"orthant" meaning in Français

{
  "categories": [
    {
      "kind": "other",
      "name": "Lemmes en français",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Noms communs en français",
      "parents": [],
      "source": "w"
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    {
      "kind": "other",
      "name": "Traductions en allemand",
      "parents": [],
      "source": "w"
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    {
      "kind": "other",
      "name": "Traductions en anglais",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Traductions en italien",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "Français",
      "orig": "français",
      "parents": [],
      "source": "w"
    }
  ],
  "derived": [
    {
      "word": "orthant positif"
    },
    {
      "word": "orthant négatif"
    },
    {
      "word": "premier orthant"
    }
  ],
  "etymology_texts": [
    "(Néologisme) Composé du préfixe ortho-, et du suffixe -ant"
  ],
  "forms": [
    {
      "form": "orthants",
      "tags": [
        "plural"
      ]
    }
  ],
  "lang": "Français",
  "lang_code": "fr",
  "meronyms": [
    {
      "raw_tags": [
        "3D"
      ],
      "word": "octant"
    },
    {
      "raw_tags": [
        "2D"
      ],
      "word": "quadrant"
    },
    {
      "raw_tags": [
        "1D"
      ],
      "word": "rayon"
    },
    {
      "word": "rayon limite"
    }
  ],
  "pos": "noun",
  "pos_title": "Nom commun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "Exemples en français",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Lexique en français de l’algèbre linéaire",
          "parents": [],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "Francine Roure, Alain Butery, Mathématiques pour les sciences sociales : Convexes-optimisation, PUF, 1971, p .189",
          "text": "Cas n = 2 : l’orthant positif est le premier quadrant."
        },
        {
          "ref": "Alain Valette, Le problème de KADISON-SINGER, Séminaire Bourbaki, p. 12",
          "text": "Montrons que p est sans zéro dans l’orthant {x ≥ t}."
        },
        {
          "ref": "optimisation différentiable avec contraintes linéaires",
          "text": "Plus particulièrement, essayons de caractériser les points d’intersection avec la frontière de l’orthant."
        }
      ],
      "glosses": [
        "Partie conique d’un espace repéré dont les coordonnées des éléments suivent une contrainte."
      ],
      "id": "fr-orthant-fr-noun-YZirz~rI",
      "raw_tags": [
        "Géométrie analytique",
        "Analyse convexe",
        "Géométrie vectorielle"
      ],
      "topics": [
        "mathematics"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "\\ɔʁ.tɑ̃\\"
    },
    {
      "audio": "LL-Q150 (fra)-Lepticed7-orthant.wav",
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  ],
  "tags": [
    "masculine"
  ],
  "translations": [
    {
      "lang": "Allemand",
      "lang_code": "de",
      "word": "Orthant"
    },
    {
      "lang": "Anglais",
      "lang_code": "en",
      "word": "orthant"
    },
    {
      "lang": "Anglais",
      "lang_code": "en",
      "word": "hyperoctant"
    },
    {
      "lang": "Italien",
      "lang_code": "it",
      "tags": [
        "masculine"
      ],
      "word": "ortante"
    }
  ],
  "word": "orthant"
}

{
  "categories": [
    "Lemmes en français",
    "Noms communs en français",
    "Traductions en allemand",
    "Traductions en anglais",
    "Traductions en italien",
    "français"
  ],
  "derived": [
    {
      "word": "orthant positif"
    },
    {
      "word": "orthant négatif"
    },
    {
      "word": "premier orthant"
    }
  ],
  "etymology_texts": [
    "(Néologisme) Composé du préfixe ortho-, et du suffixe -ant"
  ],
  "forms": [
    {
      "form": "orthants",
      "tags": [
        "plural"
      ]
    }
  ],
  "lang": "Français",
  "lang_code": "fr",
  "meronyms": [
    {
      "raw_tags": [
        "3D"
      ],
      "word": "octant"
    },
    {
      "raw_tags": [
        "2D"
      ],
      "word": "quadrant"
    },
    {
      "raw_tags": [
        "1D"
      ],
      "word": "rayon"
    },
    {
      "word": "rayon limite"
    }
  ],
  "pos": "noun",
  "pos_title": "Nom commun",
  "senses": [
    {
      "categories": [
        "Exemples en français",
        "Lexique en français de l’algèbre linéaire"
      ],
      "examples": [
        {
          "ref": "Francine Roure, Alain Butery, Mathématiques pour les sciences sociales : Convexes-optimisation, PUF, 1971, p .189",
          "text": "Cas n = 2 : l’orthant positif est le premier quadrant."
        },
        {
          "ref": "Alain Valette, Le problème de KADISON-SINGER, Séminaire Bourbaki, p. 12",
          "text": "Montrons que p est sans zéro dans l’orthant {x ≥ t}."
        },
        {
          "ref": "optimisation différentiable avec contraintes linéaires",
          "text": "Plus particulièrement, essayons de caractériser les points d’intersection avec la frontière de l’orthant."
        }
      ],
      "glosses": [
        "Partie conique d’un espace repéré dont les coordonnées des éléments suivent une contrainte."
      ],
      "raw_tags": [
        "Géométrie analytique",
        "Analyse convexe",
        "Géométrie vectorielle"
      ],
      "topics": [
        "mathematics"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "\\ɔʁ.tɑ̃\\"
    },
    {
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  ],
  "tags": [
    "masculine"
  ],
  "translations": [
    {
      "lang": "Allemand",
      "lang_code": "de",
      "word": "Orthant"
    },
    {
      "lang": "Anglais",
      "lang_code": "en",
      "word": "orthant"
    },
    {
      "lang": "Anglais",
      "lang_code": "en",
      "word": "hyperoctant"
    },
    {
      "lang": "Italien",
      "lang_code": "it",
      "tags": [
        "masculine"
      ],
      "word": "ortante"
    }
  ],
  "word": "orthant"
}