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A configuration that satisfy the user requirements, and that additionally satisfy some optimality criteria is required.
An optimum timetable will additionally satisfy soft constraints, which are not absolutely essential.
Let the initial value (x_{0} in mathbb{R}^{n}) additionally satisfy (|x_{0}|>delta_{4}).
Such functions will be called solutions of (2.1) if they additionally satisfy the smoothness requirement ; see next definition.
For each reference family in the library R, RE ANNOTATE searches for candidate repetitive element models that satisfy (i) and (ii), but only constructs models that additionally satisfy: (iii) Uniqueness.
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Frequent-pattern discovery in data streams is more challenging than that in traditional databases since several requirements need to be additionally satisfied.
If κ ( s ) additionally satisfies s κ ′ ( s ) < 1, then e − κ ( s ) is a special function of f ( s ), which satisfies (6).
We recall that a measure of noncompactness is regular [17] if it additionally satisfies the following conditions: 7∘ : (mu(X cup Y ) = max{mu(X),mu(Y )}).
Note that is called a group norm if is a group with an identity, and it additionally satisfies that if and only if.
As a consequence of our result and of a theorem of Elliott and Gong, any such C∗-algebra, if it additionally satisfies the Universal Coefficients Theorem, is approximately homogeneous of topological dimension at most 3. Our result in particular confirms the Elliott conjecture for the class of simple unital Z-stable ASH algebras with real rank zero.
In the context of protein engineering, we consider the problem of computing an mRNA sequence of maximal codon-wise similarity to a given mRNA (and consequently, to a given protein) that additionally satisfies some secondary structure constraints, the so-called mRNA Structure Optimization (MRSO) problem.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com