Projective toric varieties are described either by lattice polytopes in the character group of the torus, or by a polyhedral fan. In the latter case, the projective embedding is encoded by a piecewise linear function on the fan. We will generalize this concept to the case of torus actions of smaller dimension such as the action of (C) on Grass(2, n). The resulting description includes a direct ...

BACKGROUND It has been shown that 14-3-3 σ serves as a tumor suppressor gene, and is downregulated in various tumor tissues. However, the role of 14-3-3 σ during the initiation and progression of lung squamous cell carcinoma (SqCC) is not well understood. METHODS The expression status of 14-3-3 σ in archival tissue samples from 40 lung SqCC patients (36 with normal bronchia, 19 squamous metap...

We study estimation of the mean-covariance under joint constraint Σμ=μ for a multivariate normal. A reparametrized structured covariance is proposed through spectral decomposition Σ involving μ, reducing number parameters. approximate MLE by maximizing lower bound profile likelihood and follow similar strategy Bayesian estimation. The approximation performs best.

Let K be a countable separably Hilbertian field. Denote the absolute Galois group of K by G(K). For each σ ∈ (σ1, . . . , σe) ∈ G(K) let Ks[σ] be the maximal Galois extension of K which is fixed by σ1, . . . , σe. We prove that for almost all σ ∈ G(K) (in the sense of the Haar measure) the field Ks[σ] is PAC and its absolute Galois group is isomorphic to F̂ω. Mathematische Zeitschrift 224 (1997)...

Monitoring disturbances in process dispersion using control chart is mostly based on the assumption that quality characteristic follows normal distribution, which not case many real-life situations. This paper proposes a set of new charts homogeneously weighted moving average (HWMA) scheme, for efficient detection shifts standard deviation (σ). These are variety σ estimators and investigated as...

We prove that any language without the empty word, generated by a conjunctive grammar in Greibach normal form, is generated by a grammar based on the Lambek calculus enriched with additive (“intersection” and “union”) connectives. 1 Conjunctive Grammars Let Σ be an arbitrary finite alphabet, Σ∗ is the set of all words, and Σ is the set of all non-empty words over Σ. We consider a generalisation...

We study the nilpotent part N′ of a pseudo-periodic automorphism h real oriented surface with boundary Σ. associate quadratic form Q defined on first homology group (relative to boundary) Using twist formula and techniques from mapping class theory, we prove that Q̃ obtained after killing kerN is positive definite if all screw numbers associated certain orbits annuli are positive. also restricti...