Sentence examples for more general situation from inspiring English sources

Later Krein [42] generalized the trace formula to a considerably more general situation when A is an arbitrary self-adjoint operator and B is a trace class perturbation of A. Let A be a self-adjoint operator on Hilbert space and let B be a perturbed self-adjoint operator with (A-Bin {varvec{S}}_1).

(ii) A more general situation is the following.

We can extend our fractional problem (3.13 - 3.16) to a more general situation as follows.

Considering the more general situation is the next step of our research.

The more general situation with (p>1) and (q>1) was studied by Wiegner [2, 3].

which confirms the statement - the more general situation of the full lattice being similar.

The present demonstration of the FDF framework in a generic configuration indicates that this can be used in more general situations of technological interest.

We will comment on more general situations in Section 6.

However, Theorem 2.1 covers much more general situations.

This property is fundamental when more general situations are considered.

Extensions to more general situations are mentioned in the last section.