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  2. Tombstone (typography) - Wikipedia

    en.wikipedia.org/wiki/Tombstone_(typography)

    It is inspired by the typographic practice of end marks, an element that marks the end of an article. [1] [2] In Unicode, it is represented as character U+220E ∎ END OF PROOF. Its graphic form varies, as it may be a hollow or filled rectangle or square. In AMS-LaTeX, the symbol is automatically appended at the end of a proof environment ...

  3. Milne-Thomson method for finding a holomorphic function

    en.wikipedia.org/wiki/Milne-Thomson_method_for...

    Let = + and ¯ = where and are real.. Let () = (,) + (,) be any holomorphic function.. Example 1: = (+) + Example 2: ⁡ = ⁡ ⁡ + ⁡ ⁡ In his article, [1] Milne ...

  4. Hockey-stick identity - Wikipedia

    en.wikipedia.org/wiki/Hockey-stick_identity

    Pascal's triangle, rows 0 through 7. The hockey stick identity confirms, for example: for n=6, r=2: 1+3+6+10+15=35.. In combinatorics, the hockey-stick identity, [1] Christmas stocking identity, [2] boomerang identity, Fermat's identity or Chu's Theorem, [3] states that if are integers, then

  5. Wikipedia : Manual of Style/Mathematics

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

    When the topic is a theorem, the article should provide a precise statement of the theorem. Sometimes this statement will be in the lead, for example: Lagrange's theorem, in the mathematics of group theory, states that for any finite group G, the order (number of elements) of every subgroup H of G divides the order of G.

  6. Snake lemma - Wikipedia

    en.wikipedia.org/wiki/Snake_lemma

    The snake lemma is a tool used in mathematics, particularly homological algebra, to construct long exact sequences.The snake lemma is valid in every abelian category and is a crucial tool in homological algebra and its applications, for instance in algebraic topology.

  7. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Fuchs's theorem (differential equations) Fuglede's theorem (functional analysis) Full employment theorem (theoretical computer science) Fulton–Hansen connectedness theorem (algebraic geometry) Fundamental theorem of algebra (complex analysis) Fundamental theorem of arbitrage-free pricing (financial mathematics)

  8. Ruffini's rule - Wikipedia

    en.wikipedia.org/wiki/Ruffini's_rule

    Ruffini's rule can be used when one needs the quotient of a polynomial P by a binomial of the form . (When one needs only the remainder, the polynomial remainder theorem provides a simpler method.) A typical example, where one needs the quotient, is the factorization of a polynomial p ( x ) {\displaystyle p(x)} for which one knows a root r :

  9. List of incomplete proofs - Wikipedia

    en.wikipedia.org/wiki/List_of_incomplete_proofs

    Dirichlet's theorem on arithmetic progressions. In 1808 Legendre published an attempt at a proof of Dirichlet's theorem, but as Dupré pointed out in 1859 one of the lemmas used by Legendre is false. Dirichlet gave a complete proof in 1837. The proofs of the Kronecker–Weber theorem by Kronecker (1853) and Weber (1886) both had gaps. The first ...