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The phrase "approaches is equal" is not correct in written English.
It seems to be a fragment and lacks clarity, making it difficult to determine its intended meaning.
Example: "In this context, we can say that the limit of the function as it approaches is equal to the value at that point."
Alternatives: "approaches are equivalent" or "approaches are the same."
Exact(2)
Then, we can conclude that the performance loss of both approaches is equal if ε=β.
Although the theoretical complexity of the new approaches is equal to the original approach, the experimental results, presented in Table 1, revealed that searching for reversals that do not break common intervals is a constraint that usually reduces the number of traces and solutions, and consequently, the execution time.
Similar(58)
The relationship between the proposed approach and the approach based on the mass participation factors, introduced by Zhang and Aktan (1998) for the case of uniform load (UL) deflections, is discussed since the two approaches are equal only if a special load, which is a mass proportional load (MPL), is considered.
Reliabilities calculated by the marker-based model and the equivalent model approaches were equal within the numerical rounding error.
For example, for scene party_act2, the minimum QP that can be used to allocate the CID using the maximum fairness approach is equal to 36.
As a result, our estimate of net C change using the stock-difference approach is equal to the net change in C stocks in the aboveground and belowground live biomass pools only, with a fraction of the aboveground live biomass assumed to be transferred to the wood products pool, where a portion is permanently sequestered in long-lived products and the remainder emitted to the atmosphere (see below).
Notably, the number of TLR genes predicted in several mammalian species using our approach is equal to those reported earlier (Leulier and Lemaitre, 2008).
This approach is equal to the number of genes with a non-zero score in the Bootstrap Based Feature Ranking (BBFR) (described in the next section).
Evaluation of risk-based surveillance systems shall prove that the efficacy of the risk-based approach is equal or higher than that of traditional surveillance; however, the efficiency (cost-benefit) shall be higher in risk-based systems.
We then compared this slope to the mean transcript degradation rate across all genes, which, as a result of our quantile normalization approach, is equal to 0 (thus, a value of 0 indicates no change in the relative rank of that transcript's expression level across time points).
But Bay's approach is equal-opportunity ridicule: he shows people of both genders and many ethnicities and diverse classes and walks of life to be equally prone to venal self-interest and voracious, delusional idiocy, which emerges in sharply comic details.
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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