Recently, we gave a theoretical explanation for superlinear convergence behavior observed while solving large symmetric systems of equations using the Conjugate Gradient method. Roughly speaking, one may observe superlinear convergence while solving a sequence of (symmetric positive definite) linear systems if the asymptotic eigenvalue distribution of the sequence of the corresponding matrices ...

Immunotherapy (IT) by injection more readily induces clinical tolerance to stinging insects than to respiratory allergens. However, while systemic immunization induces adaptive responses systemically, the induction of mucosal immunity generally requires local Ag exposure. Taken together, these observations suggest that the poor success rate of systemic IT for asthma could be a consequence of in...

Because plants produce cytotoxic compounds to which they, themselves, are susceptible and are exposed to exogenous toxins (microbial products, allelochemicals, and agrochemicals), cell survival is contingent on mechanisms for detoxifying these agents. One detoxification mechanism is the glutathione S-transferase-catalyzed glutathionation of the toxin, or an activated derivative, and transport o...

This paper proposes new finite element spaces that can be constructed for agglomerates of standard elements that have certain regular structure. The main requirement is that the agglomerates share faces that have closed boundaries composed of 1-d edges. The spaces resulting from the agglomerated elements are subspaces of the original de Rham sequence of H-conforming, H(curl) conforming, H(div) ...

The iterative process, Xn+i = X„i2I — AX„), for computing A-1, is generalized to obtain the generalized inverse. An iterative method for inverting a matrix, due to Schulz [1], is based on the convergence of the sequence of matrices, defined recursively by (1) Xn+x = X„i21 AX«) (n 0, 1, • • ■ ) to the inverse A~l of A, whenever X0 approximates A"1. In this note the process ( 1 ) is generalized t...

Although Streptococcus pneumoniae is a leading cause of childhood disease in South East Asia, little has previously been reported regarding the epidemiology of invasive pneumococcal disease in Malaysia and very few studies have explored pneumococcal epidemiology using multilocus sequence typing (MLST). Here we describe serotype, multilocus sequence type (ST), and penicillin susceptibility of th...

We extend the results of Deligne and Illusie on liftings modulo $p^2$ decompositions de Rham complex in several ways. show that for a smooth scheme $X$ over perfect field $k$ characteristic $p>0$, truncations $\max(p-1, 2)$ consecutive degrees can be reconstructed as objects derived category terms its truncation at most one (or, equivalently, obstruction class to lifting $p^2$). Consequently, t...