[98] When, instead of integer functions we imagine any functions, so that we leave the form entirely arbitrary, we can no longer successfully determine them given a certain number of particular values, however large that number might be, but we can sometimes do so in the case where we assume certain general properties of these functions.
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Bradley, R.E., Sandifer, C.E. (2009). Determination of continuous functions of a single variable that satisfy certain conditions.. In: Cauchy’s Cours d’analyse. Sources and Studies in the History of Mathematics and Physical Sciences. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-0549-9_5
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