Syntactic recursion is argued to be a key property of natural languages, allowing us to create an infinite number of utterances from a finite number of words and rules. Some have argued that recursion is uniquely human. There are at least two possibilities for the origins of recursion: 1) Recursion is a property of the language faculty. 2) Recursion is an historical accomplishment and is cultur...

values in A. This justifies the choice of the backward and forward terminology above. We denote by, respectively, F(C, f) and B(C, f) the set of Fand Bcomplete abstractions of C for f . It is worth noting that in general F(C, f) 6⊆ B(C, f) and F(C, f) 6⊆ B(C, f), namely Band F-completeness are incomparable notions. Example 1. Let Sign be the simple abstraction of 〈℘(Z),⊆〉 for analysing integer ...

Bumb and Hoede have shown that a cooperative game can be split into two games, the reward game and the fine game, by considering the sign of quantities c v S in the c-diagram of the game. One can then define a solution x for the original game as x = x r − x f , where x r is a solution for the reward game and x f is a solution for the fine game. Due to the distinction of cooperation rewards and ...

we investigate the problem of the existence of a frame forright ideals of a c*-algebra a, without the use of the kasparov stabilizationtheorem. we show that this property can not characterize a as a c*-algebraof compact operators.

In this paper, we study polynomials with only real zeros based on the method of compatible zeros. We obtain a necessary and sufficient condition for the compatible property of two polynomials whose leading coefficients have opposite sign. As applications, we partially answer a question proposed by M. Chudnovsky and P. Seymour in the recent publication [M. Chudnovsky, P. Seymour, The roots of th...

We prove that for every finite dimensional compact metric space X there is an open continuous linear surjection from Cp[0, 1] onto Cp(X). The proof makes use of embeddings introduced by Kolmogorov and Sternfeld in connection with Hilbert’s 13th problem.

Magnetic helicity (MH) is a measure of twist and shear magnetic field. MH injected in the active region (AR) corona through photospheric footpoint motions causing twisted sheared fields. From conservation property helicity, it was conjectured that an already flux rope (FR) with continuous injection inevitably erupts to remove excess accumulated coronal helicity. Therefore, understanding nature ...

The manufacturing operations often involve multistage processes where the process capability of each stage is affected by the process capability of its precedent processes. This property is known as the cascade property. The purpose of this paper is to estimate the process capability of the second stage of two-stage process while the cascade property impact is removed using residuals analysis. ...

A topological group G is sequentially h-complete if all the continuous homomorphic images of G are sequentially complete. In this paper we give necessary and sufficient conditions on a complete group for being compact, using the language of sequential h-completeness. In the process of obtaining such conditions, we establish a structure theorem for ω-precompact sequentially h-complete groups. As...