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According to Wahrhaftig's hypothesis, bare granite weathers slower than soil-mantled granite; thus random erosional exposure of bare rock leads to an alternating sequence of steep, slowly weathering bedrock "steps" and gently sloped, but rapidly weathering, soil-mantled "treads".
Thus, random variates from this generalized distribution can easily be simulated.
They are thus random draws from the estimated posterior proficiency distribution for each student.
Original samples in the other source databases were longer than 10 seconds, thus random 10-second excerpts were used.
Frequently, these conditional distributions have a known form and, thus, random numbers can be easily simulated using standard functions in statistics and computing software.
The mutations in the His operon strains prevents histidine biosynthesis, thus random mutations or mutations due to an external agent must occur for colony growth on histidine-deficient medium.
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The selection is thus not random enough to be charmingly eccentric but too random to have any sort of coherence.
Thus, the random number of occurrences is expressed as a sum of a (random Poisson) number of independent random variables with the same unknown distribution.
Thus, a random walk among states on the diagram can be integrated into random transitions among cycle kinetics.
Thus, a random parameter panel data model is a better model choice over the traditionally used fixed-effects or random-effects panel data models.
Thus, the random vibration analysis of systems with uncertain parameters is a crucial component of structural design and optimization procedures.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com