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This is a crude and arbitrary procedure.
Upper bounds on the L2 error of least squares regression estimates are presented, which bound the error of the estimate in case that in the sample given to the estimate the values of the independent and the dependent variables are pertubated by some arbitrary procedure.
A less arbitrary procedure is to follow Takamura and Tone [ 16] by adapting Saaty's Analytical Hierarchy Process (AHP) [ 17].
The six different procedure rooms did not have the same equipment, so a procedure could not be scheduled in an arbitrary procedure room.
This was not an unexpected result: each gene has a different phylogenetic history (e.g., see simulations in Zhaxybayeva and Gogarten 2004), and hence rooting of organismal phylogenies based on individual molecular phylogenetic trees is a somewhat arbitrary procedure.
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Elizabeth Hildebrand Matherne, an Atlanta-area immigration attorney, reported that every time she goes to Stewart, a guard finds a new reason to put her through arbitrary procedures or refuses to allow her to meet with a client.
The statement was delivered by five UN special rapporteurs — independent experts working on behalf of the UN — who warned of "the lack of clarity and precision" of several of the emergency measures, which they feared might lead to "arbitrary procedures".
In reality, most of Argentina's deficit is simply the result of arbitrary accounting procedures and not a reflection of wastefulness.
Legacy preferences and "many other kinds of arbitrary admissions procedures" are not, he says, prohibited by the 14th Amendment to the Constitution, which prevents states from denying citizens "equal protection of the laws".
We describe a general technique for constructing unbiased estimators of π based on arbitrary RR procedures, from unbiased estimators based on an open survey with the same sampling design.
It turns out that Life can compute everything a universal Turing machine can and therefore, given Turing's Thesis, function as a general purpose computer: a suitable selection of initial conditions can ensure that the system carry out arbitrary algorithmic procedures.
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