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  2. Floor and ceiling functions - Wikipedia

    en.wikipedia.org/wiki/Floor_and_ceiling_functions

    In mathematics, the floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted ⌊x⌋ or floor(x). Similarly, the ceiling function maps x to the least integer greater than or equal to x , denoted ⌈ x ⌉ or ceil( x ) .

  3. Double exponential function - Wikipedia

    en.wikipedia.org/wiki/Double_exponential_function

    They show that such sequences can be formed by rounding to the nearest integer the values of a double exponential function with middle exponent 2. [1] Ionaşcu and Stănică describe some more general sufficient conditions for a sequence to be the floor of a double exponential sequence plus a constant.

  4. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences and ...

  5. List of mathematical functions - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_functions

    Algebraic functions are functions that can be expressed as the solution of a polynomial equation with integer coefficients.. Polynomials: Can be generated solely by addition, multiplication, and raising to the power of a positive integer.

  6. Calculus - Wikipedia

    en.wikipedia.org/wiki/Calculus

    These are objects which can be treated like real numbers but which are, in some sense, "infinitely small". For example, an infinitesimal number could be greater than 0, but less than any number in the sequence 1, 1/2, 1/3, ... and thus less than any positive real number. From this point of view, calculus is a collection of techniques for ...

  7. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    For example, 10 3 = 1000 and 10 −4 = 0.0001. Exponentiation with base 10 is used in scientific notation to denote large or small numbers. For instance, 299 792 458 m/s (the speed of light in vacuum, in metres per second ) can be written as 2.997 924 58 × 10 8 m/s and then approximated as 2.998 × 10 8 m/s .

  8. Function (mathematics) - Wikipedia

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

    The College Mathematics Journal. 20 (4): 282– 300. CiteSeerX 10.1.1.113.6352. doi:10.2307/2686848. JSTOR 2686848. Lützen, Jesper (2003). "Between rigor and applications: Developments in the concept of function in mathematical analysis". In Porter, Roy (ed.). The Cambridge History of Science: The modern physical and mathematical sciences ...

  9. Complex number - Wikipedia

    en.wikipedia.org/wiki/Complex_number

    In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation =; every complex number can be expressed in the form +, where a and b are real numbers.

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