Sentence examples for by a straightforward computation from inspiring English sources

By a straightforward computation we see that the polynomial is strictly decreasing on.

Since (( I-T^{dagger }T ) ) is a projection, then so is P, by a straightforward computation.

Indeed, for each (mathbf{c} in mathcal{H}), setting y(t)=frac{Gamma (alpha)(eta -2t)}{1-eta } mathbf{c} quad mbox{for } t in [0,1], we have (phi (y)=mathbf{c}), by a straightforward computation.

for any n 1, n 2, n 3, n 4 ∈ N, so we can show that the sequence ( φ n 1, n 2, n 3, n 4 ) fulfills (3.6) by a straightforward computation because of the continuity of the function R + → R, t → R t φ ( x ), for any φ ∈ C b, 1 ( H ).

end{aligned} Moreover, using (4.12) and (4.14), by a straightforward computation, we have begin{aligned} fint_{Q_{4}} biglvert A x)- bar{A}_{B'_{4}}( x_{1} bigrvert ^{2} ledelta^{2},qquad fint_{Q_{4}} vert Dtilde{u}vert ^{2},dx le1 quad mbox{and}quad fint_{Q_{4}} bigl( vert tilde{mathbf{f}}vert ^{2} + vert Dtilde{psi} vert ^{2}bigr),dx le delta^{frac{gamma_{1}}{gamma_{2}}}.

The following lemma can be proved by means of a straightforward computation.

Using (2.2), (2.6) and the summation by parts formula, a straightforward computation shows that (2.8).

A straightforward computation shows that.

Set a straightforward computation yields (4.9).

A straightforward computation shows that (3.58).

A straightforward computation of energy velocity is proposed.