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The phrase "a deficit of a" is correct and usable in written English.
It can be used when discussing a lack or shortfall of something, typically in a formal or academic context.
Example: "The study revealed a deficit of a significant amount of funding needed for the project."
Alternatives: "a lack of" or "a shortfall of".
Exact(4)
On one line in his 2005 return, Trump reported "other income" of a deficit of a hundred and three million dollars.
James Guy won his second gold medal and third medal overall at the world championships as he clawed back a deficit of a body length to anchor the British men's 4x200m freestyle relay team to victory in Russia.
But who has ever heard of a major arts institution with a $15-million 15-millione of the country's top 10 opera companies, simply throwing in the towel over a deficit of a couple million dollars and not fighting to the end budgete there is noneignity in that?
Mapping the same dataset onto five bio-elements (C, H, N, O and S) reduces the specificity but provides clear insight into metabolic assimilation of nutrients, and can give important clues in the case of a deficit of a valuable element.
Similar(56)
So when Mr Costello delivered his seventh, and perhaps one of his last, budgets to Parliament in Canberra on May 14th, it came as something of a shock when the projected outcome for fiscal 2001-02 was a deficit of A$3 billion ($1.65 billion).When Mr Costello made that pledge last November, Australia was in the throes of one of the most highly charged general election campaigns in years.
The report stated that the Arab world is suffering from three huge deficits — a deficit of education, a deficit of freedom and a deficit of women's empowerment.
We ended June 2016 with a deficit of $150 million; we ended June 2017 with a deficit of $77 million.
For a while a deficit of 10% seemed possible.
When that fiscal year ended two weeks ago, the budget showed a deficit of $415 billion, a swing of $812 billion.
But I thought we also had a deficit to pay down: Not a deficit of money, but a deficit of trust.
There is a deficit of hope and a surplus of hurdles — familial, cultural, behavioral and structural.
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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