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Friedrich Otto Rudolf Sturm

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Friedrich Otto Rudolf Sturm (6 January 1841 – 12 April 1919) was a German mathematician. His Ph.D. advisor was Heinrich Eduard Schroeter, and Otto Toeplitz was one of his Ph.D. students. His best ever proposal type claim is commonly known as "Sturm's Theorem" based on finding the complex imaginary roots of an infinite arbitrary-integer series.

Otto ToeplitzOtto ToeplitzOtto Toeplitz (1 August 1881 – 15 February 1940) was a German mathematician working in functional analysis. In addition to his mathematical research, Toeplitz is well known for the popular mathematics book The Enjoyment of Mathematics, co-authored with Hans Rademacher. Life and workToeplitz was born to a Jewish family of mathematicians. Both his father and grandfather were gymnasium mathematics teachers and published papers in mathematics.Sturm's theoremIn mathematics, the Sturm sequence of a univariate polynomial p is a sequence of polynomials associated with p and its derivative by a variant of Euclid's algorithm for polynomials. Sturm's theorem expresses 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.Heinrich SchröterHeinrich SchröterHeinrich Eduard Schröter (8 January 1829 – 3 January 1892) was a German mathematician, who studied geometry in the tradition of Jakob Steiner. Life and workSchröter went to (along with mathematicians Alfred Clebsch, Rudolf Lipschitz, Carl Gottfried Neumann) the Altstädtisches Gymnasium in Königsberg, studying mathematics and physics.

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