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5 Cards in this Set

  • Front
  • Back
p neighborhood
N(X,D)={y:D(x,y)<p}
taxicab metric
Dt((x1,y1),(x2,y2))=|x1-x2|+|y1-y2|
lemma 2
a set W is open in (Y,Dy) iff there exists a set U which is open in (X,D) s.t. W=Y intersect U
lemma 1
if y is an element of Y and p>0 then NDy(y,p)=Y intersect ND(y,p)
euclidean metric
De((x1,y1),(x2,y2))= sq root ((x1-y1)^2+(x2-y2)^2)