Sir George Airy detected in 1831 an inequality, periodic in 240 years, between Venus and the earth.
This gave the elliptic inequality known as the " equation of the centre," and no other was at that time obvious.
It will be noticed that the difference between the greatest and least hourly values is, in all but three winter months, actually larger than the mean value of the potential gradient for the day; it bears to the range of the regular diurnal inequality a ratio varying from 2.0 in May to 3.6 in November.
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.
In spite of any inequality between p and p', the definition will be good to this order of approximation, provided a and y vanish.
The formation (according to the traditional dating in 495 or 471 B.C.) of the tribus Clustumina (the only one of the earlier twenty-one tribes which bears a local name) is both a consequence of an extension of territory and of the establishment of the assembly of the plebs by tribes, for which an inequality of the total number of divisions was desirable (Mommsen, History of Rome, i.
Whilst daylight is the principal cause of the diurnal inequality, it is not the only cause, otherwise there would be as many auroras in the morning (forenoon) as in the evening (afternoon).
EVECTION (Latin for "carrying away"), in astronomy, the largest inequality produced by the action of the sun in the monthly revolution of the moon around the earth.
A new committee sat in 1863, and in its report again remarked in no measured terms upon the many and wide differences that still existed in the gaols of Great Britain as regards construction, diet, labour and general discipline, "leading to an inequality, uncertainty and inefficiency of punishment productive of the most prejudicial results."
In the Piedmont Province temperature conditions are naturally less stable, owing to the distance from the sea and to the greater inequality of surface topography.
One inks the type-forme and keeps a sharp look-out for any inequality of inking, and sees generally that the work is being turned out in a workmanlike manner.
We take it that the machine has already been regulated by means of the impression screws at the respective ends of the cylinder for all-round or average work, and that any inequality of impression can be remedied by adding or taking away from the sheets on the cylinder.
Now, supposing the forme to be dealt with consists of thirty-two pages to be printed on quad crown paper, measuring 40X30 in., on a suitable size of single cylinder machine of the Wharfedale class, it would be found, although both the machine and type were fairly new (that is, not much worn), that there was some amount of inequality in the impression given to the whole sheet.
Recent discussion, however, has gone rather to the point which Adam Smith neglected, that of inequality generally, not merely as between different sorts of income, but as between individuals and classes.
Apart from the merits or demerits of particular taxes or groups of taxes, and the questions as to inequality, injury to trade, and the like already discussed, the aggregate of taxation, or rather revenue, of a state may be considered in the most general way, having regard to the proportion appropriated by the state of the total income of the community, and the return made by the state therefor.
The equation of light, the constant of aberration, and the parallactic inequality of the moon; the value of the velocity of propagation of light enters in the reduction of the two first, but as this is better known than the sun's parallax, no disadvantage results.
The Babylonians knew of the inequality in the daily motion of the sun, but misplaced by to' the perigee of his orbit.
It was thus found by Ptolemy that an additional inequality existed in the motion, which is now known as the evection.
Although Tycho Brahe was an original discoverer of this inequality, through whom it became known, Joseph Bertrand of Paris claimed the discovery for Abu 'l-Wefa, an Arabian astronomer, and made it appear that the latter really detected inequalities in the moon's motion which we now know to have been the variation.
But he has not shown, on the part of the Arabian, any such exact description of the inequality as is necessary to make clear his claim to the discovery.
Laplace first showed that modern observations of the rpoon indicated that its mean motion was really less during the second half of the 18th century than during the first half, and hence inferred the existence of an inequality having a period of more than a century.
Sexual reproduction typical but with sometimes inequality of the fusing gametes (gametangia ?): Entomophthoraceae.
These " stops," as they are termed, are generally placed at regular intervals, or rather they should be left where any inequality of the current is observed.
Taxes in his view must come out of rent, or profit, or the wages of labour; and he observes that every tax which falls finally upon one only of the three sorts of revenue "is necessarily unequal in so far as it does not affect the other two," and in examining different taxes he disregards as a rule this sort of inequality, and confines his observations "to that inequality which is occasioned by a particular tax falling unequally upon that particular sort of private revenue which is affected byl it."
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.
A general idea both of their nature and of their cause will be gained by taking as a special case one celebrated in the history of the subject - the great inequality between Jupiter and Saturn.
Leverrier, in 1858, calculated a value of 8.95" for the solar parallax (equivalent to a distance of 91,000,000 m.) from the " parallactic inequality " of the moon; Professor Newcomb, using other forms of the gravitational method, derived in 1895 a parallax of 8.76".
This inequality, which reaches the magnitude of nearly I°, is known as the variation.
The alteration that takes place in the regular diurnal inequality throughout the year is best seen by analysing it into a Fourier series of the type c 1 sin (t+ a l) +c2 sin (2t+ a 2)+c 3 sin (3t+a3)+c4 sin (4t+a 4)+..
To c 1, vary much, then a diurnal inequality derived from a whole year, or from a season composed of several months, represents a mean curve arising from the superposition of a number of curves, which differ in shape and in the positions of their maxima and minima.