Unsubstituted silanethione, H(2)Si=S, has been characterized experimentally for the first time by means of rotational spectroscopy; the equilibrium structure of this fundamental molecule has been evaluated through a combination of experimental data from a total of ten isotopologues and results of high-level coupled-cluster calculations.

We construct 2-chromatic S(2; 4; v) for v = 37; 40, and 73. This completes the proof of the existence of 2-chromatic Steiner systems S(2; 4; v) [equivalently, of Steiner systems S(2; 4; v) with a blocking set] for all v ≡ 1 or 4 (mod 12).

The electronic gas-phase absorption spectrum of the bent carbon-chain radical, HC(4)CHC(6)H with C(s) symmetry, is recorded in the 595 nm region by cavity ring-down spectroscopy through an expanding hydrogen plasma. An unambiguous spectroscopic identification becomes possible from a systematic deuterium labeling experiment. A comparison of the results with recently reported spectra of the nonli...

The S transform, which is introduced in this correspondence, is an extension of the ideas of the continuous wavelet transform (CWT), and is based on a moving and scalable localizing Gaussian window. It is shown here to have some desirable characteristics that are absent in the continuous wavelet transform. The S transform is unique in that it provides frequency-dependent resolution while mainta...

We compute the Kaluza-Klein mass spectrum of the D = 11 supergravity compactified on AdS2× S × T 7 and arrange it into representations of the SU(1, 1|2) superconformal algebra. This geometry arises in M theory as the near horizon limit of a D = 4 extremal black-hole constructed by wrapping four groups of M-branes along the T . Via AdS/CFT correspondence, our result gives a prediction for the sp...

given a graph $g$, let $g^sigma$ be an oriented graph of $g$ with the orientation $sigma$ and skew-adjacency matrix $s(g^sigma)$. then the spectrum of $s(g^sigma)$ consisting of all the eigenvalues of $s(g^sigma)$ is called the skew-spectrum of $g^sigma$, denoted by $sp(g^sigma)$. the skew energy of the oriented graph $g^sigma$, denoted by $mathcal{e}_s(g^sigma)$, is defined as the sum of the n...

(1) π∗(S) −→ π∗(tmf ) −→ MF∗ that we now describe. Both maps are surprisingly close to being isomorphisms (even though π∗(S) and MF∗ have nothing to do with each other). The first map (1) is the Hurewitz homomorphism: being a ring spectrum, tmf admits a unit map from the sphere spectrum S. This induces a map in homotopy π∗(S) → π∗(tmf ), which is an isomorphism on π0. The only torsion in π∗(tmf...

We compute the complete leading-log terms of the next-to-next-to-next-to-leadingorder corrections to potential NRQCD. As a by-product we obtain the leading logs at O(mαs ) in the heavy quarkonium spectrum. These leading logs, when ΛQCD ≪ mα 2 s , give the complete O(mα 5 s lnαs) corrections to the heavy quarkonium spectrum. Preprint submitted to Elsevier Preprint 1 February 2008

In this study, a derivative method is applied for the determination of dye concentration in fabrics dyed with tricomponent dye mixtures. The reflectance of spectra of the samples were recorded between 400 and 700 nm. Initially, the obtained (K/S) spectra were divided by the spectrum of a standard sample dyed with two of the components in the ternary mixture and the derivative spectra were calcu...