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Meanings of hard numbers in English

We have no meanings for "hard numbers" in our records yet.
Usage of hard numbers in English
1
We've got fairly hard numbers on the military POWs they've sent here.
Echoes Of Honor
2
The following graphics tell the whole story by the hard numbers.
BBC
3
They held a first round of talks but no hard numbers were discussed.
Reuters
4
But the program managers are demanding hard numbers to back up the intuition.
Wired
5
Even without hard numbers, GIC is seen as the model.
Reuters
6
But do you have any sense for hard numbers yet?
Cauldron of Ghosts
7
When you look at the cold hard numbers, the government's task is nearly hopeless.
The Guardian
8
Include hard numbers and any white papers that are included with the proposed product.
Backup & recovery
9
Now the first hard numbers are on the way.
The Irish Times
10
The lack of hard numbers is particularly worrying.
The Guardian
11
Gilmore backed up his concerns with hard numbers.
Wired
12
The hard numbers tell a clear story.
The Guardian
13
The effects of going into a bike share are predictably beneficial, but here are some hard numbers.
Wired
14
Not without hard numbers to support them.
The Guardian
15
Previously, it published only a fan chart showing likely outcomes, with the hard numbers given a week later.
Reuters
16
Actual votes are fixed, hard numbers.
The Guardian
This collocation consists of:
Hard numbers through the time
Hard numbers across language varieties
United States of America
Common
United Kingdom
Less common