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  2. Positional notation - Wikipedia

    en.wikipedia.org/wiki/Positional_notation

    Digits to the right of it are multiplied by 10 raised to a negative power or exponent. The first position to the right of the separator indicates 10 −1 (0.1), the second position 10 −2 (0.01), and so on for each successive position. As an example, the number 2674 in a base-10 numeral system is: (2 × 10 3) + (6 × 10 2) + (7 × 10 1) + (4 ...

  3. Word problem (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Word_problem_(mathematics)

    Two well-formed words v and w in W(X) denote the same value in every bounded lattice if and only if w ≤ ~ v and v ≤ ~ w; the latter conditions can be effectively decided using the above inductive definition. The table shows an example computation to show that the words xz and xz∧(x∨y) denote the

  4. Non-numerical words for quantities - Wikipedia

    en.wikipedia.org/wiki/Non-numerical_words_for...

    The English language has a number of words that denote specific or approximate quantities that are themselves not numbers. [1] Along with numerals, and special-purpose words like some, any, much, more, every, and all, they are quantifiers. Quantifiers are a kind of determiner and occur in many constructions with other determiners, like articles ...

  5. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    Integral part: if x is a real number, [] often denotes the integral part or truncation of x, that is, the integer obtained by removing all digits after the decimal mark. This notation has also been used for other variants of floor and ceiling functions .

  6. Cartesian coordinate system - Wikipedia

    en.wikipedia.org/wiki/Cartesian_coordinate_system

    In a two-dimensional cartesian plane, identify the point with coordinates (x, y) with the complex number z = x + iy. Here, i is the imaginary unit and is identified with the point with coordinates (0, 1), so it is not the unit vector in the direction of the x-axis. Since the complex numbers can be multiplied giving another complex number, this ...

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  8. Lexicographic order - Wikipedia

    en.wikipedia.org/wiki/Lexicographic_order

    That is, for any two symbols a and b in A that are not the same symbol, either a < b or b < a. The words of A are the finite sequences of symbols from A, including words of length 1 containing a single symbol, words of length 2 with 2 symbols, and so on, even including the empty sequence with no symbols at all. The lexicographical order on the ...

  9. List of undecidable problems - Wikipedia

    en.wikipedia.org/wiki/List_of_undecidable_problems

    Rule 110 - most questions involving "can property X appear later" are undecidable. The problem of determining whether a quantum mechanical system has a spectral gap. [9] [10] Finding the capacity of an information-stable finite state machine channel. [11] In network coding, determining whether a network is solvable. [12] [13]