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  2. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Descartes's theorem (plane geometry) Descartes's theorem on total angular defect ; Diaconescu's theorem (mathematical logic) Diller–Dress theorem (field theory) Dilworth's theorem (combinatorics, order theory) Dinostratus' theorem (geometry, analysis) Dimension theorem for vector spaces (vector spaces, linear algebra) Dini's theorem

  3. List of mathematical proofs - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_proofs

    Euler's theorem; Five color theorem; Five lemma; Fundamental theorem of arithmetic; Gauss–Markov theorem (brief pointer to proof) Gödel's incompleteness theorem. Gödel's first incompleteness theorem; Gödel's second incompleteness theorem; Goodstein's theorem; Green's theorem (to do) Green's theorem when D is a simple region; Heine–Borel ...

  4. List of incomplete proofs - Wikipedia

    en.wikipedia.org/wiki/List_of_incomplete_proofs

    For example, a Fourier series of sine and cosine functions, all continuous, may converge pointwise to a discontinuous function such as a step function. Carmichael's totient function conjecture was stated as a theorem by Robert Daniel Carmichael in 1907, but in 1922 he pointed out that his proof was incomplete. As of 2016 the problem is still open.

  5. List of conjectures - Wikipedia

    en.wikipedia.org/wiki/List_of_conjectures

    algebraic geometry: ⇒Ramanujan–Petersson conjecture Proposed by André Weil. Deligne's theorems completed around 15 years of work on the general case. 1975: Henryk Hecht and Wilfried Schmid: Blattner's conjecture: representation theory for semisimple groups: 1975: William Haboush: Mumford conjecture: geometric invariant theory: Haboush's ...

  6. List of theorems called fundamental - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems_called...

    In mathematics, a fundamental theorem is a theorem which is considered to be central and conceptually important for some topic. For example, the fundamental theorem of calculus gives the relationship between differential calculus and integral calculus . [ 1 ]

  7. Category:Theorems in geometry - Wikipedia

    en.wikipedia.org/wiki/Category:Theorems_in_geometry

    Alemannisch; العربية; বাংলা; Беларуская (тарашкевіца) Català; Чӑвашла; Čeština; Deutsch; Ελληνικά; Español

  8. Category:Theorems in algebraic geometry - Wikipedia

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

    Cartan's theorems A and B; Cayley–Bacharach theorem; Chasles–Cayley–Brill formula; Chasles' theorem (geometry) Chevalley–Iwahori–Nagata theorem; Chevalley's structure theorem; Chow's lemma; Chow's moving lemma; Clifford's theorem on special divisors

  9. Descartes' theorem - Wikipedia

    en.wikipedia.org/wiki/Descartes'_theorem

    In geometry, Descartes' theorem states that for every four kissing, or mutually tangent, circles, the radii of the circles satisfy a certain quadratic equation. By solving this equation, one can construct a fourth circle tangent to three given, mutually tangent circles. The theorem is named after René Descartes, who stated it in 1643.

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