Given an LLL-basis B of dimension n = hk we accelerate slide-reduction with blocksize k to run under a reasonable assumption in 1 6 nh log1+ε α local SVP-computations in dimension k, where α ≥ 4 3 measures the quality of the given LLL-basis and ε is the quality of slide-reduction. If the given basis B is already slide-reduced for blocksize k/2 then the number of local SVP-computations for slide...

Mixing in viscous fluids is challenging, but chaotic advection in principle allows efficient mixing. In the best possible scenario, the decay rate of the concentration profile of a passive scalar should be exponential in time. In practice, several authors have found that the no-slip boundary condition at the walls of a vessel can slow down mixing considerably, turning an exponential decay into ...

climate change phenomenon is an important environmental challenge of the world. increasing extension of greenhouse gases and remote relationship phenomena accelerate the speed f climate change. changes in precipitation level, drought occurrence and changes in the level of surface and groundwater resources are the recognized consequences of climate change. in order to study consequences of clima...

We present several state-of-the-art first-order methods for well-structured large-scale nonsmooth convex programs. In contrast to their black-boxoriented prototypes considered in Chapter 5, the methods in question utilize the problem structure in order to convert the original nonsmooth minimization problem into a saddle-point problem with a smooth convex-concave cost function. This reformulatio...

under the table or informal payments in several middle and low income countries is a serious impediment to health care reform. these payments are effectively a form of systemic corruption. this report shows the efforts of a patient who seek health care for his ankle while being requested to pay under the table in hospital and private clinic. the data were collected by interview and surveying pa...

in this paper, we study the finitely many constraints of the fuzzyrelation inequality problem and optimize the linear objectivefunction on the region defined by the fuzzy max-product operator.simplification operations have been given to accelerate theresolution of the problem by removing the components having noeffect on the solution process. also, an algorithm and somenumerical and applied exa...