1.Let n E N. Calculate the differential of the Euclidean dot product and the norm in Rn . Express both without coordinates. Furthermore let p₁, ..., PN E Rn. Determine q with c N Σ||Pk -q||² k=1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1.Let n E N. Calculate the differential of the Euclidean dot product and the norm in Rh
Express both without coordinates. Furthermore let p₁, ..., PN E Rn. Determine q with
3
Ĉ
N
Σllpa - q|12
k=1
Show Transcribed Text
minimal
2. Let a € (0; ∞). Compute inf(R² \ B(0, a)) for
f(x,y) = x²+y²-1-In((x + y)²+1) Vx, y € R².
Transcribed Image Text:1.Let n E N. Calculate the differential of the Euclidean dot product and the norm in Rh Express both without coordinates. Furthermore let p₁, ..., PN E Rn. Determine q with 3 Ĉ N Σllpa - q|12 k=1 Show Transcribed Text minimal 2. Let a € (0; ∞). Compute inf(R² \ B(0, a)) for f(x,y) = x²+y²-1-In((x + y)²+1) Vx, y € R².
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