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In this paper, we establish inequality relations of some degree-based indices such as Randić, GA, ABC, and harmonic indices with various distance-based indices such as eccentric connectivity, connective eccentric, augmented eccentric connectivity, Wiener, and third ABC indices.
In the following corollary, we establish inequalities between the GA index and certain distance-based indices such as eccentric connectivity, connective eccentric, augmented eccentric connectivity, and Wiener indices.
ANOVA-based indices such as the Sobol' indices are well-known in this context.
Relative emergy-based indices such as renewability (R%), emergy yield ratio (EYR), environmental load ratio (ELR) and environmental sustainability index (ESI) are calculated to evaluate the environmental load and local sustainability of the concerned biogas project.
Several emergy-based indices, such as unit emergy value (UEV), nonrenewable resource efficiency (NRE), recycle yield ratio (RYR), emergy yield ratio (EYR), emergy loading ratio (ELR) and emergy sustainability index (ESI) are calculated, in which the EYR and ESI are modified to reflect the influence of applying recycled biomass on the sustainability of recycling agricultural systems.
The second category is referred as angle-based indices, such as pressure angle and transmission angle.
In the following theorem, we derive inequalities between the ABC index and certain distance-based indices such as eccentric connectivity, connective eccentric, augmented eccentric connectivity, and Wiener indices.
In this paper we provide a relative study of these classes and derive inequalities between degree-based indices such as Randić connectivity, GA, ABC, and harmonic indices and distance-based indices such as eccentric connectivity, connective eccentric, augmented eccentric connectivity, Wiener, and third ABC indices.
In the following theorem, we derive inequalities between the Randić connectivity index and certain distance-based indices such as eccentric connectivity, connective eccentric, augmented eccentric connectivity, and Wiener indices.
In the following theorem, we derive the inequalities between the harmonic index and certain distance-based indices such as eccentric connectivity, connective eccentric, augmented eccentric connectivity, and Wiener indices for any non-self-centered graph.
When dealing with single sequences, the state functions are simply products of Kronecker's deltas: while in the case of sequence profiles, the state features are real-valued and assume the profile scores: To evaluate the accuracy we define the classical label-based indices, such as: where p and N are the total number of correct predictions and total number of examples, respectively.
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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