the purpose of this study is the utilization of furfural residue for heating energy and activated carbon production. to evaluate the energy production of the residue, bulk density, melting point, and heating value were measured. furthermore, moisture, ash, volatile compounds, fixed carbon, lignin, and elements were determined. ash and volatile content average were measured at 15.4% and 68.9%, r...

Difference Systems of Sets (DSS) are combinatorial configurations that arise in connection with code synchronization. A method for the construction of DSS from partitions of cyclic difference sets was introduced in [6] and applied to cyclic difference sets (n, (n−1)/2, (n−3)/4) of Paley type, where n ≡ 3 (mod 4) is a prime number. This paper develops similar constructions for prime numbers n ≡ ...

In this paper we present a family of ternary quasi-perfect BCH codes. These codes are of minimum distance 5 and covering radius 3. The first member of this family is the ternary quadratic-residue code of length 13.

Let n ∈ N and let A ⊆ Z/nZ be such that A does not contain 0 and it is non–empty. Generalizing a well known constant, EA(n) is defined to be the least t ∈ N such that for all sequences (x1, . . . , xt) ∈ Z, there exist indices j1, . . . , jn ∈ N, 1 ≤ j1 < · · · < jn ≤ t, and (θ1, · · · ,θn) ∈ A with ∑n i=1 θixji ≡ 0 (mod n). Similarly, for any such set A, we define the Davenport Constant of Z/n...

In this paper, we study explicit and theoretical bounds for several interesting quantities in number theory, conditionally on the Generalized Riemann Hypothesis. Specifically, we improve the existing explicit bounds for the least quadratic non-residue and the least prime in an arithmetic progression. We also refine the classical conditional bounds of Littlewood for L-functions at s = 1. In part...

— For given positive integers a, b, q we investigate the density of solutions (x, y) ∈ Z to congruences ax+ by ≡ 0 mod q.

The free action for the massless sector of the Type II superstring was recently constructed using closed RNS superstring field theory. The supersymmetry transformations of this action are shown to satisfy an N=2 D=10 SUSY algebra with Ramond-Ramond

In this paper quadratic residue codes over the ring Fp + vFp are introduced in terms of their idempotent generators. The structure of these codes is studied and it is observed that these codes share similar properties with quadratic residue codes over finite fields. For the case p = 2, Euclidean and Hermitian self-dual families of codes as extended quadratic residue codes are considered and two...

in the 1970 s, regulations in some counries forced usersof heavy residue to limit pollutant emissions at industrial sites, also forced producers to up grade their heavy products for export and domestic use. for this reason iran as a producer, exporter and consumer has to develop mew upgrading processes.the most common processes for upgrading heavy oil are catalytic processes, but existence of h...