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If x is a prime integer, by (4) and (8), then f ( x ) = g ( x ).
Also, p is a prime integer which is relatively prime to v, i.e., gcd v,p) = 1.
Theorem 3.5 Let f = ∏ i = 1 n p i t t, where p i is a prime integer.
Example 3.6 Let f = p 1 t 1 p 2 t 2 p 3 t 3, where p i is a prime integer.
The original representation associates with each nucleotide base a prime integer quaternion of norm 7 and involves a function that assigns to each codon, represented by three of these quaternions, another integer quaternion (amino acid type quaternion).
Assume that (A,M) is a finite unitary local commutative ring with residue field K = A M ≅ GF ( p m ) Open image in new window, where p is a prime integer and m is a positive integer.
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where p and q are relative prime integers.
Example 3.2 Let p 1, p 2, p 3 be distinct prime integers.
The RNS is defined by a set of p pairwise relatively prime integers, {m1, m2,..., m p }.
The modulation index h is equal to J/P, where J and P are relatively prime integers.
This rule doesn't work for negative integers, prime integers, some odd perfect squares, and some even perfect squares.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com