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The Ward's method uses an analysis of variance approach to evaluate the distances between clusters in an attempt to minimize the sum of squares (SS) of any two clusters that can be formed at each step.
The ward's method makes use of an analysis of variance approach for evaluating the distances between clusters, in order to minimize the sum of squares (SS) of any two clusters that can be formed at each step (Willet 1987; Adams 1998; Otto 1998: Tziritis et al. 2016).
We use Ward's method [40] (uses an ANOVA approach to evaluate distances between clusters attempting to minimize at each step the sum of squares of any two (hypothetical) clusters that can be formed at each step) on our data set (normalized) to perform cluster analysis.
The Ward method attempts to minimize the sum of squares of any two (hypothetical) clusters that can be formed at each step.
To have even coverage of space, the number of grid phases, and thus grid cells in a module, must be uniformly distributed so that equally reliable posterior distributions can be formed at each point in the unit cell of the module response.
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The cytoplasm then cleaves and three cells are formed at each pole, leaving two nuclei in a large central cell.
Localization methods can be divided according to the way the spatial likelihood is formed at each time step.
Then limit-state functions are formed at each of the critical frequencies by subtracting the respective dynamic performance measure from the critical amplitude.
In the case of elliptic PDEs, one algebraic equation is formed at each interior node, and the obtained final system, of which each row has 5 non-zero entries, is solved iteratively using a Picard scheme.
The rim radius Rcr of a crater formed by an asteroid with radius r can be estimated from Eq. (A.3) as: (11) Using the crater rim diameter Dcr = 2Rcr, we can rewrite Eq. (11) as (12) Substituting Eq. (12) into Eq. (10), (13) From Eq. (13), we estimate that a crater with Dcr = 100 m is formed at each ∼70 yr, which is lower than the previous estimate (Yamamoto et al., 2008).
Clearly, the actual time evolution of N w/N BH for hydration of H-ZSM-5 observed from our in situ solid-state 1H NMR data (Fig. 4a) is different from the behavior predicted for this model, but instead is fully consistent with the model (Fig. 5a) in which the formation of clusters of a specific preferred size (ca. 5 6 water molecules) is formed at each hydrated Brønsted acid site (see Fig. 5c).
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