Bayesian solution of an inverse problem for indirect measurement M = AU + E is considered, where U is a function on a domain of R. Here A is a smoothing linear operator and E is Gaussian white noise. The data is a realization mk of the random variable Mk = PkAU + PkE, where Pk is a linear, finite dimensional operator related to measurement device. To allow computerized inversion, the unknown is...

Abstract This is an expository paper about the index of Toeplitz operators, and in particular Boutet de Monvel’s theorem [5]. We prove as a corollary Bott periodicity, independently Atiyah-Singer theorem.

Physiological parameters and expression levels of drought related genes were analyzed in early vegetative stage of two bread wheat cultivars (Sids and Gmiza) differ in drought tolerance capacity. Both cultivars were imposed to gradual water depletion started on day 17 till day 32 after sowing. Sids, the more tolerant cultivar to drought showed higher fresh and dry weights than the drought sensi...

PMEL is a pigment cell-specific protein that forms physiological amyloid fibrils upon which melanins ultimately deposit in the lumen of the pigment organelle, the melanosome. Whereas hypomorphic PMEL mutations in several species result in a mild pigment dilution that is inherited in a recessive manner, PMEL alleles found in the Dominant white (DW) chicken and Silver horse (HoSi)--which bear mut...

The perturbative expression of Chern-Simons theory for links in Euclidean 3-space is a linear combination of integrals on configuration spaces. This has successively been studied by Guadagnini, Martellini and Mintchev, Bar-Natan, Kontsevich, Bott and Taubes, D. Thurston, Altschuler and Freidel, Yang. . .We give a self-contained version of this study with a new choice of compactification, and we...

On the total space of a G−complex vector bundle E is defined the gauge transformations. A gauge complex invariant Lagrangian determines a special complex nonlinear connection for which the associated Chern-Lagrange and Bott complex connections are gauge invariant. The complex field equations are determined with respect to these associated gauge complex connections. By complex Legendre transform...

Topology of a manifold is reflected in its diffeomorphism group. It is challenging therefore to understand the diffeomorphism group Diff(M) both as a topological and discrete group. Twenty years ago, some work has been done, in connection with characteristic classes of foliations, in constructing continuous cohomology classes for Diff(M). For M closed oriented n-dimensional manifold, a class in...

Abstrak: Masyarakat Dusun merupakan kaum peribumi yang majoriti di negeri Sabah. Kepercayaan asal masyarakat ini adalah pagan dipengaruhi oleh unsur-unsur animisme. Namun, sejak kedatangan agama Islam Sabah bermula sekitar abad ke-15 Masihi, secara perlahan-lahan, sedikit sebanyak mula beralih kepada Islam. Di Sabah, penempatan utama daerah Ranau. Daerah Ranau terbahagi tiga Dewan Undangan Nege...

We provide a new cohomological obstruction to the existence of astheno-Kähler metrics on compact complex manifolds. Several results independent interests regarding Bott-Chern and Aeppli cohomology groups are presented relevant examples discussed.