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  2. Linear congruential generator - Wikipedia

    en.wikipedia.org/wiki/Linear_congruential_generator

    The second row is the same generator with a seed of 3, which produces a cycle of length 2. Using a = 4 and c = 1 (bottom row) gives a cycle length of 9 with any seed in [0, 8]. A linear congruential generator (LCG) is an algorithm that yields a sequence of pseudo-randomized numbers calculated with a discontinuous piecewise linear equation.

  3. MPS (format) - Wikipedia

    en.wikipedia.org/wiki/MPS_(format)

    Sections of an MPS file are marked by so-called header cards, which are distinguished by their starting in column 1. Although it is typical to use upper-case throughout the file for historical reasons, many MPS-readers will accept mixed-case for anything except the header cards, and some allow mixed-case anywhere.

  4. PDF - Wikipedia

    en.wikipedia.org/wiki/PDF

    PDF 2.0 defines 256-bit AES encryption as the standard for PDF 2.0 files. The PDF Reference also defines ways that third parties can define their own encryption systems for PDF. PDF files may be digitally signed, to provide secure authentication; complete details on implementing digital signatures in PDF are provided in ISO 32000-2.

  5. Raising and lowering indices - Wikipedia

    en.wikipedia.org/wiki/Raising_and_lowering_indices

    For a (0,2) tensor, [1] twice contracting with the inverse metric tensor and contracting in different indices raises each index: =. Similarly, twice contracting with the metric tensor and contracting in different indices lowers each index:

  6. Mersenne Twister - Wikipedia

    en.wikipedia.org/wiki/Mersenne_Twister

    The paper claims improved equidistribution over MT and performance on an old (2008-era) GPU (Nvidia GTX260 with 192 cores) of 4.7 ms for 5×10 7 random 32-bit integers. The SFMT ( SIMD -oriented Fast Mersenne Twister) is a variant of Mersenne Twister, introduced in 2006, [ 9 ] designed to be fast when it runs on 128-bit SIMD.

  7. Mixed tensor - Wikipedia

    en.wikipedia.org/wiki/Mixed_tensor

    As an example, a mixed tensor of type (1, 2) can be obtained by raising an index of a covariant tensor of type (0, 3), =, where is the same tensor as , because =, with Kronecker δ acting here like an identity matrix.

  8. Mixed boundary condition - Wikipedia

    en.wikipedia.org/wiki/Mixed_boundary_condition

    Precisely, in a mixed boundary value problem, the solution is required to satisfy a Dirichlet or a Neumann boundary condition in a mutually exclusive way on disjoint parts of the boundary. For example, given a solution u to a partial differential equation on a domain Ω with boundary ∂Ω , it is said to satisfy a mixed boundary condition if ...

  9. Lindbladian - Wikipedia

    en.wikipedia.org/wiki/Lindbladian

    In quantum mechanics, the Gorini–Kossakowski–Sudarshan–Lindblad equation (GKSL equation, named after Vittorio Gorini, Andrzej Kossakowski, George Sudarshan and Göran Lindblad), master equation in Lindblad form, quantum Liouvillian, or Lindbladian is one of the general forms of Markovian master equations describing open quantum systems.