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In addition to the known set of conversion modes, (the sum-conversion modes), in which, for a double traverse of the plate, a phase sum condition is satisfied, there is a set, (denoted as the difference-conversion modes), in which a phase difference condition is fulfilled.
Sufficiency will be obtained through a second condition, which we refer to as the sum condition.
P roof The forward direction follows from Lemma 3 and the sum condition [ Equation (2) ].
This in turn happens when F satisfies the sum condition [ Equation (2)].
However, errors in the observed VAFs may also result in violations of the sum condition.
Second, AncesTree only outputs the single largest rooted subtree of the approximate ancestry graph that satisfies the sum condition.
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As their time has been described as a finite and zero-sum condition [ 13], it inevitably influences their engagement with nutrition interventions and programs.
For many purposes, the condition (mathbf{y}=mathbf{xA}) is more convenient than the partial sums conditions defining majorization.
To sum up, condition (H) of Theorem 3.2 is satisfied.
For the anthranilate synthase: Op 92 ︸ t r p E + (Op 98, trpG ) ︸ t r p G The conditions of transcription for Op92, Op98, and the constitutive promoter upstream from trpG, are described as a sum of conditions { σ A } A N D N O T (TRAP ) ︸ t r p E + ([ σ A ] O R [ σ A ] ) ︸ t r p G When post-transcriptional regulations occur, they are indicated and represented as a sum of conditions.
Agarwal et al. [7] studied a class of FDEs with sum boundary conditions.
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