The space-time Greens functions for 3-D poststack and 3-D prestack migration in a homogeneous medium are derived under the fareld approximation. These Greens functions can be used to practically compute synthetic migrated images. Examples are given for the recording footprint noise associated with a point scatterer and a meandering river channel. The Greens functions also provide fundamental in...

Abstract In this article, we study a class of nonlinear fractional differential equation for the existence and uniqueness positive solution Hyers–Ulam-type stability. To proceed work, utilize tools fixed point theory analysis to investigate concern theory. We convert into an integral alternative form with help Greens function. Using desired function, studied proposed equation. next section auth...

Two-tiered putting green profiles feature a sand root zone that sits above a layer of gravel, creating a textural boundary where water is perched or preferentially retained (6). The greater the difference in particle sizes, the more water is retained in the fine-textured layer above (8). Hard, brittle, cemented layers have been observed to form at textural boundaries in two-tiered putting green...

mowing. It is run along the ground on one large wheel which is f ree of the motor operat ing the cutter bar. I t can be tilted to cut up or down slopes and can be pivoted sharply in any direction. It has been found part icularly valuable for cutting around trees, boulders, t raps, creek-bottoms, and other golf course obstructions which formerly required hand cutt ing. The motor scythe, powered ...

The general problem of representing the Greens function G(k,z) in terms of self-energy in field theories lacking Wick’s theorem is considered. A simple construction shows that a Dyson-like representation with a self-energy !(k,z) is always possible, provided we start with a spectral representation for G(k,z) for finite-sized systems and take the thermodynamic limit. The self-energy itself can t...