💡 Words with a Similar Meaning to "Gaussian integer"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| gaussian primenoun | (mathematics) A Gaussian integer a + bi such that either one of a, b is zero and the absolute value of the other is a prime number of the form 4n + 3 (with n a nonnegative integer); or both are nonzero and a² + b² is a prime number (which will never be of the form 4n + 3). |
| imaginary numbernoun | (complex analysis, broad sense) A number of the form a + bi, where a and b are real numbers and b is nonzero. |
| imaginary partnoun | (complex analysis) Of a complex number a + bi, where a and b are real numbers, the value b. |
| complex numbernoun | (complex analysis) A number of the form a + bi, where a and b are real numbers and i denotes the imaginary unit. |
| affixnoun | (linguistic morphology) A bound morpheme added to a word’s stem, such as a prefix or suffix. |
| gaussian functionnoun | (mathematics) A function of the form f(x)=a· exp (-((x-b)²)/(2c²)) for arbitrary real-number constants a, b and non-zero c; used in statistics, signal processing, etc. |
| real partnoun | (complex analysis) Of a complex number a + bi, the value a. |
| algebraic integernoun | (algebra, number theory) A real or complex number (more generally, an element of a number field) which is a root of a monic polynomial whose coefficients are integers; equivalently, an algebraic number whose minimal polynomial (lowest-degree polynomial of which it is a root and whose leading coefficient is 1) has integer coefficients. |
| gaussiannoun | (statistics) The normal distribution. |
| gaussoidnoun | (mathematics) A Gaussian curve. |
| eisenstein integernoun | (algebra) A complex number of the form a+bω, where a and b are integers and ω is defined by the following two rules: (1) ω³=1 and (2) 1+ω+ω²=0; an element of the Euclidean domain ℤ[ω]. |
| quadratic integernoun | (mathematics) A number (real or complex) which is a solution to an equation of the form x²+Bx+C=0 for some integers B and C. For example 42, or 2+3i, or 1+√/2. |
| algebraic numbernoun | (algebra, number theory) A complex number (more generally, an element of a number field) that is a root of a polynomial whose coefficients are integers; equivalently, a complex number (or element of a number field) that is a root of a monic polynomial whose coefficients are rational numbers. |
| jacobi symbolnoun | (number theory) A mathematical function of integer a and odd positive integer b, generally written (a/b), based on, for each of the prime factors pᵢ of b, whether a is a quadratic residue or nonresidue modulo pᵢ. |
| gaussianizationnoun | (mathematics) Conversion to Gaussian form. |
| bicharacternoun | (mathematics) A type of bilinear complex number |
| split-complex numbernoun | (mathematics) An element of the two-dimensional algebra over the field of real numbers which contains an element ȷ ≠ 1 satisfying ȷ² = 1. |
| imaginary unitnoun | (number theory, complex analysis, quaternion theory) An imaginary number (in the case of complex numbers, usually denoted i) that is defined as a solution to the equation x²=-1. |
| absolute valuenoun | (mathematics) For a complex number a+bi, the principal square root of the sum of the squares of its real and imaginary parts, √. Denoted by vertical bars |,|. |
| biquaternionnoun | (algebra) Any of the numbers w+xi+yj+zk! where w, x, y, and z are complex numbers and the elements of {1, i, j, k} multiply as in the quaternion group. |
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