enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. List of factorial and binomial topics - Wikipedia

    en.wikipedia.org/wiki/List_of_factorial_and...

    This is a list of factorial and binomial topics in mathematics. See also binomial (disambiguation). Abel's binomial theorem; Alternating factorial; Antichain; Beta function; Bhargava factorial; Binomial coefficient. Pascal's triangle; Binomial distribution; Binomial proportion confidence interval; Binomial-QMF (Daubechies wavelet filters ...

  3. 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 ...

  4. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Berge's theorem (graph theory) Binomial theorem (algebra, combinatorics) Bondy's theorem (graph theory, combinatorics) Bondy–Chvátal theorem (graph theory) Brooks's theorem (graph theory) Bruck–Chowla–Ryser theorem (combinatorics) Cameron–Erdős theorem (discrete mathematics) Corners theorem (arithmetic combinatorics) Courcelle's ...

  5. Falling and rising factorials - Wikipedia

    en.wikipedia.org/wiki/Falling_and_rising_factorials

    The falling factorial occurs in a formula which represents polynomials using the forward difference operator ⁡ = (+) , which in form is an exact analogue to Taylor's theorem: Compare the series expansion from umbral calculus

  6. Category:Factorial and binomial topics - Wikipedia

    en.wikipedia.org/wiki/Category:Factorial_and...

    Main page; Contents; Current events; Random article; About Wikipedia; Contact us

  7. Freshman's dream - Wikipedia

    en.wikipedia.org/wiki/Freshman's_dream

    The numerator is p factorial(!), which is divisible by p. However, when 0 < n < p, both n! and (p − n)! are coprime with p since all the factors are less than p and p is prime. Since a binomial coefficient is always an integer, the nth binomial coefficient is divisible by p and hence equal to 0 in the ring.

  8. General Leibniz rule - Wikipedia

    en.wikipedia.org/wiki/General_Leibniz_rule

    Relationship to the binomial theorem [ edit ] The Leibniz rule bears a strong resemblance to the binomial theorem , and in fact the binomial theorem can be proven directly from the Leibniz rule by taking f ( x ) = e a x {\displaystyle f(x)=e^{ax}} and g ( x ) = e b x , {\displaystyle g(x)=e^{bx},} which gives

  9. Proofs of Fermat's little theorem - Wikipedia

    en.wikipedia.org/wiki/Proofs_of_Fermat's_little...

    described in terms of the factorial function, n! = 1×2×3×⋯×n. Proof of Lemma. We consider the binomial coefficient when the exponent is a prime p: =!! ()! The binomial coefficients are all integers. The numerator contains a factor p by the definition of factorial.