With help of direct calculation, it is revealed that an essential concept in deriving the Boltzmann collisional operator, the scattering cross section in the laboratory frame, cannot be well defined. Along this line, it is suggested that the collisional operator, as well as the entire Boltzmann equation, should be reconsidered.

Banach algebras defined by fractional Mikhlin-type conditions are continuously contained in Besov spaces, in such a way that the difference between the corresponding degrees of derivation can be made arbitrarily small. In this note a proof of this inclusion is given which is based on the Hadamard fractional operator and its adjoint integration operator on the positive half-line. §

We compute the axial anomaly for the Taub-NUT metric on R. We show that the axial anomaly for the generalized Taub-NUT metrics introduced by Iwai and Katayama is finite, although the Dirac operator is not Fredholm. We show that the essential spectrum of the Dirac operator is the whole real line. Pacs: 04.62.+v

This paper aims to solve the operator allocation optimization problem for line balancing control under two unsatisfied conditions. An approach is proposed for combination condition adjustment. An adjusted recursive operator allocation optimization algorithm is developed for generating the optimal solution under these two conditions adjusted.

The acoustic scattering operator on the real line is mapped to a Schrödinger operator under the Liouville transformation. The potentials in the image are characterized precisely in terms of their scattering data, and the inverse transformation is obtained as a simple, linear quadrature. An existence theorem for the associated Harry Dym flows is proved, using the scattering method. The scatterin...

Autonomy for autonomous vehicles is achieved at the level of decision making. This paper discusses the lack of autonomous decision making in current unmanned vehicle platforms. Although current unmanned vehicles are often termed as autonomous, they rely on the communications and decisions established with and by the operator. In order to achieve this autonomy during mission without requiring op...

We address the problem of refactoring existing, closely related products into product line representations. Our approach is based on comparing and matching artifacts of these existing products and merging those deemed similar while explicating those that vary. Our work focuses on formal specification of a product line refactoring operator called merge-in that puts individual products together i...

We compute the axial anomaly for the Taub-NUT metric on R. We show that the axial anomaly for the generalized Taub-NUT metrics introduced by Iwai and Katayama is finite, although the Dirac operator is not Fredholm. We show that the essential spectrum of the Dirac operator is the whole real line. Pacs: 04.62.+v

Background: Heat stress in the steel industry is considered as a serious threat to the health and safety of workers. A wide spectrum of complications and diseases from mild disorders such as burning sensation to fatal conditions such as thermal shock may occur due to uncontrolled thermal stress. In this study, heat stress assessment was performed according to the wet-bulb globe temperature (WBG...

For a few years, on-line analysis processing (OLAP) and data mining have known parallel and independent evolutions. Some recent studies have shown the interest of the association of these two fields. Currently, we attend the increase of a more elaborated analysis's need. We think that the idea of coupling OLAP and data mining will be able to fulfill this need. We propose to adopt this coupling ...