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https://en.wikipedia.org › wiki › Gaussian_integer

Gaussian integer - Wikipedia

In number theory, a Gaussian integer is a complex number whose real and imaginary parts are both integers. The Gaussian integers, with ordinary addition and multiplication of complex numbers, form an integral domain, usually written as [] or []. [1]

https://en.wikipedia.org › wiki › Normal_distribution

Normal distribution - Wikipedia

In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable.

Normal distribution - Wikipedia

https://brilliant.org › wiki › gaussian-integers

Gaussian Integers | Brilliant Math & Science Wiki

Gaussian integers are complex numbers whose real and imaginary parts are both integers. The Gaussian integers, with ordinary addition and multiplication of complex numbers, form the integral domain \ (\mathbb {Z} [i]\). Formally, Gaussian integers are the set.

https://mathworld.wolfram.com › GaussianInteger.html

Gaussian Integer -- from Wolfram MathWorld

A Gaussian integer is a complex number a+bi where a and b are integers. The Gaussian integers are members of the imaginary quadratic field Q (sqrt (-1)) and form a ring often denoted Z [i], or sometimes k (i) (Hardy and Wright 1979, p. 179).

https://en.wikipedia.org › wiki › Gaussian_function

Gaussian function - Wikipedia

In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the base form = ⁡ and with parametric extension = ⁡ (()) for arbitrary real constants a, b and non-zero c.

Gaussian function - Wikipedia

https://www.random.org › gaussian-distributions

Gaussian Random Number Generator

Generate random numbers (maximum 10,000) from a Gaussian distribution. The distribution's mean should be (limits ±1,000,000) and its standard deviation (limits ±1,000,000). The numbers should have significant digits (minimum 2, maximum 20).

https://www.math.net › gaussian-distribution

Gaussian distribution - Math.net

A Gaussian distribution, also referred to as a normal distribution, is a type of continuous probability distribution that is symmetrical about its mean; most observations cluster around the mean, and the further away an observation is from the mean, the lower its probability of occurring.

Gaussian distribution - Math.net

https://encyclopediaofmath.org › wiki › Gauss_number

Gauss number - Encyclopedia of Mathematics

Gauss number. A complex integer $a+bi$, where $a$ and $b$ are arbitrary rational integers. Geometrically, the Gauss numbers form the lattice of all points with integral rational coordinates on the plane. Such numbers were first considered in 1832 by C.F. Gauss in his work on biquadratic residues.

https://mathworld.wolfram.com › GaussianPrime.html

Gaussian Prime -- from Wolfram MathWorld

The numbers of Gaussian primes with complex modulus (where the definition has been used) for , 1, ... are 0, 100, 4928, 313752, ... (OEIS A091134). The cover of Bressoud and Wagon (2000) shows an illustration of the distribution of Gaussian primes in the complex plane.