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(the convolution operator R (

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1 (the convolution operator R (f) , the Riesz transforms) plays (in Rn) the same role as

Математика: играть ту же самую роль, что и (the Hilbert transform plays in R)

Универсальный англо-русский словарь > (the convolution operator R (f) , the Riesz transforms) plays (in Rn) the same role as
2 plays the same role as

Математика: (the convolution operator R (f), the Riesz transforms)(in Rn) играть ту же самую роль, что и (the Hilbert transform plays in R)

Универсальный англо-русский словарь > plays the same role as
3 играть ту же самую роль, что и

Mathematics: (the convolution operator R ( f), the Riesz transforms) plays (in Rn) the same role as (the Hilbert transform plays in R)

Универсальный русско-английский словарь > играть ту же самую роль, что и
4 kernel

1) зерно, зёрнышко

2) керн

3) матем. кернфункция

4) сердцевина; ядро

•

kernel on the left — алг. ядро слева

kernel on the right — алг. ядро справа

kernel with a summable square — алг. ядро с суммируемым квадратом

kernel with a weak singularity — алг. ядро со слабой особенностью

- absolutely integrable kernel

- adjoint kernel

- algebraic kernel

- almost degenerated kernel

- analytical kernel

- anisotropic kernel

- antisymmetric kernel

- approximative kernel

- associated kernel

- autocorrelational kernel

- autocovariational kernel

- automaton kernel

- auxiliary kernel

- averaging kernel

- backward kernel

- basic kernel

- bell-shaped kernel

- binomial kernel

- bounded kernel

- butterfly kernel

- butterfly-shaped kernel

- canonical kernel

- closed kernel

- compact kernel

- complete kernel

- conjugate kernel

- continuous in the mean kernel

- continuous kernel

- contractible kernel

- convexity preserving kernel

- convolution kernel

- correspondence kernel

- covariance kernel

- cyclic kernel

- definite kernel

- degenerate kernel

- dense-in-itself kernel

- difference kernel

- dimensional kernel

- distinguished kernel

- elementary kernel

- equation kernel

- equivalence kernel

- ergodic kernel

- exponential kernel

- extendible kernel

- externally stable kernel

- factorizing kernel

- formal kernel

- fully ordered kernel

- fundamental kernel

- general kernel

- generalized kernel

- geometric kernel

- ideal kernel

- improper kernel

- incomplete kernel

- indecomposable kernel

- indefinite kernel

- inessentially singular kernel

- infinitesimal kernel

- information kernel

- integrated kernel

- interaction kernel

- internally stable kernel
- intrinsically singular kernel
- invariant kernel

- irreflexive kernel

- iterated kernel

- kernel of a complex sequence
- kernel of a linear operator - kernel of a singular integral - kernel of a summation method
- kernel of action

- kernel of endomorphism

- kernel of game

- kernel of homomorphism

- kernel of integral equation
- kernel of integral operator - kernel of integral transformation
- kernel of integral

- kernel of morphism

- kernel of pairing

- kernel of representation

- kernel of semigroup

- kernel of sequence

- kernel of set

- kernel of spectrum

- left kernel

- line kernel

- linear kernel

- locally convex kernel
- locally finite kernel
- logarithmic kernel

- logarithmically divergent kernel

- logical kernel

- lower kernel

- maximal kernel

- measurable kernel

- minimax kernel

- modified kernel

- monotone kernel

- multidimensional kernel

- negative definite kernel

- negative kernel

- nonfinite kernel

- nonnegative definite kernel
- nonpositive definite kernel
- nonsymmetric kernel

