When the constants or variables contained in a given function, having been considered real are later supposed to be imaginary, the notation that was used to express the function cannot be retained in the calculation except by virtue of new conventions able to determine the sense of this notation under the new hypotheses. Thus, for example, by virtue of the conventions established in the preceding Chapter, the values of the notations.
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Bradley, R.E., Sandifer, C.E. (2009). On imaginary functions and variables.. 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_8
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DOI: https://doi.org/10.1007/978-1-4419-0549-9_8
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