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  2. Non-integer base of numeration - Wikipedia

    en.wikipedia.org/wiki/Non-integer_base_of_numeration

    This means that the integer part of the natural logarithm of a number in base e counts the number of digits before the separating point in that number, minus one. The base e is the most economical choice of radix β > 1, [ 4 ] where the radix economy is measured as the product of the radix and the length of the string of symbols needed to ...

  3. List of numeral systems - Wikipedia

    en.wikipedia.org/wiki/List_of_numeral_systems

    This is the minimum number of characters needed to encode a 32 bit number into 5 printable characters in a process similar to MIME-64 encoding, since 85 5 is only slightly bigger than 2 32. Such method is 6.7% more efficient than MIME-64 which encodes a 24 bit number into 4 printable characters.

  4. List of numeral system topics - Wikipedia

    en.wikipedia.org/wiki/List_of_numeral_system_topics

    Cyrillic numerals – Numeral system derived from the Cyrillic script; Greek numerals – System of writing numbers using Greek letters Attic numerals – Symbolic number notation used by the ancient Greeks; Hebrew numerals – Numeral system using letters of the Hebrew alphabet

  5. Unary numeral system - Wikipedia

    en.wikipedia.org/wiki/Unary_numeral_system

    Addition and subtraction are particularly simple in the unary system, as they involve little more than string concatenation. [9] The Hamming weight or population count operation that counts the number of nonzero bits in a sequence of binary values may also be interpreted as a conversion from unary to binary numbers. [10]

  6. Unum (number format) - Wikipedia

    en.wikipedia.org/wiki/Unum_(number_format)

    Convert decimal to posit 6, 8, 16, 32; generate tables 2–17 with es 1–4. N/A N/A; interactive widget Fully tested Table generator and conversion Universal. Stillwater Supercomputing, Inc C++ template library C library Python wrapper Golang library Arbitrary precision posit float valid (p) Unum type 1 (p) Unum type 2 (p)

  7. Construction of the real numbers - Wikipedia

    en.wikipedia.org/wiki/Construction_of_the_real...

    An axiomatic definition of the real numbers consists of defining them as the elements of a complete ordered field. [2] [3] [4] This means the following: The real numbers form a set, commonly denoted , containing two distinguished elements denoted 0 and 1, and on which are defined two binary operations and one binary relation; the operations are called addition and multiplication of real ...

  8. Mixed radix - Wikipedia

    en.wikipedia.org/wiki/Mixed_radix

    A standard form for dates is 2021-04-10 16:31:15, which would be a mixed radix number by this definition, with the consideration that the quantities of days vary both per month, and with leap years. One proposed calendar instead uses base 13 months, quaternary weeks, and septenary days. A mixed radix numeral system is often best expressed with ...

  9. Cistercian numerals - Wikipedia

    en.wikipedia.org/wiki/Cistercian_numerals

    The Ciphers of the Monks: A Forgotten Number-notation of the Middle Ages, by David A. King and published in 2001, describes the Cistercian numeral system. [20] The book [21] received mixed reviews. Historian Ann Moyer lauded King for re-introducing the numerical system to a larger audience, since many had forgotten about it. [22]