Two debates over value are nearly coeval with philosophy itself. One debate is what good for its own sake (intrinsically good), the other contributes to an individual's welfare (“what would make this person's life go, him, as well possible”).1 These two debates, “the good” and good-for,” distinct, yet they have been parallel both in their leading theories main objections. Historically, hedonist...

duns scouts the famous theologian of thirteen century under the influence of avecina’s doctorine of “nature” on the basis of hierarchy of the unity presents a hypothesis and describes the unconditioned nature as minor unity and individual entities as numerical unity. as an celeberating hypothesis of“distinct forms” it accounts with the haeccity as the criterion of individuality of external enti...

Let E be an elliptic curve, and let Ln be the Kummer extension generated by a primitive pnth root of unity and a pn-th root of a for a fixed a ∈ Q − {±1}. A detailed case study by Coates, Fukaya, Kato and Sujatha and V. Dokchitser has led these authors to predict unbounded and strikingly regular growth for the rank of E over Ln in certain cases. The aim of this note is to explain how some of th...

• Let R be a ring. Let u ∈ N and v ∈ N, and let ai,j be an element of R for every (i, j) ∈ {1, 2, ..., u} × {1, 2, ..., v} . Then, we denote by (ai,j) 1≤i≤u the u× v matrix A ∈ Ru×v whose entry in row i and column j is ai,j for every (i, j) ∈ {1, 2, ..., u} × {1, 2, ..., v} . • Let R be a commutative ring with unity. Let P ∈ R [X] be a polynomial. Let j ∈ N. Then, we denote by coeffj P the coef...

We analyze in this paper the asymptotic behavior of the specification test of Aït-Sahalia (1996) for the stationary density of a diffusion process, but when the diffusion is not stationary. We consider integrated and explosive processes, as well as nearly integrated ones in the spirit of the local to unity analysis in classical unit root theory. We find that the behavior of the test predicted b...

Abstract As it is well known there are few “starting points” in portfolio optimization process, i.e. in the stock selection process. Famous Markowitz’ optimization model is unavoidable in this job. On the other side, someone may say that the indicators of the fundamental analysis must be the starting point. Beside that, the suggestions of the technical analysis must be taken into consideration....

We consider the use of generalized Ding-Helleseth cyclotomy to design sequences over the finite field of order four. Using generalized cyclotomic classes of order four we obtain the family of balanced sequences of odd period with high linear complexity. Also we present a method of constructing sequences with high linear complexity and arbitrary even period over the finite field of order four. T...

Let K be a cyclic Galois extension of degree p over a field F containing a primitive pth root of unity. We consider Galois embedding problems involving Galois groups with common quotient Gal(K/F ) such that corresponding normal subgroups are indecomposable Fp[Gal(K/F )]modules. For these embedding problems we prove conditions on solvability, formulas for explicit construction, and results on au...

Let K be a cyclic Galois extension of degree p over a field F containing a primitive pth root of unity. We consider Galois embedding problems involving Galois groups with common quotient Gal(K/F ) such that corresponding normal subgroups are indecomposable Fp[Gal(K/F )]modules. For these embedding problems we prove conditions on solvability, formulas for explicit construction, and results on au...

In 1977 Kervaire and Murthy presented three conjectures regarding K0ZCpn , where Cpn is the cyclic group of order p n and p is a semi-regular prime that is p does not divide h (regular p does not divide the class number h = hh). The Mayer-Vietoris exact sequence provides the following short exact sequence 0 → Vn → PicZCpn → ClQ(ζn−1)× PicZCpn−1 → 0 Here ζn−1 is a primitive p -th root of unity. ...