The phrase "a higher regularity" is correct and usable in written English.
It can be used in contexts discussing patterns, consistency, or frequency in various fields such as mathematics, statistics, or even social behavior.
Example: "The study revealed a higher regularity in the participants' responses when exposed to the same stimuli repeatedly."
Alternatives: "increased consistency" or "greater frequency".
In a regularization method, by decomposing the potential function into two or three components, the singular component can be analytically represented by the Green's function, while other components possess a higher regularity.
Furthermore, the width of the peak reduces with time indicating a higher regularity.
In order to obtain a higher regularity of global strong solutions, there are many complicated estimates on higher derivations of the solution involved; this is our difficulty.
The empirical color difference data plotted in the OSA-UCS space show a higher regularity than what has been seen before (Figures 2 and 3), inducing the authors to state a hue-independence hypothesis.
The continuity and curvature terms need to be weighted with values just high enough to maintain a high regularity of the mesh.
The justification for the above assumption is the following: The continuity and curvature terms need to be weighted with values just high enough to maintain a high regularity of the mesh.
More precisely, Holschneider (1995) has shown that a high regularity of the signal is translated via the CWT from a power-law variation: (9)This result confirms that if the stochastic process s(t) is self-affine or, if it has some long-range dependence properties characterised by the local exponent h(t), then the wavelet coefficients, at a fixed scale, form a stationary process.
Since SEM and AFM patterns exhibit a high regularity in the structures across the transition from ripples to surface undulations the role of the amorphization of crystalline silicon during the formation process of ripple structures has to be the subject of further research.
Due to the solution of the corresponding stationary equation of (1.1) (-Delta h+lambda h+f(h)=g) only belonging to (H^{1}), we cannot expect any higher regularity of the global attractor than (mathcal {H}).
When instead dependence on x becomes more regular then higher regularity follows.
Before we dwell into a review of results concerning higher regularity of the classifying maps, we consider in the next section the basic examples of projective varieties that are classifying spaces.
