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Exact(17)
Thus, structural characterization is still indeed important since it determines the function of XG in plants and functionality for commercial use in food systems.
Otherwise the structure of the system determines the function field where a closed-form solution may exist.
Then the specification of the spectrum ({lambda_{k}}_{kge 1}) uniquely determines the function (M x)) a.e. on ((0,b-a)).
Then the specification of the spectrum ({lambda_{k} }_{kge 1}) along with the number γ in representation (16) (see below) uniquely determines the function (M x)) a.e. on ((0,b-a)).
Since (sigma _n(h,f)) is defined entirely in terms of the sequence ({hat{f} k)}_{kin mathbb{Z }}), it follows that the sequence of Fourier coefficients of an integrable function determines the function uniquely.
If (g(x)=0) a.e. on ((0,a)) and (v(x)=0) a.e. on ((b,pi)), and additionally the following conditions are satisfied: lim_{xto a+0}g(x)=d_{a}, qquad lim _{xto b-0}v(x)=d_{b}, (4) where (d_{a}d_{b}ne 0), then the specification of the spectrum ({lambda_{k}}_{kge 1}) uniquely determines the function (M x)) a.e. on ((0,b-a)), provided that the functions (g(x)) and (v(x)) are known a priori.
Similar(42)
The transcriptome, the contents of mRNA, determines the functions of a cell.
The goal of functional genomics is to determine the function of these proteins.
Hundreds of scientists are carrying out a coordinated set of experiments to determine the function of every piece of DNA in the human genome.
Determining the function of individual genes can be done in several ways.
Besides helping to determine the function of a protein, knowing its shape could also make it easier to design drugs that bind to the protein, turning it on or off.
More suggestions(15)
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determines the performance
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determines the relation
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determines the capability
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identify the function
determines the functional
define the function
establishing the function
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