The most severe scientific problems lie in the assimilation of inhomogeneous
asynchronous data over this wide range of scales, from the regional-scale first guess from an operational model to grid-scale Doppler radar data in precipitation areas and the boundary layer.
TVS done preoperatively in all these 110 cases showed 60% had inhomogeneous
mass adjacent to ovary, 20.8% had a mass with hyper echoic ring around gestational sac, 8% had G.
signal intensity of cervical stroma###32.8
Abdominal computed tomography (CT) and magnetic resonance imaging (MRI) revealed an approximately 12 cm x 9 cm x 8 cm, round-like, well-defined and cystic mass with inhomogeneous
enhancement in the left upper abdomen (Fig.
Kim and Noz introduce the mathematical tool that Eugene Paul Wigner presented in his 1939 article "On Unitary Representations of the Inhomogeneous
Lorentz Group," in the Annals of Mathematics and show how to use it to extend Einstein's special relativity to extended objects like the hydrogen atom or the proton in the quark model.
Ripley's K-function was used for the spatial distribution patterns analysis of the species by means of second-order factors (Baddeley, Moller, & Waagepetersen, 2000), considering a 250 m influence radius, through estimator and edge correction presented by Ripley (1977).
Results: The maximum percentage (%) deviation with a large field for six inhomogeneous
inserts and with bone only homogeneous inserts were 3.4% and 2.9%, respectively.
To study such underground structures, three types of mechanical models have been developed: the loading model for homogeneous frozen walls [3, 20], the loading model for inhomogeneous
frozen walls considering the radial variation of temperature, and the homogeneous unloading model considering excavation unloading and the interaction between the homogeneous frozen wall and surrounding rock [21, 22].
The theoretical investigation of electromagnetic field behavior within a cylindrical inhomogeneous
plasma structure is usually carried out through eigenfunction expansions [11, 12], which consists of expanding the electromagnetic field in Bessel functions, or other eigenfunctions appropriate to the problem's geometry, and then finding the unknown expansion coefficients by application of boundary conditions within the plasma and at the plasma container's boundaries.
Interestingly, by studying the gravitational effects of the constantly fluctuating vacuum, they found its local energy density to be highly inhomogeneous
. As a result of this inhomogeneity, the spatial distance between a pair of neighboring points undergoes constant phase transitions in the form of rapid changes between expansion and contraction.
modified Chaplygin gas equations have the following form: