抛媚眼
发表于 2025-3-25 06:46:51
Generalizations of Metric SpacesSome immediate generalizations of the notion of metric, for example, ., ., ., were defined in Chap. .. Here we give some generalizations in the direction of Topology, Probability, Algebra, etc.
没花的是打扰
发表于 2025-3-25 11:16:29
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载货清单
发表于 2025-3-25 15:25:04
Metrics on Normed StructuresIn this chapter we consider a special class of metrics defined on some ., as the norm of the difference between two given elements. This structure can be a group (with a .), a vector space (with a . or, simply, a .), a vector lattice (with a .), a field (with a .), etc.
committed
发表于 2025-3-25 16:39:35
Distances in Geometry . arose as the field of knowledge dealing with spatial relationships. It was one of the two fields of pre-modern Mathematics, the other being the study of numbers.
Aromatic
发表于 2025-3-25 22:26:43
Distances on Surfaces and KnotsA . is a real two-dimensional . . ., i.e., a ., each point of which has a neighborhood which is homeomorphic to a plane ., or a closed half-plane (cf. Chap. .).
slow-wave-sleep
发表于 2025-3-26 00:15:50
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WITH
发表于 2025-3-26 04:37:34
Distances in AlgebraA . (.,⋅,.) is a set . of elements with a binary operation ⋅, called the ., that together satisfy the four fundamental properties of . (.⋅.∈. for any .,.∈.), . (.⋅(.⋅.)=(.⋅.)⋅. for any .,.,.∈.), the . (.⋅.=.⋅.=. for any .∈.), and the . (for any .∈., there exists an element . .∈. such that .⋅. .=. .⋅.=.).
单片眼镜
发表于 2025-3-26 09:55:41
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天真
发表于 2025-3-26 16:32:45
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Corroborate
发表于 2025-3-26 18:15:01
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