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Eigenfunctions

💡 Words with a Similar Meaning to "Eigenfunctions"

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WordDefinition
dutiesnoun(countable, uncountable) That which one is morally or legally obligated to do.
functionsnounWhat something does or is used for.
eigenvaluesnoun(linear algebra) A scalar λ, such that there exists a non-zero vector x (a corresponding eigenvector) for which the image of x under a given linear transformation A is equal to the image of x under multiplication by λ; i.e. Ax=λx.
eigenvaluenoun(linear algebra) A scalar λ, such that there exists a non-zero vector x (a corresponding eigenvector) for which the image of x under a given linear transformation A is equal to the image of x under multiplication by λ; i.e. Ax=λx.
eigenvectornoun(linear algebra) A vector that is only scaled (not rotated out of its span) under a particular linear transformation; a left or right eigenvector depending on context; (more formally) given a linear transformation A, a vector x such that Ax=λx [or xA=λx] for some scalar λ (called the eigenvalue).
eigenfrequencynounNatural frequency: the frequency at which a system tends to oscillate in the absence of any driving or damping force.
eigenmodenoun(physics) One of the normal vibrational modes of an oscillating system.
eigennouna high-level C++ library of template headers for linear algebra, matrix and vector operations, geometrical transformations, numerical solvers and related algorithms.
equationsnoun(mathematics) An assertion that two expressions are equal, expressed by writing the two expressions separated by an equal sign; in mathematical problems, equations describe various essential aspects of the problem, each of which contributes to the resolution of the problem in part.
functionnounWhat something does or is used for.
trigonometric functionnoun(trigonometry) Any function of an angle expressible as the ratio of two of the sides of a right triangle that has that angle (e.g., sine), or that subtracts 1 from such a ratio or subtracts such a ratio from 1 (e.g., coversed sine).
euleriannoun(graph theory) Having an Eulerian circuit.
mapping function
integralsnoun(mathematics) One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof.
derivationsnounThe act of receiving anything from a source; the act of procuring an effect from a cause, means, or condition, as profits from capital, conclusions or opinions from evidence.
exponential functionnoun(mathematics) Any function in which an independent variable is in the form of an exponent; they are the inverse functions of logarithms
parametrizationnounThe act or result of parametrizing: alternative form of parameterization.
differential equationnoun(calculus) An equation involving the derivatives of a function.
algebrasnoun(uncountable, mathematics) Elementary algebra: A system for representing and manipulating unknown quantities (variables) in equations.
parameterizationnounThe representation of a curve or surface in terms of a parametric equation.

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