The dynamical behavior of a map on the unit interval has been the subject of much contemporary research. In this paper, we will consider the relation between the continuity of the map cof and cof for some positive integer k, where f is a continuous map from the unit interval to itself, and ?f is a function which takes any element of the unit interval to the set of all subsequential limits o...

BACKGROUND The development and demonstration of incremental trainee autonomy is required by the ACGME. However, there is scant published research concerning autonomy of ophthalmology residents in the outpatient clinic setting. This study explored the landscape of resident ophthalmology outpatient clinics in the United States. METHODS A link to an online survey using the QualtricsTM platform w...

We introduce a new class of fuzzy open sets called fuzzy $bigwedge_e$ sets which includes the class of fuzzy $e$-open sets. We also define a weaker form of fuzzy $bigwedge_e$ sets termed as fuzzy locally $bigwedge_e$ sets. By means of these new sets, we present the notions of fuzzy $bigwedge_e$ continuity and fuzzy locally $bigwedge_e$ continuity which are weaker than fuzzy $e$-continuity and f...

Abstract. In this paper, we first derive specific results concerning the continuity and upper semi-continuity of the spectral radius and spectrum functions on fundamental locally multiplicative topological algebras. We continue our investigation by further determining the automatic continuity of linear mappings and homomorphisms in these algebras.

Let (K, 3) be a (commutative) topological field. (We do not require that multiplicative inversion be continuous, i.e. 3 is a ring topology. See [l, p. 274] for the definition of the latter.) Throughout this paper, 11 will denote a basic system of neighborhoods of zero for 3. Let P(X) be a polynomial in K[X] of degree »sS2, and let S= {P(a)\a£EK}. We will be concerned with suitably defining a mu...

We present a new approach to determine the 3-D topography and lateral continuity of seismic interfaces using 2-D-derived controlled-source seismic reflector data. The aim of the approach is to give the simplest possible structure consistent with all reflector data and error estimates. We define simplicity of seismic interfaces by the degree of interface continuity (i.e. shortest length of offse...

We introduce a genuine summation-integral type operators based on Lupaş-Jain base functions related to the unbounded sequences. investigated their degree of approximation in terms modulus continuity and ????-functional for from bounded continuous space. Furthermore, we give some theorems local properties belonging Lipschitz class. Also, Voronovskaja theorem these operators.

using analytical method of usul al-fiqh, the present essay deals with opinions of shiite usulis on this question whether continuity of the previous state can be used with regard to time, temporal affairs, and affairs conditioned upon time. as for the first, we investigate opinions of usulis in this connection first, answer the problem of lack of doubt as to subsistence and that of lack of unity...

Curvature continuous surfaces with subdivision structure are constructed by higher-order sampling of a piecewise polynomial guide surface, at positions defined and derivatives weighted by a special, scalable reparametrization. Two variants are developed. One variant applies to the conventional sprocket subdivision layout, say of Catmull-Clark subdivision, i.e. nested rings consisting of N copie...