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  2. Legendre–Clebsch condition - Wikipedia

    en.wikipedia.org/wiki/Legendre–Clebsch_condition

    In optimal control, the situation is more complicated because of the possibility of a singular solution.The generalized Legendre–Clebsch condition, [1] also known as convexity, [2] is a sufficient condition for local optimality such that when the linear sensitivity of the Hamiltonian to changes in u is zero, i.e.,

  3. List of highest-grossing Tamil films - Wikipedia

    en.wikipedia.org/wiki/List_of_highest-grossing...

    The films are made primarily in the Tamil language. Chintamani (1937) and Haridas (1944) are landmark films from the early stages of Tamil cinema. Chintamani was the first major box office success, while Haridas is noted for its significant impact and long theatrical run, reflecting industry's development before its formal establishment post ...

  4. Convex function - Wikipedia

    en.wikipedia.org/wiki/Convex_function

    If the domain is just the real line, then () is just the second derivative ″ (), so the condition becomes ″ (). If m = 0 {\displaystyle m=0} then this means the Hessian is positive semidefinite (or if the domain is the real line, it means that f ″ ( x ) ≥ 0 {\displaystyle f''(x)\geq 0} ), which implies the function is convex, and ...

  5. Lists of Tamil-language films - Wikipedia

    en.wikipedia.org/wiki/Lists_of_Tamil-language_films

    The Tamil-language film industry has produced and released over 10000 films since the release of its first sound film, kalidas, in 1931.This is a master list of listings of films released from 1931 in the industry by decade of release.

  6. Second-order cone programming - Wikipedia

    en.wikipedia.org/wiki/Second-order_cone_programming

    The "second-order cone" in SOCP arises from the constraints, which are equivalent to requiring the affine function (+, +) to lie in the second-order cone in +. [ 1 ] SOCPs can be solved by interior point methods [ 2 ] and in general, can be solved more efficiently than semidefinite programming (SDP) problems. [ 3 ]

  7. List of Tamil films of 2024 - Wikipedia

    en.wikipedia.org/wiki/List_of_Tamil_films_of_2024

    Zee6 Movies [42] Eppodhum Raja: H. Murugan Viji, Deplina, Lion kumar Green Channel Movies [43] Ettum Varai Ettu: VelWishvaa Nandhakumar, Prathyankira Rose, Aadukalam Naren: ESB Creation [44] Kazhu Maram: Kottachi Annamagan: Kottachi Annamagan, Pandi Selvam, Benjamin, Tamil Bharathi Yourbackers Productions [45] Siren: Antony Bhagyaraj

  8. Hessian matrix - Wikipedia

    en.wikipedia.org/wiki/Hessian_matrix

    Equivalently, the second-order conditions that are sufficient for a local minimum or maximum can be expressed in terms of the sequence of principal (upper-leftmost) minors (determinants of sub-matrices) of the Hessian; these conditions are a special case of those given in the next section for bordered Hessians for constrained optimization—the ...

  9. List of Tamil films of 2019 - Wikipedia

    en.wikipedia.org/wiki/List_of_Tamil_films_of_2019

    Opening Title Director Cast Studio Ref J A N: 4: Dhevakottai Kadhal : A. R. Kashim: Seenu, Suvitha, Ganja Karuppu Abbas Movie Line: Maanik: Martyn: Ma Ka Pa Anand, Suza Kumar, Yogi Babu ...