- nontrivial kernel

- normalizable kernel

- odd kernel

- one-dimensional kernel

- open kernel

- operator kernel

- ordinal kernel

- orthogonal kernel

- oscillation kernel

- path kernel

- payoff kernel

- periodic kernel

- perturbed kernel

- plane kernel

- polar kernel

- positive kernel

- potential kernel

- prime kernel

- primitive kernel

- product moment kernel
- proper covariance kernel
- pseudo kernel

- pseudoreproducing kernel

- pseudoresolvent kernel

- quadratically integrable kernel

- quasipositive kernel

- random kernel

- real kernel

- reciprocal kernel

- reduced kernel

- regular kernel

- regularized kernel

- reproducible kernel

- right kernel

- row kernel

- sample kernel

- self-conjugate kernel

- semidefinite kernel

- semisimple kernel

- separable kernel

- sign regular kernel

- singular kernel

- skew-symmetric kernel

- solving kernel

- spectral kernel

- stochastic kernel

- strictly positive kernel

- subergodic kernel

- substochastic kernel

- symmetrizable kernel

- system kernel

- torsionless kernel

- total kernel

- totally positive kernel

- transient kernel

- transposed kernel

- triangular kernel

- unbounded kernel

- uniformly bounded kernel

- unperturbed kernel

- unsymmetrical kernel

- upper kernel

- utility kernel

- variation kernel

English-Russian scientific dictionary > kernel
5 theorem

теорема

that establishes the theorem — тем самым теорема доказана

the theorem is proved — теорема доказана

theorem implies — из теоремы следует, что…

this concludes the proof of theorem — это завершает доказательство теоремы

under hypothesis of theorem — по условию теоремы

- absolute geometrical theorem

- abstract theorem

- additivity theorem

- adequacy theorem

- alleged theorem

- analytical enumeration theorem
- analytical hierarchy theorem
- analyticity theorem

- approximation theorem

- arithmetical enumeration theorem
- arithmetical hierarchy theorem
- associative theorem

- asymptotic passage theorem

- asymptotic theorem

- auxiliary theorem

- average theorem

- azygetic theorem

- bachet's theorem

- ballot theorem

- binomial theorem

- boundary theorem

- cardinality theorem

- Cauchy residue theorem

- central limit theorem

- central statistical theorem

- characterization theorem

- class existence theorem

- classical theorem

- classification theorem

- closed graph theorem
- closed range theorem
- closure theorem

- cobordism theorem

- cobweb theorem

- coding theorem

- coincidence theorem

- combination theorem

- combinatorial theorem

- compactness theorem

- comparability theorem

- comparison theorem

- compensation theorem

- complementary theorem

- completeness theorem

- composition theorem

- conductor-ramification theorem

- conservation theorem

- consistency theorem

- continuation theorem

- continuity theorem

- convergence theorem

- converse limit theorem

- converse theorem

- convexity theorem

- convolution theorem

- cosine theorem

- covering theorem

- decomposition theorem

- deducible theorem

- deduction theorem

- definability theorem

- density theorem

- descriptive theorem

- determinant theorem

- dimension theorem

- direct theorem

- distortion theorem

- divergence theorem

- dominance theorem

- double recursion theorem

- dual theorem

- duality theorem

- dynamical theorem

- edge-of-the-wedge theorem

- either-or theorem

- elementary theorem

- elimination theorem

- embedding theorem

- enclosure theorem

- enumeration theorem

- equal probability theorem

- equality theorem

- equilibrium theorem

- ergodic theorem

- exactness theorem

- excision theorem

- existence theorem

- existence theorem

- existential theorem

- expansion theorem

- explicit theorem

- extension theorem

- extreme-value theorem

- factor theorem

- factorization theorem

- faltung theorem

- fan theorem

- feasibility theorem

- Fermat's last theorem

- finiteness theorem

- five color theorem

- fixed-point theorem

- formal theorem

- formally deducible theorem
- formally provable theorem
- formation theorem

- friendship theorem

- fundamental theorem of algebra

- fundamental theorem

- fuzzy theorem

- gap theorem

- general theorem

- generalized theorem

- going-up theorem

- graphical theorem

- hierarchy theorem

- holonomy theorem

- homotopy addition theorem
- implicit function theorem
- incompleteness theorem

- index theorem

- individual ergodic theorem
- initial value theorem - integral representation theorem
- integral theorem

- integrality theorem

- integration theorem

- interchange theorem

- intermediary theorem

- intermediate value theorem

- interpolation theorem

- interpretability theorem

- interpretation theorem

- invariance theorem

- inverse function theorem

- inverse theorem

- inverse transform theorem

- inversion theorem

- isomorphism theorem

- isoperimetric theorem

- joint consistency theorem

- Karhunen-Loeve theorem

- kernel theorem

- key renewal theorem

- least-upper-bound theorem

- limitative theorem

- limiting theorem

- linearity theorem

- local description theorem
- local limit theorem
- local theorem

- local uniformization theorem

- local-global theorem

- localization theorem

- logical theorem

- main theorem

- map color theorem

- martingale convergence theorem

- martingale theorem

- matching theorem

- max-flow min-cut theorem
- maximal ergodic theorem
- maximal theorem

- maximality theorem

- maximum-modulus theorem

- mean ergodic theorem
- mean value theorem
- mean-value theorem

- measurability theorem

- metamathematical theorem

- metrization theorem

- minimax theorem

- model extension theorem

- monodromy theorem

- monotonicity theorem

- multinomial theorem

- multiplication theorem

- Nagy-Faias theorem

- negation of theorem

- negation theorem

- Nikodym theorem

- nonexistence theorem

- normal addition theorem
- normal form theorem
- normalization theorem

- Nyquist-Kotelnikov-Shannon sampling theorem

- occurrence theorem

- open mapping theorem

- operator theorem

- opposite theorem

- ordering theorem

- orientability theorem

- orthogonality theorem

- orthographic theorem

- oscillation theorem

- painting theorem

- parallel axis theorem

- parametric theorem

- parametrization theorem

- periodicity theorem

- permutation theorem

- Plancherel theorem

- pointwise ergodic theorem

- preliminary theorem

- preparation theorem

- prime number theorem

- principal theorem

- probability theorem

- product theorem

- prolongation theorem

- proximity theorem

- quantifiers elimination theorem

- quantitative theorem

- quasiergodic theorem

- random ergodic theorem
- ratio limit theorem - rational root theorem
- recurrence theorem

