Quantum calculus, sometimes called calculus without limits, is equivalent to traditional infinitesimal calculus without the notion of limits. The two...
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Quantum stochastic calculus is a generalization of stochastic calculus to noncommuting variables. The tools provided by quantum stochastic calculus are...
19 KB (3,218 words) - 23:03, 3 October 2022
standard quantum computational models (such as the quantum Turing machine or the quantum circuit model). Therefore, Maymin's lambda-q calculus is probably...
41 KB (4,217 words) - 06:47, 19 August 2024
In quantum geometry or noncommutative geometry a quantum differential calculus or noncommutative differential structure on an algebra A {\displaystyle...
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of quantum circuit notation. The ZX-calculus was first introduced by Bob Coecke and Ross Duncan in 2008 as an extension of the categorical quantum mechanics...
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Q-derivative (category Differential calculus)
In mathematics, in the area of combinatorics and quantum calculus, the q-derivative, or Jackson derivative, is a q-analog of the ordinary derivative, introduced...
11 KB (1,782 words) - 04:34, 18 March 2024
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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three most popular examples of calculus on time scales are differential calculus, difference calculus, and quantum calculus. Dynamic equations on a time...
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The term vector calculus is sometimes used as a synonym for the broader subject of multivariable calculus, which spans vector calculus as well as partial...
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mathematics of general relativity), quantum field theory, and machine learning. Working with a main proponent of the exterior calculus Élie Cartan, the influential...
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Quantum entanglement is the phenomenon of a group of particles being generated, interacting, or sharing spatial proximity in such a way that the quantum...
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The quantum mind or quantum consciousness is a group of hypotheses proposing that local physical laws and interactions from classical mechanics or connections...
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1098/rspa.1927.0012. ISSN 0950-1207. Kuypers, Samuel (2022). "The quantum theory of time: a calculus for q-numbers". Proceedings of the Royal Society A: Mathematical...
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Mathematics of Classical and Quantum Physics (Revised ed.). Dover Publications. ISBN 978-0486671642. Weinstock, Robert (1974). Calculus of Variations with Applications...
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resulting in a much more compact calculus. In particular, the ZX-calculus has sprung forth from categorical quantum mechanics as a diagrammatic counterpart...
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Regge calculus has motivated the construction of further generalizations of this idea. In particular, Regge calculus has been adapted to study quantum gravity...
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Multivariable calculus (also known as multivariate calculus) is the extension of calculus in one variable to calculus with functions of several variables:...
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functional analysis, a branch of mathematics, the Borel functional calculus is a functional calculus (that is, an assignment of operators from commutative algebras...
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analysis of quantum foundations, quantum logic is a set of rules for manipulation of propositions inspired by the structure of quantum theory. The formal...
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Many-worlds interpretation (redirect from Quantum branch)
The many-worlds interpretation (MWI) is an interpretation of quantum mechanics that asserts that the universal wavefunction is objectively real, and that...
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algebra Quantum affine algebra Quantum enveloping algebra Quantum group Jackson integral q-derivative q-difference polynomial Quantum calculus LLT polynomial...
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R S T U V W X Y Z See also References Quantum calculus a form of calculus without the notion of limits. Quantum geometry the generalization of concepts...
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Itô calculus, named after Kiyosi Itô, extends the methods of calculus to stochastic processes such as Brownian motion (see Wiener process). It has important...
30 KB (4,461 words) - 17:33, 31 March 2024
Mathematical analysis (section Calculus)
context of real and complex numbers and functions. Analysis evolved from calculus, which involves the elementary concepts and techniques of analysis. Analysis...
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Field (physics) (section Quantum fields)
spacetime, or as a single-rank 2-tensor field. In the modern framework of the quantum field theory, even without referring to a test particle, a field occupies...
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Mathematical physics (section Quantum theory)
statistical mechanics, continuum mechanics, classical field theory, and quantum field theory. Moreover, they have provided multiple examples and ideas...
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In the history of calculus, the calculus controversy (German: Prioritätsstreit, lit. 'priority dispute') was an argument between the mathematicians Isaac...
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Gauge theory (redirect from Quantum gauge theory)
of gauge symmetries appeared first in the relativistic quantum mechanics of electrons – quantum electrodynamics, elaborated on below. Today, gauge theories...
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2307/2041858. JSTOR 2041858. "Updates to the Cauchy Central Limit". Quantum Calculus. 13 November 2022. Retrieved 21 June 2023. Frederic, Chyzak; Nielsen...
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Stochastic calculus is a branch of mathematics that operates on stochastic processes. It allows a consistent theory of integration to be defined for integrals...
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