Annual rainfall, diminishing to about 20 to 30 in.
Closely related to the law of diminishing returns is the Theory of Rent.
This system, by diminishing the freeman's mastery over himself and his power to determine his occupation, reduced the interval between him and the slave; and the latter on the one hand, the free domestic servant and workshop labourer on the other, both passed insensibly into the common condition of serfdom.
The logarithmic formulae for these concentration cells indicate that theoretically their electromotive force can be increased to any extent by diminishing without limit the concentration of the more dilute solution, log c i /c 2 then becoming very great.
The divaricators proper are stated by Hancock to arise from the ventral valve, one on each side, a little in advance of and close to the adductors, and after rapidly diminishing in size become attached to the cardinal process, a space or prominence between the sockets in the dorsal valve.
The uneasiness caused by the excessive dependence of Great Britain upon the United States for cotton, coupled with the Recent belief that shortages of supply are more frequent than R they ought to be, and the fear that diminishing returns attempts to open may operate in America, occasioned the formation in England of the British Cotton Growing Association on.
Possibly the present generation of English industrial history will furnish many illustrations of the law of diminishing returns.
It flowed continuously, though in gradually diminishing quantity, for fifteen months; afterwards the flow became intermittent.
Thus, diminishing the concentration of the cadmium iodine solution from normal to one-twentieth normal changes the transport number from I 12 to o 64.
One advantage we have obtained is that, if we now write ao =o, and substitute a 8 _ 1 for a,, when s>o, we obtain d d aO da l +al da 2 +a2 da ï¿½....+an_2dan_1 which is the form of SZ for a binary (n- Henceby merely diminishing each suffix in a seminvariant by unity, we obtain another seminvariant of the same degree, and of weight w-8, appertaining to the (n-I) ic. Also, if we increase each suffix in a seminvariant, we obtain terms, free from a 0, of some seminvariant of degree 8 and weight w+8.
From the invariant a2 -2a 1 a 3 -2aoa4 of the quartic the diminishing process yields ai-2a 0 a 21 the leading coefficient of the Hessian of the cubic, and the increasing process leads to a3 -2a 2 a 4 +2a i a 5 which only requires the additional term-2aoa 6 to become a seminvariant of the sextic. A more important advantage, springing from the new form of S2, arises from the fact that if x"-aix n- +a2x n-2.
Observe that, if we subject any symmetric function the diminishing process, it becomes ao 1 - P2 (p2p3...)ï¿½ Next consider the solutions of 0=o o which are of degree 0 and weight w.
' The most remarkable feature of the discussion since 1862 is that the successive examinations of the subject have led to a continually diminishing value, so that at the present time it seems possible that the actual parallax of the sun is almost as near to the old value of Encke as to that which first replaced it.
9) from F to D, while at the same time the commutator K is rapidly worked, a series of alternating currents of gradually diminishing strength being thus caused to pass through the magnetizing coil.
To continue the process, the key K is turned over to the right-hand side, and then, while S is open, is turned back, thereby not only reversing the direction of the current, but diminishing its strength by an amount depending upon the previous adjustment of R2.
Merely has the effect of diminishing the maximum elongation and hastening the contraction; with the two greatest loads used in the experiment there was indeed no preliminary extension at all.'
Some experiments were next undertaken with the view of ascertaining how far magnetic changes of length in iron were dependent upon the hardness of the metal, and the unexpected result was arrived at that softening produces the same effect as tensile stress; it depresses the elongation curve, diminishing the maximum extension, and reducing the " critical value " of the magnetizing force.
The influence of traction in diminishing the susceptibility of nickel was first noticed by Kelvin (W.
If, on the other hand, the point be well immersed in the geometrical shadow, the earlier zones are altogether missing, and, instead of a series of terms beginning with finite numerical magnitude and gradually diminishing to zero, we have now to deal with one of which the terms diminish to zero at both ends.
The money so spent, if judiciously used, insures the undertaking against loss by diminishing the mining risk, and is thus analogous to premiums paid to insure against fire or other sources of loss.
The defending side, in fact, came to be in a much more favourable position than was the attacking side in respect to diminishing the strain that is always experienced by fighting personnel when in close contact with an enemy even during periods of virtual inactivity.
The effects of friction and viscosity in diminishing the velocity of running water were noticed in the Principia of Sir Isaac Newton, who threw much light upon several branches of hydromechanics.
The number of trees in this grove has been gradually diminishing, and as no young trees or seedlings occur, the grove will probably become extinct in course of time.
Remains of a Roman thermal establishment exist near the principal spring, the so-called Lago della Regina (which is continually diminishing in size owing to the deposit left by the water), and dedicatory inscriptions in honour of the waters have been found.
It is a colourless, amorphous solid, which is almost insoluble in water, its solubility diminishing with increasing temperature; it is appreciably soluble in concentrated sulphuric acid.
The black rhinoceros (Rhinoceros (Diceros) bicornis) is the smaller of the two, and has a pointed prehensile upper lip. It ranges through the wooded and watered districts of Africa, from Abyssinia in the north to the Cape Colony, but its numbers are yearly diminishing, owing to the opening up of the country.
==Pharmacology, Toxicology and Therapeutics of Alcohol== Alcohol is of great medicinal value as a solvent, being used to form solutions of alkaloids, resins, volatile oils, iodoform, &c. In strength of about 10% and upwards it is an antiseptic. If applied to the skin it rapidly evaporates, thereby cooling the skin and diminishing the amount of sweat excreted.
The area DABbd under the return path (v diminishing) represents work done on the substance, or against the back-pressure, and is negative.
