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One of the simplest and most natural examples is the multiset of prime factors of a natural number n. Here the underlying set of elements is the set of prime factors of n . For example, the number 120 has the prime factorization 120 = 2 3 3 1 5 1 , {\displaystyle 120=2^{3}3^{1}5^{1},} which gives the multiset {2, 2, 2, 3, 5} .
Empirical Bayes methods can be seen as an approximation to a fully Bayesian treatment of a hierarchical Bayes model.. In, for example, a two-stage hierarchical Bayes model, observed data = {,, …,} are assumed to be generated from an unobserved set of parameters = {,, …,} according to a probability distribution ().
The number of binary strings of length n without an odd number of consecutive 1 s is the Fibonacci number F n+1. For example, out of the 16 binary strings of length 4, there are F 5 = 5 without an odd number of consecutive 1 s—they are 0000, 0011, 0110, 1100, 1111.
The quantity Q could be mass or energy as well as volume. The allocation calculations are carried out per phase, for example oil, gas and water respectively. Example with calculations to illustrate the principle of proportional allocation. Assume that the flows of separated oil from two production units go to a common storage tank.
To represent the number 1,230,400 in normalized scientific notation, the decimal separator would be moved 6 digits to the left and × 10 6 appended, resulting in 1.2304 × 10 6. The number −0.004 0321 would have its decimal separator shifted 3 digits to the right instead of the left and yield −4.0321 × 10 −3 as a result.
Water is an inorganic compound with the chemical formula H 2 O.It is a transparent, tasteless, odorless, [c] and nearly colorless chemical substance.It is the main constituent of Earth's hydrosphere and the fluids of all known living organisms (in which it acts as a solvent [20]).
R. Rox Anderson developed a tattoo ink to simplify tattoo removal, designed to be easier to remove by laser treatments than traditional inks, called "InfinitInk". [ 69 ] [ 70 ] The ink is encapsulated in tiny plastic beads; the encapsulated ink is stable in normal light, but under the kind of laser light used in laser tattoo removal, the ink is ...