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On the parity complexity measures of Boolean functions
Computational complexity Communication complexity Parity decision tree Log-Rank conjecture
2012/11/30
The parity decision tree model extends the decision tree model by allowing the computation of a parity function in one step. We prove that the deterministic parity decision tree complexity of any Bool...
Complexity
Complexity phenomenon
2010/4/6
There is no single definition of complexity (Edmonds 1999; Gershenson 2008; Mitchell 2009), as it acquires different meanings in different contexts. A general notion is the amount of information requi...
Uncertainty in the determination of soil hydraulic parameters and its influence on the performance of two hydrological models of different complexity
soil hydraulic parameters performance two hydrological models different complexity
2010/2/20
Data of soil hydraulic properties forms often a limiting factor in unsaturated zone modelling, especially at the larger scales. Investigations for the hydraulic characterization of soils are time-cons...
Uncertainty in the determination of soil hydraulic parameters and its influence on the performance of two hydrological models of different complexity
Uncertainty determination soil hydraulic parameters performance hydrological models
2010/3/5
Data of soil hydraulic properties forms often a limiting factor in unsaturated zone modelling, especially at the larger scales. Investigations for the hydraulic characterization of soils are time-cons...
The role of hydrological model complexity and uncertainty in climate change impact assessment
hydrological model complexity climate
2010/2/3
Little quantitative knowledge is as yet available about the role of hydrological model complexity for climate change impact assessment. This study investigates and compares the varieties of different ...
Magnetic Doppler imaging of alpha^2 Canum Venaticorum in all four Stokes parameters--Unveiling the hidden complexity of stellar magnetic fields
polarization stars atmospheres stars chemically peculiar stars magnetic fields stars individual: 2 CVn
2010/3/8
Strong organized magnetic fields have been studied in the upper main sequence chemically peculiar stars for more than half a century. However, only recently have observational methods and numerical te...
We study the power of nonadaptive quantum query algorithms, which are algorithms whose queries to the input do not depend on the result of previous queries. First, we show that any bounded-error nonad...
Statistical Complexity in Traveling Densities
Statistical complexity traveling densities distribution shape
2010/4/7
In this work, we analyze the behavior of statistical complexity in several systems where two identical densities that travel in opposite direction cross each other. The crossing between two Gaussian, ...
Mechanisms and time scales of glacial inception simulated with an Earth system model of intermediate complexity
Mechanisms Milankovitch forcing time scales
2009/12/3
We investigate glacial inception and glacial thresholds in the climate-cryosphere system utilising the Earth system model of intermediate complexity CLIMBER-2, which includes modules for atmosphere, t...
Frustration and disorder in granular media and tectonic blocks:implications for earthquake complexity
granular media tectonic blocks implications for earthquake complexity
2009/11/16
We present exploratory analogies and speculations on the mechanisms underlying the organization of faulting and earthquake in the earth crust. The mechanical properties of the brittle lithosphere at s...
A simple model for the earthquake cycle combining self-organized complexity with critical point behavior
earthquake cycle self-organized complexity critical point behavior
2009/11/12
We have studied a hybrid model combining the forest-fire model with the site-percolation model in order to better understand the earthquake cycle. We consider a square array of sites. At each time ste...
Anisotropic scaling features and complexity in magnetospheric-cusp:a case study
Anisotropic scaling features complexity magnetospheric-cusp
2009/11/11
Magnetospheric cusps are high-latitude regions characterized by a highly turbulent plasma, playing a special role in the solar wind-magnetosphere interaction. Here, using POLAR satellite magnetic fiel...
Complexity and predictability of daily precipitation in a semi-arid region:an application to Ceará,Brazil
Complexity predictability daily precipitation semi-arid region
2009/11/9
Complexity and predictability of daily precipitation in a tropical semi-arid region (Ceará State, Brazil) is assessed by applying entropy concepts. Precipitation regimes in that region depend on sever...
In their position paper entitled "Towards a new, complexity science of learning and education", Jorg et al. (2007) argue that educational research is in crisis. In their opinion, the transdisciplinary...
Effect of Scale on the Complexity of Snowmelt Systems
Effect of Scale Complexity Snowmelt Systems
2009/10/28
During the melt season of 1978, the nature of snow and ice storage, the energy
sources and the stream flow response were investigated at a site, a small-scale
and a meso-scale watershed in the Coast...