Under ZFC+CH, we prove that some lattices whose cardinalities do not exceed א1 can be embedded in some local structures of Kleene degrees. 0. We denote by 2E the existential integer quantifier and by χA the characteristic function of A, i.e. x ∈ A⇔ χA(x) = 1, and x 6∈ A⇔ χA(x) = 0. Kleene reducibility is defined as follows: for A,B ⊆ ω, A ≤K B iff there is a ∈ ω such that χA is recursive in a, ...

Receiver operating characteristic (ROC) analysis was used to estimate positional discrimination thresholds for a theoretical simple cell by assuming Poisson distribution of the response, average response strength, and an optimal spatial frequency of 16.0 cyc/deg. These thresholds were compared to the positional difference required to generate a response change of one action potential. This comp...

The Trojan-horse method has been proposed to extract S-matrix elements of a two-body reaction at astrophysical energies from a related reaction with three particles in the ®nal state. This should be useful in cases where the direct measurement of the two-body reaction at the necessary low energies is experimentally dif®cult. The formalism of the Trojan-horse method for nuclear reactions is deve...

A combinatorial 2-manifold is called weakly regular if the action of its automorphism group on its vertices is transitive. A combinatorial 2-manifold is called degree-regular if each of its vertices have the same degree. Clearly, a weakly regular combinatorial 2-manifold is degree-regular. In [5], Lutz has classified all the weakly-regular combinatorial 2-manifolds on at most 15 vertices, among...

Abstract We determine the smallest irreducible Brauer characters for finite quasi-simple orthogonal type groups in non-defining characteristic. Under some restrictions on characteristic we also prove a gap result showing that next larger have degree roughly square of those non-trivial characters.

In 1999, Pieprzyk and Qu presented rotation symmetric (RotS) functions as components in the rounds of hashing algorithm. Later, in 2002, Cusick and Stănică presented further advancement in this area. This class of Boolean functions are invariant under circular translation of indices. In this paper, using Burnside’s lemma, we prove that the number of n-variable rotation symmetric Boolean functio...

OBJECTIVES The purpose of this study was to establish reliability and responsiveness of the dynamic visual acuity test (DVAT) at head speeds of 150-200 degrees per second (deg/s) and the gaze stabilization test (GST) in high school and college football players. DESIGN Reliability design. PARTICIPANTS Fifty high school and college football athletes completed the DVAT and GST in both the yaw ...

Recent conjectures of the c-theorem in four and higher dimensions have suggested that the coefficient of the Euler characteristic in the trace anomaly could measure the degrees of freedom in field theory and decrease along the renormalization-group flow. We compute this quantity for free massless scalar, fermion and antisymmetric tensor fields in any dimension, and analyse its dependence on spi...

A theorem of Tate and Turner says that global function fields have the same zeta function if and only if the Jacobians of the corresponding curves are isogenous. In this note, we investigate what happens if we replace the usual (characteristic zero) zeta function by the positive characteristic zeta function introduced by Goss. We prove that for function fields whose characteristic exceeds their...

In this paper, we propose algorithms to compute differential Chow forms for prime differential ideals which are given by their characteristic sets. The main algorithm is based on an optimal bound for the order of a prime differential ideal in terms of its characteristic set under an arbitrary ranking, which shows the Jacobi bound conjecture holds in this case. Apart from the order bound, we als...