All that is required to make the results applicable to the real case is that the smallest portions of the substance of which we take any notice shall be sensibly of the same kind.
8 The hysteresis of the soft annealed iron turned out to be sensibly the same for equal values of the induction at - 186° as at 15°, the loss in ergs per c. cm.
The position of these bands determined by (23) may be very simply expressed when V is large, for then sensibly G = o, and 27rV 2 = 47r--n7r (24), n being an integer.
3 The twin ranges of the Astin-tagh are fairly equivalent in point of magnitude and regularity; but while the Lower Range, on the north, sensibly decreases in altitude towards the east,the Upper Range, on the south, maintains its general altitude in a remarkable way, and is gapped by steep, wild, deeply incised transverse glens directed towards the north, and generally fenced in by dark precipitous walls of rock.
The distinction between these two classes is not sharp; though when the properties of the resultant are sensibly the sum of those of the pure components, as is nearly the case for a complex gas such as air, it is usual to class it as a mixture.
Unit, the ratio of magnetization to magnetizing force remained sensibly constant at 6.4, wihch may therefore with great probability be assumed to represent the initial value of for the specimen in question.
7, and that it remained sensibly constant until H had reached a value of about five units.
The polemic on both sides was violent; but, as usual, the extreme views prevailed, and on the assembling of the diet of 1843 Kossuth was more popular than ever, while the influence of Szechenyi had sensibly declined.
For a certain distance outwards this remains sensibly unimpaired and then gradually diminishes to zero, as the secondary waves become discrepant in phase.
But, as we have seen, such an error of phase causes no sensible deterioration in the definition; so that from this point onwards the lens is useless, as only improving an image already sensibly as perfect as the aperture admits of.
A similar argument may be applied to find at what point an achromatic lens becomes sensibly superior to a single one.
Since the dimensions of T are supposed to be very small in com d parison with X, the factor dy (--) is sensibly constant; so that, if Z stand for the mean value of Z over the volume T, we may write TZ y d e T ?
In 1842 he had a principal hand in the preparation of the revised tariff, by which duties were abolished or sensibly diminished in the case of 1200 duty-paying articles.
Feudalism is practically extinct among them and with the decline of the Druses, and the great stake they have acquired in agriculture, they have laid aside much of their warlike habit together with their arms. Even their instinct of nationality is being sensibly impaired by their gradual assimilation to the Papal Church, whose agents exercise from Beirut an increasing influence on their ecclesiastical elections and church government.
The security of the kingdom was sensibly promoted by the erection of a cordon of fortresses on its north-eastern borders, and a blow was given to foreign interference when Casimir succeeded in gaining dominant influence over the independent Polish principality of Masovia, which had hitherto gravitated between Bohemia and the Teutonic Order.
The important part played by the residual air in the globe had also been deduced by Osborne Reynolds from observing that on turning off the light, the vanes came to rest very much sooner than the friction of the pivot alone would account for; in fact, the rapid subsidence is an illustration of Maxwell's great theoretical discovery that viscosity in a gas (as also diffusion both of heat and of the gas itself) is sensibly independent of the density.
The light of Algol remains constant during close upon 56 hours; then declines in 62 hours (approximately) to nearly one-fourth its normal amount, and is restored by sensibly the same gradations.
And in pursuing this thought he found that those consonances which beat faster than six times in a second are the very same that musicians treat as concords; and that others which beat slower are the discords; and he adds that when a consonance is a discord at a low pitch and a concord at a high one, it beats sensibly at the former pitch but not at the latter."
It is found in practice that the stresses on the several members do not differ sensibly whether these members are pinned together with a single pin or more rigidly jointed by several bolts or rivets.
By the same law, besides other less important provisions, the amount of the bank's tax-free issue of notes was raised from 400 to 600 millions of kronen, and the conditions formerly attached to the issue of 10 and 20 kronen notes were sensibly relaxed, A 4% bank-rate had been uninterruptedly in force from May 8 1908 to Oct.
This raises the further question as to whether the transmission of gravitation can be definitely recognized among the properties of an ultimate medium; if so, we know that it must be associated with some feature, perhaps very deep-seated, or on the other hand perhaps depending simply on incompressibility, which is not sensibly implicated in the electric and optical activities.
We might thus examine a structure formed of an aggregation of very thin vortex rings, which would move across the fluid without sensibly disturbing it; on the other hand, if formed of stronger vortices, it may transport the portion of the fluid that is within, or adjacent to, its own structure along with it as if it were a solid mass, and therefore also push aside the surrounding fluid as it passes.
A time to time in order to secure more revenue, but the arrangement and the general rate of the duties not being sensibly modified.
But since the death of Witowt (1430) the military efficiency of Lithuania had sensibly declined; single-handed she was no longer a match for her ancient rival.
Johnston, than whom there was no better soldier in the Confederate service when a careful defence was required, disposed of sensibly inferior forces, and it was to be expected that the 18th-century methods of making war by manoeuvring and by combats, not battles, would receive a modern illustration in Georgia.
In The Course Of A Few Centuries, However, The Equinox Sensibly Retrograded Towards The Beginning Of The Year.
The Scottish School never realized that every sensation of the five senses is a perception of a sensible object in the bodily organism; and that touch is a perception, not only of single sensible pressure, but also of double sensible pressure, a perception of our bodily members sensibly pressing and pressed by one another, from which, on the recurrence of a single sensible pressure, we infer the pressure of an external thing for the first time.
Under Eugenius III., a Cistercian monk who was scarcely equal to his task, the papal absolutism grew sensibly weaker, and if we may credit the testimony of the usually wellinformed German chronicler, Otto of Freising, there arose in the college of cardinals a kind of fermentation which was exceedingly disquieting for the personal power of the leader of the Church.
Now, whether a real, though undetected, change occurs is a question to be determined from case to case; it is certain, however, that a substance like aragonite (a mineral form of calcium carbonate) has sensibly persisted in geological periods, though the polymorphous calcite is the more stable form.
Rudolph resented this indignity very greatly, and until his death in January 1612 the relations between the brothers were very strained, but this mainly concerns the history of Hungary and of Bohemia, which were sensibly affected by the fraternal discord.
The kings of the East leant more than ever upon Greek mercenaries, whose superiority to barbarian levies was sensibly brought home to them by the expedition of Cyrus.
For if we have an assemblage of particles whose mutual distances are small compared with the dimensions of the earth, the forces of gravity on them constitute a system of sensibly parallel forces, sensibly proportional to the respective masses.
The ordinate of the dotted curve which contains its "centre of gravity" has, of course, for its abscissa the "mean" number of glands; the maximum ordinate of the curve is, however, at 2.98, or sensibly at 3 glands, showing what Pearson has called the "modal" number of glands, or the number occurring most frequently.