Suppose that X is an infinite set with |X| ≥ q ≥ א0 and I X is the symmetric inverse semigroup defined on X. In 1984, Levi and Wood determined a class of maximal subsemigroups MA using certain subsets A of X of the Baer-Levi semigroup BL q {α ∈ I X : dom α X and |X \ Xα| q}. Later, in 1995, Hotzel showed that there are many other classes of maximal subsemigroups of BL q , but these are far more...

When in a linear GMM model nuisance parameters are eliminated by multiplying the moment conditions by a projection matrix, the covariance matrix of the model, the inverse of which is typically used to construct an efficient GMM estimator, turns out to be singular and thus cannot be inverted. However, one can show that the generalized inverse can be used instead to produce an efficient estimator...

In this article, we present inverse and implicit function theorems forH -differentiable functions and semismooth functions, thereby generalizing the classical inverse and implicit function theorems to certain classes of nonsmooth functions. The classical inverse function theorem [47] asserts that a continuously differentiable function f : R → R is locally invertible at a point with a continuous...

We investigate gravitational lens models for the quadruply-lensed Cloverleaf BAL QSO H1413+1143 based on the HST WFPC/WFPC2 astrometric and photometric data of the system by Turnshek et al. and the HST NICMOS-2 data by Falco et al. The accurate image positions and the dust-extinction-corrected relative amplifications, along with a possible detection of the lensing galaxy in the infrared, permit...

pure anatase titania (tio2), mixed 1.0 wt.% cerium-anatase titania (1.0 wt.%ceo2-tio2), and mixed 1.0 wt.% zirconia-anatase titania (1.0 wt.%zro2-tio2) nano powders were synthesized by co-precipitation method and characterized using x-ray diffraction (xrd), brunauer-emmett-teller (bet) surface area analysis, uv-vis diffuse reflectance spectroscopy (drs), and transmission electron microscope (te...

in this paper, we introduce some properties of an intuitionistic normal fuzzy m-subgroup of m- group with m-homomorphism and isomorphism. we study he image, the pre-image and the inverse mapping of the intuitionistic normal fuzzy m-‎subgroups.‎

protein oxidationm.longissimus dorsi andm. semimembranosuswas studied in ram lambs of northeastern bulgarian fine wool breed and cross of this breed with ile de france, reared and in doors and on pasture.the degree of protein oxidation is determined by measuring the content of carbonyls, formed during the storage of the investigated muscles at low temperatures(4˚с till6thday and -20˚с till90thd...