Some suucient conditions for niteness of a generalized non-abelian tensor product of groups are established extending Ellis' result for compatible actions. The non-abelian tensor product of groups was introduced by Brown and Loday 2,3] following works of A.Lue 4] and R.K.Dennis 7]. It was deened for any groups A and B which act on themselves by conjugation (x y = xyx ?1) and each of which acts ...

We give a sharp estimate for the eigenvectors of a positive deenite Hermitian matrix under a oating-point perturbation. The proof is elementary. Recently there have been a number of papers on eigenvector perturbation bounds that involve a perturbation of the matrix which is small in some relative sense, including the typical rounding errors in matrix elements ((1], 2], 10], 8], 4], 5]). The pro...

Myelodysplastic syndrome (MDS) is cytogenetically heterogeneous and retains variable risk for acute myeloid leukemia transformation. Though not yet fully understood, there is an association between genetic abnormalities and defects in gene expression. The functional role for infrequent cytogenetic alteration remains unclear. An uncommon chromosomic abnormality is the presence of the Philadelphi...

In 1966, Roger Penrose 1 suggested that an appropriate quasi-local measure of the energy density content of a region of space would be the focusing power of the region on a passing null geodesic congruence. This geometric lens effect would be sensitive to both non-gravitational and gravitational energy because it depends on both the Ricci and the Weyl curvature in the region; the former governs...

The Riemannian metric on the manifold of positive de nite matrices is de ned by a kernel function in the form K D(H;K) = P i;j ( i; j) 1TrPiHPjK when P i iPi is the spectral decomposition of the foot point D and the Hermitian matrices H;K are tangent vectors. For such kernel metrics the tangent space has an orthogonal decomposition. The pull-back of a kernel metric under a mapping D 7! G(D) is ...

Philadelphia chromosome positive de novoacute myeloid leukemia (AML)is a rare disease with reported incidence of less than 1% of newly diagnosed cases of AML. Outcome of the disease is poor, owing to its resistance to conventional chemotherapy and variable response to imatinib besylate. We report a case of 24-year man who reported to our unit in November 2014 and was treated with conventional i...

Positive and conditionally positive deenite functions, especially radial basis functions and similar functions for spheres, tori, and even Riemannian manifolds, are of interest because of the their well-known ability to synthesize a good surface t from scattered data. More recently, positive deenite basis functions have been employed to analyze scattered data. The methods used to do this involv...

Etude de deux cas d'Hyperlymphocytose in­fectieuse benigne consernant de deux enfants subfebriles, Sans adenopathies ni Hepato-SplenG---­ megalie confirmee par les examens bi.ologiques et en particulier Etude cytologique de la moele osseuse;  Amelioration clinique et Hematologique de fac;on spontanee sans Traitement.