Sentence examples for defined everywhere from inspiring English sources

It is well known that an operator is maximal monotone if and only if its resolvent operator is defined everywhere.

It is known that a monotone operator is maximal if and only if its resolvent operator is defined everywhere.

It is well known that a monotone operator is maximal if and only if its resolvent operator is defined everywhere.

The main advantage of LPP is its linearity and more importantly that it is defined everywhere in ambient space rather than just on the training data points.

As the problem is not strictly convex and not defined everywhere, choices were made to simplify the problem allowing a linear system of equations to be solved.

As the problem is not strictly convex and not defined everywhere as seen in the Result parts, choices are needed to simplify the problem.

Since (B_{1}) and (B_{2}) are everywhere defined, A is everywhere defined.

If God (however defined) is everywhere and "everywhen," as the Australian aboriginals put it so wonderfully, then why are some places thin and others not?

Despite the fact that this object has a multiplication defined almost everywhere, we are able to define for it a convolution algebra.

Here n i denotes the exterior unit normal vector on Γ i : = ∂ Ω i, i ∈ { 0, D, E, F }, and is defined almost everywhere.

t ∈ ( a, b ) the mapping ( u, v ) ∈ R 2 ↦ f ( t, u, v ) is continuous;   (iii) for every r > 0 the function defined almost everywhere by f r ∗ ( t ) = max { | f ( t, u, v ) | : | u | + | v | ≤ r }  . for all ( u, v ) ∈ R 2 the mapping t ∈ ( a, b ) ↦ f ( t, u, v ) is measurable; for almost all (a.a).