Kozhasov, Khazhgali; Lasserre, Jean B. Volumes of sublevel sets of nonnegative forms and complete monotonicity. (English) Zbl 07777560 SIAM J. Appl. Algebra Geom. 7, No. 4, 768-785 (2023). Reviewer: Jaewoo Jung (Daejeon) MSC: 14P10 26B15 26C05 26C10 44A10 51M25 PDFBibTeX XMLCite \textit{K. Kozhasov} and \textit{J. B. Lasserre}, SIAM J. Appl. Algebra Geom. 7, No. 4, 768--785 (2023; Zbl 07777560) Full Text: DOI
Fujimura, Masayo; Mocanu, Marcelina; Vuorinen, Matti The Ptolemy-Alhazen problem and quadric surface mirror reflection. (English) Zbl 1526.30016 Complex Var. Elliptic Equ. 68, No. 11, 1880-1898 (2023). MSC: 30C20 30C15 51M99 PDFBibTeX XMLCite \textit{M. Fujimura} et al., Complex Var. Elliptic Equ. 68, No. 11, 1880--1898 (2023; Zbl 1526.30016) Full Text: DOI arXiv
Abrams, Aaron; Pommersheim, James An illustrated encyclopedia of area relations. (English) Zbl 07712505 Eur. J. Math. 9, No. 3, Paper No. 49, 46 p. (2023). Reviewer: Lionel Pournin (Paris) MSC: 51M25 14M99 26C10 PDFBibTeX XMLCite \textit{A. Abrams} and \textit{J. Pommersheim}, Eur. J. Math. 9, No. 3, Paper No. 49, 46 p. (2023; Zbl 07712505) Full Text: DOI arXiv
Schmitz, Michael; Streicher, André Envelopes are solving machines for quadratics and cubics and certain polynomials of arbitrary degree. (English) Zbl 1521.97015 Coll. Math. J. 53, No. 5, 372-381 (2022). MSC: 97H40 97G70 12D10 51N20 PDFBibTeX XMLCite \textit{M. Schmitz} and \textit{A. Streicher}, Coll. Math. J. 53, No. 5, 372--381 (2022; Zbl 1521.97015) Full Text: DOI arXiv
Dong, Shi-Hai; Najafizade, Amene; Panahi, Hossein; Chung, Won Sang; Hassanabadi, Hassan Superintegrability on the Dunkl oscillator model in three-dimensional spaces of constant curvature. (English) Zbl 1502.81041 Ann. Phys. 444, Article ID 169014, 17 p. (2022). MSC: 81Q80 35B05 35J93 17B15 42A85 51F15 81R10 81Q12 33C45 47A10 PDFBibTeX XMLCite \textit{S.-H. Dong} et al., Ann. Phys. 444, Article ID 169014, 17 p. (2022; Zbl 1502.81041) Full Text: DOI arXiv
Kozhasov, Khazhgali; Lasserre, Jean B. Non-negative forms, volumes of sublevel sets, complete monotonicity and moment matrices. arXiv:2206.05170 Preprint, arXiv:2206.05170 [math.AG] (2022). MSC: 14P10 26B15 26C05 26C10 44A10 51M25 90C23 BibTeX Cite \textit{K. Kozhasov} and \textit{J. B. Lasserre}, ``Non-negative forms, volumes of sublevel sets, complete monotonicity and moment matrices'', Preprint, arXiv:2206.05170 [math.AG] (2022) Full Text: arXiv OA License
Pech, Pavel Factorization of locus polynomials using DGS. (English) Zbl 1484.12002 Cheng, Liang-Yee (ed.), ICGG 2020 – Proceedings of the 19th international conference on geometry and graphics, São Paulo, Brazil, January 18–22, 2021. Cham: Springer. Adv. Intell. Syst. Comput. 1296, 94-102 (2021). MSC: 12-08 12D10 51-08 PDFBibTeX XMLCite \textit{P. Pech}, Adv. Intell. Syst. Comput. 1296, 94--102 (2021; Zbl 1484.12002) Full Text: DOI
