→XX Y be defined as f (a) = (f₁ (a). f₂ (a)) each a A, Then f is continuous if and only if the functions f₁: A→X and f2: A → X are
→XX Y be defined as f (a) = (f₁ (a). f₂ (a)) each a A, Then f is continuous if and only if the functions f₁: A→X and f2: A → X are
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let f: A → X × Y be defined as f (a) = (ƒ₁ (a). ƒ2 (a)) each a ¤ A, Then f is continuous if and only if the functions f₁: A→ X and f2 : A → X are
continuous.
[The maps f₁ and f2 are called co-ordinate functions of fl
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