# Choisir un nombre
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## To pick a number
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# Un modèle/un schéma
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## A pattern
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# Une expression algébrique
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## An algebraic /ˌældʒɪˈbreɪɪk/ expression
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# Un paradoxe
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## A paradox /ˈpærədɒks/
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# Effectuer/réaliser un calcul
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## To carry out a computation
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# Mener une recherche
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## To carry out a research
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# Un contre-exemple
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## A counterexample
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# A mathematical statement showing that two expressions are equivalent
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## An equation
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# An equation that is true for all values of the variables
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## An identity
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# Compiler un document $\LaTeX$
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## To compile /kəmˈpaɪl/ a $\LaTeX$ document
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# Dessiner un croquis
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## Draw a sketch
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# Ranger les nombres suivants dans l'ordre croissant
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## Put the following numbers in ascending /əˈsendɪŋ/ order
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# Émettre une hypothèse
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## To make a conjecture /kənˈdʒektʃə[r]/
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# Substituer $y+5$ à $x$ dans l'équation
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## To substitute (in) $y+5$ for $x$ into the equation
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# Algorithme
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## Algorithm /ˈælɡərɪðəm/
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# Un raisonnement par récurrence contient trois étapes :
- Initialisation
- Hérédité
- Conclusion
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## A mathematical induction contains three steps
- The initial step: The proof for $n=1$
- The inductive step: The proof of recurring pattern/The proof of the induction hypothesis
- The conclusion
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# Fini(e)
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## Finite /ˈfaɪnaɪt/
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# Infini(e) (adj)
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## Infinite /ˈɪnfɪnət/
---
# Infini (nom)
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## Infinity /ɪnˈfɪnəti/
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# Supposer, présumer, croire
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## To assume
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# Revenez sur ce que vous avez fait et vérifiez vos calculs, votre travail
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## Go back and check your working
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