Grad's 13-moment equations describe transport in mildly rarefied gases well, but are not properly embedded into nonequilibrium thermodynamics since they accompanied by a formulation of the second law. In this work, Grad-13 framework GENERIC (general equation for reversible–irreversible coupling), which demands additional contributions to guarantee thermodynamic structure. As building blocks, we...

In this paper, we study the notion of admissibility for randomised strategies in concurrent games. Intuitively, an admissible strategy is one where the player plays ‘as well as possible’, because there is no other strategy that dominates it, i.e., that wins (almost surely) against a super set of adversarial strategies. We prove that admissible strategies always exist in concurrent games, and we...

The admissible region is defined as the set of physically acceptable orbits (i.e., orbits with negative energies). Given additional constraints on orbital semi-major axis, eccentricity, etc, the admissible region is further constrained, resulting in the constrained admissible region (CAR). Based on known statistics of the measurement process, in this paper we replace hard constraints with a pro...

In this paper we introduce the continuous quaternion wavelet transform (CQWT). We express the admissibility condition in terms of the (right-sided) quaternion Fourier transform. We show that its fundamental properties, such as inner product, norm relation, and inversion formula, can be established whenever the quaternion wavelets satisfy a particular admissibility condition. We present several ...

Any function relating several variables for which admissible scale transformations are specified is assumed to satisfy a functional equation that requires admissible transformations of the independent variables to effect only admissible transformations of the dependent variable. When there are not any dimensional constants that, in effect, cancel out the admissible transformations of the indepe...