Background: Cobalamin deficiency and peripheral neuropathy (PN) are commonly seen in HIV-infected adults. The level of urine methylmalonic acid (UMMA), a reliable indicator of tissue cobalamin status, was determined in HIV infected subjects with and without PN to establish this association. Methods: One hundred and ninety-eight (198) consenting HIV infected subjects with and without PN were rec...

Let Pm Pn be the strong product of two paths Pm and Pn. In 2013, Klešč et al. conjectured that the crossing number of Pm Pn is equal to (m − 1)(n − 1) − 4 for m ≥ 4 and n ≥ 4. In this paper we show that the above conjecture is true except when m = 4 and n = 4, and that the crossing number of P4 P4 is four.

Let a1 < a2 < . . . < a2l, Ej = [a2j−1, a2j ], put E = ⋃l j=1 Ej and H(x) = ∏2l j=1(x − aj). Furthermore let pn(x) = x + . . . be the polynomial of degree n orthogonal on E with respect to a weight function of the form w/ √ −H with square root singularities at the boundary points of E and w ∈ C(E). We study and answer the following questions: how many zeros has pn in the interval Ej , j ∈ {1, ....

INTRODUCTION Lymph node ratio (LNR, i.e. the ratio of the number of positive nodes to the total number of nodes excised) is reported to be superior to the absolute number of nodes involved (pN stage) in classifying patients at high versus low risk of death following breast cancer. The added prognostic value of LNR over pN in addition to other prognostic factors has never been assessed. METHOD...

It is known that for Pn, the subspace of C([−1, 1]) of all polynomials of degree at most n, the least basis condition number κ∞(Pn) (also called the Banach-Mazur distance between Pn and `n+1 ∞ ) is bounded from below by the projection constant of Pn in C([−1, 1]). We show that κ∞(Pn) is in fact the generalized interpolating projection constant of Pn in C([−1, 1]), and is consequently bounded fr...

In this paper we introduce affine invariants based on a multiscale framework combined with nonlinear comparison operations. The resulting descriptors are histograms, which are computed from a set of comparison results using binary coding. The new constructions are analogous to other multiscale affine invariants, but the use of highly nonlinear operations yields clear advantages in discriminabil...

Let K be an arbitrary field of characteristic p > 0 and D(Pn) the ring of differential operators on a polynomial algebra Pn in n variables. A long anticipated analogue of the inequality of Bernstein is proved for the ring D(Pn). In fact, three different proofs are given of this inequality (two of which are essentially characteristic free): the first one is based on the concept of the filter dim...