In this paper, we investigate the L-fuzzy proximities and the relationships betweenL-fuzzy topologies, L-fuzzy topogenous order and L-fuzzy uniformity. First, we show that the category of-fuzzy topological spaces can be embedded in the category of L-fuzzy quasi-proximity spaces as a coreective full subcategory. Second, we show that the category of L -fuzzy proximity spaces is isomorphic to the ...

conclusions based on the clinical and radiographic examinations, implant-tooth approximation (less than 1 mm or direct contact) is not related to pulp vitality of the tooth. further studies with larger sample sizes are necessary to confirm the results of the study. results among the 31 assessed implants and the adjacent intact teeth, 13 implants had direct contact and 18 implants had proximity ...

the average distance of a vertex $v$ of a connected graph $g$is the arithmetic mean of the distances from $v$ to allother vertices of $g$. the proximity $pi(g)$ and the remoteness $rho(g)$of $g$ are defined as the minimum and maximum averagedistance of the vertices of $g$. in this paper we investigate the difference between proximity or remoteness and the classical distanceparameters diameter a...

experiment-based report of imam ali (peace upon him) to be knowing god lead to revoke the out goings and opening the shuttings is a new way in theology. encountering the commentators of nahj-al-balaghah with this narration is the current / present research’s matter. they define and comprise their common and different status in understanding imam ali’s (peace be upon him) speeches. they analize ...

We introduce a new problem in the study of doubling spaces: Given a point set S and a target dimension d∗, remove from S the fewest number of points so that the remaining set has doubling dimension at most d∗. We present a bicriteria approximation for this problem, and extend this algorithm to solve a group of proximity problems.