Sentence examples for partition functions from inspiring English sources

From viewpoints of functional groups and polymers, two types of canonical partition functions are constructed and further are proved to be consistent with each other.

Now, partition functions, defined as X q q, (3).

Partition functions of these matrix models are equal to the corresponding Nekrasov partition functions, and their spectral curves are the Seiberg Witten curves of the corresponding theories.

Unfortunately, the approximations of partition functions for the distributions p(x|α) and p(h|γ) are necessary since its corresponding partition functions are analytically intractable.

This means that PET and PEN are equally flexible as judged by their conformational partition functions.

Certain physically reasonable simplifying approximations are employed to make the partition functions tractable.

The partition functions to the size 2 × 2 × 2 × 1 are given.

Here we present an exact and complete decoupling analysis in which the partition functions of the compared systems decompose into the partition functions of the common and different subsystems.

Then, we cluster these diverse ensembles to identify the most diverse partition functions for Boltzmann stochastic sampling.

In these cases, it may be beneficial to partition functions to group execution with data at a single location.

In this article, we consider partition functions mentioned in the following definition and we show that they are quasi polynomials.