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JaPeSe 1.0

Par Gérard Vidal - Date de création : 07/10/2009 16:25 Dernière modification 07/10/2009 16:27

Fichier VDex de la taxonomie des mathématiques

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  <vocabName>
    <langstring language="fr">Mathématiques</langstring>
  </vocabName>
  <vocabIdentifier>JaPeSe v1.0</vocabIdentifier>
  <term>
    <termIdentifier>URN:5</termIdentifier>
    <caption>
      <langstring language="fr">Mathématiques</langstring>
    </caption>
    <term>
      <termIdentifier>URN:5:1</termIdentifier>
      <caption>
        <langstring language="fr">Algèbre</langstring>
      </caption>
      <term>
        <termIdentifier>URN:5:1:1</termIdentifier>
        <caption>
          <langstring language="fr">Logique, ensemble, raisonnement</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:1:1:1</termIdentifier>
          <caption>
            <langstring language="fr">Logique élémentaire</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:1:2</termIdentifier>
          <caption>
            <langstring language="fr">Ensemble</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:1:3</termIdentifier>
          <caption>
            <langstring language="fr">Absurde et contraposée</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:1:4</termIdentifier>
          <caption>
            <langstring language="fr">Récurrence</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:1:5</termIdentifier>
          <caption>
            <langstring language="fr">Relation binaire</langstring>
          </caption>
          <term>
            <termIdentifier>URN:5:1:1:5:1</termIdentifier>
            <caption>
              <langstring language="fr">Relation d'équivalence</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:1:1:5:2</termIdentifier>
            <caption>
              <langstring language="fr">Relation d'ordre</langstring>
            </caption>
          </term>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:1:2</termIdentifier>
        <caption>
          <langstring language="fr">Applications</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:1:2:1</termIdentifier>
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            <langstring language="fr">Surjection</langstring>
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        </term>
        <term>
          <termIdentifier>URN:5:1:2:2</termIdentifier>
          <caption>
            <langstring language="fr">Injection</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:2:3</termIdentifier>
          <caption>
            <langstring language="fr">Bijection</langstring>
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      <term>
        <termIdentifier>URN:5:1:3</termIdentifier>
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          <langstring language="fr">Dénombrement</langstring>
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        <term>
          <termIdentifier>URN:5:1:3:1</termIdentifier>
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            <langstring language="fr">Cardinal</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:3:2</termIdentifier>
          <caption>
            <langstring language="fr">Binome de Newton et combinaison</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:3:3</termIdentifier>
          <caption>
            <langstring language="fr">Arrangement</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:3:4</termIdentifier>
          <caption>
            <langstring language="fr">Permutation</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:1:4</termIdentifier>
        <caption>
          <langstring language="fr">Nombres complexes</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:1:4:1</termIdentifier>
          <caption>
            <langstring language="fr">Forme cartésienne, forme polaire</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:4:2</termIdentifier>
          <caption>
            <langstring language="fr">Racine carrée, équation du second degré</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:4:3</termIdentifier>
          <caption>
            <langstring language="fr">Racine n-ieme</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:4:4</termIdentifier>
          <caption>
            <langstring language="fr">Géométrie</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:4:5</termIdentifier>
          <caption>
            <langstring language="fr">Trigonométrie</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:1:5</termIdentifier>
        <caption>
          <langstring language="fr">Arithmétique dans Z</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:1:5:1</termIdentifier>
          <caption>
            <langstring language="fr">Divisibilité, division euclidienne</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:5:2</termIdentifier>
          <caption>
            <langstring language="fr">Sous-groupe de Z</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:5:3</termIdentifier>
          <caption>
            <langstring language="fr">Pgcd, ppcm, algorithme d'Euclide-Bézout</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:5:4</termIdentifier>
          <caption>
            <langstring language="fr">Nombres premiers, nombres premiers entre eux</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:1:6</termIdentifier>
        <caption>
          <langstring language="fr">Polynômes, fractions rationnelles</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:1:6:1</termIdentifier>
          <caption>
            <langstring language="fr">Division euclidienne</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:6:2</termIdentifier>
          <caption>
            <langstring language="fr">PGCD, PPCM</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:6:3</termIdentifier>
          <caption>
            <langstring language="fr">Racines, décomposition en facteurs irréductibles</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:6:4</termIdentifier>
          <caption>
            <langstring language="fr">Fractions rationnelles</langstring>
          </caption>
          <term>
            <termIdentifier>URN:5:1:6:4:1</termIdentifier>
            <caption>
              <langstring language="fr">Décomposition en éléments simples</langstring>
            </caption>
          </term>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:1:7</termIdentifier>
        <caption>
          <langstring language="fr">Espace vectoriel</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:1:7:1</termIdentifier>
          <caption>
            <langstring language="fr">Sous-espace vectoriel</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:7:2</termIdentifier>
          <caption>
            <langstring language="fr">Système de vecteurs</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:7:3</termIdentifier>
          <caption>
            <langstring language="fr">Somme, somme directe</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:7:4</termIdentifier>
          <caption>
            <langstring language="fr">Base</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:7:5</termIdentifier>