Fujimura, Masayo; Hariri, Parisa; Mocanu, Marcelina; Vuorinen, Matti The Ptolemy-Alhazen problem and spherical mirror reflection. (English) Zbl 1419.30005 Comput. Methods Funct. Theory 19, No. 1, 135-155 (2019). MSC: 30C20 30C15 51M99 PDFBibTeX XMLCite \textit{M. Fujimura} et al., Comput. Methods Funct. Theory 19, No. 1, 135--155 (2019; Zbl 1419.30005) Full Text: DOI arXiv
Neff, Patrizio; Fischle, Andreas; Borisov, Lev Explicit global minimization of the symmetrized Euclidean distance by a characterization of real matrices with symmetric square. (English) Zbl 1416.15023 SIAM J. Appl. Algebra Geom. 3, No. 1, 31-43 (2019). Reviewer: Adriana Nicolae (Cluj-Napoca) MSC: 15B10 51K05 15A24 22E30 26C10 PDFBibTeX XMLCite \textit{P. Neff} et al., SIAM J. Appl. Algebra Geom. 3, No. 1, 31--43 (2019; Zbl 1416.15023) Full Text: DOI
Bogosel, Beniamin A geometric proof of the Siebeck-Marden theorem. (English) Zbl 1391.51009 Am. Math. Mon. 124, No. 5, 459-463 (2017). MSC: 51M04 12D10 PDFBibTeX XMLCite \textit{B. Bogosel}, Am. Math. Mon. 124, No. 5, 459--463 (2017; Zbl 1391.51009) Full Text: DOI
Kahn, Peter J. A generalization of Wantzel’s theorem, \(m\)-sectable angles, and the density of certain Chebyshev-polynomial images. (English) Zbl 1397.11147 J. Pure Appl. Algebra 219, No. 9, 3931-3945 (2015). MSC: 11R09 12D10 51M04 PDFBibTeX XMLCite \textit{P. J. Kahn}, J. Pure Appl. Algebra 219, No. 9, 3931--3945 (2015; Zbl 1397.11147) Full Text: DOI arXiv
Nash, Oliver On Klein’s icosahedral solution of the quintic. (English) Zbl 1319.12001 Expo. Math. 32, No. 2, 99-120 (2014). MSC: 12D10 30C15 13A50 51M20 PDFBibTeX XMLCite \textit{O. Nash}, Expo. Math. 32, No. 2, 99--120 (2014; Zbl 1319.12001) Full Text: DOI arXiv Backlinks: MO MO
Tao, Terence Algebraic combinatorial geometry: the polynomial method in arithmetic combinatorics, incidence combinatorics, and number theory. (English) Zbl 1294.05044 EMS Surv. Math. Sci. 1, No. 1, 1-46 (2014). MSC: 05B25 05E15 11T06 12D10 51H10 PDFBibTeX XMLCite \textit{T. Tao}, EMS Surv. Math. Sci. 1, No. 1, 1--46 (2014; Zbl 1294.05044) Full Text: DOI arXiv
Ball, Simeon; Serra, Oriol Punctured combinatorial Nullstellensätze. (English) Zbl 1224.13020 Combinatorica 29, No. 5, 511-522 (2009). Reviewer: Kazimierz Szymiczek (Katowice) MSC: 13F20 51E21 PDFBibTeX XMLCite \textit{S. Ball} and \textit{O. Serra}, Combinatorica 29, No. 5, 511--522 (2009; Zbl 1224.13020) Full Text: DOI Link
Minda, D.; Phelps, S. Triangles, ellipses, and cubic polynomials. (English) Zbl 1229.12002 Am. Math. Mon. 115, No. 8, 679-689 (2008). MSC: 12D10 51M16 97G70 97H40 PDFBibTeX XMLCite \textit{D. Minda} and \textit{S. Phelps}, Am. Math. Mon. 115, No. 8, 679--689 (2008; Zbl 1229.12002) Full Text: DOI
Hästö, Peter A. Inequalities of generalized hyperbolic metrics. (English) Zbl 1145.30004 Rocky Mt. J. Math. 37, No. 1, 189-202 (2007). Reviewer: Matti Vuorinen (Turku) MSC: 30C15 51M16 PDFBibTeX XMLCite \textit{P. A. Hästö}, Rocky Mt. J. Math. 37, No. 1, 189--202 (2007; Zbl 1145.30004) Full Text: DOI Euclid
