An optimized integration scheme for calculating vibrational-rotational partition functions by the Fourier path-integral method, as presented in the previous paper [R. Q. Topper and D. G. Truhlar, J. Chem. Phys. 97, 3647 (1992)] is applied to a three-dimensional test case involving the coupled vibrational and rotational motions of a diatomic HCI molecule in Cartesian coordinates. Converged parti...

We consider the problem of estimating the partition function of the ferromagnetic q-state Potts model. We propose an importance sampling algorithm in the dual of the normal factor graph representing the model. The algorithm can efficiently compute an estimate of the partition function when the coupling parameters of the model are strong (corresponding to models at low temperature) or when the m...

It is common for data to be contaminated with artifacts, interference, and noise. Several methods including independent components analysis (ICA) and principal components analysis (PCA) have been used to supress these undesired signals and/or to extract the underlying (desired) source waveforms. For some data it is known, or can be extracted posthoc, how to partition the data into periods of so...

We derive the microcanonical partition function of the ideal relativistic quantum gas of spinless bosons in a quantum field framework as an expansion over fixed multiplicities. Our calculation generalizes well known expressions in literature in that it does not introduce any large volume approximation and it is valid at any volume. We discuss the issues concerned with the definition of the micr...

the effect of oleic acid (5 and 10% v/v) and xanthan gum (0.5 and 1% wt) on  partitioning and retention of ethyl acetate and diacetyl from two matrices with a different composition was investigated by applying static head space gas chromatography. two matrices with different composition have been developed: one containing carbohydrates (xanthan gum) and in the second one, called complex matrix,...

t is the purpose of this paper to contribute to the discussion initiated bywachter about the parallelism between principal component (pc) and atypological grade of membership (gom) analysis. the author testedempirically the close relationship between both analysis in a lowdimensional framework comprising up to nine dichotomous variables and twotypologies. our contribution to the subject is also...

We consider the partition function for a matrix model with a global unitary invariant energy function. We show that the averages over the partition function of global unitary invariant trace polynomials of the matrix variables are the same when calculated with any choice of a global unitary fixing, while averages of such polynomials without a trace define matrixvalued correlation functions, tha...

The translational diffusion coefficient and the partition coefficient of a spin-labeled solute, di-t-butyl nitroxide, in an aqueous suspension of dipalmitoyl lecithin vesicles have been studied by electron spin resonance spectroscopy. When the lecithin is cooled through its phase transition temperature near 41 degrees C, some solute is "frozen out" of the bilayer, and the standard partial molar...

We give many examples of algebraic actions which are factors Bernoulli shifts. These include certain harmonic models over left-orderable groups large enough growth, as well associated to lopsided elements in any group. For our examples, the acting group is amenable so these (and not just a factor Bernoulli), but there no obvious partition.

Photovoltaics have uncertain characteristics. If a high proportion of photovoltaics are connected to the distribution network, voltage will exceed limit. In order solve this problem, regulation method network considering energy storage partition configuration is proposed. Taking minimum total deviation, cost, power loss, and device installation ratio as objective function, various conditions, s...