Next, as regards the regularity condition, a matrix (mathcal{A}) is said to be regular if lim_{nrightarrowinfty}mathcal{A}_{n}x=Lquad mbox{whenever } lim_{krightarrowinfty}x_{k}=L.
A necessary and sufficient regularity condition similar to a well-known one-parameter criterion is given.
The question has an affirmative answer for a class of circuits that fulfills a certain regularity condition.
Under an additional regularity condition, pure bundling is the optimal sale mechanism among all individually rational and incentive compatible mechanisms.
We challenged this assumption by contrasting performance in a visual search task containing either a consistent-mapping (regularity) condition, a random-mapping condition, or both conditions, mixed.
We examine the solution of the problem when the regularity condition is relaxed in different ways, or when the production function is non-linear and convex.
This is done directly from estimates on the resolvent rather than using dispersive bounds, as the latter generally require a stronger regularity condition than what is stated above.
From an irreducible depth 2 inclusionM0⊂M1ofactorsrs with a faithful semifinite normal operator-valued weight, verifying a regularity condition, we construct the canonical tower (Mi i∈N.
In addition, when mesh is refined under a given regularity condition, a sufficiently smooth target function can be approximated by its interpolated function with arbitrary accuracy, meaning that the interpolation error norm approaches to zero.
From a depth 2 inclusion of von Neumann algebras M0 ⊂M1, with an operator-valued weight verifying a regularity condition, we construct a pseudo-multiplicative unitary, which leads to two structures of Hopf bimodules, dual to each other.
From an irreducible depth 2 inclusion of factors, verifying a regularity condition, we construct a multiplicative unitary, and an action, at every level of the canonical tower constructed from the inclusion; when this inclusion admits a faithful semi-finite normal operator-valued weight, stronger conditions are given, and the tower appears then as a crossed-product construction.
