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take the integral along the contour

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  • 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

  • Methods of contour integration — Not to be confused with Line integral. In the mathematical field of complex analysis, contour integration is a method of evaluating certain integrals along paths in the complex plane.[1][2][3] Contour integration is closely related to the… …   Wikipedia

  • Path integral formulation — This article is about a formulation of quantum mechanics. For integrals along a path, also known as line or contour integrals, see line integral. The path integral formulation of quantum mechanics is a description of quantum theory which… …   Wikipedia

  • Differentiation under the integral sign — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

  • Stefan–Boltzmann law — The Stefan–Boltzmann law, also known as Stefan s law, states that the total energy radiated per unit surface area of a black body in unit time (known variously as the black body irradiance, energy flux density, radiant flux, or the emissive… …   Wikipedia

  • Residue theorem — The residue theorem in complex analysis is a powerful tool to evaluate line integrals of analytic functions over closed curves and can often be used to compute real integrals as well. It generalizes the Cauchy integral theorem and Cauchy s… …   Wikipedia

  • JERUSALEM — The entry is arranged according to the following outline: history name protohistory the bronze age david and first temple period second temple period the roman period byzantine jerusalem arab period crusader period mamluk period …   Encyclopedia of Judaism

  • Kramers–Kronig relation — The Kramers–Kronig relations are mathematical properties, connecting the real and imaginary parts of any complex function which is analytic in the upper half plane. These relations are often used to relate the real and imaginary parts of response …   Wikipedia

  • Chern-Simons theory — The Chern Simons theory is a 3 dimensional topological quantum field theory of Schwarz type, developed by Shiing Shen Chern and James Harris Simons. In condensed matter physics, Chern Simons theory describes the topological orderin fractional… …   Wikipedia

  • Chern–Simons theory — The Chern–Simons theory is a 3 dimensional topological quantum field theory of Schwarz type, introduced by Edward Witten. It is so named because its action is proportional to the integral of the Chern–Simons 3 form. In condensed matter physics,… …   Wikipedia

  • Nuclear weapon design — The first nuclear weapons, though large, cumbersome and inefficient, provided the basic design building blocks of all future weapons. Here the Gadget device is prepared for the first nuclear test: Trinity. Nuclear weapon designs are physical,… …   Wikipedia

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