Which of the following are properties of a metric d? Select all that apply. Note: Each incorrect selection will decrease

[answerhappygod]

Which Of The Following Are Properties Of A Metric D Select All That Apply Note Each Incorrect Selection Will Decrease 1 (44.11 KiB) Viewed 49 times

Which of the following are properties of a metric d? Select all that apply. Note: Each incorrect selection will decrease your score by 1 point. A metric d must obey the triangle equality, i.e., d(x,z) = d(x,y) + d(y,z) for all x,y,z. A metric d must be symmetric , i.e., d(x,y) = d(y,x) for all x,y. A metric d must be nonnegative, i.e., d(x,y) > 0 for all x,y. A metric d must obey the equality property, i.e., if d(x,y) = d(x,z), then y = z for all x,y,z. Ametric d must be positive, i.e., d(x,y) > 0 for all x,y. A metric d must obey the triangle inequality, i.e., d(x,z) < d(x,y) + d(y,z) for all x,y,z.