A new shaped circularly polarized dielectric resonator antenna (CP DRA) is studied with branch-line coupler and log-periodic balun for the GPS application. Since the coupler and balun are located under the DRA, it does not increase the footprint of the antenna, as a result the system is very compact. Two configurations are considered in this paper. In the first configuration, an external 50Ω lo...

fracture system in carbonate reservoirs is very complex. understanding the features of fractures such as dip, strike and the other parameters can help to distinguish the behaviour of reservoir in any exploration and production plan. image log is the best way to investigate feature planes like fracture and bedding. image log in one of drilled well #10x393 of bangestan reservoir in gachsaran oilf...

In this paper, we investigate planar upward straight-line grid drawing problems for bounded-degree rooted trees so that a drawing takes up as little area as possible. A planar upward straight-line grid tree drawing satisses the following four constraints: (1) all vertices are placed at distinct grid points (grid), (2) all edges are drawn as straight lines (straight-line), (3) no two edges in th...

We make progress on a number of open problems concerning the area requirement for drawing trees on a grid. We prove that 1. every tree of size n (with arbitrarily large degree) has a straight-line drawing with area n2 √ log logn log log , improving the longstanding O(n log n) bound; 2. every tree of size n (with arbitrarily large degree) has a straight-line upward drawing with area n √ log n(lo...

We prove the bigness of Chow–Mumford line bundle associated to a Q \mathbb {Q} </mml:semantic...