Word.ws English Dictionary

Sturm's theorem

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.

Proper noun

Sturm's theorem

  1. 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.

Origin of Sturm's theorem

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

Questions about Sturm's theorem

What does Sturm's theorem mean?
Sturm's theorem means 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.
What part of speech is Sturm's theorem?
Sturm's theorem is a proper noun.

Words near Sturm's theorem in the dictionary

  1. Sturm
  2. sturm and drang
  3. Sturm sequence
  4. Sturm sequences
  5. Sturm und Drang
  6. Sturm's theorem
  7. Sturm-Liouville equation
  8. Sturm-Liouville form
  9. Sturm-Liouville theories
  10. Sturm-Liouville theory
  11. Sturmabteilung

Source and license

Adapted from Wiktionary: Sturm's theorem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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