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  2. Well-ordering principle - Wikipedia

    en.wikipedia.org/wiki/Well-ordering_principle

    Then, by the well-ordering principle, there is a least element ; cannot be prime since a prime number itself is considered a length-one product of primes. By the definition of non-prime numbers, n {\displaystyle n} has factors a , b {\displaystyle a,b} , where a , b {\displaystyle a,b} are integers greater than one and less than n ...

  3. Positional notation - Wikipedia

    en.wikipedia.org/wiki/Positional_notation

    But if the number-base is increased to 11, say, by adding the digit "A", then the same three positions, maximized to "AAA", can represent a number as great as 1330. We could increase the number base again and assign "B" to 11, and so on (but there is also a possible encryption between number and digit in the number-digit-numeral hierarchy).

  4. Residue number system - Wikipedia

    en.wikipedia.org/wiki/Residue_number_system

    A residue numeral system (RNS) is a numeral system representing integers by their values modulo several pairwise coprime integers called the moduli. This representation is allowed by the Chinese remainder theorem, which asserts that, if M is the product of the moduli, there is, in an interval of length M, exactly one integer having any given set of modular values.

  5. Conjugate gradient method - Wikipedia

    en.wikipedia.org/wiki/Conjugate_gradient_method

    A comparison of the convergence of gradient descent with optimal step size (in green) and conjugate vector (in red) for minimizing a quadratic function associated with a given linear system. Conjugate gradient, assuming exact arithmetic, converges in at most n steps, where n is the size of the matrix of the system (here n = 2).

  6. Complex-base system - Wikipedia

    en.wikipedia.org/wiki/Complex-base_system

    In arithmetic, a complex-base system is a positional numeral system whose radix is an imaginary (proposed by Donald Knuth in 1955 [1] [2]) or complex number (proposed by S. Khmelnik in 1964 [3] and Walter F. Penney in 1965 [4] [5] [6]).

  7. Who won 'The Masked Singer'? See identities of the Buffalos ...

    www.aol.com/won-masked-singer-see-identities...

    Trio the Buffalos won Season 12 of "The Masker Singer" marking the first win from a group in the show's nearly six year run.

  8. Asymmetric numeral systems - Wikipedia

    en.wikipedia.org/wiki/Asymmetric_numeral_systems

    Asymmetric numeral systems (ANS) [1] [2] is a family of entropy encoding methods introduced by Jarosław (Jarek) Duda [3] from Jagiellonian University, used in data compression since 2014 [4] due to improved performance compared to previous methods. [5]

  9. No. 24 UNLV executes novel fake punt to perfection in LA Bowl

    www.aol.com/sports/no-24-unlv-executes-novel...

    Football is a game built on tactical innovation, and No. 24 UNLV did its part Wednesday at the LA Bowl. Facing a fourth-and-7 against Cal in the second quarter, the Rebels completely fooled the ...

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