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The phrase "at the initial state" is correct and usable in written English
It is used to describe the starting point of a process or event. For example, "At the initial state of the project, we identified several potential obstacles that we would need to address."
Exact(57)
At the initial state, the priority for the two href elements is minimum since their initiating requests (about.php and contactus.php) do not match the next expected requests, <Rb1,Rb2,...>.
At the initial state, the curves almost overlay.
At the initial state (i.e., before adhesion), these interactions are tacit.
There exists a uniform plasma flow in the simulation box at the initial state.
At the initial state, an agent stays on a chosen vertex (seed vertex).
In addition, it is clear that on boundary and at the initial state.
The location of each MS is randomly distributed in each cell at the initial state.
A rigid plate was set in front of the tunnel face to maintain stability at the initial state.
Similar(3)
This "free-carrier absorption" depends on the number of carriers present at the initial states and the coupling coefficient between the two energy bands.
We have determined by X-ray, electron diffraction techniques and Raman spectroscopy analyses that these transformations partially occurred even at the initial states-of-charge, at potentials of 4.3 4.5 V, and in fully charged (4.7 V) and discharged (2.0 V) states as well.
These network properties could not be fixed as parameter values in the simulations because they were randomly varied at the initial states and were changed by evolution during the simulation runs.
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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