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arxiv.org/abs/2302.03611v1
The space of phylogenetic trees arises naturally in tropical geometry as the tropical Grassmannian. Tropical geometry therefore suggests a natural notion of a tropical path between two trees, given by a tropical line segment in the tropical Grassmann...
arxiv.org/abs/1401.4654v2
We show that the weights on a tropical variety can be recovered from the tropical scheme structure proposed by the Giansiracusas in arXiv:1308.0042, so there is a well-defined Hilbert-Chow morphism from a tropical scheme to the underlying tropical cy...
arxiv.org/abs/1910.10239v1
We introduce the notion of tropical curves of hyperelliptic type. These are tropical curves whose Jacobian is isomorphic to that of a hyperelliptic tropical curve, as polarized tropical abelian varieties. We show that this property depends only on th...
en.wikipedia.org/wiki/Tropical_semiring
respectively. The tropical semiring has various applications (see tropical analysis), and forms the basis of tropical geometry. The name tropical is a reference
arxiv.org/abs/1311.2211v1
We explore the concept of real tropical basis of an ideal in the field of real Puiseux series. We show explicit tropical bases of zero-dimensional real radical ideals, linear ideals and hypersurfaces coming from combinatorial patchworking. But we als...
en.wikipedia.org/wiki/Tropical_cyclones_in_2026
2026, tropical cyclones have been forming in seven major bodies of water, commonly known as tropical cyclone basins. Tropical cyclones will be named by
arxiv.org/abs/2503.04145v2
We explore the tropical analog of spinors by representing tropical geometries as foliated Riemann surfaces endowed with degenerate complex structures. We investigate tropical limits of the Laplace-Beltrami operator and explicitly construct its square...
en.wikipedia.org/wiki/Tropical_fish
Tropical fish are fish found in aquatic tropical environments around the world. Fishkeepers often keep tropical fish in freshwater and saltwater aquariums
arxiv.org/abs/1306.3497v2
We introduce the notion of tropical area of a tropical curve defined in an open subset of $\mathbb R^n$. We prove that the number of vertices of a tropical curve is bounded by the area of the curve. The approach is totally elementary yet tricky. Our...
arxiv.org/abs/2601.21973v1
We study tropical Tevelev degrees arising from maps between certain tropical moduli spaces of curves. Building on work of Dawson and Cavalieri, who defined and computed tropical Tevelev degrees in the case of degree $d = g+1$ and $n = g+3$ marked poi...
en.wikipedia.org/wiki/Pa%C3%ADs_Tropical
"País Tropical" ("Tropical Country") is a Brazilian song composed by singer and composer Jorge Ben Jor. The song was originally recorded by singer Wilson
en.wikipedia.org/wiki/Tropical_fruit
are many fruits that typically grow in warm tropical climates or equatorial areas. Varieties of tropical fruit include: Abiu Açaí Acerola (West Indian
en.wikipedia.org/wiki/Tropical_year
A tropical year, or solar year (or tropical period), is the time that the Sun takes to return to the same position in the sky – as viewed from the Earth
arxiv.org/abs/2312.05859v2
Grigoriev and Podolskii (2018) have established a tropical analogue of the effective Nullstellensatz, showing that a system of tropical polynomial equations is solvable if and only if a linearized system obtained from a truncated Macaulay matrix is s...
arxiv.org/abs/1305.4260v1
A tropical matrix is a matrix defined over the max-plus semiring. For such matrices, there exist several non-coinciding notions of rank: the row rank, the column rank, the Schein/Barvinok rank, the Kapranov rank, or the tropical rank, among others. I...
arxiv.org/abs/2409.09201v3
While large language models (LLMs) have shown promise for medical question answering, there is limited work focused on tropical and infectious disease-specific exploration. We build on an opensource tropical and infectious diseases (TRINDs) dataset,...
www.bing.com/ck/a?!&&p=e098e6ab0b566c43e3429a9ddbec17b5f7c353f5db02fdbb288f8ba4e5725eaaJmltdHM9MTc3Mjc1NTIwMA&ptn=3&ver=2&hsh=4&fclid=2650837c-b5d0-6fef-3048-9468b4936e19&u=a1aHR0cHM6Ly93d3cud2hvLmludC93ZXN0ZXJucGFjaWZpYy9lbWVyZ2VuY2llcy90cm9waWNhbC1jeWNsb25lLWdpdGE&ntb=1
Tropical cyclone Gita In early February 2018, Tropical Cyclone Gita, a Category 4 storm with winds of more than 275 kilometres per hour, ravaged the Pacific. As the country most affected by the cyclone, …
arxiv.org/abs/2601.17028v1
Tropical algebra, including max-plus, min-plus, and related idempotent semirings, provides a unifying framework in which many optimization problems that are nonlinear in classical algebra become linear. This property makes tropical methods particular...
en.wikipedia.org/wiki/2024%E2%80%9325_South-West_Indian_Ocean_cyclone_season
Australian region), nine tropical cyclones, six intense tropical cyclones, and only one very intense tropical cyclone. The season began on 15 November