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Free sign upThe phrase "as in the above formulation" is correct and usable in written English.
It can be used to refer back to a previously mentioned statement or formulation in a text, indicating that the current point relates to that earlier content.
Example: "The results were consistent with the hypothesis, as in the above formulation, which suggested a direct correlation between the variables."
Alternatives: "as stated in the previous formulation" or "as outlined in the earlier formulation".
Exact(1)
In the case of NMF, the common similarity measure is Frobenius norm as in the above formulation (4) and KL-divergence.
Similar(59)
Being a univariate coefficient, it measures the uncertainty reduction of the class variable C when the expression value of a miRNA (denoted as Y in the above formulation) is known.
As we can see in the above formulation, the overall cohesion score of integration is the summed weight of each node, which is the sum of pairwise closeness scores.
In the above formulation, risk is modelled as increasing according to current levels of offending via the 'boost' term with parameter Γ.
In the above formulation, Lea et al. (2008) considered surface tension of condensate as 20 dynes/cm and that of water as 60 dynes/cm.
In the above formulation, a full PFC response in one time step is assumed.
In the above formulation, the objective function of Eq. (1) minimizes the total traveling time.
In the above formulation, slave problem is optimized by considering fixed location variables for each scenario.
That is, the 'only' part argued against in the above formulation of Maddy's objection is unnecessary.
In contrast, the above formulation indeed presents exhaustive options.
In the above formulations,,, and represent independent Gaussian random variables.
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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