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  2. Binomial theorem - Wikipedia

    en.wikipedia.org/wiki/Binomial_theorem

    In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.According to the theorem, the power ⁠ (+) ⁠ expands into a polynomial with terms of the form ⁠ ⁠, where the exponents ⁠ ⁠ and ⁠ ⁠ are nonnegative integers satisfying ⁠ + = ⁠ and the coefficient ⁠ ⁠ of each term is a specific positive integer ...

  3. Accelerating expansion of the universe - Wikipedia

    en.wikipedia.org/wiki/Accelerating_expansion_of...

    Thus, an accelerating universe took a longer time to expand from 2/3 to 1 times its present size, compared to a non-accelerating universe with constant ˙ and the same present-day value of the Hubble constant. This results in a larger light-travel time, larger distance and fainter supernovae, which corresponds to the actual observations.

  4. Polynomial expansion - Wikipedia

    en.wikipedia.org/wiki/Polynomial_expansion

    In mathematics, an expansion of a product of sums expresses it as a sum of products by using the fact that multiplication distributes over addition. Expansion of a polynomial expression can be obtained by repeatedly replacing subexpressions that multiply two other subexpressions, at least one of which is an addition, by the equivalent sum of products, continuing until the expression becomes a ...

  5. Faulhaber's formula - Wikipedia

    en.wikipedia.org/wiki/Faulhaber's_formula

    Since a = n(n + 1)/2, these formulae show that for an odd power (greater than 1), the sum is a polynomial in n having factors n 2 and (n + 1) 2, while for an even power the polynomial has factors n, n + 1/2 and n + 1.

  6. Daughter Admits She Used to Throw Plates Away Rather Than ...

    www.aol.com/daughter-admits-she-used-throw...

    A college student has revealed a hilarious secret from her teenage years to her parents. The young woman, named Sam, shared a video on TikTok on Tuesday, Dec. 10, in which she and her parents took ...

  7. ‘Yellowstone’ fans all have the same question after the ...

    www.aol.com/yellowstone-fans-same-finale...

    The "Yellowstone" Season 5 finale just left viewers wanting more and they may just get their wish.On Dec. 15, the popular series wrapped up its fifth season with an explosive finale that killed ...

  8. It's Time to Ditch These 10 Cleaning Tips From Grandma - AOL

    www.aol.com/lifestyle/time-ditch-10-cleaning...

    We love getting advice from grandma, but some of her cleaning tricks may be outdated. We asked a cleaning pro to share the top tips to ditch once and for all.

  9. Basis set (chemistry) - Wikipedia

    en.wikipedia.org/wiki/Basis_set_(chemistry)

    Using cc-pVDZ, orbitals are [1s, 2s, 2p, 3s, 3s, 3p, 3p, 3d'] (where ' represents the added in polarisation orbitals), with 4 s orbitals (4 basis functions), 3 sets of p orbitals (3 × 3 = 9 basis functions), and 1 set of d orbitals (5 basis functions). Adding up the basis functions gives a total of 18 functions for Ar with the cc-pVDZ basis-set.

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