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The extinction function of the medium is assumed to be a continuous random function of position, with fluctuations about the mean taken as Gaussian distributed.
Let be a continuous random mapping.
Let X:Ω→ 0,∞) be a continuous random variable with cdf F x).
Let be a complete separable metric space, and let be a continuous random operator.
Let X be a continuous random vector that has pdf f.
Definition 5.1 Let ξ I ∈ I be a continuous random variable with continuous probability density function p I : I → ( 0, ∞ ).
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It's a continuous random variable.
If it's a continuous random variable, if x is continuous, then the expectation of x is an integral of the probability density of x, times x dx.
If inherent cost is a continuous random variable, such a scheme certainly violates incentive compatibility.
The micro-crack length is a continuous random variable following a given probability distribution.
end{aligned} Thus, N is a continuous random operator.
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