The cut sets of a graph are special vertices whose removal disconnects the graph. They fundamental in study binomial edge ideals, since they encode their minimal primary decomposition. We introduce class accessible graphs as with unmixed ideal and form an set system. prove that is Cohen-Macaulay we conjecture converse holds. settle for large classes graphs, including chordal traceable providing...

A practical guide to relatives and interested laymen, which would give the facts about schizophrenia in plain language unmixed with romantic theorising, and offer advice about management, has long been needed. This booklet comes closer to success than anything yet printed. The first section, in which the condition is described, warts and all, but in terms which evoke sympathy and understanding ...

1. Differentiation of the posterior cells of the lens vesicle into lens cortex has been observed in vitro. 2. It is possible to dissect out the lens of the 5 day embryo chick in such a manner as to free it from all extraneous cells. 3. Lens epithelium even at a very early stage is contained within a cuticula. 4. Lens epithelium under proper conditions will live, migrate, divide, and multiply in...

Let G = (V,E) be a graph. If G is a König graph or if G is a graph without 3-cycles and 5-cycles, we prove that the following conditions are equivalent: ∆G is pure shellable, R/I∆ is Cohen-Macaulay, G is an unmixed vertex decomposable graph and G is well-covered with a perfect matching of König type e1, . . . , eg without 4-cycles with two ei’s. Furthermore, we study vertex decomposable and she...

Memory for repeated items often improves when repetitions are separated by other items—a phenomenon called the spacing effect. In two experiments, we explored the complex interaction between study strategies, serial position, and spacing effects. When people studied several unmixed lists, they initially used mainly rote rehearsal, but some people eventually adopted relational encoding strategie...

The liquid-phase enthalpy of mixing for Al–Tb alloys is measured for 3, 5, 8, 10, and 20 at% Tb at selected temperatures in the range from 1364 to 1439 K. Methods include isothermal solution calorimetry and isoperibolic electromagnetic levitation drop calorimetry. Mixing enthalpy is determined relative to the unmixed pure (Al and Tb) components. The required formation enthalpy for the Al3Tb pha...

We have developed a quantum field theoretic framework for scalar and pseudoscalar meson mixing and oscillations in time. The unitary inequivalence of the Fock space of base (unmixed) eigenstates and the physical mixed eigenstates is proven and shown to lead to a rich condensate structure. This is exploited to develop formulas for two flavor boson oscillations in systems of arbitrary boson occup...

In this paper, a multiplicity preserving triangular set decomposition algorithm is proposed for a system of two polynomials. The algorithm decomposes the variety defined by the polynomial system into unmixed components represented by triangular sets, which may have negative multiplicities. In the bivariate case, we give a complete algorithm to decompose the system into multiplicity preserving t...

We present a new algorithm for maximum likelihood convolutive independent component analysis (ICA) in which components are unmixed using stable autoregressive filters determined implicitly by estimating a convolutive model of the mixing process. By introducing a convolutive mixing model for the components, we show how the order of the filters in the model can be correctly detected using Bayesia...

This paper describes a new multilevel decomposition method for the separation of convolutive image mixtures. The proposed method uses an Adaptive Quincunx Lifting Scheme (AQLS) based on wavelet decomposition to preprocess the input data, followed by a Non-Negative Matrix Factorization whose role is to unmix the decomposed images. The unmixed images are, thereafter, reconstructed using the inver...