only a common envelope of concentration in the time-frequency plane. 更多
 totally
 The flat rank of a totally disconnected locally compact group G, denoted flat-rk(G), is an invariant of the topological group structure of G. We also show that for any integer n ≥ 1 there is a simple, compactly generated, locally compact, totally disconnected group G, with flat-rk(G) = n and which is not linear. A visible action on a complex manifold is a holomorphic action that admits a J-transversal totally real submanifold S. It is shown that for certain totally disconnected fractals, function spaces may be characterized by means of the magnitude of the wavelet coefficients of the functions. The study also shows that higher orders are almost totally suppressed by MgF2 filter when the wavelength ranges between 115-140 nm. 更多
 altogether
 Altogether 19 groups and 59.03% of total individuals were found in the bottom layer, while only 8 groups and 5.35% of the total individuals in the top. Altogether, splenic surgery is a new and prosperous discipline, and it is a tremendous stage for young surgeons to be part of. Altogether, these results indicate that trehalose metabolism in S. It is possible that they altogether represent a novel class (or classes) of δ-endotoxin receptors. Some surfaces vanish altogether (such as the contact surfaces in application of the "particle-in-cell" method), while others, such as second shocks, can be identified by investigation of the flow parameters in the "suspicious" region. 更多
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