As a matter of fact, emigration has not succeeded in diminishing the population of Europe, which, on the contrary, doubled during the 19th century.
In the United States the rate of increase per decade was as follows: In England and Wales the rural population increased in the aggregate during the first half of the 19th century, but at a gradually diminishing rate; in the second half of the century the population declined with varying regularity, until the decennium 1891-1900, when there was an increase.
To the E., is the centre of oil fields, once very productive but now of diminishing importance.
Long, has a depth of 25 ft., diminishing to 12 ft.
The fresher enclosed seas include the Malay and the East Asiatic fringing seas with 30 to 34.5 per mille, the Gulf of St Lawrence with 30 to 31, the North Sea with 35 north of the Dogger Bank diminishing to 32 further south, and the Baltic, which freshens rapidly from between 25 to 31 in the Skagerrak to 7 or 8 eastward of Bornholm and to practically fresh water at the heads of the Gulfs of Bothnia and Finland.
The belt of equatorial minimum salinity corresponds with the excessively rainy belt of calms and of the equatorial countercurrent, the salinity diminishing towards the east.
At the face, diminishing to 1 a in.
By numerous guide blades, dividing it up into a series of rectangular tubes of diminishing section, attached to a horizontal axle by cast iron bosses and wrought iron arms. The tubes at their smallest part are connected to a cast iron ring, io ft.
He managed to keep his body fluids up by frequent gulps to replenish his rapidly diminishing energy.
Colsa, grown chiefly in the lower basin of the Seine (SeineInfrieure and Eure), is the most important of the oil-producing plants, all of which show a diminishing acreage.
The molar-like teeth slightly diminishing in size from the first to the fourth, with square crowns, each bearing four pyramidal cusps.
To 30 in., diminishing greatly away from the coast.
The automatic curb sender was originally designed by Lord Kelvin for the purpose of diminishing the effect of inductive re- Au tardation in long cables.
Downwards and meet in the centre of the diminishing cavity so as to render escape impossible.
The P0 valley and the valleys of Emilia and the Romagna are best adapted for rice, but the area is diminishing on account of the competition of foreign rice and of the impoverishment of the soil by too intense cultivation.
The liabilities of the fund (capitalized) amounted to 10,668,105, of which monastic pensions represented a rapidly diminishing sum of 2,564,930.
Meanwhile in England, which was ruled by Peter des Roches as justiciar, the discontent had been increasing rather than diminishing, and its volume became much larger owing to an event of May 1214.
Before full adjustment has been attained the river bed may be broken in places by waterfalls or interrupted by lakes; after adjustment the bed assumes a permanent outline, the slope diminishing more and more gradually, without a break in its symmetrical descent.
Live-stock are diminishing in numbers all round: in the case of horses, from 21 per 100 inhabitants in 1882 to II per loo inhabitants in 1904; of cattle, from 31 in 1851 to 23 in 1882 and 27 in 1904; sheep, from 56 to 46 and 41 in the years named respectively; and pigs, from 13 to 9 and 10 respectively.
The act of 1887 remained in force without substantial amendment until 1906, although with constantly diminishing prestige, a result largely due to adverse decisions concerning the powers of the Commission.
The figures for cereals are important, as they indicate that it is the farmers of England who are the chief sufferers through the diminishing prices of corn; and particularly is this true of East Anglia, where corn-growing is more largely pursued than in anyother part of the Table Vi.
If we go to Mill to discover what it is, we find that " it is not pretended that the law of diminishing return was operative from the beginning of society; and though some political economists may have believed it to come into operation earlier than it does, it begins quite early enough to support the conclusions they founded on it."
It is therefore extraordinarily difficult at present to know what happens, or rather what would happen if it were not prevented, when a country reaches " the stage of diminishing returns "; what precisely it is which comes into operation, for obviously the diminishing returns are the results, not the cause; or how commodities " obey " a law which is always " suspended."
Expressed both absolutely and as percentages of the price averaged from the 1st of October to the 31st of July, the range of movement, standard deviation, and mean weekly movement calculated between the times mentioned above (October 1st to July 31st), after diminishing significantly for some years after the later 'sixties, have risen appreciably on the whole of late years.
Owing to emigration, the population appears to be steadily diminishing, and is now only about 6000, or less than half what it was in 1857.
Lower incisors diminishing in size from the first to the third; the canine, which is in contact with the third incisor, large and conical, working against (and behind) the canine-like third upper incisor.
Too many causes operated in favour of their depreciation: the enormous issue, the uncertainty as to their value if the Revolution should fail, the relation they bore to both specie and commodities, which retained their value and refused to be exchanged for a money of constantly diminishing purchasing power.
It might be expected that there should be a decrease in the Greenland seal fisheries, caused by the European and American sealers catching larger quantities every year, especially along the coasts of Newfoundland and Labrador, and so actually diminishing the number of the animals in the Greenland seas.
The natural harbour, which, with a depth diminishing from 70 to 30 fathoms, strikes in from the northwest so as to cut the island into two fairly equal portions, with an isthmus not more than 14 m.
When we consider the costs of all the wrong decisions ever made—a calculation I don't even know how to approach—we will think of it as a diminishing problem receding into the past.
The sound of musketry at the foot of the hill, now diminishing, now increasing, seemed like someone's breathing.
Flowering and fruiting go on continually, although in diminishing degree, until the advent of frost, which kills the flowers and young bolls and so puts an end to the production of cotton for the season.
The first and third transformations (reckoned in order with increasing temperature of the transition point) are attended by an increase in volume, the second with a contraction; the solubility follows the same direction, increasing up to 82.8°, then diminishing up to 125.6°, and then increasing from this temperature upwards.