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Functional analysis

💡 Words with a Similar Meaning to "Functional analysis"

Found via reverse dictionary — words that share a conceptual meaning.

WordDefinition
functionalUseful; serving a purpose, fulfilling a function.
mathematical analysisnoun(mathematics) The mathematical study of functions, sequences, series, limits, derivatives and integrals.
complex analysisnoun(mathematics) The branch of mathematics that studies holomorphic functions.
analysisnoun(countable) Decomposition into components in order to study (a complex thing, concept, theory, etc.).
algebraic analysisnounUsed other than figuratively or idiomatically: see algebraic, analysis.; the use of techniques from algebra (especially elementary algebra) to analyse and solve problems.
operator theorynoun(mathematics) A branch of functional analysis, being the study of linear operators on function spaces.
real analysisnoun(mathematics) The branch of mathematics dealing with the real numbers and related structures.
nonstandard analysisnoun(mathematical analysis) Analysis founded upon the hyperreal number system, i.e., which formally defines and uses infinitesimals, especially differentials.
arithmetic functionnoun(mathematical analysis) Any function that is defined for all positive integers, and has values that are either real or complex.
infinitesimal analysisnoun(mathematics, mathematical analysis) a systematic employment of infinitesimals that reduces calculus to algebra; nonstandard analysis.
numerical analysisnoun(mathematics) The study of algorithms to solve mathematical problems concerning continuous sets of values (such as the real numbers, complex numbers or vector spaces).
analystnounSomeone who analyzes.
abstract harmonic analysisnoun(harmonic analysis, representation theory, topology) A branch of harmonic analysis dealing with generalised Fourier transforms that act on functions defined on Hausdorff locally compact topological groups.
analytic number theorynoun(mathematics, number theory) A branch of number theory that uses methods from mathematical analysis to solve problems about the integers.
computable analysisnoun(mathematics, computing theory) Mathematical analysis of computable numbers and functions.
analytic functionnoun(mathematical analysis) Any smooth (infinitely differentiable) function f, defined on an open set D⊆ℂ( textit or⊆ℝ), whose value in some neighbourhood of any given point x_0∈D is given by the Taylor series ∑ₙ₌₀ ᪲(f⁽ⁿ⁾(x_0))/(n!)(x-x_0)ⁿ.
field theorynounThe branch of mathematics dealing with the algebraic structure of fields.
eigenanalysisnoun(mathematics) analysis using eigenvectors
hilbert spacenoun(functional analysis) A generalized Euclidean space in which mathematical functions take the place of points; crucial to the understanding of quantum mechanics and other applications.
simple functionnoun(mathematical analysis) Any complex-valued measurable function whose range is finite.

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