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But Kim Kiper is the behind-the-scenes brains of the operation, transforming Mel Kiper Enterprises into the ultimate home business.
The generating operation transforming u to u is either an insertion or a duplication of some letter α in u.
We argue that the reducing operation transforming u i = v i x i w i to u i +1 cannot be the deletion of a letter or a contraction involving at least one letter within the substring x i.
Each edit operation transforming s a u i s b to s a u i + 1 s b in E S (s ) corresponds to an operation transforming u i to u i + 1 in E S. The only cases where corresponding operations may have different costs are those of insertions or deletions in E S at the beginning or ending of u i, which become duplications or contractions in E S (s ), respectively.
Cho et al.[ 32] produced an extension to Rosen's (M,R) system by allowing for mutation, defined simply as alterations to the system while it is in operation, transforming (M,R) from "a description in terms of mappings into a dynamical model familiar to control engineers".
If the non-reducing operation transforming u i -1 to u i is a mutation, an insertion, or a duplication of a letter within the prefix u i -1, a, then set u i, a to be the string obtained by applying this operation over u i -1, a, and set u i, b = u i -1, b.
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This operation transforms the mean and standard deviation of each variable into 1 and 0, respectively.
Overall, this operation transforms the three-dimensional stack of windows into a large two-dimensional matrix [(N − m 2 windows, each with m2 pixels].
This operation transforms the raw data from their constrained sample space, the simplex Sd(d = D - 1), into the real space Rd, in which parametric statistical methods can be applied to the transformed data.
Over the course of just a few years, WaMu's entire mortgage banking operation transformed from a boring, profitable, plain-vanilla enterprise, into a feeding trough for its risky securitization activities.
During the encoding stage DNACompress extracts the highest scoring approximate repeat and encodes all its instances using edit operations transforming between them.
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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