Sturm's theorem

proper noun

A theorem expressing the number of distinct real roots of p located in an interval in terms of the number of changes of signs of the values of the Sturm sequence at the bounds of the interval. Applied to the interval of all the real numbers, it gives the total number of real roots of p.

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Meanings

proper noun
  1. mathematicsA theorem expressing the number of distinct real roots of p located in an interval in terms of the number of changes of signs of the values of the Sturm sequence at the bounds of the interval. Applied to the interval of all the real numbers, it gives the total number of real roots of p.

Origin

Named after Jacques Charles François Sturm, who discovered the theorem in 1829.

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Cite this entry
APA

Sturm's theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Sturm's%20theorem

MLA

“Sturm's theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Sturm's%20theorem. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Sturm's theorem,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Sturm's%20theorem.

Source: Sturm's theorem on Wiktionary, CC BY-SA 4.0.