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Is it true that an infinite cyclic group may have 3 distinct generators?
A cyclic group, by definition, has only one generator. An example of an infinite cyclic group is the integers with addition. This group is generated by 1.
What is a 4th order matrix?
The order of a matrix with m rows and n columns is (m, n).
What is the mathematical formula for the number of possible relationships in a group?
N * (n-1 ) / 2
How can you find number of homomorphism between two rings?
No of homo from the group zm to the group zn is gcd(m,n) No of homo from the ring zm to the ring zn is 2^(w(n)-w(n/gcd(m,n)))
HELP How does a random number generator choose a sample of people?
If the population is of size N, then you allocate the numbers 1 to N to them: one per element of the population. Then generate random numbers in the range 1 - N. The element whose number is thrown up by the generator is in the sample. In the unlikely event that a number is repeated, you ignore the repeat and continue drawing the sample until you have the required correct number in the sample.
