"generic property" meaning in All languages combined

See generic property on Wiktionary

Noun [English]

Forms: generic properties [plural]
Head templates: {{en-noun}} generic property (plural generic properties)
  1. Used other than figuratively or idiomatically: see generic, property.
    Sense id: en-generic_property-en-noun-a6Q02l-m
  2. (mathematics, measure theory) A property that is true almost everywhere in a given set (i.e., the set of points at which the property is not true is either of measure zero or a subset of a set of measure zero). Categories (topical): Mathematics, Measure theory
    Sense id: en-generic_property-en-noun-q05m3DiJ Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 6 60 34 Disambiguation of Pages with 1 entry: 7 70 24 Disambiguation of Pages with entries: 7 81 13 Topics: mathematics, measure-theory, sciences
  3. (topology, algebraic geometry) A property that is true in some dense open subset of a given set. Categories (topical): Algebraic geometry, Topology
    Sense id: en-generic_property-en-noun-zxdYn6x4 Topics: algebraic-geometry, geometry, mathematics, sciences, topology
The following are not (yet) sense-disambiguated
Related terms: generic point

Inflected forms

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          "ref": "1984, D. W. Hamlyn, Metaphysics, Cambridge University Press, page 82:",
          "text": "To argue in that way, however, is not to compare like with like; it is to contrast the generic property of extension with the more specific properties of hardness, smell and colour. It is not after all clear that it loses the generic properties of smell, colour and perhaps solidity, as opposed to the more specific forms of those properties that the unmelted wax may have.",
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          "text": "1989, Thomas S. Parker, Leon O. Chua, Appendix C: Differential Topology, Practical Numerical Algorithms for Chaotic Systems, Springer, Softcover reprint, page 314,\nA property P that refers to members of a set Y is a generic property if the subset of Y whose members exhibit property P contains a dense open subset of Y.\nRemark: If P₁ and P₂ are generic properties of a set Y, then so is the property \"P₁ and P₂.\""
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          "text": "2001, Constantin I. Chueshov (translator), Igor Chueshov, Introduction to the Theory of Infinite-dimensional Dissipative Systems, [1999, Russian edition] Acta Scientific Publishing House, page 117,\nIt should be noted that if a property of a dynamical system holds for the parameters from an open and dense set in the corresponding space, then it is frequently said that this property is a generic property.\nHowever, it should be kept in mind that the generic property is not the one that holds almost always. […] Therefore, it should be remembered that generic properties are quite frequently encountered and stay stable during small perturbations of the properties of a system."
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          "ref": "2010, H. W. Broer, F. Takens, “Chapter 1: Preliminaries of Dynamical Systems Theory”, in B. Hasselblatt, H. W. Broer, F. Takens, editors, Handbook of Dynamical Systems, volume 3, Elsevier (North-Holland), page 24:",
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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