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Discover Ludwig"hard figures" is correct and usable in written English
You can use it to describe a set of exact, precise, or concrete numerical values or statistics, usually referring to a definite or definite amount or size. For example: "These hard figures show that the economy has grown significantly in the last two quarters."
Exact(58)
Anecdotal evidence of Spaniards' suffering is backed by hard figures.
Hard figures for the UK as a whole are difficult to come by.
We would much rather see hard figures included in the state budget".
Brazil, Indonesia and South Korea have recently put hard figures on the negotiating table.
Mr. Sharpton's responses often left Mr. Bolnick still searching for hard figures and definite answers.
He said: "I wanted to present the hard figures in the letter.
Showing the benefits of animal welfare in hard figures helps get the attention of policymakers.
What seemed to excite Mehlman most was that the program yielded hard figures.
The lack of hard figures is partly due to the trade's secrecy, Meldrum adds.
Not cork-poppingly good, but better than expected.PMIs are popular in China, where hard figures are sometimes hard to trust.
A player's record should be judged for what it was, in cold hard figures, across the length of the year.
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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