The Money Changing Problem is as follows: Let a1 < a2 < · · · < ak be fixed positive integers with gcd(a1, . . . , ak) = 1. Given some integer n, are there non-negative integers x1, . . . , xk such that ∑ i aixi = n? The Frobenius number g(a1, . . . , ak) is the largest integer n such that the above problem has no decomposition x1, . . . , xk. There exist algorithms that, for fixed k, compute t...

We studied framed deformations of two dimensional Galois representation of which the residue representation restrict to decomposition groups are scalars, and established a modular lifting theorem for certain cases. We then proved a family version of the result, and used it to determine the structure of deformation rings over characteristic zero fields. As a corollary, we obtain the L-invariant ...

This paper studies the dynamic relationship among futures price, spot price of Shanghai metal and futures price of London with the co-integration theory, Granger causality tests, residue analysis, impulse responses function, and variance decomposition on the VECM. The study shows the three have the long equilibrium relationship: the copper futures price of Shanghai have internalities to the fut...

This paper presents several time-optimal, and spacetime-optimal systolic arrays for computing a process dependence graph corresponding to the mixed-radix conversion algorithm. The arrays are particularly suitable for software implementations of algrithms from the applications of residue number systems on a programmable systolic/wavefront array. Examples of such applications are exact solution o...

• Thermogravimetric analysis of individual plastics and mixed under N 2 , CO mixture /CO atmospheres. Kinetic parameter for all samples were identified by using modified Coats-Redfern technique. in the reacting gas reduced amount residue. Low activation energy was atmosphere with a ratio 7:3. It is important to understand influence pyrolysis on thermal degradation waste plastics. In this study,...

Objective: Returning crop residue to the soil exerts favorable effects on physical and chemical properties of soil. In fact, the plant residues can affect soil conditions such as pH and important role in soil fertility and cycling of elements in the soil may have. In addition to the role of the organic matter from decomposition of crop residue in increasing the concentration of micronutrients i...

Objective: Returning crop residue to the soil exerts favorable effects on physical and chemical properties of soil. In fact, the plant residues can affect soil conditions such as pH and important role in soil fertility and cycling of elements in the soil may have. In addition to the role of the organic matter from decomposition of crop residue in increasing the concentration of micronutrients i...

This study aims to investigate the possible effects of harvesting activities on litter decomposition in micro ecologic areas belonging to 3 different species (Trojan fir (Abies nordmanniana subsp. Equi-trojani (Aschers & Sint. ex. Boiss) Coode & Cullen), scots pine (Pinus sylvestris L.) and sweet chestnut (Castanea sativa Miller)). To this end, litter decomposition experiments were carried out ...

Given an arbitrary n, we consider anisotropic quadratic forms of dimension n over all fields of characteristic = 2 and prove that the height of an n-dimensional excellent form (depending on n only) is the (precise) lower bound of the heights of all forms of dimension n.

a trial study was carried out to assess the influence of the plant residue management in conjuction with application of different nitrogen sources on wheat yield and components, at the agricultural faculty of shahidchamran university of ahvaz during 2011-2012.the experimental design was splitplot at randomized completed block design arrangement. the main plot were different wheat residue manage...