• In mathematics, time-scale calculus is a unification of the theory of difference equations with that of differential equations, unifying integral and...
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  • time, the time scale beneath which quantum effects are comparable in significance to gravitational effects In mathematics: Time-scale calculus, the unification...
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  • Digital data Discrete calculus Discrete system Discretization Normalized frequency Nyquist–Shannon sampling theorem Time-scale calculus "Digital Signal Processing"...
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  • discrete-time equivalent of the Laplace transform (the s-domain or s-plane). This similarity is explored in the theory of time-scale calculus. While the...
    43 KB (5,653 words) - 14:50, 27 July 2025
  • equations as integral equations relate to differential equations. See time scale calculus for a unification of the theory of difference equations with that...
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  • Quantum calculus, sometimes called calculus without limits, is equivalent to traditional infinitesimal calculus without the notion of limits. The two...
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  • Thumbnail for Derivative
    differences. The study of differential calculus is unified with the calculus of finite differences in time scale calculus. The arithmetic derivative involves...
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  • generalized derivative of time scale calculus which unifies the forward difference operator with the derivative of standard calculus is a delta operator. In...
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    Integral (redirect from Integral calculus)
    Lebesgue integrals or time-scale calculus. An integration that is performed not over a variable (or, in physics, over a space or time dimension), but over...
    69 KB (9,288 words) - 03:06, 30 June 2025
  • called infinitesimal calculus or "the calculus of infinitesimals", it has two major branches, differential calculus and integral calculus. The former concerns...
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    topological spaces, finite metric spaces, finite topological spaces. The time scale calculus is a unification of the theory of difference equations with that...
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  • scheme Gilbreath's conjecture Sheffer sequence Summation by parts Time scale calculus Upwind differencing scheme for convection Paul Wilmott; Sam Howison;...
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  • the Z- and Laplace transforms is expanded upon in the theory of time scale calculus. The integral form of the Borel transform F ( s ) = ∫ 0 ∞ f ( z )...
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    differential equations. In time scale calculus, differential equations and difference equations are unified into dynamic equations on time scales which also includes...
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  • Thumbnail for Differential calculus
    differential calculus is a subfield of calculus that studies the rates at which quantities change. It is one of the two traditional divisions of calculus, the...
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    Commons has media related to Logarithmic scale. "GNU Emacs Calc Manual: Logarithmic Units". Gnu.org. Retrieved 2016-11-23. Non-Newtonian calculus website...
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  • and topology. List of real analysis topics Time-scale calculus – a unification of real analysis with calculus of finite differences Real multivariable function...
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  • defining the Laplacian: probabilistic, analytical or measure theoretic. Time scale calculus for dynamic equations on a cantor set. Differential geometry Discrete...
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  • physics to rationalize and predict phenomena. Theory of computation Time-scale calculus Topology Topological combinatorics the application of methods from...
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  • in systems and control Perceptual control theory Systems theory Time scale calculus C. Michael Hogan, Leda C. Patmore and Harry Seidman (1973) Statistical...
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  • Mixing (mathematics) Almost periodic function Symbolic dynamics Time scale calculus Arithmetic dynamics Sequential dynamical system Graph dynamical system...
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  • Thumbnail for Discretization
    for unsteady flow Interpolation Smoothing Stochastic simulation Time-scale calculus Analytic Sciences Corporation. Technical Staff. (1974). Applied optimal...
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  • Thumbnail for Scaling and root planing
    deep cleaning, is a procedure involving removal of dental plaque and calculus (scaling or debridement) and then smoothing, or planing, of the (exposed) surfaces...
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  • equation in discrete time differential equation in continuous time time scale calculus in combined discrete and continuous time This disambiguation page...
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  • integral equations can be unified as integral equations on time scales using time scale calculus. A summation equation compares to a difference equation...
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  • Thumbnail for Leibniz–Newton calculus controversy
    In the history of calculus, the calculus controversy (German: Prioritätsstreit, lit. 'priority dispute') was an argument between mathematicians Isaac Newton...
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  • Laplace operator (category Linear operators in calculus)
    a Laplacian is defined are: analysis on fractals, time scale calculus and discrete exterior calculus. Styer, Daniel F. (2015-12-01). "The geometrical significance...
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  • Fractional calculus is a branch of mathematical analysis that studies the several different possibilities of defining real number powers or complex number...
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  • Placement (AP) Calculus (also known as AP Calc, Calc AB / BC, AB / BC Calc or simply AB / BC) is a set of two distinct Advanced Placement calculus courses and...
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  • used to be called the absolute differential calculus (the foundation of tensor calculus), tensor calculus or tensor analysis developed by Gregorio Ricci-Curbastro...
    46 KB (7,275 words) - 11:43, 2 June 2025