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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

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On a special continuous extension of Sylvester's Theorem

Notations. Denote by $S^{-}\left\{a_0,a_1,\ldots,a_m\right\}$ the number of strict sign changes in the indicated sequence $\left\{a_j\right\}_{j=0}^{m}$ of real numbers (i.e., when counting the sign …
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