Problem (4 points). For each of the following functions d: R2 x R² → [0, ∞), say whether d is a metric. Briefly explain your reasoning. if x=y, a. d(x, y) = 2 otherwise. b. d(x, y) = x1 +y₁| + x2 + y2| 0
Problem (4 points). For each of the following functions d: R2 x R² → [0, ∞), say whether d is a metric. Briefly explain your reasoning. if x=y, a. d(x, y) = 2 otherwise. b. d(x, y) = x1 +y₁| + x2 + y2| 0
Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:Problem 9 (4 pointe). For each of the following functions d: R2 x R² → [0, ∞),
say whether d is a metric. Briefly explain your reasoning.
{2/2
b. d(x, y) = x₁ +y₁| + x2 + y2|
a. d(x, y) =
if x=y,
otherwise.
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