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The last equality implies that on the C [ 0, π ] -space the function in brackets is a stationary function of the fractional Sturm-Liouville problem for Coulomb potential.
The explicitly calculated function allows us to estimate the second component of the stationary function ϕ 0 of the differential part of the Sturm-Liouville operator D π, − α p ( x ) C D 0, + α ϕ 0 ( x ) = 0, which looks as follows: ϕ 0 ( x ) = ξ 1 + ξ 2 I 0, + α ( π − x ) α − 1 Γ p ( x ) = ξ 1 + ξ 2 ψ ( α, 0, x ).
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Anthony Tommasini has already noted in The New York Times that this apparatus — which often resembles a kinetic sculpture — may be at its best when quietly stationary, functioning foremost as a video screen, and he may be right.
In addition to these well-understood motors, eukaryotic cells contain numerous unconventional myosins, which share a myosin-motor domain (MMD) but are thought to have more stationary functions rather than travelling along the actin filament (Woolner and Bement, 2009).
Instead of using a bandlimited white noise process, the stationary covariance function in (10) is replaced with the covariance function of a bandlimited peaked spectrum according to [6]: (14).
stationary random function.
He assumed that demand is characterized by a known stationary distribution function.
In the sequel, we show how to determine the analytical stationary density function (f tilde{rho})) of the SCP (22).
The problem of classification of Gaussian random field observations into one of two populations specified by different regression mean models and common stationary covariance function is considered.
We assume a layered structure, with permeability a stationary random function of the vertical coordinate, of given mean and two point covariance.
Setting s = t and taking the limit as t → ∞, we obtain the stationary covariance function Cov [ X ( t ), X ⊺ ( t ) ] = lim t → ∞ ∫ 0 t exp [ L ( t − t ′ ) ] B B ⊺ exp [ L ⊺ ( t − t ′ ) ] d t ′. (106).
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CEO of Professional Science Editing for Scientists @ prosciediting.com