On the theoretical side the question is open until we introduce some limitation upon the generality of the functions.
But there is one conception of perturbations of such generality and elegance that it forms the common base of all those methods of determining these deviations which have high scientific interest.
Napoleon in like case refused, at the risk of enforced resignation, but so did Moreau; the generality of lesser men have obeyed, but so did Suvarov.
As the generality of Frenchmen at that time were orthodox although not zealous Catholics, the Nonjurors carried with them a large part of the laity.
To this entire branch of knowledge, in short, he successfully imparted that character of generality and completeness towards which his labours invariably tended.
Determined by increasing generality as by increasing speciality.
The importance of this algebra arises from the fact that in terms of such complex numbers with this definition of multiplication the utmost generality of expression, to the exclusion of exceptional cases, can be obtained for theorems which occur in analogous forms, but complicated with exceptional cases, in the algebras of real numbers and of signed real numbers.
The functions of the priesthood are of this kind: - To exercise a systematic direction over education; to hold a consultative influence over all the important acts of actual life, public and private; to arbitrate in cases of practical conflict; to preach sermons recalling those principles of generality and universal harmony which our special activities dispose us to ignore; to order the due classification of society; to perform the various ceremonies appointed by the founder of the religion.
Both parties put themselves in the wrong, the province by refusing its quota to the federal war-sheet, the generality by dealing with individual towns instead of with the states of the province.
He means that a sophist like Protagoras will teach superficially anything as wisdom for money; and that even a dialectician like Plato will write a dialogue, such as the Republic, nominally about justice, but really about all things from the generality of the form of good, instead of from appropriate moral principles; but that a primary philosopher selects as a definite subject all things as such without interfering with the special sciences of different things each in its kind (Met.