You know that the discrete metric only takes values of 1 and 0. Now suppose it comes from some norm ||.||. Then for any α in the underlying field of your vector space and x,y∈X, you must have that
∥α(x−y)∥=|α|∥x−y∥.
But now ||x−y|| is a fixed number and I can make α arbitrarily large and consequently the discrete metric does not come from any norm on X.
Step-by-step explanation:
hope this helps
Answer:
What are the possible answers?
Answer:
0.5 in the first box and 1 or -1 in the second
Answer:
number 1 is 2 number 2 is 15 number 4 is 30
Step-by-step explanation:
Answer:
6.04 inches.
Step-by-step explanation:
Corbin want's to make a model, in which every 100 feet would be shown by 1 inch.
The monument is 604 feet in height.
Divide 604 with 100:
604/100 = 6.04
The height of Corbin's model would thereby be 6.04 inches.
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