Let \ alpha \ in \ mathcal { O } _ m be primary ( and therefore relatively prime to m ), and assume that \ alpha is also relatively prime to a Then
32.
Let \ alpha \ in \ mathcal { O } _ m be primary ( and therefore relatively prime to m ), and assume that \ alpha is also relatively prime to a Then
33.
Note, however, that PFA can be combined with mixed-radix Cooley Tukey, with the former factorizing " N " into relatively prime components and the latter handling repeated factors.
34.
If the denominations of the coins are relatively prime numbers ( such as 2 and 5 ) then any sufficiently large amount can be changed using only these coins . ( See Coin problem .)
35.
Also, your form of the fraction is misleading, because " n " cannot always be relatively prime to 10, which we would expect from the presentation of a rational number.
36.
As mentioned earlier, since the factors of g ( x ) are relatively prime, v ( x ) has to be divisible by x ^ { 2 \ ell-1 } + 1.
37.
The idea here is that when the " v " " i " are relatively prime and much smaller than the modulus " p " this problem can be solved easily.
38.
A reduced residue system modulo " n " can be formed from a complete residue system modulo " n " by removing all integers not relatively prime to " n ".
39.
But that is merely a consequence of the original assumption, that " p " and " q " are relatively prime integers whose squares are in a ratio of 5 : 1.
40.
Begin with first term 1 and append digits to the left in binary in such a way that a 1 is placed as soon as the number so formed is relatively prime to all of its predecessors.
