Your English writing platform
Discover LudwigSuggestions(1)
Exact(2)
In this paper, we study the harmonic index of Cartesian, lexicographic, tensor, strong, corona and edge corona product of two graphs (G_1) and (G_2) and present some bounds in terms of the harmonic index and inverse degree of (G_1) and (G_2).
The inverse degree and harmonic index of a graph G are two important vertex-degree-based indices related to G, were denoted by r(G) and H(G), respectively, and defined as follows: r(G)= sum _{uin V(G)} frac{1}{hbox{deg} _G u }, qquad H(G =sum _{uvin E(G)} frac{2}{hbox{deg} _G u) +hbox{deg} _G v)}.
Similar(10)
Zone IV (C5 + C6 + C7) was associated mainly to "elevated salinity" coupled to "low or inverse hydroclimate degree".
Where studies considered opposite degrees of expression, the inverse HR and CI was calculated to give results for high expression.
Branching pattern (primarily 'internode' length or its inverse scale of degree of 'multinodality'multinodality
Model results successfully followed all important trends, such as product inhibition, low cellobiohydrolase activity on high DP substrates, low endoglucanases activity on crystalline substrate, inverse relationship between degree of synergism and substrate DP, observed experimentally and reported in literature studies.
The dashed lines, representing the values obtained in the shuffled networks (null model), approximately trace the inverse of the degree distribution by age (shown in Figure 12); this is in line with previous literature, that reported a negative correlation between degree and local clustering coefficient [78].
The inverse relationship between degree of renal functional improvement and risk for AKI was statistically significant (p = 0.008).
Among other histological parameters, we noted an inverse correlation between degree of mitosis at invasive front and rate of recurrence and event of death.
Among all histological parameters, we noted inverse correlation between degree of mitosis at invasive front and decrease in lymphoplasmacytic infiltrate at ITF with increase rate of recurrence and event of death.
Thus, type III galactosemia ostensibly results from loss of GALE expression or from kinetic impairment and/or instability/aggregation of the protein in key tissues, with an apparent inverse relationship between degree of residual activity and severity of outcome.
Write better and faster with AI suggestions while staying true to your unique style.
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