Sentence examples for corresponding validity from inspiring English sources

Solutions in an explicit form are derived for two limiting cases, and the corresponding validity conditions presented.

For instance, if we think that agents can reason about their own knowledge or that of others using a modal logic such as \(\mathsf{S4}\) or \(\mathsf{S5}_2\), then the corresponding validity and satisfiability problems become \ \textbf{PSPACE}\ -complete.

To test the validity of the models, we used the corresponding validators from SBML.org and BioPAX.org.

For the five subscales of the stress factors, the original and modified TSI factor mean scores and their corresponding concurrent validity yielded significant correlations p < .001, respectively.

Definition 4. A group of related data used for decision or deriving new data is a mutual consistent set R, and each R is related to a corresponding mutual validity internal R mvi.

Also, the original and modified TSI factor mean scores and their corresponding concurrent validity yielded significant correlations p < .001 for all the five subscales of the manifestation of stress, p < .001, respectively (Table 3).

Once an interpretation of the intensional operator □ has been decided on, the appropriate conditions on R can be determined to fix the corresponding notion of validity.

A corresponding concept of universal validity can be defined as follows: Let S0 be the atomic system with only propositional variables as atoms and with no inference rules.

Taking the fixed-base index as an example, an empirical case for Ningbo road freight index is analyzed, and the corresponding results prove the validity of the proposed models.

With a different modulation index and different symbol modulation order, the results of detection probability for CE-OFDM RadCom system confirm the validity of corresponding detection threshold of P fa  = 0.001 and 0 dB SNR in Fig. 11.

The model could predict the primary resonance frequency and the corresponding magnitude while the validity in predicting the responses were obtained at MSE of 2.13 and 1.83 kg and with R2 values in excess of 0.98 for the male and female subjects, respectively.