let φ be a w  -continuous homomorphism from a dual banach algebra to c. the notion of φ-connes amenability is studied and some characterizations is given. a type of diagonal for dual banach algebras is dened. it is proved that the existence of such a diagonal is equivalent to φ-connes amenability. it is also shown that φ-connes amenability is equivalent to so-called φ-splitting of a certain s...

would like to thank Mark Watson for correcting a mistake in his summary of Cantor’s argument. 1A note on citations: Mises’s article appeared in German in 1920. An English translation, “Economic Calculation in the Socialist Commonwealth,” appeared in Hayek’s (1990) collection Collectivist Economic Planning in 1935. 2The current paper assumes a basic familiarity with the socialist calculation deb...

Let A be a matrix such that the diagonal matrix D with the same diagonal as A is invertible. It is well known that if (1) A satisfies the Sassenfeld condition then its Gauss-Seidel scheme is convergent, and (2) if D−1A certifies certain classical diagonal dominance conditions then the Jacobi iterations for A are convergent. In this paper we generalize the second result and extend the first resu...

the aim of the present study was to investigate the physicochemical performances at three sites on skin, namely the diagonal, neck and leg based on different age groups. eighteen skins pieces in 6 m, 6 m to 1 yr and 1 yr to 1.5 yr of age were selected to represent means of the respective age groups with regard to skin area. the skin area were7.4±1.41, 13.5±1.4 and 18.2±1.1 ft2 for the ostriches...

from the time that civil engineers have used steel in building structures, they tried to increase its strength so as to produce more economic and lighter structures by using more elegant sections. increase of steel strength is not always useful for all members of a steel structure. in some members under certain conditions, it is needed to reduce the strength as much as possible to improve the b...

Francisco-José Pérez-Reche,1 Fèlix Casanova,2 Eduard Vives,1 Lluís Mañosa,1 Antoni Planes,1 Jordi Marcos,1 Xavier Batlle,2 and Amílcar Labarta2 1Departament d’Estructura i Constituents de la Matèria, Facultat de Física, Universitat de Barcelona, Diagonal 647, 08028 Barcelona, Catalonia, Spain 2Departament de Física Fonamental, Facultat de Física, Universitat de Barcelona, Diagonal 647, 08028 Ba...

We prove that complete sets of orthogonal diagonal Sudoku latin squares (sometimes called Sudoku frames) exist of all orders p, where p is a prime. We also show that complete sets of orthogonal Sudoku frames which are left semi-diagonal exist of all orders p, s > 1. We conjecture that these may be right semi-diagonal also but we do not have a general proof. We show how these complete sets may b...

limit to the tension reinforcement ratio ( ρ) in flexural high strength reinforced concrete (hsrc) members is based on the requirement that tension failure as sufficient rotation capacity are ensured at ultimate limit state. however, the provisions for the total amount of longitudinal reinforcement ratio ( ρ and ρ’) are not associated with any rational derivation. in this paper, a quantitative ...

Let B ∈Mn(C) be a row diagonally dominant matrix, i.e., σi|bii| = n ∑ j=1 j 6=i |bij |, i = 1, . . . , n, where 0 ≤ σi < 1, i = 1, . . . , n, with σ = max1≤i≤n σi. We show that no pivoting is necessary when Gaussian elimination is applied to A = B−1. Moreover, the growth factor for A does not exceed 1 + σ. The same results are true with row diagonal dominance being replaced by column diagonal d...