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so that the internal value P can take on any value, while the external int value P can take on values only between the lower limit a and the ext upper limit b.
The index \ k\) in equations (1) and (2) is said to be free and in the current context takes on any value from 1 to \(n\).
Since x ij may take on any value in the range [0,255], we consider the worst case in which x ij = 0,255.
This addresses a fundamental disconnect: the counts are integers, whereas the beta binomial probabilities to which we are fitting them can take on any value between 0 and 1. Hence uncorrected counts from finite samples can lead to poor estimates for the actual distribution parameters, especially when the expected number of errors (ϵ k)*N) for a particular value of k is low.
Everything else being equal, a model where the parameters can take on any value will always fit at least as well as a model where some of the parameters are fixed to some value or where some of the parameters are set to constraints.
Each preference locus (ai) can take on any value on the continuous scale from 0 to 1.
Similar(40)
But they do not permit the kinetic energy of a body to take on any values throughout a process.
The probability density distributions (PDF), were used to specify the probability of the random variable falling within a particular range of values, as opposed to taking on any one value.
There is still some question if the secrets Guillaume passed on were of any value to East Germany.
They don't feel of any value on the inside, so they force their "value" on others in an effort to convince themselves.
As always in the quantum world, spin cannot take on just any value, but comes in multiples of 1/2 (in specific units).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com