We consider functions de ned by ground convergent left linear rewrite systems By restricting the depth of left sides and disallow ing de ned symbols at the top of right sides we obtain an algorithm for function inversion

We present here a novel approach to the analysis of common knowledge based on category theory. In particular, we model global epistemic state for given set agents through hierarchy beliefs represented by presheaf construction. Then, employing properties categorical monad, prove existence state, obtained in an iterative fashion, which all acquire some underlying statement. order guarantee fixed ...

Node similarity is a fundamental problem in graph analytics. However, node similarity between nodes in different graphs (inter-graph nodes) has not received a lot of attention yet. The inter-graph node similarity is important in learning a new graph based on the knowledge of an existing graph (transfer learning on graphs) and has applications in biological, communication, and social networks. I...

Background Lots of studies on maxillary anterior teeth proportions have been studied in different populations in various countries, but no studies have been conducted in Nepal on the esthetic maxillary anterior teeth proportions. Objective The study was done to investigate the maxillary anterior teeth proportions in a Nepalese population. Teeth proportions in the total population were compared ...

Background Gamelan, a traditional music ensemble has become the most popular played by Balinese people for decades, both as leisure and religious activities. Musical activity can enhance cognitive function. However, there are limited activities retired musicians. Aim Alzheimer Indonesia Nederland Foundation (ALZI Ned) initiated “Melody Memory Project” which aimed to increase quality of life dem...

Jachymski [ Proc. Amer. Math. Soc., 136 (2008), 1359-1373] gave modified version of a Banach fixed point theorem on a metric space endowed with a graph. In the present paper, (G, Φ)-graphic contractions have been de ned by using a comparison function and studied the existence of fixed points. Also, Hardy-Rogers G-contraction have been introduced and some fixed point theorems have been proved. S...

In this paper we analyze the asymptotic properties of the popular distribution tail index estimator by Hill (1975) for dependent, heterogeneous processes. We develop new extremal dependence measures that characterize a massive array of linear, nonlinear, and conditional volatility processes with long or short memory. We prove that the Hill estimator is weakly and uniformly weakly consistent for...