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  2. Proof (2005 film) - Wikipedia

    en.wikipedia.org/wiki/Proof_(2005_film)

    Proof is a 2005 American drama film directed by John Madden and starring Gwyneth Paltrow, Anthony Hopkins, Jake Gyllenhaal, and Hope Davis. The screenplay was written by Rebecca Miller and David Auburn and based on Auburn's Pulitzer Prize -winning play of the same name .

  3. Proof (1991 film) - Wikipedia

    en.wikipedia.org/wiki/Proof_(1991_film)

    Proof is a 1991 Australian romantic comedy-drama film written and directed by Jocelyn Moorhouse. The film stars Hugo Weaving , Geneviève Picot and Russell Crowe . The film was released in Australia on 15 August 1991.

  4. Perron–Frobenius theorem - Wikipedia

    en.wikipedia.org/wiki/PerronFrobenius_theorem

    Let = be an positive matrix: > for ,.Then the following statements hold. There is a positive real number r, called the Perron root or the PerronFrobenius eigenvalue (also called the leading eigenvalue, principal eigenvalue or dominant eigenvalue), such that r is an eigenvalue of A and any other eigenvalue λ (possibly complex) in absolute value is strictly smaller than r, |λ| < r.

  5. Frobenius theorem - Wikipedia

    en.wikipedia.org/wiki/Frobenius_theorem

    Frobenius reciprocity theorem in group representation theory describing the reciprocity relation between restricted and induced representations on a subgroup PerronFrobenius theorem in matrix theory concerning the eigenvalues and eigenvectors of a matrix with positive real coefficients

  6. See the 'true' story behind “The Conjuring” in pictures - AOL

    www.aol.com/see-true-story-behind-conjuring...

    In The Conjuring, the Perrons are played by Hayley McFarland, Kyla Deaver, Shanley Caswell, Joey King, Mackenzie Foy, Ron Livingston, and Lili Taylor, who plays the much-tormented Carolyn. "I was ...

  7. Perron number - Wikipedia

    en.wikipedia.org/wiki/Perron_number

    In mathematics, a Perron number is an algebraic integer α which is real and greater than 1, but such that its conjugate elements are all less than α in absolute value. For example, the larger of the two roots of the irreducible polynomial x 2 − 3 x + 1 {\displaystyle x^{2}-3x+1} is a Perron number.

  8. Krein–Rutman theorem - Wikipedia

    en.wikipedia.org/wiki/Krein–Rutman_theorem

    In functional analysis, the Krein–Rutman theorem is a generalisation of the PerronFrobenius theorem to infinite-dimensional Banach spaces. [1] It was proved by Krein and Rutman in 1948. [ 2 ]

  9. 'The Conjuring' universe explained: How to watch all the ...

    www.aol.com/entertainment/conjuring-universe...

    Since the first Conjuring movie came out back in 2013, James Wan’s based-on-a-true-story tale of two paranormal investigators has haunted the horror genre like a wildly successful ghost. The ...