Sentence examples for have indeed defined from inspiring English sources

Therefore, we have indeed defined by induction a sequence such that (3.21).

Some theorists have indeed defined 'death' — the ending of life — in such a way as to imply that it occurs only after we are nonexistent.

Circuit and machine metaphors have come to dominate thinking and talking about synthetic biology, which has, indeed, been defined as the "application of rigorous engineering principles to biological system design and development" (Royal Academy of Engineering 2009: 5).

But only if either A or B takes the special role as the response variable Y then we have indeed an interaction effect as defined in the section 'Interactions in regression models' and conditional dependence does become technically equivalent with our definition of interaction.

"The Bush guys have indeed done some serious work to define Kerry," said one prominent Democratic strategist who refused to be named.

Some have indeed argued that the brands of the future will be defined primarily by the fluency and intuitiveness of the interactions consumers have with them.

We speculate that some cases of increased respiratory compromise for other reasons may have been erroneously labeled as a suspected AEx, a term that has indeed been recently defined in the literature [ 34].

Some have indeed taken place.

Today, roles have indeed reversed.

In other words, "actual disability" as defined by law has indeed increased.

Indeed, defined by is an isometric isomorphism.