Examples of using Integrals in English and their translations into Russian
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Colloquial
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Official
Fubini theorem for multiple integrals.
Feynman integrals and modular functions.
Quantum Mechanics and Path Integrals.
Solve integrals and differential equations.
The first and second type surface integrals.
Integrals, Series, Complex analysis, Differential Equations.
Substitution in double and triple integrals.
No, integrals and derivatives of logarithmic functions.
The first and second type curvilinear integrals.
Multidimensional singular integrals and integral equations.
Application of the residue theory to evaluating integrals.
Integrals of the Loewner equation with exponential driving function.
Rotation of rigid body:Euler equations, integrals of motion.
Derivatives and integrals ability to differentiate and integrate.
Especially important is the version for integrals over the real line.
Traditional integrals of motion are inapplicable in this case.
Expressions for wavefields obtained in the form of Fourier- Bessel integrals.
By analogy with Schwartz- Christoffel integrals, we name them accessory parameters.
Integration by parts andintegration by substitution in indefinite integrals.
In general, integrals in this form cannot be expressed in terms of elementary functions.
Development of software test knowledge for tabular indefinite integrals.
Even when a mathematician counts integrals, a computer system would normally do it for them.
The algorithm is based upon the necessary andsufficient condition of the existence of first integrals 2.
Fourier Integrals for Practical Applications,"Bell System Technical Journal", pp 639-707, 1928.
The process of algorithm constructing of nonlinear polynomial first integrals shakurov i.r., asadullin r.m.
The generalized Cauchy type integrals which kernel depends on the difference of arguments are considered on the smooth contour.
Graphical evaluations of this kind can be created in the form of peak or mean values,envelopes or integrals.
Integrals of the elementary functions and some little bit complex expressions often occur in practice are presented.
In the paper the sufficient conditions such that these integrals belong C n, μ up to the boundary are found.
According to this method, the space of integrals of motion is introduced, integrals of motion being regarded as coordinates in it.