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A "cleaned" ambiguity representation is then obtained by multiplying the original ambiguity function with the corresponding mask.
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Using Definition 2, a CW k -tree can also be defined, where the root of the tree corresponds to the original unlabeled ambiguity graph (mathcal {G}).
where k is the difference between two sample points, and  ( k, F D ) is the original complex ambiguity function for the simple pulse signal  ( k, F D ) = e j 2 Π F D k / 2 τj 2 Π F D e j 2 Π F D τ − k 2 − e − j 2 Π F D τ − k 2 (33).
As shown in the figure, the usage rate of original WL ambiguities ranges from 57.9 to 100% for individual satellite, and the average usage rate of all satellites is 86.2%.
But "muddlement," in many ways, is a more original word than "ambiguity," and implies confusion and not being sure the way something can be interpreted, not just in alternative ways but in many ways.
Whereas the original QuIKS had ambiguity across the categories of each item's response scale and was not unidimensional, the QuIKS-R is unidimensional and provides interval-level scores.
The item seems to have worked in the original despite its ambiguity, but the German translation is perhaps less idiomatic, and thus it could have been the case that some of our participants took the item to be a general statement rather than a statement referring to their pain.
When such two dimensional coordinates and this additional information is converted into 3D coordinates (a process carried out during the original deposition [7]), ambiguities can result.
The Donmar's rewrite man, Dennis Kelly, has turned the play on its head, substituting a scene of superficial drama for the original's dream-like ambiguity.
However, our original design for Ambiscript ambiguity characters did not permit us to represent the frequency of each of these different nucleotide bases in any single location, as would be highly useful for a number of DNA analyses.
The main researcher reviewed the transcript and original recordings and discussed ambiguities with the research assistants.
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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