We discuss analogs of Faber’s conjecture for two nested sequences of partial compactifications of the moduli space of smooth curves. We show that their tautological rings are one-dimensional in top degree but do not satisfy Poincaré duality. The structure of the tautological ring of the moduli space of stable curves is predicted by the Faber conjecture, which states that R(Mg,n) is Gorenstein w...

For a fixed positive integer k, consider the collection of all affine hyperplanes in n-space given by xi − x j = m, where i, j ∈ [n], i 6= j , and m ∈ {0, 1, . . . , k}. Let Ln,k be the set of all nonempty affine subspaces (including the empty space) which can be obtained by intersecting some subset of these affine hyperplanes. Now give Ln,k a lattice structure by ordering its elements by rever...

We show that the m-dimensional Euler–Manakov top on so∗(m) can be represented as a Poisson reduction of an integrable Hamiltonian system on a symplectic extended Stiefel variety V̄(k,m), and present its Lax representation with a rational parameter. We also describe an integrable two-valued symplectic map B on the 4dimensional variety V(2, 3). The map admits two different reductions, namely, to t...

In this paper, we present a subclass-representation approach that predicts the probability of a social image belonging to one particular class. We explore the co-occurrence of usercontributed tags to find subclasses with a strong connection to the top level class. We then project each image on to the resulting subclass space to generate a subclass representation for the image. The novelty of th...

This article was born as an application of the Top Terms’ Relationship proved by the author and Series in [15] and also as generalisation of the analysis made by Series in [26] where she made the first attempt to plot a deformation space of Kleinian group of more than 1 complex dimension. We use this formula to determine the asymptotic directions of pleating rays in the Maskit embedding of a hy...

the purpose of this paper is to investigate the relationship between the walton’s quality of work life (qwl) factors and job satisfaction (js). the statistical population consisted of top and middle managers and experts of gas company of razavi khorasan province. a sample of 146 was selected based on proportional sampling method. a standard questionnaire as well as walton’s wlq factors for job ...

We give new space/time tradeoffs for compressed indexes that answer document retrieval queries on general sequences. On a collection of D documents of total length n, current approaches require at least |CSA| + O(n lgD lg lgD ) or 2|CSA| + o(n) bits of space, where CSA is a full-text index. Using monotone minimum perfect hash functions, we give new algorithms for document listing with frequenci...