Sentence examples for an elementary calculation from inspiring English sources

As, an elementary calculation shows that (2.10).

The result follows by an elementary calculation.

Noticing and, an elementary calculation leads to (3.14).

When and, an elementary calculation gives for (4.38).

Since f̃ is decreasing, (F') is increasing, whence F is convex by an elementary calculation.

By an elementary calculation, we obtain (lim_{epsilonto0^ ((p/epsilon)^ )^{1/epsilon}=lim_{epsilonto0^ (frac{p}{p-epsilon } )^{1/epsilon}=e^{1/p}).

The proof is simple by elementary calculation.

If and, then elementary calculation yields (25).

Elementary calculation provides the following corollaries.

By means of elementary calculation, it is easy to deduce the following results.

It follows from the elementary calculation that ∥ f ε ∥ L p ( | x | α → ) is.