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
The answer is
(c) innocence is hard to prove without trust
Hope this helps :3
Answer:
38°
Step-by-step explanation:
∠4=∠2
∠2=∠6
∠6=38°
So ∠4=38°
50 meters per second
3600 seconds per hour
1000 meters per km
50/1000 = 0.05
1/3600 = .0002777
0.05/0.0002777 = 180km per hour
180*4 = 720km in 4 hours
Answer:
Option B
Step-by-step explanation:
Since, number of calories 'C' burned is proportional to the number of minutes (m) given to the exercise,
C ∝ m
C = km
Where k is the proportionality constant.
From the table attached,
For C = 250 calories and m = 30 minutes,
250 = 30k
k = 
= 
Therefore, equation representing this situation will be,
C = 
Option B will be the correct option.