It was therefore necessary that the numerical inequalities should be again determined by an entirely different method.
But the detached and piecemeal way in which the revision had been carried out naturally caused certain inequalities in the execution of the work.
The mean motion of the moon round the earth is then invariable, the longitude containing no inequalities of longer period than that of the moon's node, 18.6 y.
On the one hand he may make the line follow the natural inequalities of the ground as nearly as may be, avoiding the elevations and depressions by curves; or on the other he may aim at making it as nearly straight and level as possible by taking it through the elevations in cuttings or tunnels and across the depressions on embankments or bridges.
Of these the most conspicuous was offered by the opposite inequalities of Jupiter and Saturn, which the emulous efforts of L.
His contemporary Domenico Guglielmini (1655-1710), who was inspector of the rivers and canals at Bologna, had ascribed this diminution of velocity in rivers to transverse motions arising from inequalities in their bottom.
They may briefly be summed up as a belief in one God whose most characteristic attribute is universal benevolence, in the moral government of the universe, and in a future state of man making up for the imperfections and repairing the inequalities of the present life.
More than a modicum of rusticity is needed as a protection to a man who attempts such colossal reforms. This necessity had its consequences in the disquieting inequalities of Wagner's early work, and the undeniable egotism that embittered his fiery nature throughout his life; while the cut-and-dried system of culture of later Wagnerian discipleship has revenged him in a specially sacerdotal type of tradition, which makes progress even in the study of his works impossible except through revolt.
While inequalities still exist around the world for women, the tide of history is flowing inexorably in favor of women's rights.
The theory of inequalities is closely connected with that of maxima and minima, and therefore seems to come properly under this head.