          <caption>
            <langstring language="fr">Dimension</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:1:8</termIdentifier>
        <caption>
          <langstring language="fr">Application linéaire</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:1:8:1</termIdentifier>
          <caption>
            <langstring language="fr">Image et noyau</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:8:2</termIdentifier>
          <caption>
            <langstring language="fr">Théorème du rang</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:8:3</termIdentifier>
          <caption>
            <langstring language="fr">Morphismes</langstring>
          </caption>
          <term>
            <termIdentifier>URN:5:1:8:3:1</termIdentifier>
            <caption>
              <langstring language="fr">Réduction des endomorphismes</langstring>
            </caption>
            <term>
              <termIdentifier>URN:5:1:8:3:1:1</termIdentifier>
              <caption>
                <langstring language="fr">Sous-espace stable</langstring>
              </caption>
            </term>
            <term>
              <termIdentifier>URN:5:1:8:3:1:2</termIdentifier>
              <caption>
                <langstring language="fr">Valeur propre, vecteur propre</langstring>
              </caption>
            </term>
            <term>
              <termIdentifier>URN:5:1:8:3:1:3</termIdentifier>
              <caption>
                <langstring language="fr">Diagonalisation</langstring>
              </caption>
            </term>
            <term>
              <termIdentifier>URN:5:1:8:3:1:4</termIdentifier>
              <caption>
                <langstring language="fr">Trigonalisation</langstring>
              </caption>
            </term>
            <term>
              <termIdentifier>URN:5:1:8:3:1:5</termIdentifier>
              <caption>
                <langstring language="fr">Réduction de Jordan</langstring>
              </caption>
            </term>
          </term>
          <term>
            <termIdentifier>URN:5:1:8:3:2</termIdentifier>
            <caption>
              <langstring language="fr">Endomorphisme du plan</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:1:8:3:3</termIdentifier>
            <caption>
              <langstring language="fr">Endomorphisme auto-adjoint</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:1:8:3:4</termIdentifier>
            <caption>
              <langstring language="fr">Autres endomorphismes normaux</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:1:8:3:5</termIdentifier>
            <caption>
              <langstring language="fr">Endomorphisme orthogonal</langstring>
            </caption>
          </term>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:1:9</termIdentifier>
        <caption>
          <langstring language="fr">Matrice</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:1:9:1</termIdentifier>
          <caption>
            <langstring language="fr">Noyau, image</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:9:2</termIdentifier>
          <caption>
            <langstring language="fr">Matrice et application linéaire</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:9:3</termIdentifier>
          <caption>
            <langstring language="fr">Exemples géométriques</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:9:4</termIdentifier>
          <caption>
            <langstring language="fr">Rang</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:9:5</termIdentifier>
          <caption>
            <langstring language="fr">Inversion</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:9:6</termIdentifier>
          <caption>
            <langstring language="fr">Matrices équivalentes, matrices semblables</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:9:7</termIdentifier>
          <caption>
            <langstring language="fr">Réduction des matrices</langstring>
          </caption>
          <term>
            <termIdentifier>URN:5:1:9:7:1</termIdentifier>
            <caption>
              <langstring language="fr">Eléments propres</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:1:9:7:2</termIdentifier>
            <caption>
              <langstring language="fr">Diagonalisation</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:1:9:7:3</termIdentifier>
            <caption>
              <langstring language="fr">Trigonalisation</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:1:9:7:4</termIdentifier>
            <caption>
              <langstring language="fr">Réduction de Jordan</langstring>
            </caption>
          </term>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:1:10</termIdentifier>
        <caption>
          <langstring language="fr">Système linéaire</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:1:10:1</termIdentifier>
          <caption>
            <langstring language="fr">Rang</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:10:2</termIdentifier>
          <caption>
            <langstring language="fr">Méthode de résolution</langstring>
          </caption>
          <term>
            <termIdentifier>URN:5:1:10:2:1</termIdentifier>
            <caption>
              <langstring language="fr">Méthode directe</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:1:10:2:2</termIdentifier>
            <caption>
              <langstring language="fr">Méthode itérative</langstring>
            </caption>
          </term>
        </term>
        <term>
          <termIdentifier>URN:5:1:10:3</termIdentifier>
          <caption>
            <langstring language="fr">Applications</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:1:11</termIdentifier>
        <caption>
          <langstring language="fr">Déterminant</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:1:11:1</termIdentifier>
          <caption>
            <langstring language="fr">Forme multilinéaire</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:11:2</termIdentifier>
          <caption>
            <langstring language="fr">Calcul du déterminant</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:1:12</termIdentifier>
        <caption>
          <langstring language="fr">Réduction des endomorphismes</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:1:12:1</termIdentifier>
          <caption>
            <langstring language="fr">Sous-espace stable</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:12:2</termIdentifier>
          <caption>
            <langstring language="fr">Valeur propre, vecteur propre</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:12:3</termIdentifier>
          <caption>
            <langstring language="fr">Diagonalisation</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:12:4</termIdentifier>
          <caption>
            <langstring language="fr">Trigonalisation</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:12:5</termIdentifier>
          <caption>
            <langstring language="fr">Réduction de Jordan</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:1:13</termIdentifier>
        <caption>
