In this Letter, we derive exponent inequalities relating the dynamic exponent z to the steady state exponent Γ for a general class of stochastically driven dynamical systems. We begin by deriving a general exact inequality, relating the response function and the correlation function, from which the various exponent inequalities emanate. We then distinguish between two classes of dynamical syste...

the quality of the river water is assessed in different months in different stations to evaluate the change in the quality in re1ation with the various point sources along the river. thirteen parameters were measured in the samples manually taken from three meters off shore in 20 cm. depth in four points representing the quality in four reaches under consideration. the results revealed that nat...

A conceptually simple method for derivation of lower bounds on the error exponent of specific families of block codes used on classical-quantum channels with arbitrary signal states over a finite Hilbert space is presented. It is shown that families of binary block codes with appropriately rescaled binomial multiplicity enumerators used on binary classical-quantum channels and decoded by the su...

Recently, a holographic argument was used to relate the saturation exponent, γ BF KL , of four-dimensional Yang-Mills theory in the Regge limit to the Choptuik critical scaling exponent, γ 5d , in 5-dimensional black hole formation via scalar field collapse [1]. Remarkably, the numerical value of the former agreed quite well with previous calculations of the latter. We present new results of an...

The topographic wetness index (TWI), frequently used in approximately characterizing the spatial distribution of soil moisture and surface saturation within a watershed, has been widely applied in topography-related geographical processes and hydrological models. However, it is still questionable whether the current algorithms of TWI can adequately model the spatial distribution of topographic ...

In this work, we introduce the notion of the error exponent region for a multi-user channel. This region specifies the set of error-exponent vectors that are simultaneously achievable by all users in the multi-user channel. This is done by associating different probabilities of error for different users, contrary to the traditional approach where a single probability of system error is consider...

We are interesting in the error exponent for source coding with fidelity criterion. For each fixed distortion level ∆, the maximum attainable error exponent at rate R, as a function of R, is called the reliability function. The minimum rate achieving the given error exponent is called the minimum achievable rate. For memoryless sources with finite alphabet, Marton (1974) gave an expression of t...

Topographic wetness index (TWI) can quantify the control of local topography on hydrological processes and indicate the spatial distribution of soil moisture and surface saturation. The formulation is TWI=ln(a/tanβ), where a is the upslope contributing area per unit contour length and β is the local gradient. Many of the existing flow-direction algorithms for computing a use global partition ex...

The flow of dry granular material in a half-filled rotating drum is studied. The thickness of the flowing zone is measured for several rotation speeds, drum sizes and beads sizes (size ratio between drum and beads ranging from 47 to 7400). Varying the rotation speed, a scaling law linking mean velocity vs. thickness of the flow, v approximately h(m), is deduced for each couple (beads, drum). Th...