d: R²XR² → R₁+ d(x, y) = { x = (x₁, x₂), y = (y₁ - y₂) ER² 1 1 { 132₁_2₂1,1} if x₁=3₂₁ ; 1 otherwise min 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 so why is the min the same? min| y2-x2 != min| x2-y2 | Pf 2₁=3 => If x₂ +3₁ = = Symmetry: x = (14₁x6) ER², y = (2₂²2) = R² d (x,y) = 1 = d §₁2) d(kin) = min √ 132-2₂1,1} - min {12₂-321, 1} = d(y, 2) :: d (x, y) = d (8,²) +2,YER² Satisfied I
d: R²XR² → R₁+ d(x, y) = { x = (x₁, x₂), y = (y₁ - y₂) ER² 1 1 { 132₁_2₂1,1} if x₁=3₂₁ ; 1 otherwise min 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 so why is the min the same? min| y2-x2 != min| x2-y2 | Pf 2₁=3 => If x₂ +3₁ = = Symmetry: x = (14₁x6) ER², y = (2₂²2) = R² d (x,y) = 1 = d §₁2) d(kin) = min √ 132-2₂1,1} - min {12₂-321, 1} = d(y, 2) :: d (x, y) = d (8,²) +2,YER² Satisfied I
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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Question
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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