Sentence examples for be an arbitrary real from inspiring English sources

The value of a sample cannot be an arbitrary real or complex number because digital hardware cannot represent arbitrary real or complex numbers.

Let E be an arbitrary real normed space and (E^) be its dual space.

Let ((X, | cdot|)) be a normed space and let (k > 0) be an arbitrary real number.

Proof (a) Let 0 < q < 1 be an arbitrary real number.

Let 0be an arbitrary real number.

Let be an arbitrary real Hausdorff topological vector spaces, and a Banach space.

end{aligned} (2.1) When (n=0), (m=-omega^{2}<0) ((omega >0) is an arbitrary real constant), and (ane 0), system (2.1) satisfies the center manifold theorem [18].

where c is an arbitrary real constant.

and q is an arbitrary real number >1.

Assume that (varepsilon> 0) is an arbitrary real number.

where b is an arbitrary real constant and σ = ± 1.