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:
Here you are...
Step-by-step explanation:
If you double one of the dimensions, say change one side from 2 to 4 it doubles the volume. if you were to do this to any side, say double it, it would double the volume. ... It will make the volume 4 times as much also. the volume would go from 30 to 120.
The end result of sampling is to get a representative sample, or a small collection of units or cases from a much larger collection or population. In theory, the researcher can study the smaller group and produce accurate generalizations about the larger group. Researchers focus on the specific techniques that will yield highly representative samples much so in similarities as a population. Quantitative researchers tend to use a type of sampling based on theories of probability from mathematics, called probability sampling.Sampling is the group of individuals who participate in your study. These are the individuals who will participate in a qualitative study. People who could have been participants in your study but did not actually participate are not considered part of your sample.
Answer:
80%
Step-by-step explanation:
((y2 - y1) / y1)*100 = your percentage change
(where y1=start value and y2=end value)
((36 - 20) / 20) * 100 = 80 %
The right answer is -13/12.
