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Many physical quantities whose classical counterparts vary continuously over a range of possible values are in quantum theory constrained to have discontinuous, or discrete, values.
Dr Ramanathan puts the figure for black carbon at something like 0.9 watts per square metre, on the basis of observations, with a range of possible values that goes from 0.4 watts per square metre to 1.2.
These results provide the averages to assess a range of possible values each pile can have.
In reality all input variables are stochastic, existing within a range of possible values.
It is also shown that optimised values can be obtained from within a range of possible values.
The optimum configuration of each operator is also explored by varying mutation parameters over a range of possible values.
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26 We evaluated a linear threshold model repeatedly for a wide range of possible values of a threshold dose (d0), modelling the risk function ERR on doses d as β(d−d0) for d>d0 or d=0 for d≤d0.
"Although there are indications the number of unauthorized immigrants may be rising, the 2012 population estimate is the midpoint of a wide range of possible values and in a statistical sense is no different from the 2009 estimate," the report reads.
This is most commonly illustrated by appeal to the Heisenberg Uncertainty Principle (in one of its forms): if the position of a particle is specified precisely, then its momentum must be unknown (i.e., described by a state such that the probabilities of the particle having a certain momentum are spread out over a wide range of possible values), and vice-versa.
Since obtaining meaningful analytical results requires unrealistically restrictive assumptions, we designed a numerical experiment and conducted over 5000 simulations using a wide range of possible values of firms' conduct parameters, extent of product differentiation, and market share split between full service airline (FSA) and low cost carrier (LCC).
We show that it is possible to stabilize the chaotic dynamics towards a globally stable positive equilibrium, that can be chosen among a broad range of possible values.
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