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Exact(17)
where, and is an identical operator.
Let I be the identical operator.
In addition, (I_{0+}^{0}) is the identical operator.
Let X be a Banach space with the norm ∥ ⋅ ∥ and the identical operator I.
(3) Let (H((u,v),lambda)=pmlambda I u,v)+ 1-lambda JQN u,v)), where I is the identical operator.
Putting A = B = I (identical operator), H 1 = H 2 = H 3 = H and C = Q = K, then we have the following result.
Similar(43)
Each type of object is also associated with an identity operator that is used to compare entities and determine whether they are identical (for example, for sequences the string match operator is used, for sets we use the set-identity operator and for arbitrary subgraphs graph isomorphism is used).
When he explained the flats were virtually identical, the operator blamed the price hike on their new postcode.
Due to larger variation in the estimate, the correlation coefficient for non-identical smoothing operators is lower (r=0.47) than for identical smoothing operators.
The first simulated dataset (a = 0.5) compares three different estimators of T-F interdependence: method 1 using identical smoothing operators (top row) and methods 2 and 3 using non-identical smoothing operators (bottom two rows).
Using non-identical smoothing operators (method 3) resulted in an increased range and reduced bias compared to identical smoothing operators (method 1), as reflected by a reduction in false positives (Figure 3H) and a regression line with a smaller off-set and increased slope (Figure 4C).
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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