The toric residue is a map depending on n + 1 divisors on a complete toric variety of dimension n . It appears in a variety of contexts such as sparse polynomial systems, mirror symmetry, and GKZ hypergeometric functions. In this paper we investigate the problem of finding an explicit element whose toric residue is equal to one. Such an element is shown to exist if and only if the associated po...

For an odd prime p and each non-empty subset S ⊂ GF (p), consider the hyperelliptic curve XS defined by y = fS(x), where fS(x) = Q a∈S(x− a). Using a connection between binary quadratic residue codes and hyperelliptic curves over GF (p), this paper investigates how coding theory bounds give rise to bounds such as the following example: for all sufficiently large primes p there exists a subset S...

Let C be a curve of genus g > 2 defined over the fraction field K of a complete discrete valuation ring R with algebraically closed residue field. Suppose that char(K) = 0 and that the characteristic of the residue field is not 2. Suppose that the Jacobian Jac(C) has semi-stable reduction over R. Embed C in Jac(C) using a K-rational point. We show that the coordinates of the torsion points lyin...

NMR titration curves are reported for the 4 histidine residues of ribonuclease A in sodium acetate and for ribonuclease S in sodium acetate, phosphate, and sulfate solutions. Evidence is presented that the imidazole side chain of histidine residue 48 undergoes a conformational change, probably also involving the carboxyl side chain of aspartic acid residue 14. This group is considered to be res...

Let p be a prime number, Fp be a finite field, and let k ∈ Fp. In this paper, we consider the number of rational points on conics Cp,k : x − ky = 1 over Fp. We proved that the order of Cp,k over Fp is p− 1 if k is a quadratic residue mod p and is p+1 if k is not a quadratic residue mod p. Later we derive some results concerning the sums ∑ C [x] p,k(Fp) and ∑ C [y] p,k(Fp), the sum of x− and y−c...

The human G6f protein, which is encoded by a gene in the MHC, is a putative cell-surface receptor belonging to the immunoglobulin superfamily. The intracellular tail of G6f is 40 amino acids in length and contains one tyrosine residue (Y281), which is phosphorylated after treatment of cells with pervanadate. This tyrosine residue is found in a consensus-binding motif (YXN) for the Src homology ...

We introduce a structured image compression scheme based on a u = v + w model, where the orignal image u is decomposed between a sketch v and a residue w. The sketch contains the main edge curves while the information carried by the residue is mostly composed by microtextures. This split of the meaningful information allows the use of a representation adapted to each structure. The edge curve g...

We present a method for attributing a measure of reliability to a residue pair in an optimal alignment of two protein sequences. Validation based on a database of structurally correct alignments [Pascarella and Argos (1992) Protein Engng, 5, 121-137] shows that correctly aligned parts of a sequence alignment systematically receive high scores in this measure. The higher the sequence similarity ...

The effects of captopril, 3 and 10 mg/kg, on vascular noradrenergic transmission were examined in vivo in spontaneously hypertensive rats (SHR) and normotensive Wistar-Kyoto rats (WKY). These experiments were performed on mesenteric vascular beds perfused in situ. In WKY, 3 mg/kg captopril failed to significantly lower mean arterial blood pressure (MAP) and also failed to have a significant eff...