          <langstring language="fr">Groupe, anneau, corps</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:1:13:1</termIdentifier>
          <caption>
            <langstring language="fr">Groupe, sous-groupe</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:13:2</termIdentifier>
          <caption>
            <langstring language="fr">Anneau</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:13:3</termIdentifier>
          <caption>
            <langstring language="fr">Idéal</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:13:4</termIdentifier>
          <caption>
            <langstring language="fr">Algèbres, corps</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:13:5</termIdentifier>
          <caption>
            <langstring language="fr">Morphisme, isomorphisme</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:1:14</termIdentifier>
        <caption>
          <langstring language="fr">Espace euclidien</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:1:14:1</termIdentifier>
          <caption>
            <langstring language="fr">Produit scalaire</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:14:2</termIdentifier>
          <caption>
            <langstring language="fr">Forme quadratique</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:14:3</termIdentifier>
          <caption>
            <langstring language="fr">Espace orthogonal</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:14:4</termIdentifier>
          <caption>
            <langstring language="fr">Projection, symétrie</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:14:5</termIdentifier>
          <caption>
            <langstring language="fr">Orthonormalisation</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:14:6</termIdentifier>
          <caption>
            <langstring language="fr">Groupe orthogonal et quaternions</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:1:15</termIdentifier>
        <caption>
          <langstring language="fr">Arithmétique</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:1:15:1</termIdentifier>
          <caption>
            <langstring language="fr">Arithmétique de Z</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:15:2</termIdentifier>
          <caption>
            <langstring language="fr">Anneau Z/nZ</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:15:3</termIdentifier>
          <caption>
            <langstring language="fr">Groupes finis commutatifs</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:15:4</termIdentifier>
          <caption>
            <langstring language="fr">Arithmétique de K[X]</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:15:5</termIdentifier>
          <caption>
            <langstring language="fr">Corps finis</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:1:16</termIdentifier>
        <caption>
          <langstring language="fr">Théorie des groupes </langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:1:16:1</termIdentifier>
          <caption>
            <langstring language="fr">Groupe quotient</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:16:2</termIdentifier>
          <caption>
            <langstring language="fr">Ordre d'un élément</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:16:3</termIdentifier>
          <caption>
            <langstring language="fr">Groupe symétrique, décomposition en cycles disjoints, signature</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:16:4</termIdentifier>
          <caption>
            <langstring language="fr">Sous-groupe distingué</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:16:5</termIdentifier>
          <caption>
            <langstring language="fr">Action de groupe</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:16:6</termIdentifier>
          <caption>
            <langstring language="fr">Groupe cyclique</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:16:7</termIdentifier>
          <caption>
            <langstring language="fr">Sous-groupe de Sylow</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:1:17</termIdentifier>
        <caption>
          <langstring language="fr">Théorie de Galois</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:1:17:1</termIdentifier>
          <caption>
            <langstring language="fr">Extension de corps</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:17:2</termIdentifier>
          <caption>
            <langstring language="fr">Groupe de Galois</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:1:18</termIdentifier>
        <caption>
          <langstring language="fr">Topologie</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:1:18:1</termIdentifier>
          <caption>
            <langstring language="fr">Espace topologique</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:18:2</termIdentifier>
          <caption>
            <langstring language="fr">Espace métrique</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:18:3</termIdentifier>
          <caption>
            <langstring language="fr">Compacité</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:18:4</termIdentifier>
          <caption>
            <langstring language="fr">Continuité</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:18:5</termIdentifier>
          <caption>
            <langstring language="fr">Application linéaire bornée</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:18:6</termIdentifier>
          <caption>
            <langstring language="fr">Espace vectoriel normé</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:18:7</termIdentifier>
          <caption>
            <langstring language="fr">Espace de Banach</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:18:8</termIdentifier>
          <caption>
            <langstring language="fr">Espace de Hilbert</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:1:18:9</termIdentifier>
          <caption>
            <langstring language="fr">Dualité, topologie faible</langstring>
          </caption>
        </term>
      </term>
    </term>
    <term>
      <termIdentifier>URN:5:2</termIdentifier>
      <caption>
        <langstring language="fr">Analyse</langstring>
      </caption>
      <term>
        <termIdentifier>URN:5:2:1</termIdentifier>
        <caption>
          <langstring language="fr">Propriété de R</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:2:1:1</termIdentifier>
          <caption>
            <langstring language="fr">Nombres rationnels</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:1:2</termIdentifier>
          <caption>
            <langstring language="fr">Borne inférieure, borne supérieure</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:1:3</termIdentifier>
          <caption>
            <langstring language="fr">Approximation</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:2:2</termIdentifier>
        <caption>
          <langstring language="fr">Fonction d'une variable</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:2:2:1</termIdentifier>
          <caption>
            <langstring language="fr">Fonctions réelles</langstring>
          </caption>
          <term>
