When a homogeneous polynomial is transformed by general linear substitutions as hereafter explained, and is then expressed in the original form with new coefficients affecting the new variables, certain functions of the new coefficients and variables are numerical multiples of the same functions of the original coefficients and variables.
The throne, and promptly concluded (2nd of May 1889) with him on behalf of Italy a friendly treaty, to be known hereafter as the famous Uccialli treaty.
Meanwhile, in the Farther East so rapid has been the progress of geographical research since the first beginnings of investigation into the route connexion between Burma and China in 1874 (when the brave Augustus Margary lost his life), that a gradually increasing tide of exploration, setting from east to west and back again, has culminated in a flood of inquiring experts intent on economic and commercial development in China, essaying to unlock those doors to trade which are hereafter to be propped open for the benefit of humanity.
The rest contrived to escape for the time, but only to be taken, as will hereafter be seen, by some other craft than the Pequod.
The parish is, speaking generally, the smallest area, though, as will hereafter be seen, part of a parish may be a separate area for certain purposes; and there may be united districts or parishes for certain purposes.
The manner in which such by-laws are made and confirmed will be hereafter noticed.
And though of all men the moody captain of the Pequod was the least given to that sort of shallowest assumption; and though the only homage he ever exacted, was implicit, instantaneous obedience; though he required no man to remove the shoes from his feet ere stepping upon the quarter-deck; and though there were times when, owing to peculiar circumstances connected with events hereafter to be detailed, he addressed them in unusual terms, whether of condescension or IN TERROREM, or otherwise; yet even Captain Ahab was by no means unobservant of the paramount forms and usages of the sea.
For the sections of masonry dams actually used in practice, if designed on the condition that the centre of all vertical pressures when the reservoir is full shall be, as hereafter provided, at two-thirds the width of the base from the inner toe, the least sectional area for a density of 2 also has a vertical water face.
It would even seem to be necessarily and naturally implied in Brahmanical belief in metempsychosis; whilst in the doctrine of Buddha, who admits no soul, the theory of the net result or fruit of a man's actions serving hereafter to form or condition the existence of some new individual who will have no conscious identity with himself, seems of a peculiarly artificial and mystic character.
The individual's happiness is indeed unattainable either here and now or hereafter and in the future, but he does not despair of ultimately releasing the Unconscious from its sufferings.