Crabb, M. C. On Borsuk-Ulam theorems and convex sets. (English) Zbl 1521.05218 Mathematika 69, No. 2, 366-370 (2023). MSC: 05E45 52A20 55M25 55R25 54E35 PDFBibTeX XMLCite \textit{M. C. Crabb}, Mathematika 69, No. 2, 366--370 (2023; Zbl 1521.05218) Full Text: DOI arXiv
Forsgård, Jens; de Wolff, Timo The algebraic boundary of the sonc-cone. (English) Zbl 1506.14107 SIAM J. Appl. Algebra Geom. 6, No. 3, 468-502 (2022). Reviewer: Alexander Kovačec (Coimbra) MSC: 14M25 14T15 55R80 26C10 12D10 14P10 52B20 PDFBibTeX XMLCite \textit{J. Forsgård} and \textit{T. de Wolff}, SIAM J. Appl. Algebra Geom. 6, No. 3, 468--502 (2022; Zbl 1506.14107) Full Text: DOI arXiv
Sète, Olivier; Zur, Jan Number and location of pre-images under harmonic mappings in the plane. (English) Zbl 1475.31004 Ann. Fenn. Math. 46, No. 1, 225-247 (2021). MSC: 31A05 55M25 PDFBibTeX XMLCite \textit{O. Sète} and \textit{J. Zur}, Ann. Fenn. Math. 46, No. 1, 225--247 (2021; Zbl 1475.31004) Full Text: DOI arXiv
Adams, Henry; Bush, Johnathan; Frick, Florian Metric thickenings, Borsuk-Ulam theorems, and orbitopes. (English) Zbl 1443.05188 Mathematika 66, No. 1, 79-102 (2020). Reviewer: Bożena Piątek (Gliwice) MSC: 05E45 52B15 54E35 55P10 55U10 PDFBibTeX XMLCite \textit{H. Adams} et al., Mathematika 66, No. 1, 79--102 (2020; Zbl 1443.05188) Full Text: DOI arXiv
Proudfoot, Nicholas; Xu, Yuan; Young, Ben The \(Z\)-polynomial of a matroid. (English) Zbl 1380.05022 Electron. J. Comb. 25, No. 1, Research Paper P1.26, 21 p. (2018). MSC: 05B35 52B40 55N33 11B83 12D10 PDFBibTeX XMLCite \textit{N. Proudfoot} et al., Electron. J. Comb. 25, No. 1, Research Paper P1.26, 21 p. (2018; Zbl 1380.05022) Full Text: arXiv Link
Mawhin, Jean Bolzano’s theorems for holomorphic mappings. (English) Zbl 1366.30005 Chin. Ann. Math., Ser. B 38, No. 2, 563-578 (2017). MSC: 30C15 30E20 55M20 PDFBibTeX XMLCite \textit{J. Mawhin}, Chin. Ann. Math., Ser. B 38, No. 2, 563--578 (2017; Zbl 1366.30005) Full Text: DOI
Theobald, Thorsten; de Wolff, Timo Norms of roots of trinomials. (English) Zbl 1379.12002 Math. Ann. 366, No. 1-2, 219-247 (2016). MSC: 12D10 14H10 14H50 26C10 30C15 55R10 14D05 55P15 PDFBibTeX XMLCite \textit{T. Theobald} and \textit{T. de Wolff}, Math. Ann. 366, No. 1--2, 219--247 (2016; Zbl 1379.12002) Full Text: DOI arXiv
Violet, Grey Continuity argument revisited: geometry of root clustering via symmetric products. arXiv:1512.08645 Preprint, arXiv:1512.08645 [math.OC] (2015). MSC: 93D09 55S15 12D10 26C10 14P10 BibTeX Cite \textit{G. Violet}, ``Continuity argument revisited: geometry of root clustering via symmetric products'', Preprint, arXiv:1512.08645 [math.OC] (2015) Full Text: arXiv OA License