            <termIdentifier>URN:5:2:2:1:1</termIdentifier>
            <caption>
              <langstring language="fr">Continuité</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:2:1:2</termIdentifier>
            <caption>
              <langstring language="fr">Limite de fonctions</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:2:1:3</termIdentifier>
            <caption>
              <langstring language="fr">Etude de fonctions</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:2:1:4</termIdentifier>
            <caption>
              <langstring language="fr">Fonction continue par morceaux</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:2:1:5</termIdentifier>
            <caption>
              <langstring language="fr">Fonctions équivalentes, fonction négligeable</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:2:1:6</termIdentifier>
            <caption>
              <langstring language="fr">Dérivabilité</langstring>
            </caption>
          </term>
        </term>
        <term>
          <termIdentifier>URN:5:2:2:2</termIdentifier>
          <caption>
            <langstring language="fr">Fonctions circulaires et hyperboliques</langstring>
          </caption>
          <term>
            <termIdentifier>URN:5:2:2:2:1</termIdentifier>
            <caption>
              <langstring language="fr">Fonctions circulaires</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:2:2:2</termIdentifier>
            <caption>
              <langstring language="fr">Fonctions circulaires inverses</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:2:2:3</termIdentifier>
            <caption>
              <langstring language="fr">Fonctions hyperboliques</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:2:2:4</termIdentifier>
            <caption>
              <langstring language="fr">Fonctions hyperboliques inverses</langstring>
            </caption>
          </term>
        </term>
        <term>
          <termIdentifier>URN:5:2:2:3</termIdentifier>
          <caption>
            <langstring language="fr">Developpement limité</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:2:3</termIdentifier>
        <caption>
          <langstring language="fr">Suite numérique</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:2:3:1</termIdentifier>
          <caption>
            <langstring language="fr">Suite définie par une relation de récurrence</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:3:2</termIdentifier>
          <caption>
            <langstring language="fr">Convergence, limite</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:3:3</termIdentifier>
          <caption>
            <langstring language="fr">Suites équivalentes, suite négligeable</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:3:4</termIdentifier>
          <caption>
            <langstring language="fr">Suite de Cauchy</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:3:5</termIdentifier>
          <caption>
            <langstring language="fr">Suite de R^n</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:2:4</termIdentifier>
        <caption>
          <langstring language="fr">Série numérique</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:2:4:1</termIdentifier>
          <caption>
            <langstring language="fr">Série à termes positifs</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:4:2</termIdentifier>
          <caption>
            <langstring language="fr">Convergence absolue</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:4:3</termIdentifier>
          <caption>
            <langstring language="fr">Séries semi-convergentes</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:4:4</termIdentifier>
          <caption>
            <langstring language="fr">Séries alternées</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:2:5</termIdentifier>
        <caption>
          <langstring language="fr">Série entière</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:2:5:1</termIdentifier>
          <caption>
            <langstring language="fr">Convergence normale</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:5:2</termIdentifier>
          <caption>
            <langstring language="fr">Critère de Cauchy et d'Alembert</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:5:3</termIdentifier>
          <caption>
            <langstring language="fr">Rayon de convergence</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:5:4</termIdentifier>
          <caption>
            <langstring language="fr">Propriétés de la somme d'une série entière</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:5:5</termIdentifier>
          <caption>
            <langstring language="fr">Calcul de la somme d'une série entière</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:5:6</termIdentifier>
          <caption>
            <langstring language="fr">Développement en série entière</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:2:6</termIdentifier>
        <caption>
          <langstring language="fr">Série de Fourier</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:2:6:1</termIdentifier>
          <caption>
            <langstring language="fr">Calculs de coefficients</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:6:2</termIdentifier>
          <caption>
            <langstring language="fr">Théorème de Dirichlet</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:6:3</termIdentifier>
          <caption>
            <langstring language="fr">Formule de Parseval</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:2:7</termIdentifier>
        <caption>
          <langstring language="fr">Suite et série de fonctions</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:2:7:1</termIdentifier>
          <caption>
            <langstring language="fr">Convergence simple, convergence uniforme, convergence normale</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:7:2</termIdentifier>
          <caption>
            <langstring language="fr">Continuité, dérivabilité</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:2:8</termIdentifier>
        <caption>
          <langstring language="fr">Intégration</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:2:8:1</termIdentifier>
          <caption>
            <langstring language="fr">Intégrale de Riemann</langstring>
          </caption>
          <term>
            <termIdentifier>URN:5:2:8:1:1</termIdentifier>
            <caption>
              <langstring language="fr">Somme de Riemann</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:8:1:2</termIdentifier>
            <caption>
              <langstring language="fr">Intégrale généralisée</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:8:1:3</termIdentifier>
            <caption>
              <langstring language="fr">Intégrale dépendant d'un paramètre</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:8:1:4</termIdentifier>
            <caption>
              <langstring language="fr">Intégrale multiple</langstring>
            </caption>
          </term>
        </term>
        <term>
          <termIdentifier>URN:5:2:8:2</termIdentifier>
          <caption>
