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VII. Skalarprodukt og projektion – 1. Ortogonal projektion 498 Fra Cauchy-Schwarz ulighed Uddrag kvadratroden. u + v 2 ≤ u 2 + v 2 + 2u v = (u + v) 2 1.38. Trekantsulighed ☞ [LA] 13 Andre sætninger om skalarprodukt Trekantsulighed - figur Indlysende trekantsulighed u + v u v u + v ≤ u + v
1. Polære koordinater og komplekse tal VIII Appendiks 1.1. Oversigt ☞ [S] App. I, App. H.1 Nøgleord og begreber ✌ Komplekse tal ✌ Test komplekse tal ✌ Polære koordinater ✌ Kompleks polarform ✌ De Moivres sætning ✌ Test komplekse tal ✌ Komplekse rødder ✌ Kompleks eksponentialfunktion 499
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CALCULUS "SLIDES" TIL CALCULUS 1 +
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3. Generelle områder 201 4. Koordi
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Forord "Slides" til forelæsningern
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I. Differentiation - 1. Kontinuitet
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I. Differentiation - 2. Partielle a
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I. Differentiation - 3. Tangentplan
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I. Differentiation - 4. Kædereglen
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I. Differentiation - 5. Gradient 88
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I. Differentiation - 6. Maksimum/mi
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I. Differentiation - 7. Lagrangemet
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II. Integration - 1. Dobbelt integr
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II. Integration - 2. Itereret integ
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II. Integration - 3. Generelle omr
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II. Integration - 4. Koordinatskift
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III. Potensrækker - 1. l’Hospita
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III. Potensrækker - 2. Talfølger
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III. Potensrækker - 3. Potensrækk
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III. Potensrækker - 4. Taylorpolyn
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1. Grafiske/numeriske metoder IV Di
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IV. Differentialligninger - 1. Graf
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IV. Differentialligninger - 2. 1. o
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IV. Differentialligninger - 3. Gene
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1. Vektorer og matricer V Matricer
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V. Matricer - 1. Vektorer og matric
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V. Matricer - 2. Lineære afbildnin
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V. Matricer - 3. Lineære ligninger
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V. Matricer - 4. Determinanter 419
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V. Matricer - 4. Determinanter = (
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1. Egenvektorer VI Egenvektorer og
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VI. Egenvektorer og diagonalisering
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IX. Opgaver - 5. Januar 2005 600 Gr
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Litteratur • Arnold, Ordinary dif
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0-række/søjle, 423 n-te afsnitssu
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Identitetsmatricen, 383 Identitetsm
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etningsafledede, 89, 102 retningsfe
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