Gómez Ruiz, Francisco Degree 2 polynomial maps from spheres to the two sphere over any field. (English) Zbl 1132.12001 Commun. Algebra 35, No. 12, 4105-4111 (2007). Reviewer: Thomas Püttmann (Bonn) MSC: 12D10 14P25 55Q40 PDFBibTeX XMLCite \textit{F. Gómez Ruiz}, Commun. Algebra 35, No. 12, 4105--4111 (2007; Zbl 1132.12001) Full Text: DOI
Bayne, Richard; Edwards, Terrence; Kwack, Myung H. A common generalization of the intermediate value theorem and Rouché’s theorem. (English) Zbl 1134.30003 Missouri J. Math. Sci. 18, No. 1, 26-32 (2006). MSC: 30C15 55M25 PDFBibTeX XMLCite \textit{R. Bayne} et al., Missouri J. Math. Sci. 18, No. 1, 26--32 (2006; Zbl 1134.30003)
Malyshev, V. A. A theorem on intersection with a \(k\)-dimensional barycenter. (English. Russian original) Zbl 1098.55004 St. Petersbg. Math. J. 17, No. 4, 635-640 (2006); translation from Algebra Anal. 17, No. 4, 115-124 (2005). MSC: 55M99 26C10 57Q15 41A50 PDFBibTeX XMLCite \textit{V. A. Malyshev}, St. Petersbg. Math. J. 17, No. 4, 635--640 (2006; Zbl 1098.55004); translation from Algebra Anal. 17, No. 4, 115--124 (2005) Full Text: DOI
Harte, Robin; Keogh, Gary Touché Rouché. (English) Zbl 1257.30019 Bull. Korean Math. Soc. 40, No. 2, 215-221 (2003). MSC: 30C80 30C15 55M20 PDFBibTeX XMLCite \textit{R. Harte} and \textit{G. Keogh}, Bull. Korean Math. Soc. 40, No. 2, 215--221 (2003; Zbl 1257.30019) Full Text: DOI
Kearfott, R. Baker; Dian, Jianwei; Neumaier, A. Existence verification for singular zeros of complex nonlinear systems. (English) Zbl 0986.65054 SIAM J. Numer. Anal. 38, No. 2, 360-379 (2000). Reviewer: Herbert Fischer (München) MSC: 65H10 30C15 65E05 55M25 PDFBibTeX XMLCite \textit{R. B. Kearfott} et al., SIAM J. Numer. Anal. 38, No. 2, 360--379 (2000; Zbl 0986.65054) Full Text: DOI
Fine, Benjamin; Rosenberger, Gerhard The fundamental theorem of algebra. (English) Zbl 0902.12001 Undergraduate Texts in Mathematics. New York, NY: Springer. xi, 208 p. (1997). Reviewer: John N. Mordeson (Omaha) MSC: 12-01 12D10 55-01 30-01 30C15 PDFBibTeX XMLCite \textit{B. Fine} and \textit{G. Rosenberger}, The fundamental theorem of algebra. New York, NY: Springer (1997; Zbl 0902.12001)
Verschelde, Jan; Gatermann, Karin Symmetric Newton polytopes for solving sparse polynomial systems. (English) Zbl 0832.65048 Adv. Appl. Math. 16, No. 1, 95-127 (1995). Reviewer: I.Coroian (Baia Mare) MSC: 65H10 65H20 12Y05 26C10 55P15 PDFBibTeX XMLCite \textit{J. Verschelde} and \textit{K. Gatermann}, Adv. Appl. Math. 16, No. 1, 95--127 (1995; Zbl 0832.65048) Full Text: DOI
Verheul, E. R. Elementary proofs concerning results about functions on the n-sphere. (English) Zbl 0732.55001 Topology Appl. 40, No. 2, 101-116 (1991). Reviewer: Yu. Zelinskij (Kyïv) MSC: 55M20 30C15 55M25 PDFBibTeX XMLCite \textit{E. R. Verheul}, Topology Appl. 40, No. 2, 101--116 (1991; Zbl 0732.55001) Full Text: DOI
