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The true reason remains unclear.
The French mathematician who created this term Pierre-Fran&cedilccedil;ois Verhulst first described this word "''logistique''" (Fr.) in his literature in 1845, [https://eudml.org/doc/182533 "Recherches mathématiques sur la loi d'accroissement de la population," in NOUVEAUX MÉMOIRES DE L'ACADÉMIE ROYALE DES SCIENCES ET BELLES-LETTRES DE BRUXELLES, vol. 18, p 3].
In a figure Verhulst described an usual exponential curve as "''logarithmique''", and created a new word "''logistique''" to describe a distinct curve he created by his formula which is now known as a logistic regression formula, but he didn't note through what derivation he created the word.

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