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The phrase "a comprehensive index" is correct and usable in written English.
It can be used when referring to a detailed and complete list or catalog of items, often found in books or databases.
Example: "The research paper includes a comprehensive index that allows readers to easily locate specific topics and references."
Alternatives: "an extensive index" or "a thorough index".
Exact(34)
John Kerry, America's secretary of state, released the 2014 TIP report, a comprehensive index of governmental anti-trafficking efforts.
4. Oxford English Dictionary (1884-) Our greatest dictionary (I would say that) was planned as a comprehensive index of English, containing every word and meaning ever used.
A restaurant map, interviews with food artisans like Jon Orren of Wheelhouse Pickles, and a comprehensive index of resources like markets and food trucks, round out this intelligent and attractive volume.
The political scientist Frank Baumgartner and his colleagues have taken a deeper look, by creating a comprehensive index of public opinion about the death penalty from 1976 through 2015, based on four hundred and eighty-eight national surveys on sixty-six questions.
Google's self-described aim is to "build a comprehensive index of all the books in the world," one that would enable readers to search the list of books it contains and to see full texts of those not covered by copyright.
A comprehensive index of finance Web sites, run by Ohio State University.
Similar(26)
Thus, it seems that the new economic globalization measure (the KOF index), which is a broader comprehensive index, is a better proxy for openness.
According to the PSR model, the scores from three indices (press index, state index, and response index) and a comprehensive assessment index (CAI) were calculated, and an assessment map was constructed.
The first uses Gross Domestic Product as foundation to build a complete index and includes proposals to greening Gross Domestic Product, socializing the indices and including it in a more comprehensive index.
This ratio is considered as a more comprehensive index to evaluate the contribution for energy conservation because of the consideration in life-cycle.
Furthermore, a more comprehensive index represented the contact structure of asphalt mixtures was developed to better uncover the mechanism of rutting in micromechanical perspective.
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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