"polar cone" meaning in English

See polar cone in All languages combined, or Wiktionary

Noun

Forms: polar cones [plural]
Head templates: {{en-noun}} polar cone (plural polar cones)
  1. (linear algebra) Relative to a set S in Rⁿ, the set of points y such that the inner product of x and y is not positive for any point x in S. Categories (topical): Linear algebra Related terms (set of points): dual cone
    Sense id: en-polar_cone-en-noun-k0eq74W3 Categories (other): English entries with incorrect language header Topics: linear-algebra, mathematics, sciences

Inflected forms

Download JSON data for polar cone meaning in English (1.2kB)

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      "examples": [
        {
          "text": "Since a is in S and b is in Sᵒ — the polar cone of S — we know that aᵀ b ≤ 0."
        }
      ],
      "glosses": [
        "Relative to a set S in Rⁿ, the set of points y such that the inner product of x and y is not positive for any point x in S."
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        "(linear algebra) Relative to a set S in Rⁿ, the set of points y such that the inner product of x and y is not positive for any point x in S."
      ],
      "related": [
        {
          "sense": "set of points",
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      "topics": [
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        "(linear algebra) Relative to a set S in Rⁿ, the set of points y such that the inner product of x and y is not positive for any point x in S."
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 using wiktextract (f4fd8c9 and c9440ce). 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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