Sentence examples for defined by the random from inspiring English sources
Perform resampling of the state's genealogical line by drawing from a categorical distribution defined by the random measure f M (x t ).
We also plan to analyze the diffusion properties of ReDif-PF by investigating the long-term statistical properties of the sequence of visited nodes {r n },n > 0, defined by the random exchange protocol starting from a random node r0.
If (sum_{n=1}^{infty}a_{n}=infty), then the sequence ({xi_{n} omega)}_{n=1}^{infty}) of functions defined by the random Mann iterative process (2.13) converges strongly to (x^{ast} omega)) almost surely.
If (sum_{n=1}^{infty}alpha _{n}=infty), then the sequence ({x_{n} omega)}_{n=1}^{infty}) of functions defined by the random Picard-Mann hybrid iterative process (2.15) converges strongly to (x^{ast} omega)) almost surely.
Let (x^{ast} omega)) be a random fixed point of T. Let ({x_{n}} _{n=0}^{infty}) be the sequence of functions defined by the random Picard-Mann hybrid iterative process (2.15) converging strongly to (x^{ast} omega)) almost surely, where (alpha_{n}in 0,1)) and (sum_{n=1}^{infty}alpha_{n}=infty).
Genes with significant P-values (P<0.001) were defined by the random permutation test.
For me, public figures are always defined by the ridiculously random objects they inevitably end up associated with.
These functions are defined by the successive random addition algorithm using the midpoint displacement (SRMD) technique [17].
For hit to lead projects, the level of staffing is adjusted based on probability of success defined by the original random number assigned at the time it transitioned from exploratory.
These observations lead to the conclusion that realistic millimeter-wave channel models can consist of deterministic components, defined by the scenario and random components, representing unpredictable factors or objects that are random or insignificant.
Every such cone may equivalently be defined by the class of random variables with a nonnegative expectation under a convex collection of test probability measures.
