Results 31 to 40 of about 9,480 (288)
Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry
Journal of High Energy Physics, 2021 We further exploit the relation between tropical Grassmannians and Gr(4, n) cluster algebras in order to make and refine predictions for the singularities of scattering amplitudes in planar N $$ \mathcal{N} $$ = 4 super Yang-Mills theory at higher ...
Niklas Henke, Georgios Papathanasiou
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Buildings, 2022 External shading devices are an important design feature in tropical buildings, particularly for climate mitigation. However, the interaction between the depth and elevation of the shading devices and their impact on indoor daylight performance is not ...
Atthaillah +3 more
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Introduction to tropical algebraic geometry [PDF]
, 2020 This talk offers a brief and introductory overview of tropical algebraic geometry with a heavy emphasis on computations. We introduce the notions of tropical semirings and tropical varieties, and discuss some of the algorithms surrounding them.
Ren, Yue
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Generalisations of Tropical Geometry over Hyperfields [PDF]
, 2022 Hyperfields are structures that generalise the notion of a field by way of allowing the addition operation to be multivalued. The aim of this thesis is to examine generalisations of classical theory from algebraic geometry and its combinatorial shadow ...
JAMES MAXWELL
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Geometric Representations of Interacting Maps
International Journal of Mathematics and Mathematical Sciences, 2010 Tropical geometry is a kind of dynamical scale transform which connects automata with real rational dynamics. Real rational dynamics are deeply studied from global analytic viewpoints.
Tsuyoshi Kato
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Generating reliable estimates of tropical-cyclone-induced coastal hazards along the Bay of Bengal for current and future climates using synthetic tracks [PDF]
Natural Hazards and Earth System Sciences, 2022 Deriving reliable estimates of design water levels and wave conditions resulting from tropical cyclones is a challenging problem of high relevance for, among other things, coastal and offshore engineering projects and risk assessment studies.
T. W. B. Leijnse +4 more
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, 2023 5 pages, 9 figures. This guide was published in the Computeralgebra Rundbrief (March 2023).
Gangl, Herbert, Ren, Yue, Urbancic, Ziva
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, 2020 40 pages, 27 figures. Chapter submitted for "Foundations for Undergraduate Research in Mathematics" edited by Pamela Harris, Erik Insko, and Aaron ...
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Projected Gradient Descent Method for Tropical Principal Component Analysis over Tree Space
MathematicsTropical Principal Component Analysis (PCA) is an analogue of the classical PCA in the setting of tropical geometry, and applied it to visualize a set of gene trees over a space of phylogenetic trees, which is a union of lower-dimensional polyhedral ...
Ruriko Yoshida
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