            <langstring language="fr">Calcul d'intégrales</langstring>
          </caption>
          <term>
            <termIdentifier>URN:5:2:8:2:1</termIdentifier>
            <caption>
              <langstring language="fr">Longueur, aire, volume</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:8:2:2</termIdentifier>
            <caption>
              <langstring language="fr">Intégration à l'aide d'une fonction auxiliaire</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:8:2:3</termIdentifier>
            <caption>
              <langstring language="fr">Changement de variables</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:8:2:4</termIdentifier>
            <caption>
              <langstring language="fr">Intégration par parties</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:8:2:5</termIdentifier>
            <caption>
              <langstring language="fr">Polynômes en sin, cos ou en sh, ch</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:8:2:6</termIdentifier>
            <caption>
              <langstring language="fr">Fraction rationnelle</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:8:2:7</termIdentifier>
            <caption>
              <langstring language="fr">Fraction rationnelle en sin, cos, ou en sh, ch</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:8:2:8</termIdentifier>
            <caption>
              <langstring language="fr">Intégrale abélienne</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:8:2:9</termIdentifier>
            <caption>
              <langstring language="fr">Primitives diverses</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:8:2:10</termIdentifier>
            <caption>
              <langstring language="fr">Intégrale impropre</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:8:2:11</termIdentifier>
            <caption>
              <langstring language="fr">Calcul approché d'intégrale</langstring>
            </caption>
          </term>
        </term>
        <term>
          <termIdentifier>URN:5:2:8:3</termIdentifier>
          <caption>
            <langstring language="fr">Théorie de la mesure, intégrale de Lebesgue</langstring>
          </caption>
          <term>
            <termIdentifier>URN:5:2:8:3:1</termIdentifier>
            <caption>
              <langstring language="fr">Mesure, fonction mesurable</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:8:3:2</termIdentifier>
            <caption>
              <langstring language="fr">Produit d'espaces mesurés</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:8:3:3</termIdentifier>
            <caption>
              <langstring language="fr">Convergence monotone</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:8:3:4</termIdentifier>
            <caption>
              <langstring language="fr">Convergence dominée</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:8:3:5</termIdentifier>
            <caption>
              <langstring language="fr">Intégrale dépendant d'un paramètre</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:8:3:6</termIdentifier>
            <caption>
              <langstring language="fr">Espace L^p</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:8:3:7</termIdentifier>
            <caption>
              <langstring language="fr">Transformée de Fourier</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:8:3:8</termIdentifier>
            <caption>
              <langstring language="fr">Convolution</langstring>
            </caption>
          </term>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:2:9</termIdentifier>
        <caption>
          <langstring language="fr">Fonctions de plusieurs variables</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:2:9:1</termIdentifier>
          <caption>
            <langstring language="fr">Limite</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:9:2</termIdentifier>
          <caption>
            <langstring language="fr">Continuité</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:9:3</termIdentifier>
          <caption>
            <langstring language="fr">Différentiabilité</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:9:4</termIdentifier>
          <caption>
            <langstring language="fr">Dérivée partielle</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:9:5</termIdentifier>
          <caption>
            <langstring language="fr">Différentielle de fonctions composées</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:2:10</termIdentifier>
        <caption>
          <langstring language="fr">Equation différentielle</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:2:10:1</termIdentifier>
          <caption>
            <langstring language="fr">Résolution d'équation différentielle du premier ordre</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:10:2</termIdentifier>
          <caption>
            <langstring language="fr">Résolution d'équation différentielle du deuxième ordre</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:10:3</termIdentifier>
          <caption>
            <langstring language="fr">Système linéaire à coefficients constants</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:10:4</termIdentifier>
          <caption>
            <langstring language="fr">Raccordement des solutions, Solution maximale</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:10:5</termIdentifier>
          <caption>
            <langstring language="fr">Théorème de Cauchy-Lipschitz</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:10:6</termIdentifier>
          <caption>
            <langstring language="fr">Etude qualitative: équilibre, stabilité</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:10:7</termIdentifier>
          <caption>
            <langstring language="fr">Equation aux dérivées partielles</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:2:11</termIdentifier>
        <caption>
          <langstring language="fr">Courbe paramétrée</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:2:11:1</termIdentifier>
          <caption>
            <langstring language="fr">Coordonnées cartésiennes</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:11:2</termIdentifier>
          <caption>
            <langstring language="fr">Coordonnées polaires, coordonnées cylindriques, coordonnées sphériques</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:11:3</termIdentifier>
          <caption>
            <langstring language="fr">Plan tangent, vecteur normal</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:2:12</termIdentifier>
        <caption>
          <langstring language="fr">Topologie</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:2:12:1</termIdentifier>
          <caption>
            <langstring language="fr">Espace topologique</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:12:2</termIdentifier>
          <caption>
            <langstring language="fr">Espace métrique</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:12:3</termIdentifier>
          <caption>
            <langstring language="fr">Compacité</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:12:4</termIdentifier>
          <caption>
