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Titlebook: Cauchy‘s Calcul Infinitésimal; An Annotated English Dennis M. Cates Book 2019 Springer Nature Switzerland AG 2019 Cauchy.Calculus.Infinites

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樓主: Remodeling
41#
發(fā)表于 2025-3-28 14:53:03 | 只看該作者
42#
發(fā)表于 2025-3-28 19:06:23 | 只看該作者
Professor in Aachen (1905–1910) variables which render one of the functions . discontinuous, the function . can only become a maximum or a minimum in the case where one of the total differentials . . . . namely, the first of these that will not be constantly null, will maintain the same sign for all possible values of the arbitra
43#
發(fā)表于 2025-3-28 23:04:03 | 只看該作者
Bindegewebe, Knochen und Gelenke,We call a . quantity that which we consider as having to successively receive several different values, one from the other.
44#
發(fā)表于 2025-3-29 05:05:03 | 只看該作者
Martin Westenfelder,Kay Markus WestenfelderWhen the function . remains continuous between two given limits of the variable .,? and that we assign to this variable a value contained between the two limits in question, an infinitely small increment attributed to the variable produces an infinitely small increment of the function itself.
45#
發(fā)表于 2025-3-29 09:59:41 | 只看該作者
Martin Westenfelder,Kay Markus WestenfelderLet . always be a function of the independent variable .,? . an infinitely small quantity and . a finite quantity. If we set . . will also be an infinitely small quantity, and we will have identically
46#
發(fā)表于 2025-3-29 12:00:29 | 只看該作者
47#
發(fā)表于 2025-3-29 19:17:37 | 只看該作者
1. Bildungsjahr: Fokus Psychiatrie,We have considered in the previous lecture the functions of the variable .,? which, for a particular value of the variable, are presented under the indeterminant form . It often happens that this form is found replaced by one of the following
48#
發(fā)表于 2025-3-29 20:03:07 | 只看該作者
,2.?Bildungsjahr: Fokus Psychiatrie,Let . be a function of several independent variables . . We denote by . an infinitely small quantity, and by .the limits toward which the ratios .converge, while . indefinitely approaches zero.
49#
發(fā)表于 2025-3-30 01:51:44 | 只看該作者
50#
發(fā)表于 2025-3-30 07:33:40 | 只看該作者
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