The soft (≈ 0.1–2.0 keV) X-ray spectra of narrow-line Seyfert 1 galaxies are known to be generally steeper than those of Seyfert 1 galaxies with broader optical permitted lines. This has been attributed to the presence of strong soft X-ray excesses, over the hard X-ray power law, in many narrow-line Seyfert 1s. Here we use the currently available ASCA data to systematically compare the harder (...

Let G be a definably compact group in an o-minimal expansion of a real closed field. We prove that if dim(G \ X) < dimG for some definable X ⊆ G then X contains a torsion point of G. Along the way we develop a general theory for the so-called G-linear sets, and investigate definable sets which contain abstract subgroups of G.

In this study, a new root-finding method for solving nonlinear equations is proposed. This method requires two starting values that do not necessarily bracketing a root. However, when the starting values are selected to be close to a root, the proposed method converges to the root quicker than the secant method. Another advantage over all iterative methods is that; the proposed method usually c...

where 15BI«B„B,might result from any shortwavelength plasma microinstabilities. When 5B exceeds a very small value such that neighboring magnetic islands overlap, the field structure becomes stochastic, and can be characterized by two geometrical properties. ' First, a given field line diffuses in x, and, second, two neighboring field lines diverge from each other —the mean distance between the...

Let (X,D) and (X?,D?) be two compact Riemann surfaces of genus g?4 with the set marked points D?X D??X?. Fix a parabolic line bundle L trivial structure. NSp(2m,?,L) NSp?(2m,?,L) moduli spaces stable symplectic Higgs bundles over X X? respectively, rank 2m fixed structure ?, form taking values in L. We prove that if is isomorphic to NSp?(2m,?,L), then there exist an isomorphism between sending ...

Theorem 1.1. ([E]) Let X = B ∪ (1-handles) ∪ (2-handles) be four-dimensional handlebody with one 0-handle and no 3or 4-handles. Then • The standard symplectic structure on B can be extended over 1-handles so that manifold X1 = B 4 ∪ (1-handles) is a compact Stein domain. • If each 2-handle is attached to ∂X1 along a Legendrian knot with framing one less then Thurston-Bennequin framing of this k...