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  2. Langford pairing - Wikipedia

    en.wikipedia.org/wiki/Langford_pairing

    A Langford pairing for n = 4.. In combinatorial mathematics, a Langford pairing, also called a Langford sequence, is a permutation of the sequence of 2n numbers 1, 1, 2, 2, ..., n, n in which the two 1s are one unit apart, the two 2s are two units apart, and more generally the two copies of each number k are k units apart.

  3. Complex conjugate root theorem - Wikipedia

    en.wikipedia.org/wiki/Complex_conjugate_root_theorem

    The non-real factors come in pairs which when multiplied give quadratic polynomials with real coefficients. Since every polynomial with complex coefficients can be factored into 1st-degree factors (that is one way of stating the fundamental theorem of algebra ), it follows that every polynomial with real coefficients can be factored into ...

  4. Factorization - Wikipedia

    en.wikipedia.org/wiki/Factorization

    In mathematics, factorization (or factorisation, see English spelling differences) or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is an integer factorization of 15, and (x – 2)(x + 2) is a polynomial ...

  5. Amicable numbers - Wikipedia

    en.wikipedia.org/wiki/Amicable_numbers

    However, amicable numbers where the two members have different smallest prime factors do exist: there are seven such pairs known. [8] Also, every known pair shares at least one common prime factor. It is not known whether a pair of coprime amicable numbers exists, though if any does, the product of the two must be greater than 10 65.

  6. Euler's factorization method - Wikipedia

    en.wikipedia.org/wiki/Euler's_factorization_method

    Euler's factorization method is a technique for factoring a number by writing it as a sum of two squares in two different ways. For example the number can be written as + or as + and Euler's method gives the factorization =.

  7. Is a cracked egg ever safe to eat? What you must know - AOL

    www.aol.com/cracked-egg-ever-safe-eat-100041198.html

    An egg that's discovered cracked in a store should not be used, as it could be dangerous.

  8. Wikipedia : WikiProject Mathematics/Reference resources

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

    AMS: Mathematics Books Online — a small collection of online books; EMIS ELibM: Links to Mathematical Monographs and Lecture Notes — links to other resources; Alex Stefanov's list of textbooks, lecture notes and tutorials in mathematics — a comprehensive list of free books of mathematics, organised by subject; includes the AMS books

  9. Mortgage and refinance rates for Nov. 7, 2024: Average rates ...

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    Editor's note: Rates shown are as of Thursday, November 7, 2024, at 6:15 a.m. ET. APYs and promotional rates for some products can vary by region and are subject to change. Sources Mortgage ...

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