In the crystal of the title compound, C(15)H(18)N(2)O(4)S, inversion dimers are formed by inter-molecular N-H⋯N hydrogen bonds and weak C-H⋯O contacts. These dimers stack up along [100] through inversion-related π-π inter-actions between thia-zole rings [centroid-centroid distance = 3.790 (2) Å] and the thia-zole and benzene rings [centroid-centroid distance = 3.845 (2) Å] and C-H⋯π contacts.

In the mol-ecular structure of the title compound, C(13)H(18)ClNO(3), the amide group is nearly perpendicular to the benzene ring, making a dihedral angle of 85.66 (9)°. The C=O bond distance of 1.242 (3) Å and the C-N bond distance of 1.333 (3) Å suggest electron delocalization in the amide fragment. Inter-molecular O-H⋯O and N-H⋯O hydrogen bonding helps to stabilize the crystal structure.

In this paper, an idea of generalized fuzzy c-distance in fuzzy cone metric space is introduced. A common fixed point theorem is established for a pair of self mappings in fuzzy cone metric spaces by using the concept of generalized fuzzy c-distance. 2010 AMS Classification: : 54A40, 03E72

Introduction: The Alzheimer Disease (AD) is the most common form of dementia that leads to memory impairment. As the oxidative stress plays an important role in AD pathogenesis, the current study aimed at examining the protective effects of Cyperus Rotundus as an antioxidant on amyloid β (Aβ) -induced memory impairment.   Methods: Twenty-eight Wistar male rats received intrahipp...

distance-balanced graphs are introduced as graphs in which every edge uv has the followingproperty: the number of vertices closer to u than to v is equal to the number of vertices closerto v than to u. basic properties of these graphs are obtained. in this paper, we study theconditions under which some graph operations produce a distance-balanced graph.

The problem of optimal transportation between a set of sources and a set of wells has become recently the object of new mathematical models generalizing the Monge-Kantorovich problem. These models are more realistic as they predict the observed branching structure of communication networks. They also define new distances between measures. The question arises of how these distances compare to th...

The asymmetric unit of the title compound, C(9)H(7)N(3)O(2), is composed of two independent mol-ecules. The crystal structure is stabilized by C-H⋯O and C-H⋯N hydrogen bonds, forming a three-dimensional network. The crystal structure also features pyrazine-pyrazine π-π inter-actions [centroid-centroid distance = 3.6994 (5) Å] and also pyridine-pyrazine π-π inter-actions [centroid-centroid dista...

In this paper, we are interested in some metric properties of graphs. In particular, we investigate distance monotonicity in graphs. Straightaway, we revisit the notion of distance monotonicity. We then introduce interval distance monotone graphs, graphs which are not distance monotone but whose intervals are distance monotone. Finally, we obtain a new characterization of hypercubes involving t...