This paper shows that sn-metrizable spaces can not be characterized as sequence-covering, compact, σ-images of metric spaces or sn-open, π, σ-images of metric spaces. Also, a space with a locally countable sn-network need not to be an sn-metrizable space. These results correct some errors on sn-metrizable spaces. AMS Mathematics Subject Classification (2000): 54C05, 54E35, 54E40

Polynomials are defined recursively in various ways associated with reciprocation; e.g., Sn+1(x)/Tn+1(x) = Sn(x)/Tn(x) ± Tn(x)/Sn(x). Under certain conditions, the zeros of Sn interlace those of Tn. Identities for Sn, Tn, and related polynomials are derived, as well as recurrence relations and infinite sums involving roots of polynomials.

The purpose of this paper is to give an explicit description of the irreducible decomposition of the multigraded Sn-module of coinvariants of Sn×Sn. Many of the results presented can be extended to S n , and analogous questions for other finite reflection group.

Nano-Sn/C composites are ideal anode materials for high energy and power density Li-ion batteries. However, because of the low melting point of Sn and the tendency of grain growth, especially during high temperature carbonization, it has been a significant challenge to create well-dispersed ultrasmall Sn nanoparticles within a carbon matrix. In this paper, we demonstrate an aerosol spray pyroly...

We described the use of a new chemical substance Sodium nucleinate (SN) as an immunomodulatory substance exhibiting antiinflammatory properties. Sodium nucleinate (SN) registrated in Russian Federation as Tamerit, is 2-amino-1,2,3,4-tetrahydrophthalazine-1,4-dione sodium salt dihydrate, derivative of well known chemical substance luminol. To comprehend the mechanisms of SN immunomodulatory acti...

The tetra-nuclear title compound, [Sn4(CH3)8(C3H7O)2O2(C3H4N3S)2], lies about a center of inversion; the mol-ecule features a three-rung-staircase Sn4O4 core in which two Sn(IV) atoms are bridged by the 4-methyl-5-sulfanyl-idene-4,5-dihydro-1H-1,2,4-triazol-1-ide group. The negatively charged N atom of the group binds to the terminal Sn(IV) atom at a shorter distance [Sn-N = 2.236 (2) Å] compar...

About 500d after explosion the light curve of the Type Ia SN 1998bu suddenly flattened and at the same time the spectrum changed from the typical nebular emission to a blue continuum with broad absorption and emission features reminiscent of the SN spectrum at early phases. We show that in analogy to SN 1991T (Schmidt et al. 1994), this can be explained by the emergence of a light echo from a f...

BACKGROUND Lymphatic mapping with sentinel lymphadenectomy (LM/SL) is an accurate and less morbid means of determining the tumor status of the axilla in breast cancer patients than standard level I and II axillary lymph node dissection (ALND). This review addresses the handling and pathologic examination of the sentinel node (SN), the clinical significance of tumor within the SN, and the risk f...

We report on our early photometric and spectroscopic observations of the extremely luminous Type II supernova (SN) 2008es. With an observed peak optical magnitude of mV = 17.8 and at a redshift z = 0.213, SN 2008es had a peak absolute magnitude of MV = −22.3, making it the second most luminous SN ever observed. The photometric evolution of SN 2008es exhibits a fast decline rate (∼0.042 mag d), ...

In this paper, we prove that the full automorphism group of the derangement graph Γn (n ≥ 3) is equal to (R(Sn) ⋊ Inn(Sn)) ⋊ Z2, where R(Sn) and Inn(Sn) are the right regular representation and the inner automorphism group of Sn respectively, and Z2 = 〈φ〉 with the mapping φ : σ φ = σ−1, ∀σ ∈ Sn. Moreover, all orbits on the edge set of Γn (n ≥ 3) are determined.