            <langstring language="fr">Continuité</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:12:5</termIdentifier>
          <caption>
            <langstring language="fr">Connexité</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:12:6</termIdentifier>
          <caption>
            <langstring language="fr">Application linéaire bornée</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:12:7</termIdentifier>
          <caption>
            <langstring language="fr">Espace vectoriel normé</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:12:8</termIdentifier>
          <caption>
            <langstring language="fr">Espace de Banach</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:12:9</termIdentifier>
          <caption>
            <langstring language="fr">Espace de Hilbert</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:12:10</termIdentifier>
          <caption>
            <langstring language="fr">Dualité, topologie faible</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:2:13</termIdentifier>
        <caption>
          <langstring language="fr">Calcul différentiel</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:2:13:1</termIdentifier>
          <caption>
            <langstring language="fr">Différentiabilité, calcul de différentielles</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:13:2</termIdentifier>
          <caption>
            <langstring language="fr">Différentielle d'ordre supérieur, formule de Taylor</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:13:3</termIdentifier>
          <caption>
            <langstring language="fr">Difféomorphisme, inversion locale et fonctions implicites</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:13:4</termIdentifier>
          <caption>
            <langstring language="fr">Extremum, extremum lié</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:2:14</termIdentifier>
        <caption>
          <langstring language="fr">Analyse complexe</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:2:14:1</termIdentifier>
          <caption>
            <langstring language="fr">Fonction holomorphe</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:14:2</termIdentifier>
          <caption>
            <langstring language="fr">Fonction méromorphe</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:14:3</termIdentifier>
          <caption>
            <langstring language="fr">Fonction logarithme et fonction puissance</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:14:4</termIdentifier>
          <caption>
            <langstring language="fr">Formule de Cauchy</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:14:5</termIdentifier>
          <caption>
            <langstring language="fr">Singularité</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:14:6</termIdentifier>
          <caption>
            <langstring language="fr">Théorème des résidus</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:14:7</termIdentifier>
          <caption>
            <langstring language="fr">Transformée de Laplace</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:14:8</termIdentifier>
          <caption>
            <langstring language="fr">Transformée de Fourier</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:2:15</termIdentifier>
        <caption>
          <langstring language="fr">Analyse numérique</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:2:15:1</termIdentifier>
          <caption>
            <langstring language="fr">Interpolation polynomiale</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:15:2</termIdentifier>
          <caption>
            <langstring language="fr">Courbe de Bézier, spline</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:15:3</termIdentifier>
          <caption>
            <langstring language="fr">Intégration numérique</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:15:4</termIdentifier>
          <caption>
            <langstring language="fr">Recherche des zéros d'une fonction</langstring>
          </caption>
          <term>
            <termIdentifier>URN:5:2:15:4:1</termIdentifier>
            <caption>
              <langstring language="fr">Méthode de Newton</langstring>
            </caption>
          </term>
        </term>
        <term>
          <termIdentifier>URN:5:2:15:5</termIdentifier>
          <caption>
            <langstring language="fr">Résolution d'équation différentielle</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:15:6</termIdentifier>
          <caption>
            <langstring language="fr">Résolution de systèmes linéaires</langstring>
          </caption>
          <term>
            <termIdentifier>URN:5:2:15:6:1</termIdentifier>
            <caption>
              <langstring language="fr">Méthode directe</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:15:6:2</termIdentifier>
            <caption>
              <langstring language="fr">Méthode itérative</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:2:15:6:3</termIdentifier>
            <caption>
              <langstring language="fr">Méthode de gradient</langstring>
            </caption>
          </term>
        </term>
        <term>
          <termIdentifier>URN:5:2:15:7</termIdentifier>
          <caption>
            <langstring language="fr">Calcul de valeurs propres et de vecteurs propres</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:2:16</termIdentifier>
        <caption>
          <langstring language="fr">Optimisation</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:2:16:1</termIdentifier>
          <caption>
            <langstring language="fr">Fonction convexe</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:16:2</termIdentifier>
          <caption>
            <langstring language="fr">Multiplicateurs de Lagrange</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:16:3</termIdentifier>
          <caption>
            <langstring language="fr">Algorithme d'Uzawa</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:16:4</termIdentifier>
          <caption>
            <langstring language="fr">Algorithme du simplexe</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:2:16:5</termIdentifier>
          <caption>
            <langstring language="fr">Méthode de gradient</langstring>
          </caption>
        </term>
      </term>
    </term>
    <term>
      <termIdentifier>URN:5:3</termIdentifier>
      <caption>
        <langstring language="fr">Géométrie</langstring>
      </caption>
      <term>
        <termIdentifier>URN:5:3:1</termIdentifier>
        <caption>
          <langstring language="fr">Géométrie affine dans le plan et dans l'espace </langstring>
        </caption>
      </term>
      <term>
        <termIdentifier>URN:5:3:2</termIdentifier>
        <caption>
          <langstring language="fr">Géométrie affine euclidienne</langstring>
        </caption>
      </term>
      <term>
        <termIdentifier>URN:5:3:3</termIdentifier>
        <caption>
          <langstring language="fr">Conique</langstring>
        </caption>
      </term>
      <term>
        <termIdentifier>URN:5:3:4</termIdentifier>
        <caption>
