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  2. Lookup table - Wikipedia

    en.wikipedia.org/wiki/Lookup_table

    Functions of a single variable (such as sine and cosine) may be implemented by a simple array. Functions involving two or more variables require multidimensional array indexing techniques. The latter case may thus employ a two-dimensional array of power[x][y] to replace a function to calculate x y for a limited range of x and y values ...

  3. Dynamic range - Wikipedia

    en.wikipedia.org/wiki/Dynamic_range

    Audio engineers use dynamic range to describe the ratio of the amplitude of the loudest possible undistorted signal to the noise floor, say of a microphone or loudspeaker. [18] Dynamic range is therefore the signal-to-noise ratio (SNR) for the case where the signal is the loudest possible for the system. For example, if the ceiling of a device ...

  4. Range of a function - Wikipedia

    en.wikipedia.org/wiki/Range_of_a_function

    Sometimes "range" refers to the image and sometimes to the codomain. In mathematics, the range of a function may refer to either of two closely related concepts: the codomain of the function, or; the image of the function. In some cases the codomain and the image of a function are the same set; such a function is called surjective or onto.

  5. Spurious-free dynamic range - Wikipedia

    en.wikipedia.org/wiki/Spurious-free_dynamic_range

    Spurious-free dynamic range (SFDR) is the strength ratio of the fundamental signal to the strongest spurious signal in the output. It is also defined as a measure used to specify analog-to-digital and digital-to-analog converters (ADCs and DACs, respectively) and radio receivers.

  6. Calculus of variations - Wikipedia

    en.wikipedia.org/wiki/Calculus_of_Variations

    The calculus of variations (or variational calculus) is a field of mathematical analysis that uses variations, which are small changes in functions and functionals, to find maxima and minima of functionals: mappings from a set of functions to the real numbers.

  7. Range tree - Wikipedia

    en.wikipedia.org/wiki/Range_tree

    A 1-dimensional range tree on a set of n points is a binary search tree, which can be constructed in (⁡) time. Range trees in higher dimensions are constructed recursively by constructing a balanced binary search tree on the first coordinate of the points, and then, for each vertex v in this tree, constructing a (d−1)-dimensional range tree on the points contained in the subtree of v.

  8. Dynamical system - Wikipedia

    en.wikipedia.org/wiki/Dynamical_system

    The function Φ(t,x) is called the evolution function of the dynamical system: it associates to every point x in the set X a unique image, depending on the variable t, called the evolution parameter. X is called phase space or state space , while the variable x represents an initial state of the system.

  9. List of named differential equations - Wikipedia

    en.wikipedia.org/wiki/List_of_named_differential...

    Dynamic stochastic general equilibrium [8] Feynman–Kac formula. Black–Scholes equation; Affine term structure modeling [9] Fokker–Planck equation. Dupire equation (local volatility) Hamilton–Jacobi–Bellman equation. Merton's portfolio problem; Optimal stopping; Malthusian growth model; Mean field game theory [10] Optimal rotation age