• Introduction to Tropical Geometry is a book on tropical geometry, by Diane Maclagan and Bernd Sturmfels. It was published by the American Mathematical...
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    In mathematics, tropical geometry is the study of polynomials and their geometric properties when addition is replaced with minimization and multiplication...
    28 KB (3,660 words) - 15:25, 12 July 2025
  • Thumbnail for Bernd Sturmfels
    He has authored or co-authored multiple books including Introduction to Tropical Geometry with Diane Maclagan. Sturmfels' honors include a National...
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  • simplicial complexes and arise in various areas of polyhedral geometry, such as tropical geometry, splines and hyperplane arrangements. A polyhedral complex...
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  • With Bernd Sturmfels, Maclagan is the author of the book Introduction to Tropical Geometry. With Rekha R. Thomas, Sara Faridi, Leah Gold, A. V. Jayanthan...
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  • is cryptography based on the tropical semiring. Tropical geometry is an analog to algebraic geometry, using the tropical semiring. Litvinov, G. L. (2005)...
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  • The tropical semiring has various applications (see tropical analysis), and forms the basis of tropical geometry. The name tropical is a reference to the...
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  • Nonlinear algebra (category Algebraic geometry)
    mathematics are tropical geometry, commutative algebra, and optimization. Nonlinear algebra is closely related to algebraic geometry, where the main objects...
    2 KB (214 words) - 03:42, 29 December 2023
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    Takagi, Hiroshi (August 18, 2021). "A new tropical cyclone surge index incorporating the effects of coastal geometry, bathymetry and storm information". Scientific...
    224 KB (21,893 words) - 01:05, 16 July 2025
  • Thumbnail for Algebraic geometry
    Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems...
    62 KB (7,525 words) - 04:38, 3 July 2025
  • mathematics involving convex and algebraic geometry, such as toric and tropical geometry. Free and open-source software portal Comparison of computer algebra...
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  • ISBN 978-0-8218-9468-2). This book has a companion volume: GSM/32.M Solutions Manual to A Modern Theory of Integration, Robert G. Bartle (2001, ISBN 978-0-8218-2821-2)...
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  • name of Ricci calculus Absolute geometry Also called neutral geometry, a synthetic geometry similar to Euclidean geometry but without the parallel postulate...
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    determined by the local geometry of spacetime—rather than being influenced directly by distant bodies. This framework led to two fundamental principles:...
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  • Thumbnail for Mathematical analysis
    techniques of analysis. Analysis may be distinguished from geometry; however, it can be applied to any space of mathematical objects that has a definition...
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    Difusión DM (2018-02-23), Introduction to Tropical Algebraic Geometry (1 of 5), retrieved 2019-06-11 A. Granville, It Is Easy To Determine Whether A Given...
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    amount of nutrients than tropical factories. Carbonate platforms built by the "cool-water factory" show two types of geometry or depositional profile,...
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  • Mike Develin (category Australian emigrants to the United States)
    paper, "Tropical Convexity", with Sturmfels, is regarded as one of the seminal papers of tropical geometry, garnering over 300 citations to date. Develin...
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  • Thumbnail for Polymake
    Polymake (category Computational geometry)
    shelling and Hasse diagrams. Tropical: functions for exploring tropical geometry; in particular, tropical hypersurfaces and tropical cones. polymake version...
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    World Youth Day, in Rio de Janeiro, Brazil. August 13 – Platform game, Geometry Dash is released by Swedish developer, RobTop.[citation needed] August...
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  • Season (section Tropical)
    Retrieved 27 April 2018. Khavrus, V.; Shelevytsky, I. (2010). "Introduction to solar motion geometry on the basis of a simple model". Physics Education. 45 (6):...
    59 KB (6,410 words) - 21:16, 12 July 2025
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    S2CID 30994835. Apostol, Tom M.; Mnatsakanian, Mamikon A. (2012). New Horizons in Geometry. MAA Press. pp. 29–30. ISBN 978-1-4704-4335-1. see Borrelli, Arianna (2011)...
    93 KB (13,485 words) - 16:23, 13 June 2025
  • Thumbnail for Nepenthes
    (/nɪˈpɛnθiːz/ nih-PEN-theez) is a genus of carnivorous plants, also known as tropical pitcher plants, or monkey cups, in the monotypic family Nepenthaceae. The...
    64 KB (6,993 words) - 03:35, 17 July 2025
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    particles. Current data suggests that the universe has a flat geometry (or very close to flat) and will therefore not collapse in on itself after a finite...
    180 KB (7,923 words) - 20:58, 1 July 2025
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    Han Chinese (category Articles with sections that need to be turned into prose from October 2024)
    in recognition for his fundamental contributions to the development and growth of differential geometry and topology.[excessive citations] The botanist...
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    reasons, in tropical geometry one replaces multiplication with addition and addition with maximization. In this context, addition is called "tropical multiplication"...
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    flow is laminar or turbulent. In order for two flows to be similar, they must have the same geometry and equal Reynolds and Euler numbers. When comparing...
    51 KB (6,446 words) - 13:17, 13 July 2025
  • 8,801… 8,901… back to top back to top back to top back to top back to top back to top back to top back to top back to top back to top "WGSBN Bulletin...
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    smoke rings, whirlpools in the wake of a boat, and the winds surrounding a tropical cyclone, tornado or dust devil. Vortices are a major component of turbulent...
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  • Thumbnail for Lightning
    by lightning lead to significant local increases in ozone and oxides of nitrogen. Each lightning flash in temperate and sub-tropical areas produces 7 kg...
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