          <langstring language="fr">Propriétés métriques des courbes planes: abscisse curviligne, courbure</langstring>
        </caption>
      </term>
      <term>
        <termIdentifier>URN:5:3:5</termIdentifier>
        <caption>
          <langstring language="fr">Analyse vectorielle: forme différentielle, champ de vecteurs, circulation</langstring>
        </caption>
      </term>
      <term>
        <termIdentifier>URN:5:3:6</termIdentifier>
        <caption>
          <langstring language="fr">Algèbre et géométrie</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:3:6:1</termIdentifier>
          <caption>
            <langstring language="fr">Isométrie euclidienne</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:3:6:2</termIdentifier>
          <caption>
            <langstring language="fr">Géométrie différentielle élémentaire de R^n</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:3:6:3</termIdentifier>
          <caption>
            <langstring language="fr">Géométrie et trigonométrie sphérique</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:3:6:4</termIdentifier>
          <caption>
            <langstring language="fr">Groupe orthogonal et quaternions</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:3:6:5</termIdentifier>
          <caption>
            <langstring language="fr">Géométrie projective</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:3:6:6</termIdentifier>
          <caption>
            <langstring language="fr">Géométrie et trigonométrie hyperbolique</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:3:7</termIdentifier>
        <caption>
          <langstring language="fr">Utilisation des nombres complexes</langstring>
        </caption>
      </term>
      <term>
        <termIdentifier>URN:5:3:8</termIdentifier>
        <caption>
          <langstring language="fr">Géométrie différentielle</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:3:8:1</termIdentifier>
          <caption>
            <langstring language="fr">Variété</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:3:8:2</termIdentifier>
          <caption>
            <langstring language="fr">Immersion, submersion, plongement</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:3:8:3</termIdentifier>
          <caption>
            <langstring language="fr">Sous-variété</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:3:8:4</termIdentifier>
          <caption>
            <langstring language="fr">Espace tangent, application linéaire tangente</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:3:8:5</termIdentifier>
          <caption>
            <langstring language="fr">Champ de vecteurs</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:3:8:6</termIdentifier>
          <caption>
            <langstring language="fr">Forme différentielle</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:3:8:7</termIdentifier>
          <caption>
            <langstring language="fr">Orientation</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:3:8:8</termIdentifier>
          <caption>
            <langstring language="fr">Intégration sur les variétés</langstring>
          </caption>
        </term>
      </term>
    </term>
    <term>
      <termIdentifier>URN:5:4</termIdentifier>
      <caption>
        <langstring language="fr">Probabilités</langstring>
      </caption>
      <term>
        <termIdentifier>URN:5:4:1</termIdentifier>
        <caption>
          <langstring language="fr">Espace probabilisés</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:4:1:1</termIdentifier>
          <caption>
            <langstring language="fr">Mesure</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:4:1:2</termIdentifier>
          <caption>
            <langstring language="fr">Tribu, événement</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:4:1:3</termIdentifier>
          <caption>
            <langstring language="fr">Dénombrement</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:4:1:4</termIdentifier>
          <caption>
            <langstring language="fr">Evénements indépendants</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:4:1:5</termIdentifier>
          <caption>
            <langstring language="fr">Probabilité conditionnelle</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:4:1:6</termIdentifier>
          <caption>
            <langstring language="fr">Espérance conditionnelle</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:4:2</termIdentifier>
        <caption>
          <langstring language="fr">Variables aléatoires</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:4:2:1</termIdentifier>
          <caption>
            <langstring language="fr">Variables aléatoires discrètes</langstring>
          </caption>
          <term>
            <termIdentifier>URN:5:4:2:1:1</termIdentifier>
            <caption>
              <langstring language="fr">Fonctions de répartition</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:4:2:1:2</termIdentifier>
            <caption>
              <langstring language="fr">Lois classiques</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:4:2:1:3</termIdentifier>
            <caption>
              <langstring language="fr">Espérance, variance</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:4:2:1:4</termIdentifier>
            <caption>
              <langstring language="fr">Fonction génératrice</langstring>
            </caption>
          </term>
        </term>
        <term>
          <termIdentifier>URN:5:4:2:2</termIdentifier>
          <caption>
            <langstring language="fr">Vecteurs aléatoires discrets</langstring>
          </caption>
          <term>
            <termIdentifier>URN:5:4:2:2:1</termIdentifier>
            <caption>
              <langstring language="fr">Loi conditionnelle</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:4:2:2:2</termIdentifier>
            <caption>
              <langstring language="fr">Indépendance</langstring>
            </caption>
          </term>
        </term>
        <term>
          <termIdentifier>URN:5:4:2:3</termIdentifier>
          <caption>
            <langstring language="fr">Variables aléatoires à densité</langstring>
          </caption>
          <term>
            <termIdentifier>URN:5:4:2:3:1</termIdentifier>
            <caption>
              <langstring language="fr">Densité, fonction de répartition</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:4:2:3:2</termIdentifier>
            <caption>
              <langstring language="fr">Fonction caractéristique</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:4:2:3:3</termIdentifier>
            <caption>
              <langstring language="fr">Transformée de Laplace</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:4:2:3:4</termIdentifier>
            <caption>
              <langstring language="fr">Lois classiques</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:4:2:3:5</termIdentifier>
            <caption>
              <langstring language="fr">Espérance, variance</langstring>
            </caption>
          </term>
        </term>
        <term>
          <termIdentifier>URN:5:4:2:4</termIdentifier>
