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The state is very homogeneous demographically, meanwhile — very white and very working-class — so some of the shortcuts that pollsters take if they don't collect a sufficiently random sample initially, like demographic weighting, will not bail them out here.
This is just to show that the hits are sufficiently random to make the obfuscation process effective.
Surprisingly, for satisfying the Diehard randomness tests, loading an operand with its bits rotated by a fixed amount proved to be sufficiently random.
If the physical properties of a structural component are sufficiently random then the statistical distribution of the natural frequencies and mode shapes tends to a universal distribution associated with the Gaussian Orthogonal Ensemble (GOE) of random matrices.
The only main assumption involved in the hybrid FE/SEA theory is that the non-deterministic boundaries of each SEA subsystem are sufficiently random [38, 39] such that the diffuse field reciprocity relation [Eq. (6)] can hold to be valid.
We applied this idea to a biological context, and showed that localization can indeed emerge from sufficiently random node properties.
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Almost every sufficiently sparse random graph is pseudoforest.
This implies the collective mode corresponds to a global, a-specific adjustment of the expression network that can be appreciated even in the case of a sufficiently populated random sample of genes.
It asserts that if sufficiently large random samples are drawn from a population then the distribution of sample means is approximately normal.
However, if a prior expectation regarding the presence of a stimulus is sufficiently precise, random fluctuations become perceived as a stimulus; perception will then reinforce the strength of the prior, exacerbating the problem.
The above simulations indicate that for sufficiently large r, random cooperative networks tend to have highly ordered dynamics, and that the amount of chaos, at least in terms of the lengths of observed periodic orbits and the percentage of eventually frozen nodes, is very low.
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