Sentence examples for multiples of the backward from inspiring English sources

We prove that ℓ2 contains vectors which are hypercyclic simultaneously for all multiples of the backward shift operator by constants of absolute value greater than 1.

In a previous work, we proposed a MIMO relay scheme for a relay network with a single source and destination pair in which each of the multiple relay nodes performs QR decompositions of the backward and forward channel matrices in conjunction with phase control (QR-P-QR).

Of all the backward countries of North Africa, Libya is the most backward.

The relationship between depression, sleep, and physiologic correlates was assessed with multiple regression analyses using the backward selection method, controlling for age, duration of illness, and CP score.

After that, multiple linear regression analysis using the backward selection method was performed to estimate the effects of measures of obesity on cardiac structure alteration.

All variables were entered into the multiple logistic regression model by the backward stepwise method.

The multiple linear regression model using the backward method for two outcome variables.

A multiple linear regression was performed using the backward stepwise regression method.

Multiple logistic regression analysis was performed using the backward conditional method to identify predictors of sequelae.

For the construction of the score backward stepwise logistic regression analysis was used with multiple imputation of missing values.

This translation process consists of multiple forward and backward translations and cognitive debriefing interviews with native speakers of the target language.