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Algorithm 1 guarantees to converge.
Finally, Theorem 1 guarantees that (E) has property (A).
Since 0 < a ( x ) ↓, (1) guarantees that b n ↑ ∞.
Theorem 1 guarantees that problem (11) has a nonempty set of solutions between α and β.
Firstly, Assumption 1 guarantees the nonnegativity of the value function of a recruiter; see (8).
The following Theorem 1 guarantees the theoretical approximation ratio of Algorithm 2.
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The package includes a £40bn guarantee for major infrastructure projects and £10bn guarantees for new homes.
Common Article 3 guarantees humane treatment to combatants seized during wartime.
Article 8 guarantees respect for a person's private and family life.
Note that condition C.1 guarantees that each source transmits its signal at least once.
The fact that (deg (T_M,0,varDelta _n)=1) guarantees that there exists a zero (y_Min varDelta _n) of (T_M).
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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