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" A sufficient condition for the maximum number of imaginary roots of an equation of the nth degree, "
Monographs on Topics of Modern Mathematics, Relevant to the Elementary Field - Σελίδα 259
επεξεργασία από - 1911 - 416 σελίδες
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Annals of Mathematics

1902 - 232 σελίδες
...DECEMBER, 1902. * Transactions of the American Mathematical Society, vol. 1. 1900, p. 396, Theorem II. A SUFFICIENT CONDITION FOR THE MAXIMUM NUMBER OF IMAGINARY ROOTS OF AN EQUATION OF THE JV-TH DEGREE BY EB VAN VLECK So far as I have been able to ascertain, the following theorem is new...

Bulletin of the American Mathematical Society, Τόμος 9

American Mathematical Society - 1902 - 738 σελίδες
...hyperbola," by JA VAN GROOS ; " A new proof of the generalized Wilson's theorem," by GA MILLER ; " A sufficient condition for the maximum number of imaginary roots of an equation of the nth degree," by EB VAN VLECK. AT the Fourth Colloquium, to be held in connection with the coming summer meeting...

Zeitschrift für Mathematik und Physik, Τόμος 50

1904 - 474 σελίδες
...Schiffsbau. SB 4. 375; 435; 482. Siehe auch 2052—53. Numerische Gleichungeil. 102. EB van Vlock. A sufficient condition for the maximum number of imaginary roots of an equation of the n-lh degree. A of M. (2) 4. 190. 103. A. Pellet. Sur l'approximation des racines reelles des e"quations....

Zeitschrift für Mathematik und Physik, Τόμος 50

1904 - 482 σελίδες
...376; 4S5; 182. Siehe auch 2052—53. Numerische Gleichungen. 102. EB van Vlock. A sufficient coadition for the maximum number of imaginary roots of an equation of the w-1" degree. A of M. (2) 4. 190. 103. A. Pellet. Sur l'approximation des racines reelles des eqnations....

Revue Semestrielle Des Publications Mathématiques, Τόμοι 11-12

1903 - 798 σελίδες
...77—80 (Rev. sent. 1X2, p. 13) Wilson's generalized theorem is obtained (p. 188 — 190). A 3 e. EB VAN VLECK. A sufficient condition for the maximum number of imaginary roots of an equation of the «-th degree. A condition depending on the signs of certain determinants (p. 191 — 192). The Mon...

The Quarterly Journal of Pure and Applied Mathematics, Τόμος 47

1916 - 414 σελίδες
...of a threeline determinant into factors). Mathesis (3), in., pp. 40, 213—214. 1903 VAN VLEOK, EB A sufficient condition for the maximum number of imaginary roots of an equation of the w1" degree. Annals of Math. (2), iv., pp. 191—192. 1904 RKNARD, P. Question 2721. (Bibliography of...

Proceedings, Τόμος 47

Royal Society of Edinburgh - 1928 - 526 σελίδες
...reoccurrence of the same minor in different positions in the original determinant. VAN VLECK, EB (1903 /5). [A sufficient condition for the maximum number of...roots of an equation of the nth degree. Annals of Math. (2), iv, pp. 191-192.] The said condition is of special interest in connection and in comparison...

KWIC Index for Numerical Algebra

Alston Scott Householder - 1972 - 552 σελίδες
...COMPUT. J. 13, 2B9-90 (1970) (CR 12, 20,064) (RZ 1971, 2BBB4) (ZBL. 195, 451) A SUFFICIENT CONOITION FOR THE MAXIMUM NUMBER OF IMAGINARY ROOTS OF AN EQUATION OF THE N-TH OEGREE VAN VLECK, EB ANN. MATH. (21 4, 191-2 (1903) A NOTE ON THE RELATION BETWEEN PERIOOIC ANO ORTHOGONAL...

The American Mathematical Monthly: The Official Journal of the ..., Τόμοι 9-10

1902 - 714 σελίδες
...Equilateral Hyperbola, by JA VanGroos; A New Proof of the Generalized Wilson's Theorem, by GA Miller; A Sufficient Condition for the Maximum Number of Imaginary Roots of an Equation of the nth Degree, by EB Van Vleck. AMERICAN MATHEMATICAL MONTHLY. Entered at the Post-office at Springfield, Missouri,...

Revue Semestrielle Des Publications Mathématiques, Τόμος 12

1904 - 406 σελίδες
...77—80 (Rev. sem. 1X2, p. 13) Wilson's generalized theorem is obtained (p. 188 — 190). A 3 e. EB VAN VLECK. A sufficient condition for the maximum number of imaginary roots of an equation of the и-th degree. A condition depending on the signs of certain determinants (p. 191 — 192;. The Monist,...




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