Meaning of hyperlinear | Babel Free

Definitions

1. Having unusually pronounced creases marking the skin.
2. Displaying a generalization of sofic that applies to finite-dimensional Hilbert spaces.
3. Both additive and homogeneous for hyperreal scalars.
4. Converging very quickly to a limit so that the ratio of adjacent terms tends to zero.
5. Increasing exponentially or as a higher polynomial power.

Examples

“Atopic patients with ichthyosis vulgaris often have keratosis pilaris and hyperlinear, exaggerated palm creases.”

“Indeed, by a profound result of E. Kirchberg, F. Radulescu and N. Ozawa, a group is hyperlinear if and only if it satisfies the Connes embedding conjecture for groups, that is, if and only if its von Neumann algebra embeds into an ultrapower of the hyperfinite II₁ factor R.”

“We say that a hyperlinear fuzzy function, f say, strictly separates two fuzzy subsets A and B iff the fuzzy hyperplane determined by f and some point x₀ ϵ X strictly separates A and B”

“We see that hyperlinear convergence doesn't necessarily imply that the series is easy to evaluate for all values of x.”

“It has been shown in [3] that, at low excitation intensities, the dependence of the emission intensity from a single crystal of AgBr(I) on the excitation intensity is linear while, at high excitation intensities, it becomes hyperlinear.”

CEFR level