Examples of using Integrable in English and their translations into Romanian
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Riemann- integrable.
Easily integrable Web and Android SDK for Subscriber.
The resistor R2 adjusts the initial voltage VT1, integrable voltage generated HL1.
Integrable marketing communications: elements, strategies, management.
If Re a>- 1,then is a locally integrable function, and so a tempered distribution.
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However, when both f and f̂ are integrable, the inverse equality holds almost everywhere.
The Uncertainty principle states that, if ƒ( x) is absolutely continuous and the functions x· ƒ( x) and ƒ′( x)are square integrable, then.
Let f( x) and g( x)be integrable, and let and be their Fourier transforms.
For larger spaces- living roomsover 30 square meters, Niagara speaker from Waterfall Audio can be a great choice, integrable in any modern design.
For a given integrable function f, consider the function fR defined by.
There is an entire field focusing on small deviations from integrable systems governed by the KAM theorem.
Multidimensional integrable nonlinear equations, dynamical systems and their geometrical properties/ Projects/ IMCS.
Most symplectic manifolds, one can say, are not Kähler; andso do not have an integrable complex structure compatible with the symplectic form.
But for a square-integrable function the Fourier transform could be a general class of square integrable functions.
In some cases, the antiderivatives of such pathological functions may be found by Riemann integration,while in other cases these functions are not Riemann integrable.
The nonlinear Schrödinger equation is integrable: it can be solved with the inverse scattering transform.
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The nonlinear Schrödinger equation is integrable when the particles move in one dimension of space.
If the symplectic manifold has dimension 2n and there are n functionally independent conserved quantities Giwhich are in involution(i.e.,{Gi, Gj}= 0), then the Hamiltonian is Liouville integrable.
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As can be shown using simple thought experiments following the free-fall trajectories of different test particles, the result of transporting spacetime vectors that can denote a particle's velocity(time-like vectors) will vary with the particle's trajectory; mathematically speaking,the Newtonian connection is not integrable.
One reason for the first convention is that the integrability of f on an interval implies that f is integrable on any subinterval, but in particular integrals have the property that.
On L2 Since compactly supported smooth functions are integrable and dense in L2(ℝn), the Plancherel theorem allows us to extend the definition of the Fourier transform to general functions in L2(ℝn) by continuity arguments.
It is possible to extend the definition of the Fourier transform to other spaces of functions.Since compactly supported smooth functions are integrable and dense in L2(R), the Plancherel theorem allows us to extend the definition of the Fourier transform to general functions in L2(R) by continuity arguments.
The space of integrable functions on a given domain Ω(for example an interval) satisfying| f|p<∞, and equipped with this norm are called Lebesgue spaces, denoted Lp(Ω).[nb 10] These spaces are complete.[58](If one uses the Riemann integral instead, the space is not complete, which may be seen as a justification for Lebesgue's integration theory.[nb 11]) Concretely this means that for any sequence of Lebesgue-integrable functions f1, f2,… with| fn|p<∞, satisfying the condition.
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The Liouville-Arnold theorem says that locally,any Liouville integrable Hamiltonian can be transformed via a symplectomorphism in a new Hamiltonian with the conserved quantities"G""i" as coordinates; the new coordinates are called"action-angle coordinates".
For example, the Fourier transform of the rectangular function, which is integrable, is the sinc function, which is not Lebesgue integrable, because its improper integrals behave analogously to the alternating harmonic series, in converging to a sum without being absolutely convergent.