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We now introduce the background and define the notations used throughout the paper.
Before describing the processes of IBS and ICT, we define the notations used in our proposed protocol in Table 3.
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Here, we define the notation as follows.
Here, we define the notation for the channel to Eve.
For any, we define the notation by the relation (2.6).
We define the notation P(H i,H j ) to distinguish between these errors.
We define, The notation is used to denote that is a symmetric positive definite (semidefinite) matrix.
We define the notation u[c]v to indicate the event that the receiver u wins in the competition with v based on the selection criterion c.
For presentation clarity, let us define the notation of the cross-power spectral density (CSD) between α(f) and β(f) as ψ αβ f = E α f β * f (20).
We define the notation Th as the hash function computation cost, Texp as the modular exponential computation cost, Tpm as the elliptic curve point multiply cost, Tpa as the elliptic curve point addition cost, Tpair as pairing computation cost, Trc as RC5 computation cost, Taes as AES computation cost, Te as the elliptic curve polynomial computation cost.
After defining the notations, we can now define formulas (pre- and post-conditions) to map on transitions in the following.
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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