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2. Cube root - Wikipedia

   en.wikipedia.org/wiki/Cube_root

   Cube root. In mathematics, a cube root of a number x is a number y such that y3 = x. All nonzero real numbers have exactly one real cube root and a pair of complex conjugate cube roots, and all nonzero complex numbers have three distinct complex cube roots. For example, the real cube root of 8, denoted , is 2, because 23 = 8, while the other ...

3. Newton's method - Wikipedia

   en.wikipedia.org/wiki/Newton's_method

   Use of Newton's method to compute square roots. Newton's method is one of many known methods of computing square roots. Given a positive number a, the problem of finding a number x such that x2 = a is equivalent to finding a root of the function f(x) = x2 − a. The Newton iteration defined by this function is given by.

4. Numerical differentiation - Wikipedia

   en.wikipedia.org/wiki/Numerical_differentiation

   Numerical differentiation. Finite difference estimation of derivative. In numerical analysis, numerical differentiation algorithms estimate the derivative of a mathematical function or function subroutine using values of the function and perhaps other knowledge about the function.

5. nth root - Wikipedia

   en.wikipedia.org/wiki/Nth_root

   In mathematics, taking the nth root is an operation involving two numbers, the radicand and the index or degree. Taking the nth root is written as , where x is the radicand and n is the index (also sometimes called the degree). This is pronounced as "the nth root of x". The definition then of an nth root of a number x is a number r (the root ...

6. Methods of computing square roots - Wikipedia

   en.wikipedia.org/wiki/Methods_of_computing...

   The first step to evaluating such a fraction to obtain a root is to do numerical substitutions for the root of the number desired, and number of denominators selected. For example, in canonical form, r {\displaystyle r} is 1 and for √ 2 , a {\displaystyle a} is 1, so the numerical continued fraction for 3 denominators is:

7. Rationalisation (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Rationalisation_(mathematics)

   Rationalisation (mathematics) In elementary algebra, root rationalisation is a process by which radicals in the denominator of an algebraic fraction are eliminated. If the denominator is a monomial in some radical, say with k < n, rationalisation consists of multiplying the numerator and the denominator by and replacing by x (this is allowed ...

8. Polynomial root-finding algorithms - Wikipedia

   en.wikipedia.org/wiki/Polynomial_root-finding...

   For finding all the roots, arguably the most reliable method is the Francis QR algorithm computing the eigenvalues of the Companion matrix corresponding to the polynomial, implemented as the standard method [1] in MATLAB. The oldest method of finding all roots is to start by finding a single root. When a root r has been found, it can be removed ...

9. Cube (algebra) - Wikipedia

   en.wikipedia.org/wiki/Cube_(algebra)

   The volume of a geometric cube is the cube of its side length, giving rise to the name. The inverse operation that consists of finding a number whose cube is n is called extracting the cube root of n. It determines the side of the cube of a given volume. It is also n raised to the one-third power. The graph of the cube function is known as the ...