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Plet SsR andl di SxS- R be a by dcx,y) = |x, -y,l+|xz-Yzl for all x=CX,rx2),y=G,%]E! Then (s.d) is a metric space. function defined

Plet SsR andl di SxS- R be a by dcx,y) = |x, -y,l+|xz-Yzl for all x=CX,rx2),y=G,%]E! Then (s.d) is a metric space. function defined

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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@ Let SsRand disxS R be a function defined by dlxっ)= |x、-y+|x-ツェl frall X=CKi,*),=(るe Then (S,d) is 2 a metric spae. O Let M-R? and d': MxM R be a function defn by dcx,っ) =wax{ lx-,\zーツ メ=(X、を)フ=C) Then (M, d") is 3 %3D a metric space. Let d:RxR-R be afunction defined by doxy)=1x-zy. then R,Q) is a metric Space.
Transcribed Image Text:@ Let SsRand disxS R be a function defined by dlxっ)= |x、-y+|x-ツェl frall X=CKi,*),=(るe Then (S,d) is 2 a metric spae. O Let M-R? and d': MxM R be a function defn by dcx,っ) =wax{ lx-,\zーツ メ=(X、を)フ=C) Then (M, d") is 3 %3D a metric space. Let d:RxR-R be afunction defined by doxy)=1x-zy. then R,Q) is a metric Space.
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