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  2. Geometrical properties of polynomial roots - Wikipedia

    en.wikipedia.org/wiki/Geometrical_properties_of...

    Root-finding of polynomials – Algorithms for finding zeros of polynomials; Square-free polynomial – Polynomial with no repeated root; Vieta's formulas – Relating coefficients and roots of a polynomial; Cohn's theorem relating the roots of a self-inversive polynomial with the roots of the reciprocal polynomial of its derivative.

  3. Bézout's theorem - Wikipedia

    en.wikipedia.org/wiki/Bézout's_theorem

    The concept of multiplicity is fundamental for Bézout's theorem, as it allows having an equality instead of a much weaker inequality. Intuitively, the multiplicity of a common zero of several polynomials is the number of zeros into which the common zero can split when the coefficients are slightly changed.

  4. Multiplicity (mathematics) - Wikipedia

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

    In mathematics, the multiplicity of a member of a multiset is the number of times it appears in the multiset. For example, the number of times a given polynomial has a root at a given point is the multiplicity of that root.

  5. Zero of a function - Wikipedia

    en.wikipedia.org/wiki/Zero_of_a_function

    In various areas of mathematics, the zero set of a function is the set of all its zeros. More precisely, if f : X → R {\displaystyle f:X\to \mathbb {R} } is a real-valued function (or, more generally, a function taking values in some additive group ), its zero set is f − 1 ( 0 ) {\displaystyle f^{-1}(0)} , the inverse image of { 0 ...

  6. Daldøs - Wikipedia

    en.wikipedia.org/wiki/Daldøs

    Daldøs has much in common with some games in the sáhkku family of Sámi board games. Sáhkku is known to have been played among Sámi on the northern coast and eastern-central inland of Sápmi , far away from Jæren and Denmark.

  7. Multiset - Wikipedia

    en.wikipedia.org/wiki/Multiset

    These three multiplicities define three multisets of eigenvalues, which may be all different: Let A be a n × n matrix in Jordan normal form that has a single eigenvalue. Its multiplicity is n, its multiplicity as a root of the minimal polynomial is the size of the largest Jordan block, and its geometric multiplicity is the number of Jordan blocks.

  8. Lottery player thought he won $200 on NC scratch-off game ...

    www.aol.com/lottery-player-thought-won-200...

    At first, he thought he won $200 but then saw “all the zeros.” “I just sat there looking at it,” Parker recalled to officials. “When it finally set in, I got super excited and started ...

  9. Zeros and poles - Wikipedia

    en.wikipedia.org/wiki/Zeros_and_poles

    Its zeros in the left halfplane are all the negative even integers, and the Riemann hypothesis is the conjecture that all other zeros are along Re(z) = 1/2. In a neighbourhood of a point z 0 , {\displaystyle z_{0},} a nonzero meromorphic function f is the sum of a Laurent series with at most finite principal part (the terms with negative index ...