A Gaussian integer is either the zero, one of the four units (±1, ±i), a Gaussian prime or composite. The article is a table of Gaussian Integers x +... 61 KB (434 words) - 17:05, 12 April 2024 |
Euclidean algorithm (section Gaussian integers) generalized in the 19th century to other types of numbers, such as Gaussian integers and polynomials of one variable. This led to modern abstract algebraic... 123 KB (15,118 words) - 06:23, 9 April 2024 |
of a prime Gaussian integer if the hypotenuse is prime. If the Gaussian integer is not prime then it is the product of two Gaussian integers p and q with... 81 KB (11,502 words) - 02:28, 12 May 2024 |
Imaginary unit (section Gaussian integers) Gaussian integers. The sum, difference, or product of Gaussian integers is also a Gaussian integer: ( a + b i ) + ( c + d i ) = ( a + c ) + ( b + d ) i... 29 KB (4,087 words) - 17:56, 12 May 2024 |
root of unity. The Eisenstein integers form a triangular lattice in the complex plane, in contrast with the Gaussian integers, which form a square lattice... 12 KB (1,643 words) - 16:32, 10 May 2024 |
of a Gaussian integer is an integer equal to the square of the absolute value of the Gaussian integer. The norm of a product of Gaussian integers is the... 35 KB (6,573 words) - 22:48, 3 May 2024 |
polynomial p(x) with integer coefficients and where anxn is the highest-degree term of p(x). Integral element Gaussian integer Eisenstein integer Root of unity... 10 KB (1,235 words) - 20:33, 6 March 2024 |
the square roots of rational integers, such as √2, and the complex number i = √−1, which generates the Gaussian integers. Another common example is the... 21 KB (2,684 words) - 13:59, 18 March 2024 |
In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the base form f ( x ) = exp ( − x 2 ) {\displaystyle f(x)=\exp(-x^{2})}... 30 KB (4,945 words) - 20:35, 22 March 2024 |