Sentence examples for by uniqueness of a from inspiring English sources

By uniqueness of a solution, λ ˜ and λ ( x ) coincide.

If p o is found to be stationary to good approximation then, by uniqueness of the stationary distribution of an ergodic process, p o would be a good approximation to p M. We therefore suppose that at some time t the distribution is given by p o and compute, using Equation 1, the change in p o after one generation.

In view of (1.3), by uniqueness of Taylor (or Laurent) series expansion of a function, (1.20) is proved.

By uniqueness of, we get.

that is,, by uniqueness of.

(13) By uniqueness of the limit, we get (Tu=u).

end{aligned} By uniqueness of the asymptotic center, (Tu=u).

By uniqueness of the limit, we get (f omega)=omega).

Then, by uniqueness of the Fourier transform, we conclude that.

By uniqueness of limit, we have Tu = fu.

Since is closed, thus Now by uniqueness of limit we conclude that.