Sentence examples for value of a stationary from inspiring English sources

The cumulative distribution function (CDF) of the extreme value of a stationary Gaussian process X t) over time duration T can be expressed as follows Q_{hbox{max} } (x) = exp [ - nu (x T], (1 where v(x) is the upcrossing rate at level x.

In conclusion, Acquavella et al. (2004) treated a single sample at the end of a non-stationary time series with declining mean and finite variance as if it were actually the true mean value of a stationary process with zero variance.

It can be shown that the function is convex and that according to the first rule of finding the maximum value of a function, stationary points can be determined by differentiating Equation (9) Note : ∂ d b p 1 ∂ b = B exp [ - W ( F ) ] ln 10 20 α [ 1 + W ( F ) ] and ∂ d b p 2 ∂ b = B exp [ - W ( - F ) ] ln 10 20 α [ 1 + W ( - F ) ] and then solving the differentiated function for zeros.

For this purpose, we first derive the probabilistic properties of the maximum values of a non-stationary and zero-mean white noise, whose standard deviation varies temporally under some limited conditions.

Stationary Profiles (3.2) given by p ( v ) = N a ( N ) e − ( v − V 0 ( N ) ) 2 2 a ( N ) ∫ max ( v, V R ) V F e ( w − V 0 ( N ) ) 2 2 a ( N ) d w, Stationary Profiles (3.2) given by p ( v ) = N a ( N ) e − ( v − V 0 ( N ) ) 2 2 a ( N ) ∫ max ( v, V R ) V F e ( w − V 0 ( N ) ) 2 2 a ( N ) d w, with N an approximate value of the stationary firing rate.

The left subplot presents the evolution on time of the firing rate for different distribution function starting with profiles given by the expression (3.2) with N an approximate value of the stationary firing rate.

The more difficult step in the reconstruction procedure is the first one: given a cell value, a stationary solution of the system has to be found whose average at the cell equals the given value.

In wind engineering community, Davenport's closed-form formula was extensively applied in extreme value estimation of a Gaussian stationary response.

The amorphous state of such objects at low temperatures is stabilized by the high viscosity and the small value of the stationary nucleation rate of the crystal phase.

Each element (x_{j}^{(*,i)}) in (x^{(*,i)}) is the probability value of the stationary state that the walking agent hits the vertex (v_{j}) when the seed vertex is (v_{i}).

The slope of the exponential growth phase and the mean value of the stationary phase were determined using GraphPad Prism version 5.00 (GraphPad Software, San Diego, CA, U.S).