Because the adoption of conservation tillage requires long-term evaluation, the effect of tillage and residue management on corn (Zea mays L.) grain and stover yields was studied for 13 seasons in east central Minnesota. Three primary tillage methods (no-till (NT), fall chisel plow (CH), fall moldboard plow (MB)) and two residue management schemes (residue removal versus residue returned) were ...

This paper explores the role of group theory in providing a proof for the Law of Quadratic Reciprocity, which states that for distinct odd primes pand q, q is a quadratic residue mod p if and only if p is a quadratic residue mod q, unless p and q are both congruent to 3 mod 4. The Law of Quadratic Reciprocity is an important result in number theory; it provides us with a simple method to determ...

In this paper we study elementary approaches to classical theorems on representations of primes of the form ax2 + by2, in particular the two squares theorem. While most approaches make use of quadratic residues, we study a route initiated by Liouville, and simplified by Heath-Brown and Zagier.

We point out that off-shell four-dimensional spacetime-supersymmetry implies strange hermiticity properties for the N=1 RNS superstring. However, these hermiticity properties become natural when the N=1 superstring is embedded into an N=2 superstring.

(where χ (mod q) is a Dirichlet character) arise naturally in many classical problems of analytic number theory, from estimating the least quadratic nonresidue (mod p) to bounding L-functions. Recall that for any character χ (mod q) , |Sχ(x)| is trivially bounded above by φ(q). A folklore conjecture (which is a consequence of the Generalized Riemann Hypothesis) predicts that for nonprincipal ch...

We construct a class of codes of length such that the minimum distance outside of a certain subcode is, up to a constant factor, bounded below by the square root of , a well-known property of quadratic residue codes. The construction, using the group algebra of an Abelian group and a special partition or splitting of the group, yields quadratic residue codes, duadic codes, and their generalizat...

Averaged across crop, year and season , residue cover reduction was significantly less for coulter-type applicators than for disk-type applica-tors (P<0.001), disk-type applicators reduced residue cover significantly less than chisel and sweep injectors (P<0.001), and chisel and sweep injec-tors reduced residue cover similar to a tandem disk (P=0.398). Ranges of values to estimate the percentag...

The Loads-n-Limits (LNL) and Release-n-Sequence (RNS) modules are rule-based sub-systems designed to validate various configurations of aircraft stores loading and weapons release planning. LNL, in conjunction with verifying and validating the loads presented, returns usage restrictions and limitations of the aircraft and the weapons load. The RNS module evaluates user-selected weapons employme...

despite of beneficial effects of antibiotics in treatments of infectious diseases, antibiotic residues in meat, milk, eggs and another products can cause serious side effects for human health. it is clear that, antibiotic residues in food stuff, cause bacterial resistance, allergic reactions, toxicity, carcinogenic effects and change of natural micro flora of intestine in consumers. so, the aim...

In this paper a new algebraic decoding approach for (17,9,5) Quadratic Residue Code is proposed by using the Inverse Free Berlekamp-MasseyAlgorithm i.e. IFBM algorithm. By using an efficient algorithm an unknown syndrome are also developed in this paper. With the help of unknown syndromes, we achieve the alternative consecutive syndromes which are needed for the application of the Berlekamp-Mas...