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Signed Tropicalization of Polar Cones. [PDF]
J Optim Theory ApplAkian M +3 more
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Journal of the London Mathematical Society, 1986
This paper continues the development of valuation theory in the setting of Bishop's constructive mathematics, as initiated by the authors in J. Number Theory 19, 40-62 (1984; Zbl 0549.12015). Included are the equivalence of norms on finite dimensional vector spaces over locally compact fields, the Gelfand-Tornheim theorem on normed fields over the ...
Mines, Ray, Richman, Fred
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This paper continues the development of valuation theory in the setting of Bishop's constructive mathematics, as initiated by the authors in J. Number Theory 19, 40-62 (1984; Zbl 0549.12015). Included are the equivalence of norms on finite dimensional vector spaces over locally compact fields, the Gelfand-Tornheim theorem on normed fields over the ...
Mines, Ray, Richman, Fred
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Russian Mathematical Surveys, 2004
A two-dimensional manifold pasted together out of \(r\)-gons, \(r\geq 3\), such that the degrees of interior points are equal to \(q\geq 3\), and those of boundary points \(\leq q\), is said to be an \((r,q)\)-polycycle. An \((r,q)\)-polycycle \(P\) is called \(k\)-isogonal if the group \(\Aut P\) has exactly \(k\) orbits on the vertices.
Deza, M., Shtogrin, M. I.
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A two-dimensional manifold pasted together out of \(r\)-gons, \(r\geq 3\), such that the degrees of interior points are equal to \(q\geq 3\), and those of boundary points \(\leq q\), is said to be an \((r,q)\)-polycycle. An \((r,q)\)-polycycle \(P\) is called \(k\)-isogonal if the group \(\Aut P\) has exactly \(k\) orbits on the vertices.
Deza, M., Shtogrin, M. I.
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The Mathematical Gazette, 1957
A helicoid is the surface generated by a curve which is simultane rotated about a fixed axis and translated in the direction of the axis w velocity proportional to the angular velocity of rotation.[1] An Archime Screw [2] is strictly a finite helicoid in which the generating curve is c (and ...
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A helicoid is the surface generated by a curve which is simultane rotated about a fixed axis and translated in the direction of the axis w velocity proportional to the angular velocity of rotation.[1] An Archime Screw [2] is strictly a finite helicoid in which the generating curve is c (and ...
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ON ARCHIMEDEAN LINK COMPLEMENTS
Journal of Knot Theory and Its Ramifications, 2002We study a subclass of alternating links for which the complete hyperbolic metric can be realised directly by pairwise identification of faces of two ideal hyperbolic polyhedra. Our main result is a characterization of these links: essentially, the corresponding polyhedra are exactly the Archimedean solids with trivalent vertices. Furthermore, we show
Aitchison, Iain R., Reeves, Lawrence D.
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Algebra Universalis, 1973
Anarchimedean lattice is a complete algebraic latticeL with the property that for each compact elementc∈L, the meet of all the maximal elements in the interval [0,c] is 0.L ishyper-archimedean if it is archimedean and for eachx∈L, [x, 1] is archimedean.
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Anarchimedean lattice is a complete algebraic latticeL with the property that for each compact elementc∈L, the meet of all the maximal elements in the interval [0,c] is 0.L ishyper-archimedean if it is archimedean and for eachx∈L, [x, 1] is archimedean.
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1971
Contains fulltext : 05______(1).pdf (Publisher’s version ) (Closed access)
Schikhof, W.H., Rooij, A.C.M. van
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Contains fulltext : 05______(1).pdf (Publisher’s version ) (Closed access)
Schikhof, W.H., Rooij, A.C.M. van
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Theoria, 2002
Abstract: The Archimedean Axiom is often held to be an intuitively obvious truth about the geometry of physical space. After a general discussion of the varieties of geometrical intuition that have been proposed, I single out one variety which we can plausibly be held to have and then argue that it does not underwrite the intuitive obviousness of the ...
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Abstract: The Archimedean Axiom is often held to be an intuitively obvious truth about the geometry of physical space. After a general discussion of the varieties of geometrical intuition that have been proposed, I single out one variety which we can plausibly be held to have and then argue that it does not underwrite the intuitive obviousness of the ...
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