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If H and K are subgroup of G, with K a normal subgroup of G, K intersect H=1 and KH=G, then G is called a semidirect product (or split extention) of K by H.
If sigma=(12) in S_n, n>=2, show that s_n is a semidirect product of A_n by <sigma>
Show that the dihedral group D_n=<a,b|a^n=b^2=1,b^-1ab=a^-1> is a semidirect product of A=<a> by B=<b>
Show that the quaternion group Q_2 cannot be expressed as a semidirect product of two non-trivial subgroups.
Verifying some important results over real valued functions - real-valued functions
Estimate the MSE, MAD, cumulative error and average error
What is the probability that all four share the same birthday? What is the probability that none of the four shares the same birthday?
Calculate the percentage of students who score less than 700
How much variation does knowledge of Age Score account for in Competence Scores?
The Rule of 70 is a mathematical approximation that calculates how long it takes for a value to double. Examples are as varied as finding how long it takes the Gross Domestic Product to double
What is the standard deviation of the number of patients in the sample that will have had a medication error? What is the probability of observing one or more patients who have had medication errors in the same sample?
Application of matrices in real word problems -Five neighborhoods ( NB ) all want to raise money for a playground for their kids.
Calculate the correlation coefficient for the linear trend line forecast & describe its meaning.
Complex problems
Find the probability that a randomly selected degree is not in Business & is not in Engineering?
Find the probability of an alarm.
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