Sentence examples similar to on some dimensional from inspiring English sources

We show that any bounded, prime, non-self-adjoint linear operator with a rank-one imaginary part acting on some finite-dimensional (respectively separable infinite-dimensional Hilbert space) is unitarily equivalent to a finite (respectively semi-infinite) non-self-adjoint Jacobi matrix.

For simplicity, let η be a probability measure on ((mathbb{R}^{6},mathcal{B}(mathbb{R}^{6}))) (in general η can degenerate on some lower dimensional space).

Let U be a unitary operator defined on some infinite-dimensional complex Hilbert space H.

We prove the existence result in some general domain by minimizing on some infinite-dimensional Finsler manifold for some suitable perturbation of the critical nonlinearity when the dimension of domain is larger than critical one.

We test T-splines on some elementary two-dimensional and three-dimensional fluid and structural analysis problems and attain good results in all cases.

There are plenty of works on one-dimensional BSDE.

The protein profiles were similar on one-dimensional gels for all tested peanut genotypes.

Moody's downgrading was "based on a one-dimensional judgment," Goldman , Sachssaid in one report.

–Create a key for representing your area's landform features on a one-dimensional page.

They flourish and fail on a one-dimensional plane of avarice, contemptuous of common decency.

We suppose that the forward equation depends on some unknown finite-dimensional parameter.