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principal-value integral

См. также в других словарях:

  • Cauchy principal value — In mathematics, the Cauchy principal value of certain improper integrals, named after Augustin Louis Cauchy, is defined as either* the finite number::lim {varepsilon ightarrow 0+} left [int a^{b varepsilon} f(x),dx+int {b+varepsilon}^c f(x),dx… …   Wikipedia

  • Principal — may refer to: Education The head of an educational institution: *Principal (school), head of a primary or secondary school *Principal (university), chief executive of a university **Dean (education), a person with significant authority **Provost… …   Wikipedia

  • Integral — This article is about the concept of integrals in calculus. For the set of numbers, see integer. For other uses, see Integral (disambiguation). A definite integral of a function can be represented as the signed area of the region bounded by its… …   Wikipedia

  • Principal components analysis — Principal component analysis (PCA) is a vector space transform often used to reduce multidimensional data sets to lower dimensions for analysis. Depending on the field of application, it is also named the discrete Karhunen Loève transform (KLT),… …   Wikipedia

  • Hadamard finite part integral — In mathematics, the Hadamard finite part, named after Jacques Hadamard, is a special type of integral for function with hypersingularities.If the Cauchy principal value integral: int {a}^{b} frac{f(t)}{t x} , dtexists, then the Hadamard finite… …   Wikipedia

  • Principal component analysis — PCA of a multivariate Gaussian distribution centered at (1,3) with a standard deviation of 3 in roughly the (0.878, 0.478) direction and of 1 in the orthogonal direction. The vectors shown are the eigenvectors of the covariance matrix scaled by… …   Wikipedia

  • Improper integral — In calculus, an improper integral is the limit of a definite integral as an endpoint of the interval of integration approaches either a specified real number or ∞ or −∞ or, in some cases, as both endpoints approach limits.Specifically, an… …   Wikipedia

  • Logarithmic integral function — In mathematics, the logarithmic integral function or integral logarithm li(x) is a special function. It occurs in problems of physics and has number theoretic significance, occurring in the prime number theorem as an estimate of the number of… …   Wikipedia

  • Exponential integral — is a mathematical function of a single argument which has no established notation.DefinitionsFor real values of x , the exponential integral Ei( x ) can be defined as : mbox{Ei}(x)=int { infty}^xfrac{e^t}t,dt., The definition above can be used… …   Wikipedia

  • Hauptwert-Integral — Dieser Artikel behandelt den Hauptwert in der Integralrechnung. Für die Bedeutung des Hauptwertes bei komplexen Logarithmen, siehe Logarithmus. Als cauchyschen Hauptwert (nach A. L. Cauchy) bezeichnet man im mathematischen Teilgebiet der Analysis …   Deutsch Wikipedia

  • Dirichlet integral — In mathematics, there are several integrals known as the Dirichlet integral, after the German mathematician Peter Gustav Lejeune Dirichlet. One of those is This can be derived from attempts to evaluate a double improper integral two different… …   Wikipedia

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