Nonstandard 'first', or other ordinal derivatives of 'one', such as hundred-and-oneth or minus-oneth
Soon after the first law of thermodynamics was postulated in the mid nineteenth century, it was realized how the law presupposed a more elementary law, which we now call the zeroth law ... But scientists soon realized how even the zeroth law was too advanced, since it presupposed a yet more elementary law, which explains why the minus-oneth law had to be formulated. —Paul M. S. Monk, 2008. "Laws and the minus-oneth law of thermodynamics", in Physical chemistry: understanding our chemical world, p. 8.
(see table 9.1 with row numbers four, ten, and sixteen terminating respectively at the eleventh, twenty-ninth and forty-oneth place) —A. R. Rajwade, 2001. Convex polyhedra with regularity conditions and Hilbert's third problem, p. 72.
2
Nonstandard Used at the end of algebraic expressions indicating ordinal position that end in 1, such as (k+1)ᵗʰ
About once a year, and generally after the six o'clock news (query for B.B.C. experts — is the six o'clock public more gullible?) a Very Big Noise has reported that, after the n — nth or n — plus — oneth year of the war, the health of the nation is yet again better than ever.1945, Feed & Farm Supplies - Volume 31, page 240:
The attempts, to a mathematician at any rate, are less comprehensible than the n plus oneth dimension, where n is any integer you please.1945, Eric Temple Bell, Numerology: The Magic of Numbers, page 99:
1 more example
If the billionth dog in the line is a Saint Bernard, then the last (billion-plus-oneth) dog in the line is a Saint Bernard.2008, Steven D. Hales, What Philosophy Can Tell You about Your Dog, →ISBN, page 187:
oneth
noun
Etymology From one + -th (ordinal suffix).
1
Nonstandard (in compounds with twenty-, thirty-, forty-, etc.) A fractional part of an integer ending in one
about twenty thirty-oneths in value of such sales being made as hereinafter mentioned to a syndicate of persons in the United Kingdom, about seven thirty-oneths to residents in the United States, and about four thirty-oneths to residents in other European countries and the colonies. —"Brooke & Co. (Limited) v. Commissioners of Inland Revenue". In The Weekly Reporter, vol. XLIV, p. 671, August 15, 1896. Supreme Court of Judicature, House of Lords, London.
2
In algebraic expressions An ordinal value that is represented by an expression ending in 1 such as the (n + 1)th.
And then it was found that Dr. Whewell, or, as others asserted, one Dr. Donaldson, of Cambridge, had already responded to a similar challenge with an anticipatory variation of the idea : Youths who would senior wranglers be Must drink the juice distilled from tea, Must burn the midnight oil from month to month, Raising binomials to the n + 1th (n plus oneth).1892, William S. Walsh, Handy-Book of Literary Curiosities, page 970: