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  2. Sum of radicals - Wikipedia

    en.wikipedia.org/wiki/Sum_of_radicals

    In mathematics, a sum of radicals is defined as a finite linear combination of n th roots: =, where , are natural numbers and , are real numbers.. A particular special case arising in computational complexity theory is the square-root sum problem, asking whether it is possible to determine the sign of a sum of square roots, with integer coefficients, in polynomial time.

  3. Vieta's formulas - Wikipedia

    en.wikipedia.org/wiki/Vieta's_formulas

    Vieta's formulas are frequently used with polynomials with coefficients in any integral domain R.Then, the quotients / belong to the field of fractions of R (and possibly are in R itself if happens to be invertible in R) and the roots are taken in an algebraically closed extension.

  4. Square-root sum problem - Wikipedia

    en.wikipedia.org/wiki/Square-root_sum_problem

    The main difficulty is that, in order to solve the problem, the square-roots should be computed to a high accuracy, which may require a large number of bits. The problem is mentioned in the Open Problems Garden. [4] Blomer [5] presents a polynomial-time Monte Carlo algorithm for deciding whether a

  5. Arithmetic - Wikipedia

    en.wikipedia.org/wiki/Arithmetic

    Roots are a special type of exponentiation using a fractional exponent. For example, the square root of a number is the same as raising the number to the power of 1 2 {\displaystyle {\tfrac {1}{2}}} and the cube root of a number is the same as raising the number to the power of 1 3 {\displaystyle {\tfrac {1}{3}}} .

  6. Wikipedia:Reference desk/Archives/Mathematics/2008 November ...

    en.wikipedia.org/wiki/Wikipedia:Reference_desk/...

    1.1 Sum of Roots. 6 comments. 1.2 Numbers with the sme numerals. 4 comments. 1.3 The Thinking Person's (Re-)Introduction to Probability. 7 comments. 1.4 eigenvalues.

  7. Cubic equation - Wikipedia

    en.wikipedia.org/wiki/Cubic_equation

    The other roots of the equation are obtained either by changing of cube root or, equivalently, by multiplying the cube root by a primitive cube root of unity, that is . This formula for the roots is always correct except when p = q = 0 , with the proviso that if p = 0 , the square root is chosen so that C ≠ 0 .

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  9. List of mathematical functions - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_functions

    Partition function: Order-independent count of ways to write a given positive integer as a sum of positive integers. Möbius μ function: Sum of the nth primitive roots of unity, it depends on the prime factorization of n. Prime omega functions; Chebyshev functions; Liouville function, λ(n) = (–1) Ω(n)