"two-norm" meaning in English

See two-norm in All languages combined, or Wiktionary

Noun

Forms: two-norms [plural]
Head templates: {{en-noun}} two-norm (plural two-norms)
  1. (mathematics) A measure of length given by "the square root of the squares." Denoted by ||·||₂, the two-norm of a vector ⃑v= is ||⃑v||₂=√. The two norm of an m×m matrix A is defined by max _(⃑v≠⃑0)(||A⃑v||₂)/(||⃑v||₂) where ⃑v is an m-dimensional vector that is not the zero vector. Wikipedia link: norm (mathematics) Categories (topical): Mathematics Translations (mathematical measure of length): norme [feminine] (French)

Inflected forms

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        "A measure of length given by \"the square root of the squares.\" Denoted by ||·||₂, the two-norm of a vector ⃑v= is ||⃑v||₂=√. The two norm of an m×m matrix A is defined by max _(⃑v≠⃑0)(||A⃑v||₂)/(||⃑v||₂) where ⃑v is an m-dimensional vector that is not the zero vector."
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        "(mathematics) A measure of length given by \"the square root of the squares.\" Denoted by ||·||₂, the two-norm of a vector ⃑v= is ||⃑v||₂=√. The two norm of an m×m matrix A is defined by max _(⃑v≠⃑0)(||A⃑v||₂)/(||⃑v||₂) where ⃑v is an m-dimensional vector that is not the zero vector."
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            "feminine"
          ],
          "word": "norme"
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        "(mathematics) A measure of length given by \"the square root of the squares.\" Denoted by ||·||₂, the two-norm of a vector ⃑v= is ||⃑v||₂=√. The two norm of an m×m matrix A is defined by max _(⃑v≠⃑0)(||A⃑v||₂)/(||⃑v||₂) where ⃑v is an m-dimensional vector that is not the zero vector."
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  "translations": [
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      "tags": [
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      "word": "norme"
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Download raw JSONL data for two-norm meaning in English (1.5kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-03-06 from the enwiktionary dump dated 2025-03-02 using wiktextract (b81b832 and 633533e). 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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