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The phrase "a tiny margin of" is correct and usable in written English.
It can be used to describe a very small difference or amount in various contexts, such as statistics, competition, or measurements.
Example: "The race was incredibly close, with the winner finishing with a tiny margin of just a second ahead of the runner-up."
Alternatives: "a narrow margin of" or "a slight margin of".
Exact(6)
They survived financially in a tiny margin of a still affluent society that doesn't exist today.
I strongly suspect that enough people voted for him to wipe out Clinton's minuscule pop-vote margin, maybe even replace it with a tiny margin of his own.
Mitt Romney's victory in Iowa (or not) by a tiny margin of eight votes loomed mighty large when it was pushed through the media tropes of "momentum," "running the table," and "front runner," as a visit to the Newseum's daily collection of front pages shows.
The reasons may be simple they do not know that creationists did not become extinct, that Maciej Giertych is not a "living fossil" and that we are facing their renaissance; or they think of creationists as of bunch of crazy men who can't read and constitute only a tiny margin of society, and do not realize how well organized they are.
Former World Bank official and economy minister Pedro Pablo Kuczynski has declared himself the winner of Peru's presidential election by a tiny margin of around 40,000 votes — less people than it takes to fill the country's national soccer stadium.
It has been voting republican for 9 straight elections since 1980, except that they voted blue once in 2008 for Obama (who won only by a tiny margin of 0.4%), but then voted red again in 2012 against Obama.
Similar(53)
But City, which ousted United by a tiny margin to win the English league title this year, appears to be redefining the dimensions of soccer on a global scale.
In fact, the 2011 Pew Research Center poll Bennett cites demonstrates that in many respects conservatives are right to be worried: Not only does a plurality (49-43) of young people hold a favorable view of socialism — and, by a tiny margin 47-466), a negative view of capitalism — so do liberal Democrats, who view socialism positively by a solid 59-33; AfricanicAmericansans, 55-36.
In the end, the bill passed by a tiny margin, and a large photograph of an exuberant Villaraigosa appeared on the front page of the Times.
They have claimed there was a conspiracy to rig the election, and they have argued that because Mr. Kenyatta skirted a runoff by such a tiny margin, some 8,000 votes out of more than 12 million, the errors that have been discovered are enough to mandate a new election.
In particular, the KMT insinuates that the shooting of President Chen Shui-bian on the day before the ballot may have been rigged to gain sympathy for the incumbent, who won by a tiny margin.Suddenly, after more than a decade of remarkably smooth transformation from one-party authoritarianism to multi-party democracy, Taiwan has hit a bumpy patch.
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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