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Discover Ludwig"by denoting" is a correct and usable part of a sentence in written English.
You can use it to introduce a phrase or clause that explains what is being symbolized or represented by something else. For example: "The violet flower symbolizes creativity and love, by denoting tranquility, emotional balance and peace."
Exact(60)
By denoting, one has (3.31).
By denoting estimation noise, the estimates in BS become.
By denoting, they finally formulated the problem to minimize the following function with respect to : (15).
By denoting as the transmission power from the th BS, results in (4).
By denoting Θ={P,Ψ r }, the three conditions are listed as follows: 1. Bounding condition: ∀Θ, h i n, k ≤ h ~ i n, k , ∀ i = 1, 2, 3. 2.
By denoting the latency of a packet during an ATIM window with L, this blocking probability can be represented as P block = P { L > T atim } + P { L ≤ T atim } ⋅ P { Occupied }. (16).
By denoting I=w r i (t n ), we arrive at P i = s Ft t n, τ ′, f d ′ · E I H I · s Ft H t n, τ ′, f d ′. (50).
By denoting the kth column of A −1 as a k, the following condition should be satisfied in order to achieve (frac {partial }{partial x} J left (mathbf {D}, mu right) = 0).
By denoting the MA polynomial ((1+theta B)), we use the same parametrization as Gómez and Maravall (1994) and TRAMO-SEATS which is the opposite of Box et al.
By denoting Θ = P, R n ′, Ψ r, the three conditions are listed as follows: 1. Bounding condition: ∀Θ, h i n, k ≤ h ~ i n, k , ∀ i = 1, 2, 3. 2.
By denoting the number of sensors in the th cluster as, the following decision thresholds will be set: (i) is the decision threshold at the th FC with size ; (ii) is the decision threshold at the AP.
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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