Lau, Dietlinde Algebra and discrete mathematics 1. Basic mathematical concepts, algebraic structures 1, linear algebra and analytic geometry, numerical algebra. (Algebra und diskrete Mathematik 1. Grundbegriffe der Mathematik, algebraische Strukturen 1, lineare Algebra und analytische Geometrie, numerische Algebra.) (German) Zbl 1045.15001 Springer-Lehrbuch. Berlin: Springer (ISBN 3-540-20397-4). xiv, 478 p. (2004). Reviewer: Robert Plato (Berlin) MSC: 15-01 65Fxx 65Hxx 65D05 65-01 51N20 PDFBibTeX XMLCite \textit{D. Lau}, Algebra und diskrete Mathematik 1. Grundbegriffe der Mathematik, algebraische Strukturen 1, lineare Algebra und analytische Geometrie, numerische Algebra. Berlin: Springer (2004; Zbl 1045.15001) Full Text: DOI
Niculescu, Constantin P. On the algebraic character of Blundon’s inequalities. (English) Zbl 1074.51501 Cho, Yeol Je (ed.) et al., Inequality theory and applications. Vol. 3. Papers from the 7th international conference on nonlinear functional analysis and applications, Gyeongsang National University, Chinju, Korea and at Kyungnam University, Masan, Korea, August 6–10, 2001. Hauppauge, NY: Nova Science Publishers (ISBN 1-59033-891-X/hbk). 139-144 (2003). Reviewer: Mihai Cipu (Bucureşti) MSC: 51M16 26D05 12D10 14P10 PDFBibTeX XMLCite \textit{C. P. Niculescu}, in: Inequality theory and applications. Vol. 3. Papers from the 7th international conference on nonlinear functional analysis and applications, Gyeongsang National University, Chinju, Korea and at Kyungnam University, Masan, Korea, August 6--10, 2001. Hauppauge, NY: Nova Science Publishers. 139--144 (2003; Zbl 1074.51501)
Radić, M.; Pogány, T. K.; Kadum, V. On equations and properties concerning some classes of chordal polygons. (English) Zbl 1059.51009 Balkan J. Geom. Appl. 8, No. 2, 57-80 (2003). Reviewer: Ágota H. Temesvári (Sopron) MSC: 51E12 12D10 51M04 26C10 PDFBibTeX XMLCite \textit{M. Radić} et al., Balkan J. Geom. Appl. 8, No. 2, 57--80 (2003; Zbl 1059.51009) Full Text: EuDML
Cartwright, Donald I.; Steger, Tim Elementary symmetric polynomials in numbers of modulus 1. (English) Zbl 1006.05059 Can. J. Math. 54, No. 2, 239-262 (2002). Reviewer: Vesselin Drensky (Sofia) MSC: 05E05 33C45 51E24 30C15 PDFBibTeX XMLCite \textit{D. I. Cartwright} and \textit{T. Steger}, Can. J. Math. 54, No. 2, 239--262 (2002; Zbl 1006.05059) Full Text: DOI
Wu, Wen-Tsun Mathematics mechanization. Mechanical geometry theorem-proving, mechanical geometry problem-solving and polynomial equations-solving. (English) Zbl 0987.68074 Mathematics and its Applications (Dordrecht). 489. Dordrecht: Kluwer Academic Publishers. Beijing: Science Press. xii, 420 p. (2000). Reviewer: Christian Fenske (Gießen) MSC: 68T15 68-01 01A25 12D10 13P10 14Q05 51M04 65G99 68T40 68U07 68W30 PDFBibTeX XMLCite \textit{W.-T. Wu}, Mathematics mechanization. Mechanical geometry theorem-proving, mechanical geometry problem-solving and polynomial equations-solving. Dordrecht: Kluwer Academic Publishers; Beijing: Science Press (2000; Zbl 0987.68074)
