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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. Binomial coefficient - Wikipedia

    en.wikipedia.org/wiki/Binomial_coefficient

    In mathematics, the binomial coefficients are the positive integers that occur as coefficients in the binomial theorem. Commonly, a binomial coefficient is indexed by a pair of integers n ≥ k ≥ 0 and is written (). It is the coefficient of the x k term in the polynomial expansion of the binomial power (1 + x) n; this coefficient can be ...

  4. Binomial distribution - Wikipedia

    en.wikipedia.org/wiki/Binomial_distribution

    A Binomial distributed random variable X ~ B(n, p) can be considered as the sum of n Bernoulli distributed random variables. So the sum of two Binomial distributed random variables X ~ B(n, p) and Y ~ B(m, p) is equivalent to the sum of n + m Bernoulli distributed random variables, which means Z = X + Y ~ B(n + m, p). This can also be proven ...

  5. Table of Newtonian series - Wikipedia

    en.wikipedia.org/wiki/Table_of_Newtonian_series

    The generalized binomial theorem gives (+) = ... This formula is a special case of the kth forward difference of the monomial x n evaluated at ...

  6. Musk has until Monday to respond to SEC Twitter settlement ...

    www.aol.com/news/us-sec-extended-timeline-musk...

    The U.S. Securities and Exchange Commission has given Elon Musk until Monday to respond to an offer to resolve a probe into the billionaire's $44-billion takeover of Twitter in 2022, a source ...

  7. Gaussian binomial coefficient - Wikipedia

    en.wikipedia.org/wiki/Gaussian_binomial_coefficient

    Although the formula at first appears to be a rational function, it actually is a polynomial, because the division is exact in Z[q] All of the factors in numerator and denominator are divisible by 1 − q, and the quotient is the q-number:

  8. RSVP? Democrats are split on snubbing or showing up for ... - AOL

    www.aol.com/rsvp-democrats-split-snubbing...

    After all, Trump didn't attend Biden's inauguration after the now-president defeated him in 2020. "I've gotten sick and tired of red versus blue, Democrats versus Republicans," Donna Brazile, a ...

  9. Amy Adams Admires Her Mom for Competing in Bodybuilding After ...

    www.aol.com/amy-adams-admires-her-mom-204730282.html

    Amy Adams' mom Kathryn has always been an active multitasker.. The Nightbitch actress, 50, said on Live with Kelly and Mark that her mother not only raised seven children but did so while ...