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The basic problem involves a finite number of urns (or bins) each containing one ball.
We propose a solution method that involves a finite number of constraints, and identify the number of samples sufficient for a good approximation.
We have assumed an area of operation with a finite number of base stations and thus neighborhoods, so that the complete scheduling process involves a finite number of steps and time slots.
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Approximate models involving only a finite number of those can be obtained by considering a decomposition of the microscopic anelastic strain field on a finite set of transformation fields.
First, we quantitatively liken three usual measures of Kac's chaos, some involving all the N variables, others involving a finite fixed number of variables.
Instead he proposes as a possible alternative an eternally populated world involving the transmigration of a finite number of souls to an infinity of bodies, and ordered only to their natural perfection.
The theoretical basis for this algorithm involves the fact that such a random field is well approximated by a superposition of random one-dimensional plane waves involving a fixed finite number of directions.
Some levels are timed while others require completion in a finite number of moves.
Wang et al. [12] study a problem with a finite number of vehicles which involves coordinating mail processing and distribution schedules at a mail processing and distribution center.
Our modelling approach involves the discretization and digitization of temporal mRNA expression profiles into a finite number of levels (states), which are defined by discretization of continuous/analogue gene expression levels (Step 1 & 2, Figure 2 and Methods).
One aspect of Turing's formulation, however, involves absolute finiteness: the table of behaviour of a Turing machine must be finite, since Turing allows only a finite number of 'configurations' of a Turing machine, and only a finite repertoire of symbols which can be marked on the tape.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com