- recursion theorem

- reduction theorem

- reflection theorem

- regularity theorem

- relativized theorem

- renewal density theorem

- replacement theorem

- representability theorem

- representation theorem

- residue theorem

- resonance theorem

- reverse-flow theorem

- root-counting theorem

- sampling theorem

- second limit theorem
- second mean value theorem
- selection theorem

- semantical theorem

- semilocal theorem

- separation theorem

- seven color theorem

- sewing theorem

- shift theorem

- signature theorem

- similarity theorem

- similarity theorem

- similitude theorem

- single-valuedness theorem

- sinusoidal limit theorem

- six-color theorem

- soundness theorem

- special theorem

- spectral theorem

- stability theorem

- stationarity theorem

- strong theorem

- structure theorem

- substitution theorem

- subtle theorem

- summation theorem

- superposition theorem

- suspension theorem

- symmetry theorem

- syntactical theorem

- synthesis theorem

- tautology theorem

- theorem of alternatives

- theorem of choice

- theorem of closed graph
- theorem of consistency proofs - theorem of corresponding states
- theorem of mean

- theorem of numerical comparison

- theorem of residues

- theorem of sines

- theorem of total probability

- theorem of units

- Theveni's theorem

- three circle theorem
- three line theorem - three series theorem
- torsion theorem

- transference theorem

- translation theorem

- transposition theorem

- tree theorem

- triad theorem

- triple limit theorem

- truth theorem

- two constants theorem

- two triangles theorem

- ultraproduct theorem

- umbrellas theorem

- undecidability theorem

- unicity theorem

- uniform boundedness theorem
- uniform convergence theorem - uniform ergodic theorem - uniform mean value theorem
- uniformization theorem

- unique factorization theorem

- uniqueness theorem

- validity theorem

- Van Cittert-Zernike theorem

- vanishing theorem

- variant theorem

- virial theorem

- weak theorem

- well ordering theorem

- Wiener-Paley theorem

- work-kinetic energy theorem

English-Russian scientific dictionary > theorem

См. также в других словарях:

Convolution — For the usage in formal language theory, see Convolution (computer science). Convolution of two square pulses: the resulting waveform is a triangular pulse. One of the functions (in this case g) is first reflected about τ = 0 and then offset by t … Wikipedia
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Convolution theorem — In mathematics, the convolution theorem states that under suitable conditions the Fourier transform of a convolution is the pointwise product of Fourier transforms. In other words, convolution in one domain (e.g., time domain) equals point wise… … Wikipedia
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Symmetric convolution — In mathematics, symmetric convolution is a special subset of convolution operations in which the convolution kernel is symmetric across its zero point. Many common convolution based processes such as Gaussian blur and taking the derivative of a… … Wikipedia
Difference operator — In mathematics, a difference operator maps a function, f ( x ), to another function, f ( x + a ) − f ( x + b ).The forward difference operator :Delta f(x)=f(x+1) f(x),occurs frequently in the calculus of finite differences, where it plays a role… … Wikipedia
Discrete Laplace operator — For the discrete equivalent of the Laplace transform, see Z transform. In mathematics, the discrete Laplace operator is an analog of the continuous Laplace operator, defined so that it has meaning on a graph or a discrete grid. For the case of a… … Wikipedia
Circulant matrix — In linear algebra, a circulant matrix is a special kind of Toeplitz matrix where each row vector is rotated one element to the right relative to the preceding row vector. In numerical analysis, circulant matrices are important because they are… … Wikipedia
Clifford analysis — Clifford analysis, using Clifford algebras named after William Kingdon Clifford, is the study of Dirac operators, and Dirac type operators in analysis and geometry, together with their applications. Examples of Dirac type operators include, but… … Wikipedia
Discrete Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms In mathematics, the discrete Fourier transform (DFT) is a specific kind of discrete transform, used in… … Wikipedia
Plancherel theorem for spherical functions — In mathematics, the Plancherel theorem for spherical functions is an important result in the representation theory of semisimple Lie groups, due in its final form to Harish Chandra. It is a natural generalisation in non commutative harmonic… … Wikipedia

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(the convolution operator R (

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