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improper integrals MATH

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Monolingual examples (not verified by PONS Editors)

English
Their method is based on the analysis of d-bar problems, rather than the asymptotic analysis of singular integrals on contours.
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This involved the numerical approximation of a number of integrals in 360 dimensions.
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This motivates the study and application of numerical methods for approximating integrals, which today use floating-point arithmetic on digital electronic computers.
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It follows that classical virial coefficients depend on the interactions between the particles only and are given as integrals over the particle coordinates.
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The feature that the numeric lacks is the ability to solve algebraic equations such as indefinite integrals and derivatives.
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In other words, both iterated integrals, when computable, are equal to the double integral and therefore equal to each other.
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Oscillatory integrals make rigorous many arguments that, on a naive level, appear to use divergent integrals.
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Additionally, multiple integrals are used in many applications in physics.
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Zeta function regularization is used as one possible means of regularization of divergent series and divergent integrals in quantum field theory.
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Derivatives and definite integrals are evaluated exactly when possible, and approximately otherwise.
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