gaussian integer造句

• Alternatively, Euclid's formulae can be analyzed and proven using the Gaussian integers.
• Its double cover acts on a 28-dimensional lattice over the Gaussian integers.
• The conjecture is not valid over the larger domain of Gaussian integers.
• The right-hand side of the Pythagorean theorem may be factored in Gaussian integers:
• Any such complex torus has the Gaussian integers as endomorphism ring.
• It is an Eisenstein prime, as it is indivisible even by complex Gaussian integers.
• Many of the other applications of the Euclidean algorithm carry over to Gaussian integers.
• The period lattices are of a very special form, being proportional to the Gaussian integers.
• An example of this mapping is the norm function used to order the Gaussian integers above.
• Consider again the case of the Gaussian integers.
• In the case of the Gaussian integers ( ), the four units are,  } }.
• All Gaussian integers on such a line are integer multiples of some Gaussian integer " h ".
• This is equivalent to determining the number of Gaussian integers with norm less than a given value.
• "It's easy enough to enumerate Gaussian primes and irreducible Gaussian integers, " said the professor, Gilbert Baumslag.
• All Gaussian integers on such a line are integer multiples of some Gaussian integer " h ".
• Examples of Euclidean domains include fields, polynomial rings in one variable over a field, and the Gaussian integers.
• The first difference is that the quotients and remainders are themselves Gaussian integers, and thus are complex numbers.
• The program lasts eight weeks and brings students with no prior knowledge to topics such as Gaussian integers and quadratic reciprocity.
• In the 19th century, the Euclidean algorithm led to the development of new number systems, such as Gaussian integers and Eisenstein integers.
• In the second one ( 1832 ) he stated the biquadratic reciprocity law for the Gaussian integers and proved the supplementary formulas.