"decay condition" is a correct and usable phrase in written English.
It refers to the physical state or condition of something decaying or deteriorating. You can use "decay condition" in a sentence when describing something that is in a state of decay or deterioration, such as: - The abandoned house was in a severe decay condition, with broken windows and a collapsing roof. - The old bridge was closed due to its decay condition, posing a safety hazard to drivers. - The scientist studied the decay condition of the organic matter in the soil to understand its effect on plant growth.
Under the decay condition, we have constructed the dual wavelet basis of a pre-wavelet basis.
Local log-Hölder continuity condition for the exponent, together with the log-Hölder decay condition, guarantees the boundedness of operators of harmonic analysis in spaces (see, e.g., [6]).
As far as we know, unfortunately, an analog of the log-Hölder decay condition (at infinity) for is not known even in the unweighted case, which is well-known and natural for the Euclidean spaces (see [2 5]).
Transient convection heat transfer was experimentally studied for a horizontal cylinder in helium gas under flow decay conditions.
It has a unique opportunity to produce a coherent, structured evidence-based plan to prevent obesity, type 2 diabetes and tooth decay – conditions that are preventable if the food environment is changed.
The structural use of raw wood, i.e. without wood preservative treatment, in severe decay conditions is specific to the bioengineering structures.
We show that a functionFonΔ K, Hn) belongs to SK(Hn)∧if and only if the functions obtained fromFvia application of certain derivatives and difference operators satisfy decay conditions.
We analytically study the convergence rate of the Fourier transformed Boltzmann collision operator in the grazing collisions limit to the Fourier transformed Landau collision operator under the assumption of some regularity and decay conditions of the solution to the Boltzmann equation.
With stronger decay conditions on the potential it is possible to generate an operator-valued expansion for the evolution, taking the formeitHPac(H)="|t|2−n2A−2+|t|1−n2A−1+|t|−n2A0, with A−2 and A−1 finite rank operators mapping L1(Rn) to L∞(Rn) while A0 maps weighted L1 spaces to weighted L∞ spaces.
If f ( t ) ∈ PW σ 2 satisfies the natural decay conditions (1.8).
The research has shown how wavelets with decay conditions enable descriptions of Lebesgue spaces, and in particular, the Bernstein inequality.
