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In mathematics, Vieta's formulas relate the coefficients of a polynomial to sums and products of its roots. [1] They are named after François Viète (more commonly referred to by the Latinised form of his name, "Franciscus Vieta").
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.
In mathematics, a univariate ... The root separation of a polynomial is the minimal distance between two roots, ... that is the sum of the bitsize of its coefficients.
The digital root (also repeated digital sum) of a natural number in a given radix is the (single digit) value obtained by an iterative process of summing digits, on each iteration using the result from the previous iteration to compute a digit sum. The process continues until a single-digit number is reached.
In mathematics, a root system is a ... is most easily described as the set of integer vectors in R n+1 whose components sum to zero. The A 2 root lattice is ...
In mathematics, Newton's identities, also known as the Girard–Newton formulae, give relations between two types of symmetric polynomials, namely between power sums and elementary symmetric polynomials.
The sum of a root and its conjugate is twice its real part. These three sums are the three real roots of the cubic polynomial +, and the primitive seventh roots of unity are , where r runs over the roots of the above polynomial. As for every cubic polynomial, these roots may be expressed in terms of square and cube roots.
This list of mathematical series contains formulae for finite and infinite sums. It can be used in conjunction with other tools for evaluating sums. Here, is taken to have the value