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"Guardians guarantee that the value of the property is retained, but have none of the security of a tenancy.
The United States would thus not have to dip into its gold reserve, but it would have to give France and the IMF a gold guarantee — that the value of the deposited dollars would be maintained even if the United States was forced to devalue the dollar.
Race conditions mean that we cannot guarantee that the value stored in our firing time variable truly represents the minimum over all firing events.
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A problem arises because there is no guarantee that the values of the coefficients assumed during network synthesis are the same as those actually achieved in detailed equipment design (Trans. IChemE 69 (1991) 445).
The main difference here is the use of Lemma 7.2 in order to guarantee that the values of the iterations do not escape from D. The rest of the argument is pretty similar to that of [1], and we omit it.
Then, an extra constraint Im {w H c1} can be omitted because the equality constraint w H c1 − δ∥w∥ = κ guarantees that the value of w H c1 is real-valued and positive [50].
Furthermore, the inequality and the objective function (4) guarantees that the value of the variable m is the maximal consumption of electricity during one time period within the whole planning period.
Since T is relatively prime with | I | ( J − j + 1 ) u, this guarantees that the value of each variable in the union of all data tapes will be copied infinitely often to k ∗ and gives the implication (30) ⇒ (31).
Theorem 1 guarantees that the value of the Lyapunov function W, which corresponds to an objective or cost function, monotonically decreases along a solution obtained by the proposed method when an IMRT planning system is acceptable, which is mathematically defined for the existence of radiation beams satisfying the given DVCs.
We then remove the interval from heap since it is guaranteed that the value of the right end point of the interval removed from the heap is the same as the right end point of the interval reached in scanned list L. We continue removing intervals from heap until the priority value of the head element of the heap remains unchanged.
The constraint 2 indicates and guarantees that the value of y k 1 is 1 while there is any gene in k1th operon, which is mapped to at most one gene in genome G, and the value of y k 2 is 1 while there is any gene in k2th operon, which is orthologous to at most one gene in genome H.
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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