For counts having unexplained heterogeneity, we extend the degenerate component of marginalized zero-inflated models to standard count distributions for more flexible modeling of the marginal mean.
The degenerate component consists of two TFs with indistinguishable interactions that have self-loops, thus they are TFs of themselves, and of each other.
In many fields, use of finite mixtures of non-degenerate components may have a stronger theoretical basis than assuming a mixture of at-risk and not-at-risk latent classes.
It may not always be clear whether a zero-inflated count model or a model based on a finite mixture of two non-degenerate components is more appropriate as Poisson and negative binomial distributions with small means can generate a large amount of zeros.
This degenerate two-component mixture is ideal for exploring mechanisms of superconductivity ranging from Cooper pairing to Bose-Einstein condensation of strongly bound pairs.
Degenerate two-component Fermi gases offer possibilities for precision studies of pairing interactions in systems for which the density, temperature, and interaction strength are widely available.
S. R. Granade, M. E. Gehm, K. M. O'Hara, and J.E. Thomas, Preparation of a degenerate, two-component Fermi gas by evaporation in a single beam optical trap, in OSA Trends in Optics and Photonics (TOPS) Quantum Electronics and Laser Science Conference (QELS 2002), OSA Technical Digest, Postconference Edition, vol. 74 (2002), pp. 169-170, Optical Society of America, Washington, D.C.
end{aligned}Since both S and A are non-degenerate, the component (X_{01}) is determined by the component (X_{10},), and one therefore has (mathfrak {osp}(W _1 simeq mathrm {Hom}(W_0,, W_1) simeq W_1^ otimes W_0^*,).
These meshes may contain self-intersections, non-manifold elements, multiple components, degenerate faces, and even open boundaries (seams), so long as the winding number is still piecewise constant.
