Sentence examples for a richer structure from inspiring English sources

It has a richer structure than its well investigated C⁎-envelope, as becomes evident from the possible existence of non-self-adjoint closed ideals.

However, the gist of having types with the new type constructors ∧ and ⊤ is that the set of types has a richer structure than the relationships between types determined by the rules of substitution and modus ponens.

Many fixed point theorems use more sophisticated conditions than (19), (20), (21) (see, e.g., [16], [17]) or the spaces under consideration have a richer structure (see, e.g., [9], [18]).

Numerical techniques for such problems may be regarded as extensions of dense-output methods for ordinary differential equations (ODEs), but scalar RDEs are inherently infinite dimensional with a richer structure than their ODE counterparts.

Careful numerical and analytical investigations are presented, which show that the time dependence of the relaxation of a temperature anisotropy by Coulomb Lorentz collisions has a richer structure than previously thought, and is not accurately represented by an exponential decay with a single decay rate.

Instead of repeating exactly the same design over and over, they have slight variations in each stage, allowing a richer structure while maintaining the elegant style of fractals.

The problem is described via a least squares (LS) cost function with a rich structure.

As we'll see, (nu =3) is perhaps the simplest case with a rich structure.

"You can think about the palm as a very large fingerprint," says Kontsevich. "It has a rich structure and can be captured by any camera touchlessly".

A rich structure of possible periodic behaviors appears to pervade the solution space in the coupled problem.

The spin polarization spectrum exhibits a rich structure, originating from clearly discernible transitions in the majority and minority partial spin spectra.