          <caption>
            <langstring language="fr">Vecteurs aléatoires à densité</langstring>
          </caption>
          <term>
            <termIdentifier>URN:5:4:2:4:1</termIdentifier>
            <caption>
              <langstring language="fr">Indépendance</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:4:2:4:2</termIdentifier>
            <caption>
              <langstring language="fr">Espérance conditionnelle, loi conditionnelle</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:4:2:4:3</termIdentifier>
            <caption>
              <langstring language="fr">Vecteurs aléatoires gaussiens</langstring>
            </caption>
          </term>
        </term>
        <term>
          <termIdentifier>URN:5:4:2:5</termIdentifier>
          <caption>
            <langstring language="fr">Inégalités de Markov et de Bienaymé-Tchébychev</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:4:2:6</termIdentifier>
          <caption>
            <langstring language="fr">Convergence de suite et séries de variables aléatoires</langstring>
          </caption>
          <term>
            <termIdentifier>URN:5:4:2:6:1</termIdentifier>
            <caption>
              <langstring language="fr">Convergence en probabilité</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:4:2:6:2</termIdentifier>
            <caption>
              <langstring language="fr">Convergence presque sure</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:4:2:6:3</termIdentifier>
            <caption>
              <langstring language="fr">Convergence en loi</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:4:2:6:4</termIdentifier>
            <caption>
              <langstring language="fr">Equi-intégrabilité, convergence Lp</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:4:2:6:5</termIdentifier>
            <caption>
              <langstring language="fr">Marche aléatoire</langstring>
            </caption>
          </term>
        </term>
        <term>
          <termIdentifier>URN:5:4:2:7</termIdentifier>
          <caption>
            <langstring language="fr">Processus</langstring>
          </caption>
          <term>
            <termIdentifier>URN:5:4:2:7:1</termIdentifier>
            <caption>
              <langstring language="fr">Chaine de Markov</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:4:2:7:2</termIdentifier>
            <caption>
              <langstring language="fr">Martingales discrètes</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:4:2:7:3</termIdentifier>
            <caption>
              <langstring language="fr">Processus de Poisson</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:4:2:7:4</termIdentifier>
            <caption>
              <langstring language="fr">Processus gaussien</langstring>
            </caption>
          </term>
        </term>
        <term>
          <termIdentifier>URN:5:4:2:8</termIdentifier>
          <caption>
            <langstring language="fr">Simulation de variables aléatoires</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:4:3</termIdentifier>
        <caption>
          <langstring language="fr">Simulation</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:4:3:1</termIdentifier>
          <caption>
            <langstring language="fr">Simulation de variables aléatoires</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:4:3:2</termIdentifier>
          <caption>
            <langstring language="fr">Méthode de Monte Carlo</langstring>
          </caption>
        </term>
      </term>
    </term>
    <term>
      <termIdentifier>URN:5:5</termIdentifier>
      <caption>
        <langstring language="fr">Statistique</langstring>
      </caption>
      <term>
        <termIdentifier>URN:5:5:1</termIdentifier>
        <caption>
          <langstring language="fr">Statistique descriptive</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:5:1:1</termIdentifier>
          <caption>
            <langstring language="fr">Représentations graphiques</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:5:1:2</termIdentifier>
          <caption>
            <langstring language="fr">Approximation au sens des moindres carrés</langstring>
          </caption>
        </term>
      </term>
      <term>
        <termIdentifier>URN:5:5:2</termIdentifier>
        <caption>
          <langstring language="fr">Statistique paramétrique</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:5:2:1</termIdentifier>
          <caption>
            <langstring language="fr">Estimateur</langstring>
          </caption>
          <term>
            <termIdentifier>URN:5:5:2:1:1</termIdentifier>
            <caption>
              <langstring language="fr">Maximum de vraisemblance</langstring>
            </caption>
          </term>
        </term>
        <term>
          <termIdentifier>URN:5:5:2:2</termIdentifier>
          <caption>
            <langstring language="fr">Intervalles de confiance</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:5:2:3</termIdentifier>
          <caption>
            <langstring language="fr">Tests d'hypothèse</langstring>
          </caption>
          <term>
            <termIdentifier>URN:5:5:2:3:1</termIdentifier>
            <caption>
              <langstring language="fr">Tests sur la moyenne, la variance</langstring>
            </caption>
          </term>
          <term>
            <termIdentifier>URN:5:5:2:3:2</termIdentifier>
            <caption>
              <langstring language="fr">Test du khi-deux</langstring>
            </caption>
          </term>
        </term>
      </term>
    </term>
    <term>
      <termIdentifier>URN:5:6</termIdentifier>
      <caption>
        <langstring language="fr">Sujets transversaux et transdisciplinaires</langstring>
      </caption>
      <term>
        <termIdentifier>URN:5:6:1</termIdentifier>
        <caption>
          <langstring language="fr">Histoire des mathématiques</langstring>
        </caption>
      </term>
      <term>
        <termIdentifier>URN:5:6:2</termIdentifier>
        <caption>
          <langstring language="fr">Didactique des mathématiques</langstring>
        </caption>
      </term>
      <term>
        <termIdentifier>URN:5:6:3</termIdentifier>
        <caption>
          <langstring language="fr">Outils pour les mathématiques</langstring>
        </caption>
      </term>
      <term>
        <termIdentifier>URN:5:6:4</termIdentifier>
        <caption>
          <langstring language="fr">Outils mathématiques transdisciplinaires</langstring>
        </caption>
        <term>
          <termIdentifier>URN:5:6:4:1</termIdentifier>
          <caption>
            <langstring language="fr">Physique</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:6:4:2</termIdentifier>
          <caption>
            <langstring language="fr">Biologie</langstring>
          </caption>
        </term>
        <term>
          <termIdentifier>URN:5:6:4:3</termIdentifier>
          <caption>
            <langstring language="fr">Informatique</langstring>
          </caption>
        </term>
      </term>
    </term>
  </term>
</vdex>


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