Titlebook: Cauchy’s Cours d’analyse; An Annotated Transla Robert E. Bradley,C. Edward Sandifer Book 20091st edition Springer-Verlag New York 2009 Calc

Callus

On real functions.,er variables, we normally consider these various quantities to be expressed by means of the one among them, which therefore takes the name the .. The other quantities expressed by means of the independent variable are called . of that variable.

climax

On infinitely small and infinitely large quantities, and on the continuity of functions. Singular v is worth remarking on this point that one ought not confuse a constant decrease with an indefinite decrease. The area of a regular polygon circumscribed about a given circle decreases constantly as the number of sides increases, but not indefinitely, because it has as its limit the area of the circ

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懶惰人民

irritation

寬宏大量

genuine

On recurrent series.,oefficient of any power of the variable is expressed as a linear function of a fixed number of the coefficients of lesser powers, and consequently it suffices to .. to the values of these last coefficients to deduce the one we are seeking.

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Chirurgie der Gallenwege und Gallenblase[71] A . function of several quantities is one which conserves the same value and the same sign after any exchange made among its quantities.

Narcissist

Chirurgie der Gallenwege und Gallenblase[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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https://doi.org/10.1007/978-3-662-57953-4Be the sum of the first . terms of this series. Depending on whether or not .. converges towards a fixed limit∈dex{limit} for increasing values of ., we say that series (3) is . and that it has this limit as its sum, or else that it is . and it does not have a sum. The first case evidently occurs if the two sums.