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Examples

While their early contributions on business cycles and monetary phenomena in the 1930s comprised quite abstract (though nonmathematical) economictheory structures, their works from the early 1940s instead deal with the interrelations between economic, social and political processes.
The Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel 19692006

What we've done is provide a mathematical method in a nonmathematical world.
Being DuckworthLewis: cricket's weatherbreak mathematicians

For another, many contexts provide nonmathematical assurance of disparity.
The Volokh Conspiracy » How President Obama is bringing real education reform to Colorado

A few years later (1939) he published an extensive nonmathematical treatment in The Nature of the Chemical Bond, a book which is one of the most read and influential in the entire history of chemistry.
The Nobel Prize in Chemistry: The Development of Modern Chemistry

That nonmathematical statement would, I suspect, be readily understood by anyone who buys anything in any market place.
Math and Economics, Arnold Kling  EconLog  Library of Economics and Liberty

Such misuse of Bayesian statistics happens all the time in nonmathematical real life and, yes, in courtrooms without people realizing it.

It unlikely that anyone whose understanding of the theory is exclusively nonmathematical will make a contribution to the development of the theory, for example.
Math and Economics, Arnold Kling  EconLog  Library of Economics and Liberty

When Newton was prompted to explain the nature of gravity in nonmathematical terms, he replied that gravity might be transmitted by an invisible aether.

To my nonmathematical brain, the numbers alone make wondering why Steven Hawking still uses a voice modulator from a Speak'N'Spell.

For another, many contexts provide nonmathematical assurance of disparity.
The Volokh Conspiracy » How President Obama is bringing real education reform to Colorado
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