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A cube root of a number x is a number y such that y3 = x. Learn how to find cube roots of real and complex numbers, their geometric and algebraic representations, and their applications in mathematics and geometry.
Learn about the origins and solutions of cubic equations, which are equations of the form ax3 + bx2 + cx + d = 0. Find out how ancient and medieval mathematicians from different cultures approached and solved cubic equations using algebra, geometry, and numerical approximations.
In numerical analysis, Halley's method is a root-finding algorithm used for functions of one real variable with a continuous second derivative. Edmond Halley was an English mathematician and astronomer who introduced the method now called by his name.
A cube is the third power of a number, denoted by a superscript 3. Learn about the cube function, the cube root, the cubic parabola, and the perfect cubes in integers and base ten.
A cubic function is a polynomial function of degree three that maps real or complex numbers to real or complex numbers. Learn about its graph, roots, critical points, inflection point, symmetry, classification, and cubic interpolation.
In the case of two nested square roots, the following theorem completely solves the problem of denesting. [2]If a and c are rational numbers and c is not the square of a rational number, there are two rational numbers x and y such that + = if and only if is the square of a rational number d.
A computable number is a real number that can be computed to arbitrary precision by a finite algorithm. Learn the definition, properties, examples and applications of computable numbers in mathematics and computer science.
Learn about the conditions and theorems for solving the congruence x3 ≡ p (mod q) in number theory. Find out how mod p, cubic residues, and cubic characters are related to Fermat, Gauss, Jacobi, and Lehmer.
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