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The phrase "assigned to the frame" is correct and usable in written English.
It can be used in contexts related to programming, design, or any situation where elements are allocated or designated to a specific frame or structure.
Example: "The images were assigned to the frame to ensure they displayed correctly in the layout."
Alternatives: "allocated to the frame" or "designated to the frame".
Exact(5)
Step III: Coding Mode Assignment— Once the RMSV has been evaluated, the SP coding mode is assigned to the frame with the minimum RMSV of the innovation process.
In [22], long-term signal probabilities are used as the discrimination criteria and the decision is assigned to the frame in the middle of a long window.
To elaborate, let us denote by c i the coding mode assigned to the frame i = 0,…,N−1, and by c = [c0,…,cN−1] the coding mode N-tuple corresponding to the entire subsequence.
In fact, the constraint on the initial quality u i 0 is satisfied with minimal initial budget ∑ i = 0 N − 1 r i 0 when the less efficient SP coding mode is assigned to the frame with the minimum amount of innovation.
For every group of N frames, the switching coding mode c i = SP (SP frame) is assigned to the frame with minimum RMSV of the innovation process; the remaining frames in the subsequence are coded as c i = P (P frame).
Similar(55)
Hence, to avoid initial quality fluctuations, a larger initial bit budget r i 0 is assigned to the SP frame.
It should be noted that the number of bits assigned to the I frame in a GOP is very important.
A hexagon with the color value of i is assigned to the ith frame, denoted by (mathcal {F}_{i}), where 1≤i≤3k 2; recall that 3k 2 is the number of colors used by Algorithm 1.
Dual time point data were generated from the data 20 to 30 min and 50 to 60 min p.i., yielding two pairs of c a and c t values which were assigned to the respective frame centers t - / + = 25 / 55 min (which corresponds to t 0 = 0.5 · (t- + t+) = 40 min and Δ t = t+ - t- = 30 min).
b For instance, if one and only one out of the N frames in each subsequence is allowed to be an SP frame and the other frames are set as P frames, then it results that M = N and all the N-tuples c will exhibit the form c = [PP⋯SP⋯P], thus differing one from the other only in the location assigned to the SP frame.
Three different values of Bth were assigned to each frame type where the smallest Bth was assigned to the I frames ( B th (I) ) and the largest was assigned to the B frames ( B th (B) ).
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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