In abstract algebra, a generating set of a group is a subset of that group. In that subset, every element of the group can be expressed as the combination (under the group operation) of finitely many elements of the subset and their inverses.
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.
N * (n-1 ) / 2
The order of a matrix with m rows and n columns is (m, n).
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)))
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.
some examples of symbols for permuation groups are: Sn Cn An These are the symmetric group, the cyclic group and the alternating group of order n. (Alternating group is order n!/2, n>2) One other is the Dihedral group Dn of order 2n.
Infinity Actually, The group of symmetries of a circle has elements of every finite order, as well as elements of infinite order. Each rotation of degree 360 / n , for some natural number n has an order of n.
The wind turns the rotor blades which are connected by a shaft to the generator. The wind does not 'get to' the generator, which is enclosed in a cover to protect it from the weather.
Generator coils generate the voltage, motor coils use the generated voltage.
Vector groups are used to categorize high and low voltage in transformers. The group number identifies the phase angle between configurations.
where did the fidelitys rock n roll group form? Albany, N.Y.
yes N-dubz is a British group they are from north London
There sure is, and a major connection at that.Consider a finite set of n elements. The symmetric group of this set is said to have a degree of n. The symmetric group of degree n (Sn) is the Galois group of the general polynomial of degree n. In order for there to be a formula involving radicals that solve the general polynomial of degree n, such as the quadratic equation when n = 2, that polynomial's corresponding Galois group must be solvable. S5 is not a solvable group. Therefore, the Galois group of the general polynomial of degree 5 is not solvable. Thus the general polynomial of degree 5 has no general formula to solve it using radicals.This was huge result, and one of the first real applications, for group theory, since that problem had stumped mathematicians for centuries.
An azadipeptide is any of a group of aromatic dipeptides which have an N-N group in place of the terminal amine.
f=P*N/120 f=Frequency in Hz P= No. of Poles N=Rotor Speed in Revolution per minute(rpm) for P=4 and N=3600, f comes out to be 120 Hz. So frequency of voltage produced is 120 Hz. But this is not practical. Generally 4-Pole generator has N=1500rpm(for 50 Hz) or 1800rpm for 60 Hz. Two pole generator can have N=3600rpm(f=60Hz). The most practical situation is generator having N=3600Hz with 2 Poles. Hope It will be helpful!!!
(CH3)3C- is t-butyl group. CH3CH2CH2CH2- is n-butyl group.