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d: R²x R² → R+ d (x, y) = ; { { min {11/2₂-2₂1, 1} if x₁ = 7₁ 1 otherwise x= (x₁, x₂), y = (y₁ Y₂) ER² thought when x not to y then it is 1? why is it that (x,y) = (y,x) can you explain y2 is not the same as x2 Pf 2₁ = y₁ => • If 24. +3₁ = so why is the min the same? min| y2-x2 != min| x2-y2 | ii) Symmetry: x = (14₁, x₂) ER², y = (2₂m₂) = R² d (x,y) = 1 = d (₁²2) 1 (kin) = min | 132-2₂111} - min {1x2₂-2₂1, 1} = d(y, 2) :: d (x,y) = d (3, ²) + X,YER² Satisfied

d: R²x R² → R+ d (x, y) = ; { { min {11/2₂-2₂1, 1} if x₁ = 7₁ 1 otherwise x= (x₁, x₂), y = (y₁ Y₂) ER² thought when x not to y then it is 1? why is it that (x,y) = (y,x) can you explain y2 is not the same as x2 Pf 2₁ = y₁ => • If 24. +3₁ = so why is the min the same? min| y2-x2 != min| x2-y2 | ii) Symmetry: x = (14₁, x₂) ER², y = (2₂m₂) = R² d (x,y) = 1 = d (₁²2) 1 (kin) = min | 132-2₂111} - min {1x2₂-2₂1, 1} = d(y, 2) :: d (x,y) = d (3, ²) + X,YER² Satisfied

Advanced Engineering Mathematics
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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d: R²x R² → R+ d (x, y) = ; { { min {11/2₂-2₂1, 1} if x₁ = 7₁ 1 otherwise x= (x₁, x₂), y = (y₁ Y₂) ER² thought when x not to y then it is 1? why is it that (x,y) = (y,x) can you explain y2 is not the same as x2 Pf 2₁ = y₁ => • If 24. +3₁ = so why is the min the same? min| y2-x2 != min| x2-y2 | ii) Symmetry: x = (14₁, x₂) ER², y = (2₂m₂) = R² d (x,y) = 1 = d (₁²2) 1 (kin) = min | 132-2₂111} - min {1x2₂-2₂1, 1} = d(y, 2) :: d (x,y) = d (3, ²) + X,YER² Satisfied
Transcribed Image Text:d: R²x R² → R+ d (x, y) = ; { { min {11/2₂-2₂1, 1} if x₁ = 7₁ 1 otherwise x= (x₁, x₂), y = (y₁ Y₂) ER² thought when x not to y then it is 1? why is it that (x,y) = (y,x) can you explain y2 is not the same as x2 Pf 2₁ = y₁ => • If 24. +3₁ = so why is the min the same? min| y2-x2 != min| x2-y2 | ii) Symmetry: x = (14₁, x₂) ER², y = (2₂m₂) = R² d (x,y) = 1 = d (₁²2) 1 (kin) = min | 132-2₂111} - min {1x2₂-2₂1, 1} = d(y, 2) :: d (x,y) = d (3, ²) + X,YER² Satisfied
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