Agarwal, Pankaj K.; Sharir, Micha Arrangements and their applications. (English) Zbl 0948.52011 Sack, J.-R. (ed.) et al., Handbook of computational geometry. Amsterdam: North-Holland. 49-119 (2000). Reviewer: Frank Plastria (Brussels) MSC: 52C35 68U05 51M20 30C15 68T40 92E10 PDFBibTeX XMLCite \textit{P. K. Agarwal} and \textit{M. Sharir}, in: Handbook of computational geometry. Amsterdam: North-Holland. 49--119 (2000; Zbl 0948.52011)
Mueller, Julia; Schmidt, W. M. On the Newton polygon. (English) Zbl 0770.12001 Monatsh. Math. 113, No. 1, 33-50 (1992). Reviewer: D.Ştefănescu (Bucureşti) MSC: 12D05 12D10 51M25 PDFBibTeX XMLCite \textit{J. Mueller} and \textit{W. M. Schmidt}, Monatsh. Math. 113, No. 1, 33--50 (1992; Zbl 0770.12001) Full Text: DOI EuDML
Mitrinović, D. S.; Pečarić, J. E.; Volenec, V. An elementary method for maximizing of some functions. (English) Zbl 0733.26013 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 34(82), No. 1, 37-47 (1990). Reviewer: J.Aczél (Waterloo/Ontario) MSC: 26D15 51M16 PDFBibTeX XMLCite \textit{D. S. Mitrinović} et al., Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 34(82), No. 1, 37--47 (1990; Zbl 0733.26013)
Khovanskiĭ, A. G. Fewnomials of Pfaff manifolds. (English) Zbl 0586.51015 Proc. Int. Congr. Math., Warszawa 1983, Vol. 1, 549-564 (1984). Reviewer: U.Karras MSC: 51H30 14Pxx 14N10 12D10 PDFBibTeX XML
Pontryagin, Lev S. Learning higher mathematics. Part I: The method of coordinates. Part II: Analysis of the infinitely small. Transl. from the Russian by Edwin Hewitt. (English) Zbl 0573.26002 Springer Series in Soviet Mathematics. Berlin etc.: Springer-Verlag. viii, 304 p., 68 figs. (1984). Reviewer: Dan Brânzei (Iaşi) MSC: 26-01 30-01 51N20 26A03 26C10 28-01 30C15 40-01 51M05 PDFBibTeX XML
Schaffer, Dorothy Browne On the convexity of lemniscates. (English) Zbl 0188.52902 Proc. Am. Math. Soc. 26, 619-620 (1970). MSC: 30C15 51Nxx PDFBibTeX XMLCite \textit{D. B. Schaffer}, Proc. Am. Math. Soc. 26, 619--620 (1970; Zbl 0188.52902) Full Text: DOI
Lie, S. On a representation of the imaginery numbers in geometry. (Ueber eine Darstellung des Imaginären in der Geometrie.) (German) JFM 02.0341.01 Borchardt J. LXX, 346 (1869). Reviewer: Kr. MSC: 51N10 30C15 51M99 PDFBibTeX XMLCite \textit{S. Lie}, J. Reine Angew. Math. 70, 346 (1869; JFM 02.0341.01) Full Text: DOI Crelle EuDML
Henrici On certain formulae concerning the theory of discriminants; with applications to discriminants of discriminants, and to the theory of polar curves. (English) JFM 02.0076.02 Proc. L. M. S. II, 104-116 (1869). Reviewer: Netto, Dr. (Berlin) MSC: 14H05 14H50 26C10 26B05 53A04 51E10 PDFBibTeX XMLCite \textit{Henrici}, Proc. Lond. Math. Soc. 2, 104--116 (1869; JFM 02.0076.02) Full Text: DOI
Rosanes; Pasch About an algebraic question, that is founded upon a kind of geometric problems. (Ueber eine algebraische Aufgabe, welche einer Gattung geometrischer Probleme zu Grunde liegt.) (German) JFM 02.0073.01 Borchardt J. LXX, 169-175 (1869). Reviewer: Netto, Dr. (Berlin) MSC: 14H05 12E12 14C25 26C10 40A05 51N20 51N05 60J10 PDFBibTeX XMLCite \textit{Rosanes} and \textit{Pasch}, J. Reine Angew. Math. 70, 169--175 (1869; JFM 02.0073.01) Full Text: DOI Crelle EuDML