BACKGROUND & OBJECTIVES Rickettsial infections remain under-diagnosed due to lack of diagnostic facilities in developing world. Here we present our experience at National Centre for Disease Control, Delhi, about a serosurvey done in Delhi for rickettsial disease with easy to perform low cost, low expertise Weil Felix test. METHODS On the basis of cut-off titre obtained in healthy population, ...

BACKGROUND Numerous metatarsal osteotomies have been developed for the treatment of Freiberg's disease. The purpose of this study was to evaluate the clinical outcomes of modified Weil osteotomy in the treatment of Freiberg's disease. METHODS From November 2001 to July 2008, nineteen patients (twenty feet), treated surgically for Freiberg's disease, were included in this study. The average ag...

The variety DA of finite monoids has a huge number of different characterizations, ranging from two-variable first-order logic FO to unambiguous polynomials. In order to study the structure of the subvarieties of DA, Trotter and Weil considered the intersection of varieties of finite monoids with bands, i.e., with idempotent monoids. The varieties of idempotent monoids are very well understood ...

We give a proof that the Riemann hypothesis for hypersurfaces over finite fields implies the result for all smooth proper varieties, by a deformation argument which does not use the theory of Lefschetz pencils or the `-adic Fourier transform.

In this paper, a super-optimal pairing based on the Weil pairing is proposed with great efficiency. It is the first approach to reduce the Miller iteration loop when computing the variants of the Weil pairing. The super-optimal pairing based on the Weil pairing is computed rather fast, while it is slightly slower than the previous fastest pairing on the corresponding elliptic curves.

 The Mordell-Weil theorem states that the group of rational points‎ ‎on an elliptic curve over the rational numbers is a finitely‎ ‎generated abelian group‎. ‎In our previous paper, H‎. ‎Daghigh‎, ‎and S‎. ‎Didari‎, On the elliptic curves of the form $ y^2=x^3-3px$‎, ‎‎Bull‎. ‎Iranian Math‎. ‎Soc‎.‎‎ 40 (2014)‎, no‎. ‎5‎, ‎1119--1133‎.‎, ‎using Selmer groups‎, ‎we have shown that for a prime $p...

We propose an improved implementation of modified Weil pairings. By reduction of operations in the extension field to those in the base field, we can save some operations in the extension field when computing a modified Weil pairing. In particular, computing e`(P, φ(P )) is the same as computing the Tate pairing without the final powering. So we can save about 50% of time for computing e`(P, φ(...