Diamagnetic susceptibilities of two series of organic compounds have been described by using a novel sub-structural approach. The method is based on the calculation of spectral moments of the bond adjacency matrix of molecular graphs. These spectral moments are expressed via algebraic expressions as linear combinations of simple fragments present in molecules. Contributions of each fragment to ...

In a search for spectral parameters that can be used to distinguish and to model fricatives, spectral moments, dynamic amplitude, and slope above maximum amplitude were computed for a fricative corpus including sustained fricatives at di erent e ort levels, and fricatives in vowel context. Moments varied signi cantly by frequency range used in computation. M3 appeared to vary the least across f...

We review some of the few available nonadiabatic calculations of dipole moments. We show that those carried out in a laboratory–fixed set of coordinate axes are bound to fail and discuss the more reasonable ones in a molecule–fixed reference frame. For completeness we also describe the standard Born–Oppenheimer calculations of dipole moments. We briefly address the experimental estimation of di...

In this paper we are looking for a robust value of the spectral moments that does not change when a speaker varies his vocal effort from normal to loud speech. To do this we first calculate the first four spectral moments for normal and loud speech. Then we compare the results for each single phoneme. After this, we do a correlation analysis to check whether normal and loud speech are linked wi...

It has been shown in recent analyses by ALEPH [1] and OPAL [2] that precision QCD tests are possible with hadronic τ decays by comparing spectral moments of the hadronic decay ratio of the τ with QCD calculations. In principle e+e− data can be used in a similar manner by evaluating spectral moments of R. The current e+e− data is compared with the OPAL τ data and a prediction is made on the achi...

Consider the ensemble of real symmetric Toeplitz matrices whose entries are i.i.d random variables chosen from a fixed probability distribution p of mean 0, variance 1 and finite higher moments. Previous work [BDJ, HM] showed that the limiting spectral measures (the density of normalized eigenvalues) converge weakly and almost surely to a universal distribution almost that of the Gaussian, inde...

In this paper we propose guaranteed spectral methods for learning a broad range of topic models, which generalize the popular Latent Dirichlet Allocation (LDA). We overcome the limitation of LDA to incorporate arbitrary topic correlations, by assuming that the hidden topic proportions are drawn from a flexible class of Normalized Infinitely Divisible (NID) distributions. NID distributions are g...

Stieltjes moment problem is considered to recover a probability density function from the knowledge of its infinite sequence of ordinary moments. The approximate density is obtained through maximum entropy technique, under the constraint of few fractional moments. The latter are numerically obtained from the infinite sequence of ordinary moments and are chosen in such a way as to convey the max...