Various definitions of compactness may apply, depending on the level of generality. The difference seems to hang around the generality and definiteness of the statement. Thought experiments invoke particulars that are irrelevant to the generality of their conclusions. Now we justify our without loss of generality assumption. These assumptions cause no loss of generality. Several definitions of varying levels of generality can be given. Designing efficient PCFGs has to weigh factors of scalability and generality. The design goals of XML emphasize simplicity, generality, and usability across the Internet. Thus it is sufficient to only consider left actions without any loss of generality. The strengths of this model are its simplicity, generality, and quantifiability. The strengths of this model are simplicity, generality, and quantifiability. For greater accuracy but lower generality component testing is used. Without loss of generality, we use linear regression to illustrate prior lasso. They would doubtless be congenial with the generality of female minds. Quillen was unable to prove the existence of the localization sequence in full generality.