Describing the relative magnitude and controls of herbivory and decomposition is important in understanding the trophic transference, recycling, and storage of carbon and nutrients in diverse ecosystems. We examine the variability in herbivory and decomposition between and within a wide range of aquatic and terrestrial ecosystems. We also analyze how that variability is associated with differen...

We study the problem of optimizing over parameters a particular real root of a polynomial with parametric coefficients. We propose an efficient symbolic method for solving the optimization problem based on a special cylindrical algebraic decomposition algorithm, which asks for a semi-algebraic decomposition into cells in terms of Number-of-Roots-invariant. Mathematics Subject Classification (20...

A unified decomposition scheme for two very important cyclic nitramines used as primary explosives RDX and HMX has been constructed using ab initio Density Functional Theory (DFT) calculations. Molecular parameters such as vibrational frequencies and moments of inertia corresponding to the computed potential energy profile of unimolecular decomposition of these nitramines were then used to obta...

In this paper a new approach for transmission pricing is presented. The main idea is voltage angle allocation, i.e. determining the contribution of each contract on the voltage angle of each bus. DC power flow is used to compute a primary solution for angle decomposition. To consider the impacts of system non-linearity on angle decomposition, the primary solution is corrected in different itera...

abstract soil microbial activity and biochemical processes are often limited by carbon availability in arid- and semi-arid regions, probably due to the low organic matter content. consequently, return of plant residues to soil is a convenient and effortless practice for increasing microbial activities and biochemical reactions. the primary objective of this study was to evaluate the effect of v...

Table of contents 1. Primary ideals 1 2. Primary modules 3 3. Primary decompositions 6 4. More ways to get associated primes 11 5. Witnesses 14 6. Canonical primary decomposition 17 7. Associated primes of powers of an ideal 18 8. Primary decompositions of powers of an ideal 20 9. An algorithm for computing primary decompositions 24 10. Complexity of associated primes 28 11. Exercises 31 Biblio...

in this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems. this paper mainly to discuss a new decomposition of a nonsingular fuzzy matrix, the symmetric times triangular (st) decomposition. by this decomposition, every nonsingular fuzzy matrix can be represented as a product of a fuzzy symmetric matrix s and a fuzzy triangular matrix t.

It is known that algorithms exist which compute primary decompositions of polynomial ideals (Gianni et al., 1988; Eisenbud et al., 1992; Becker and Weispfenning, 1993; and more recently Shimoyama and Yokoyama, 1996). However, in case the ideal is binomial, binomiality of its primary components is not assured, that is, the above algorithms do not necessarily compute a decomposition into binomial...

1. Primary ideals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2. Primary modules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 3. Primary decompositions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 4. More ways to get associated primes . . . . . . . . . . . . . . . . . . . . . . . 12 5. Witnesses . . . . . . . . . . . . . . . . . . ...