Sentence examples for there exists a real diagonalization from inspiring English sources

Assume that there exists a real diagonalization matrix with real eigenvalues satisfying (2.13) and Denote (3.15).

Assume that there exists a real diagonalization matrix with real eigenvalues satisfying (2.14) and commuting with.

Assume that there exists a real diagonalization matrix with real eigenvalues satisfying (2.13) and (3.10) and commuting with.

If (Gsupset A), then there exists a real number (sigma>0) such that (Gsupset U sigma,A)).

for all and that there exists a real number with (3.2). for all.

Due to the compactness of and boundness of, there exists a real number such that (3.1).

Assume that there exists a real bounded diagonalization matrix such that for a.e.

Since is Lipschitz at, there exist a real number and a neighborhood of such that (3.30).

Then, since, there exists a real number such that (2.12).

Suppose that there exists a real such that (5.5).

Then, there exists a real by matrix such that (5.11).