Sentence examples for harmonic bounds from inspiring English sources

His middle-register improvisations are evenly articulated with a strong touch and rhythmic elan [... he] likes ringing tremolos and portentous fifths [... and] barely articulated keyboard washes that float beyond the harmonic bounds but are ultimately anchored by the blues".

The erosion of the safe basins of a quadratic nonlinearity oscillator under harmonic or bounded random noise excitations is studied in detail by the Monte-Carlo method.

The purpose of this study is focused on the global stochastic dynamics of a kind of vibro-impact oscillator under the multiple harmonic and bounded noisy excitations.

Diffusive motion of C60 molecules on a graphene sheet was modeled in Ref. 8. Analytical and numerical studies demonstrated that the translation motion of C60 molecule near a graphene sheet is diffusive in the lateral direction, whereas in the perpendicular direction this motion can be described as diffusion in an effective harmonic potential (bounded diffusion).

Q j ( r j, θ j ) is harmonic and bounded on the open sector T j 1 ; continuous everywhere on T ¯ j 1 apart from the point A j, j ∈ E when φ j − 1 ≠ φ j ; continuously differentiable on T ¯ j 1 ∖ A j ; satisfies the given boundary conditions on γ j − 1 ∩ T ¯ j 1 and γ j ∩ T ¯ j 1, j ∈ E. The function Q j ( r j, θ j ) with properties (i - iv) i - iven is [17].

The sequence connectivity restraint imposes a harmonic upper-bound on the distance between beads that represent sequence-consecutive segments.

In particular,Tsuis bounded ifuis of the formu=h+Gμwherehis a bounded harmonic function andGμis the Green potential of a Borel measureμsatisfying the condition that (1−|z|) dμ z) is a Carleson measure.

If a discrete harmonic function is bounded on 99% of the lattice then it is constant.

Applications include a relative signature theorem and the construction of bounded harmonic functions.

Our results also imply a new Liouville theorem for space time bounded harmonic functions with respect to the underlying diffusion semigroup.

Martin boundaries and integral representations of positive functions which are harmonic in a bounded domainDwith respect to Brownian motion are well understood.