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Matematiklوrerdag 2008 - Institut for Matematik - Aarhus Universitet

Matematiklوrerdag 2008 - Institut for Matematik - Aarhus Universitet

Matematiklوrerdag 2008 - Institut for Matematik - Aarhus Universitet

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SymmetrierEn symmetri i R n er en afstandsbevarende afbildning f : R n → R n :‖f (x) − f (y)‖ = ‖x − y‖.TheoremEn symmetri har <strong>for</strong>menf (x) = L(x) + b,hvor L er en lineær symmetri og b ∈ R n er en fast(translations)vektor.Klaus Thomsen <strong>Matematik</strong>lærerdag <strong>2008</strong>

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