This inequality holds in all cases, but cannot in general be applied to an irreversible change, because Od4 is not a perfect differential, and cannot be evaluated without a knowledge of the path or process of transformation.

At this time the state had been brought to the brink of ruin by the growth of avarice and luxury; there was a glaring inequality in the distribution of land and wealth, and the number of full citizens had sunk to 700, of whom about roc practically monopolized the land.

There is practically no colour caste in Cuba; politically the negro is the white man's equal; socially there is very little ostensible inequality and almost perfect toleration.

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The third line gives the range of the regular diurnal inequality, the next four lines the amplitudes of the first four Fourier waves into which the regular diurnal inequality has been analysed.

An effect similar to drift is observable at tennis, golf, base-ball and cricket; but this effect is explainable by the inequality of pressure due to a vortex of air carried along by the rotating ball, and the deviation is in the opposite direction of the drift observed in artillery practice, so artillerists are still awaiting theory and crucial experiment.

Were this the case a similar inequality should be found in the observed times of the transits of Mercury.

In particular, the equality or inequality of values of two functions is more readily grasped by comparison of the lengths of the ordinates of the graphs than by inspection of the relative positions of their bounding lines.

The fourth method is through the parallactic inequality in the moon's motion.

Almost the first thing which strikes a reader is the singular inequality of this poet, and the attempts to explain this inequality, in reference to his own and other theories, leave the fact untouched.

He did not shrink from any of the consequences of thin theory, for he would give the same remuneration to the worst mason as to a Phidias; but he looks forward also to a period in human development when the present inequality in the talent and capacity of men would be reduced to an inappreciable minimum.