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  2. Vanishing point - Wikipedia

    en.wikipedia.org/wiki/Vanishing_point

    The vanishing point theorem is the principal theorem in the science of perspective. It says that the image in a picture plane π of a line L in space, not parallel to the picture, is determined by its intersection with π and its vanishing point. Some authors have used the phrase, "the image of a line includes its vanishing point".

  3. List of theorems - Wikipedia

    en.wikipedia.org/wiki/List_of_theorems

    Bregman–Minc inequality (discrete mathematics) Brianchon's theorem ; British flag theorem (Euclidean geometry) Brooks's theorem (graph theory) Brouwer fixed-point theorem ; Browder–Minty theorem (operator theory) Brown's representability theorem (homotopy theory) Bruck–Chowla–Ryser theorem (combinatorics) Brun's theorem (number theory)

  4. Mathematical proof - Wikipedia

    en.wikipedia.org/wiki/Mathematical_proof

    The left-hand picture below is an example of a historic visual proof of the Pythagorean theorem in the case of the (3,4,5) triangle. Visual proof for the (3,4,5) triangle as in the Zhoubi Suanjing 500–200 BCE.

  5. 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.

  6. Category:Theorems in algebraic geometry - Wikipedia

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

    Kawamata–Viehweg vanishing theorem; Kawasaki's Riemann–Roch formula; Keel–Mori theorem; Kempf vanishing theorem; Kempf–Ness theorem; Kodaira embedding theorem; Kodaira vanishing theorem; Krivine–Stengle Positivstellensatz

  7. Horizon - Wikipedia

    en.wikipedia.org/wiki/Horizon

    The point P is the vanishing point of lines perpendicular to the picture. If S is another point on the horizon, then it is the vanishing point for all lines parallel to OS . But Brook Taylor (1719) indicated that the horizon plane determined by O and the horizon was like any other plane :

  8. 'Vanishing Point Forever' Examines the Cult Classic Movie ...

    www.aol.com/vanishing-point-forever-examines...

    The strange car-chase movie 'Vanishing Point' has had an equally strange afterlife, as detailed in this new book about the film and its star, a 1970 Dodge Challenger R/T 440.

  9. Coherent sheaf cohomology - Wikipedia

    en.wikipedia.org/wiki/Coherent_sheaf_cohomology

    Serre's vanishing theorem says that for any ample line bundle on a proper scheme over a Noetherian ring, and any coherent sheaf on , there is an integer such that for all , the sheaf is spanned by its global sections and has no cohomology in positive degrees.