fifty years ago warren and root have introduced the shape factor. this fundamental parameter for modeling of naturally fractured reservoirs has been discussed stormily ever since. different definitions for shape factor have been suggested which all of them are heuristically based. recently, heinemann and mittermeir mathematically derived - based on the dual-continuum theorem assuming pseudo-ste...

The ability of an organism to survive depends on its capability to adapt to external conditions. In addition to metabolic versatility and efficient replication, reliable signal transduction is essential. As signaling systems are under permanent evolutionary pressure one may assume that their structure reflects certain functional properties. However, despite promising theoretical studies in rece...

The composite powders of barium-magnesium ferrite were prepared using sol-gel auto-combustion and microwave methods. The crystal structure and the shape of nanocomposites have been compared. X-ray Diffraction (XRD), Scanning Electron Microscope (SEM) and Vibrating Sample Magnetometer (VSM) were used to investigate the structural, morphological and magnetic properties of nanopowder. The formatio...

The composite powders of barium-magnesium ferrite were prepared using sol-gel auto-combustion and microwave methods. The crystal structure and the shape of nanocomposites have been compared. X-ray Diffraction (XRD), Scanning Electron Microscope (SEM) and Vibrating Sample Magnetometer (VSM) were used to investigate the structural, morphological and magnetic properties of nanopowder. The formatio...

We establish the universal edge scaling limit of random partitions with infinite-parameter distribution called Schur measure. explore asymptotic behavior wave function, which is a building block corresponding kernel, based on Schrödinger-type differential equation. show that function in general to Airy and its higher-order analogs limit. construct kernel Tracy–Widom from discuss implication mul...