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However, such inputs are periodic and their auto-correlation coefficients do not uniformly decay with length.
If Boolean outcomes and conditional independence are assumed for these events, the amount of properly formed protein should follow a binomial distribution, yielding exponential decay with length.
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Such thermal rectification decays with the length of nanoribbon and a critical length of 10 nm is identified for single layer nanoribbon beyond which the thermal rectification disappeared.
Typically, correlations decay with the interval length τ between time points.
This is due to the fact that length distributions of insertions and deletions rapidly decay with increasing indel lengths [ 8].
The new input is a higher order chirp and we show that it not only has uniformly decaying auto-correlation property but also that the auto-correlation decay rate is polynomial with length.
Here, the logarithm of the rate at the end of a branch is modelled with a normal distribution, the mean of which has an expected value equal to the rate at the beginning of the branch; thus, rates are implicitly assumed to be autocorrelated from ancestor to descendent nodes, although this autocorrelation may decay with increasing branch lengths.
For the case of nanorods with decay length ld generally on the order of 10−20 nm, this results in a factor of 1.1 improvement (i.e., 10% decrease in MDL).
Without added cations, the force-distance curve decays exponentially with a characteristic decay length comparable to the polymer radius of gyration (Rg).
Heavy deposits change the shape of the resonator oscillations: their amplitude decreases exponentially from the edge of the deposit with a decay length that depends on the deposit mass.
According to Rayleigh wave solution of the continuum elasticity equation, the strain surrounding a surface distortion should die off exponentially inside the solid with a decay length similar to the disturbance size.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com