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  2. Sobol sequence - Wikipedia

    en.wikipedia.org/wiki/Sobol_sequence

    As for the generation of Sobol’ numbers, they are clearly aided by the use of Gray code () = ⌊ / ⌋ instead of n for constructing the n-th point draw. Suppose we have already generated all the Sobol’ sequence draws up to n − 1 and kept in memory the values x n −1, j for all the required dimensions.

  3. List of file signatures - Wikipedia

    en.wikipedia.org/wiki/List_of_file_signatures

    Such signatures are also known as magic numbers or magic bytes. ... Session Analysis" Training file. ... 23 20 4D 69 63 72 6F 73 6F 66 74 20 44 65 76 65 6C 6F 70 65 ...

  4. 4-Digits - Wikipedia

    en.wikipedia.org/wiki/4-Digits

    The Supreme Toto 6/58 has the highest prizes (first prize is a minimum of more than RM8.8 million) but the probability of winning is lower than the others games as there are more numbers. WTL-M Daily Derby 4D and 5D Jackpots is almost the same as the above three. It runs 4D and 5D games. 4D's are daily and monthly two 5D's.

  5. Digit ratio - Wikipedia

    en.wikipedia.org/wiki/Digit_ratio

    Researcher Marta Kowal states: "One of the general limitations of studies on the digit ratios is the high number of degrees of freedom within the 2D:4D (the right, left, and right minus left 2D:4D). Running many analyses with different predictors increases the chances of finding allegedly significant results." [4]

  6. Four-dimensional space - Wikipedia

    en.wikipedia.org/wiki/Four-dimensional_space

    Four-dimensional space (4D) is the mathematical extension of the concept of three-dimensional space (3D). Three-dimensional space is the simplest possible abstraction of the observation that one needs only three numbers, called dimensions, to describe the sizes or locations of objects in the everyday world.

  7. Analytic number theory - Wikipedia

    en.wikipedia.org/wiki/Analytic_number_theory

    In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers. [1] It is often said to have begun with Peter Gustav Lejeune Dirichlet 's 1837 introduction of Dirichlet L -functions to give the first proof of Dirichlet's theorem on arithmetic progressions .

  8. Hypercomplex number - Wikipedia

    en.wikipedia.org/wiki/Hypercomplex_number

    The complex numbers are the only 2-dimensional hypercomplex algebra that is a field. Split algebras such as the split-complex numbers that include non-real roots of 1 also contain idempotents and zero divisors (+) =, so such algebras cannot be division algebras.

  9. Rotations in 4-dimensional Euclidean space - Wikipedia

    en.wikipedia.org/wiki/Rotations_in_4-dimensional...

    SO(4) is commonly identified with the group of orientation-preserving isometric linear mappings of a 4D vector space with inner product over the real numbers onto itself. With respect to an orthonormal basis in such a space SO(4) is represented as the group of real 4th-order orthogonal matrices with determinant +1. [3]