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Experience with 236 gastric transposition operations reveals a mortality of 2.5%, leak rate of 12%, and stricture of 20%.
Using just such a constraint, Kothari and Moret (2007) found that the DCJ edit distance closely reflected both inversion and transposition operations.
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denotes the trace of a matrix, denotes the identity matrix of order, denotes the logarithm of base 2, represents the expectation operator, and the superscript denotes hermitian transposition operation.
where ⊤ denotes the transposition operation.
The superscript 'T' denotes the transposition operation.
Where T is the transposition operation on a matrix.
I denotes the unit matrix, ∗ denotes the complex conjugate operation, T denotes the matrix transposition operation, and H denotes the complex conjugate transposition operation.
where G is the processing gain and T denotes the transposition operation.
Nonetheless, such gains are usually modest in most practical cases, owing to the usage of quite large and complex memory-based circuits to realize the transposition operation.
where Φ ˜ ϕ, θ i represents the phase difference vector corresponds to direction of (ϕ, θ i ), and T means the transposition operation.
Real-time implementation of the transposition operation is particularly interesting in signal and image processing applications as they are dominated by matrix-based techniques.
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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