Gaussian integer

English Noun en algebra Any complex number of the form a + bi, where a and b are integers. en 1997 Bernard L. Johnston; Fred Richman Numbers and Symmetry: An Introduction to Algebra https://books.google.com.au/books?id=koUfrlgsmUcC&pg=PA44&dq=%22Gaussian+integer%22%7C%22Gaussian+integers%22&hl=en&sa=X&ved=0ahUKEwiwg-nVs8npAhXXxzgGHYLsA84Q6AEIRzAE#v=onepage&q=%22Gaussian%20integer%22%7C%22Gaussian%20integers%22&f=false 44 CRC Press We could say that a Gaussian integer is larger than another if its norm is larger, that is, if its distance from the origin is larger. That's all right, although it has the peculiarity that is larger than as an integer, but smaller than as a Gaussian integer! In a way, this notion of larger makes more sense: shouldn't be considered larger than ? 2000, André Weilert, Asymptotically fast GCD Computation in , Wieb Bosma (editor), Algorithmic Number Theory: 4th International Symposium, ANTS-IV, Proceedings, Springer, Lecture Notes in Computer Science LNCS 1838, page 595, We present an asymptotically fast algorithm for the computation of the greatest common divisor (GCD) of two Gaussian integers. 2008, Timothy Gowers, June Barrow-Green, Imre Leader (editors), The Princeton Companion to Mathematics, Princeton University Press, page 319, For example, in the ring of Gaussian integers, , we have the factorizations , , , , , where all the Gaussian integer factors in brackets above are irreducible elements of the ring of Gaussian integers. Hypernyms en complex number en quadratic integer algebraic integer en Gaussian rational number, en Gaussian rational Hyponyms en Gaussian prime en integer See also en Eisenstein integer en Blum integer en eponyms en Numbers