We present a class of subposets of the partition lattice 5n with the following property: The order complex is homotopy equivalent to the order complex of 5n−1, and the Sn-module structure of the homology coincides with a recently discovered lifting of the Sn−1-action on the homology of5n−1. This is the Whitehouse representation on Robinson’s space of fully-grown trees, and has also appeared in ...

Objective: Ecosystems with mixed species compared to the ones with pure compositions provide a broader range of options in the fields of biodiversity, conservation, protection and restoration. Nearly all forest plantations are established as monocultures, but research has shown that there are potential advantages to be gained by using carefully designed species mixtures in place of monocultures...

Pure erythroid leukemia (PEL) is rare hematopoietic neoplasm characterized by uncontrolled proliferation of immature erythroid precursors - mainly abnormal proery-throblasts - comprising at least 80% of bone marrow cells. In this paper, I present a case of 48 years old patient, who presented with pancytopenia and circulating erythroblast in peripheral blood after long history of alcohol abuse. ...

Here we present experimental results that investigate the application of vibrotactile stimulus of pure and complex waveforms. Our experiment measured a subject’s ability to discriminate between pure and complex waveforms based upon vibrotactile stimulus alone. Subjective same/different awareness was captured for paired combinations of sine, saw, and square waveforms at a fixed fundamental frequ...

The dynamics of pure parasystole, a cardiac arrhythmia in which two competing pacemakers fire independently, have recently been fully characterized. This model is now extended in an attempt to account for the more complex dynamics occurring with modulated parasystole, in which there exists nonlinear interaction between the sinus node and the ectopic ventricular focus. Theoretical analysis of mo...

Given a finite group G and a natural number n, we study the structure of the complex of nested sets of the associated Dowling lattice Qn(G) (Proc. Internat. Sympos., 1971, pp. 101–115) and of its subposet of the G-symmetric partitions Qn(G) which was recently introduced by Hultman (http://www.math.kth.se/ ~hultman/, 2006), together with the complex of G-symmetric phylogenetic trees T G n . Hult...

Generalizing the concepts of Stanley–Reisner and affine monoid algebras, one can associate to a rational pointed fan Σ in Rd the Zd-graded toric face ring K[Σ]. Assuming that K[Σ] is Cohen–Macaulay, the main result of this paper is to characterize the situation when its canonical module is isomorphic to a Zd-graded ideal of K[Σ]. From this result several algebraic and combinatorial consequences...