Sentence examples for simplify statements from inspiring English sources

To simplify statements of results, set u ( l ) ( 1 + ) = u ( l ) ( 1 ) and u ( l ) ( 0 − ) = u ( l ) ( 0 ) for 0 ≤ l ≤ m, where u ( l ) ( 1 ) and u ( l ) ( 0 ) are the appropriate one-sided derivatives.

In order to simplify our statements, we introduce some convenient notations.

To simplify the statement, denote J as x coordinate of this kind of intersection.

To simplify the statement we shall assume as before that E is a set with the same volume as the unit ball.

We list the following notation in order to simplify the statement of the results of this paper: (A1) Let D be a subset of ((0,infty)^{2}).

So we have to offer up scary scenarios, make simplified, dramatic statements, and make little mention of any doubts we might have...Each of us has to decide what the right balance is between being effective and being honest".

Not surprisingly, this training often focuses on simplifying scientific statements so they appear more certain and (presumably) more lucid for nonscientists.

The second query is actually equivalent with: Thus, to correctly simplify the first statement in SQL requires that we return all rows in which x is not null.

He has also borrowed a number of tricks from the private sector: setting up a marketing department to sell the city to outside business (not always an easy task); publishing a concise version of his annual budget modelled on company statements; simplifying the tortuous process needed to get a licence; lightening the tax burden in the hope that greater compliance may actually increase revenues.

In order to simplify the terminology and the statements of our results, we shall use the following notions.

The limits at ±∞ in (d) are taken to be the same in order to simplify the formulation, but the statements and proofs can readily be adapted to the case of different limits.