Baker, John A. Plane curves, polar coordinates and winding numbers. (English) Zbl 0742.30001 Math. Mag. 64, No. 2, 75-91 (1991). Reviewer: J.Matkowski (Bielsko-Biała) MSC: 30-01 30C15 55M20 55M25 PDFBibTeX XMLCite \textit{J. A. Baker}, Math. Mag. 64, No. 2, 75--91 (1991; Zbl 0742.30001) Full Text: DOI
Cohen, Ralph L.; Jones, John D. S. Representations of braid groups and operators coupled to monopoles. (English) Zbl 0744.55009 Geometry of low-dimensional manifolds. 1: Gauge theory and algebraic surfaces, Proc. Symp., Durham/UK 1989, Lond. Math. Soc. Lect. Note Ser. 150, 191-205 (1990). Reviewer: J.Weinstein (Herzeliyya) MSC: 55R25 20F36 30C15 PDFBibTeX XMLCite \textit{R. L. Cohen} and \textit{J. D. S. Jones}, Lond. Math. Soc. Lect. Note Ser. None, 191--205 (1990; Zbl 0744.55009)
Datta, Basudeb; Nag, Subhashis Zero-sets of quaternionic and octonionic analytic functions with central coefficients. (English) Zbl 0596.30062 Bull. Lond. Math. Soc. 19, 329-336 (1987). MSC: 30G35 30C15 55M25 PDFBibTeX XMLCite \textit{B. Datta} and \textit{S. Nag}, Bull. Lond. Math. Soc. 19, 329--336 (1987; Zbl 0596.30062) Full Text: DOI
Wright, Alden H. Finding all solutions to a system of polynomial equations. (English) Zbl 0567.55002 Math. Comput. 44, 125-133 (1985). Reviewer: N.F.F.Ebecken MSC: 55M99 65F99 65H99 12D10 PDFBibTeX XMLCite \textit{A. H. Wright}, Math. Comput. 44, 125--133 (1985; Zbl 0567.55002) Full Text: DOI
Knebusch, Manfred An algebraic proof of the Borsuk-Ulam theorem for polynomial mappings. (English) Zbl 0496.14015 Proc. Am. Math. Soc. 84, 29-32 (1982). MSC: 14Pxx 12D10 26C10 55M20 14A05 PDFBibTeX XMLCite \textit{M. Knebusch}, Proc. Am. Math. Soc. 84, 29--32 (1982; Zbl 0496.14015) Full Text: DOI
Delsarte, Philippe; Genin, Yves V.; Kamp, Yves G. A simple proof of Rudin’s multivariable stability theorem. (English) Zbl 0523.93054 IEEE Trans. Acoust. Speech Signal Process. 28, 701-705 (1980). MSC: 93D99 30C15 93C35 42A16 55P99 PDFBibTeX XMLCite \textit{P. Delsarte} et al., IEEE Trans. Acoust. Speech Signal Process. 28, 701--705 (1980; Zbl 0523.93054) Full Text: DOI
Hsu, Chieh-Su Theory of index and a generalized Nyquist criterion. (English) Zbl 0453.57015 Int. J. Non-Linear Mech. 15, 349-354 (1980). MSC: 57R25 30D35 32H30 37C25 55M25 PDFBibTeX XMLCite \textit{C.-S. Hsu}, Int. J. Non-Linear Mech. 15, 349--354 (1980; Zbl 0453.57015) Full Text: DOI
Kojima, Masakazu; Nishino, Hisakazu; Arima, Naohiko A PL homotopy for finding all the roots of a polynomial. (English) Zbl 0395.65016 Math. Program. 16, 37-62 (1979). MSC: 65H05 26C10 30C15 55M20 PDFBibTeX XMLCite \textit{M. Kojima} et al., Math. Program. 16, 37--62 (1979; Zbl 0395.65016) Full Text: DOI
Bott, Raoul On the shape of a curve. (English) Zbl 0308.55011 Adv. Math. 16, 144-159 (1975). MSC: 55P99 14-01 14H99 14J99 55-01 57N65 30C15 PDFBibTeX XMLCite \textit{R. Bott}, Adv. Math. 16, 144--159 (1975; Zbl 0308.55011) Full Text: DOI