Sentence examples for by adding remainder terms from inspiring English sources

We show that a Hardy-Rellich inequality with optimal constants on a bounded domain can be refined by adding remainder terms.

It follows that Hardy inequalities associated with two different fractional Laplacians share the same best constant as well as they can be both sharpened by adding Sobolev type remainder term involving the same optimal logarithmic correction.

Conclude the discussion by adding these terms to student diagrams.

It does so by adding new terms to the query.

Interaction was tested by adding interaction terms to the model.

which can be symmetrized by adding the term.

Statistics for nonsignificant terms were obtained by adding each nonsignificant term to the minimal model.

(1) as so designated, added remainder of cl.

Add remainder of flour.

Those equalities yield (1.1 - 1.3 1.1 - 1.3ing remainder terms.

We also prove a strengthened form of Gross's logarithmic Sobolev inequality with a "remainder term" added to the left side.