Sentence examples for operator versions from inspiring English sources
The modal operator versions do not.
The possible world versions of weak and strong supervenience are weaker than the corresponding modal operator versions.
In this section, we present the operator versions of these reverse arithmetic-harmonic mean inequalities proved in Section 2.
In particular, we obtain operator versions of Theorem 1.1 in which the Hadamard product is replaced by the tensor product.
In this section, we use the scalar ratio type arithmetic-geometric mean inequality to get a series of operator versions.
Kim initially maintained that the modal operator versions are equivalent to the above possible world definitions of weak and strong supervenience respectively (see esp. 1987, 79 82).
The following theorem is a multiple operator version of Theorem 1.1 (see e.g., [1, page 5]).
The next result is an operator version of additive Grüss inequality.
The following result, which is an operator version of Theorem 2.5, may be stated.
The operator version of the Heron means is denoted by F_{alpha} A,B = 1-alpha) (Asharp B)+alpha( Anabla B) for (0leqalphaleq1).
In this paper, we employ iteration on operator version of the famous Young inequality and obtain more arithmetic-geometric mean inequalities and the reverse versions for positive operators.
