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Quadratic integer

💡 Words with a Similar Meaning to "Quadratic integer"

Found via reverse dictionary — words that share a conceptual meaning.

WordDefinition
biquadratic(mathematics) Of a polynomial expression, involving only the zeroth, second, and fourth powers of a variable, as x⁴ + 3x² + 2. Sometimes extended to any expression involving the biquadrate or fourth power (but no higher powers), as x⁴ − 4x³ + 3x² − x + 1.
quadratic surdnoun(mathematics) An irrational number that is the solution of a quadratic equation of the form ax²+bx+c=0, where a, b, and c are integers and a ≠ 0.
quadratic formnoun(mathematics, number theory, algebra) A homogeneous polynomial of degree 2 in a given number of variables.
quadratic(mathematics) Of a polynomial, equation or function, second-degree: involving the second power (square) of a variable but no higher powers, as ax²+bx+c.
quadratic functionnoun(mathematics) Any function whose value is the solution of a quadratic polynomial
quadratic equationnoun(algebra) A polynomial equation of the second degree; an equation that can be rearranged in standard form as ax²+bx+c=0, where x is an unknown value, a, b, and c are known numbers, and where a does not equal zero.
quadratic formulanoun(mathematics) The formula x=(-b±√)/(2a) for finding roots of the quadratic equation.
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.
gaussian integernoun(algebra) Any complex number of the form a + bi, where a and b are integers.
quadratic fieldnoun(algebraic number theory) A number field that is an extension field of degree two over the rational numbers.
quadratic meannoun(mathematics) A type of average, calculated as the square root of the mean of the squares, i.e. Q=√x_1²+x_2²+...+x_n²/n.
imaginary numbernoun(complex analysis, broad sense) A number of the form a + bi, where a and b are real numbers and b is nonzero.
quadraticknounObsolete form of quadratic. [(mathematics) A quadratic polynomial, function or equation.]
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.
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.
complex numbernoun(complex analysis) A number of the form a + bi, where a and b are real numbers and i denotes the imaginary unit.
quadricnoun(mathematics) A surface or curve whose shape is defined in terms of a quadratic equation
hyperbolic quaternionnoun(mathematics, abstract algebra) A nonassociative algebra over the real numbers with elements of the form: q = a + bi + cj + dk, a,b,c,d {R}
quadratic reciprocitynoun(number theory) The mathematical theorem which states that, for given odd prime numbers p and q, the question of whether p is a square modulo q is equivalent to the question of whether q is a square modulo p.
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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