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The general idea of consideringall the limits, and not merely upper and lower limits, seems to have been first utilized by W. H. Young in 1908: “Sulle due funzioni a più valori costituite dai limiti d'una funzione di variabile reale a destra ed a sinistra di ciascun punto”, Rend. Acc. Lincei (5)17, 582–87.
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Young, R.C. The algebra of many-valued quantities. Math. Ann. 104, 260–290 (1931). https://doi.org/10.1007/BF01457934
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DOI: https://doi.org/10.1007/BF01457934