- #1
ForMyThunder
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A metric dp on the topological space X×Y, with dX(x,y) and dY(x1,y1) being metrics on X and Y respectively, is defined as
dp((x,y),(x1,y1))=((dX(x,y))p+(dY(x1,y1))p)1/p
What does each dp((x,y),(x1,y1)) mean (geometrically or visually)?
as p[tex]\rightarrow[/tex][tex]\infty[/tex],
d[tex]\infty[/tex]=max((dX(x,y),dY(x1,y1)).
What is the meaning of "max(A,B)"?
Each of the dp((x,y),(x1,y1)) are strongly equivalent; what does this mean geometically?
dp((x,y),(x1,y1))=((dX(x,y))p+(dY(x1,y1))p)1/p
What does each dp((x,y),(x1,y1)) mean (geometrically or visually)?
as p[tex]\rightarrow[/tex][tex]\infty[/tex],
d[tex]\infty[/tex]=max((dX(x,y),dY(x1,y1)).
What is the meaning of "max(A,B)"?
Each of the dp((x,y),(x1,y1)) are strongly equivalent; what does this mean geometically?