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A 2012 paper by Tiago Soares dos Reis and Walter Gomide from the Instituto Federal do Rio de Janeiro proposes a formal construction of the transreal numbers. This mathematical extension of the real numbers is defined as a class of subsets of ordered pairs of real numbers, establishing closure under addition, subtraction, multiplication, and division, including division by zero.
The resource is a scholarly paper describing a mathematical construction; it is not a dataset of numerical values or observations. The license is Open Access (green).