The paper describes research projects in Germany which develop and use multimedia applications. An overview is given about some of the major players’ (TUB, DeTeBerkom, DFN, FhG, GMD) programs (BERKOM, POLIKOM, RTBs) and applications (JVTOS, MMC, MMM, MMT, VoD).

Let φ (z) be a fixed analytic and univalent function of the form φ(z) = z + ∑∞ k=2 ckz k and Hφ (ck, δ) be the subclass consisting of analytic and univalent functions f of the form f(z) = z + ∑∞ k=2 akz k which satisfy the inequality ∑∞ k=2 ck |ak| ≤ δ. In this paper, we determine the sharp lower bounds for Re { Dpf(z) Dfn(z) } and Re { Dfn(z) Dpf(z) } , where fn(z) = z + ∑n k=2 akz k be the se...

Nowadays, numerical modelings play a key role in analyzing hydraulic problems in fractured rock media. The discrete fracture network model is one of the most used numerical models to simulate the geometrical structure of a rock-mass. In such media, discontinuities are considered as discrete paths for fluid flow through the rock-mass while its matrix is assumed impermeable. There are two main pa...

Natural fractured rocks usually contain background granular media and multi-scale fractures. The coordination number is a crucial factor to characterize the connection of microstructural elements. determination numbers for modeling essential interpret distribution cracks related micromechanical properties. We have built consistent workflow discrete element models (DEMs) coupled with fracture ne...

This paper introduces a comprehensive C++ software package, HatchFrac, for stochastic modeling of fracture networks in two and three dimensions. The inverse cumulative distribution function (CDF) acceptance–rejection methods are applied to generate random variables from the distributions commonly used discrete network (DFN) modeling. multilayer perceptron (MLP) machine learning approach, combin...

We consider problems of provisioning a good to a number of participants who are able to communicate information about their private preferences for the good. The good may or may not be a public good. This provisioning is to be done in a manner that is incentive compatible, rational and feasible (in senses to be described). We show that as the number of participants becomes large there is a limi...

A numerical characterization of a fractured rock mass and its mechanical behavior using discontinuum approach was carried out utilizing lattice-spring-based synthetic (LS-SRM) models. First, LS-SRM models on laboratory scale were created to reproduce standard tests Triassic sandstone samples from quarry in Germany. Subsequently, the intact properties upscaled an element volume representative fo...

The stability of a rock slope is strongly influenced by the pattern groundwater flow through fracture system, which may lead to an increase in water pressure partly open joints and consequent decrease wall strength. comprehension challenging but vital aspect engineering geology since fractures’ spatial distribution, connectivity, aperture guide both movement quantity within volume. In literatur...

Subsurface applications including geothermal, geological carbon sequestration, oil and gas, etc., typically involve maximizing either the extraction of energy or the storage of fluids. Characterizing the subsurface is extremely complex due to heterogeneity and anisotropy. Due to this complexity, there are uncertainties in the subsurface parameters, which need to be estimated from multiple diver...

The equivalent pipe network (EPN) model is an effective way to fluid flow in large-scale fractured rock masses with a complex fracture due its straightforwardness and computational efficiency. This study presents the EPN for characterizing through three-dimensional networks using Monte-Carlo method. extracted from original discrete (DFN) used simulate processes. validity of proposed modeling ap...