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Exact(7)
Let (bar{x}'_{0}) be the initial value at the starting time (s=0).
Some definitions of the consensus problem also include strong validity, which requires the value that is agreed upon to be the initial value of some correct peer [45].
Let (eta tau_{n})), (frac{partialeta (tau_{n})}{partial t}) be the initial value of problem (3.1), then we can repeat the above process and get a (C^{2}) solution (eta_{n}^{2}(t)) on ([tau_{n}, 2tau_{n}]).
end{aligned} Let (u^{0}in C^{0} overline{Omega })) be the initial value such that a bigl u^{0},v bigr)= bigl(f bigl u^{0} bigr),v bigr),quad forall vin H_{0}^{1}(Omega).
There may be a certain deviation between the true value and the parameter value extracted from the parameter domain after Radon transformation, in order to improve the accuracy of the estimated parameter, we let the estimated value to be the initial value, and search again with a small step in its nearby space, then the accurate estimated value of the parameter can be obtained.
Let ent1 be the initial value of the entropy of the first iteration.
Similar(53)
Let, be the initial values such that (3.11) holds.
For example, let 7 and 12 be the initial values of the clocks x and y.
The L0 value is the initial value of BOD.
where is the initial value and is a sequence.
The parameter mu is the initial value for q.
More suggestions(16)
be the initial rupture
be the initial thrust
be the optimized value
be the initial segment
be the initial carrier
be the singular value
be the minimum value
be the initial message
be the initial set
be the initial requirement
be the initial condition
be the initial reaction
be the initial draw
be the initial climb
be the initial spur
be the unique value
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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