The form is infinitely finer in Matt.
Truth varies infinitely under circumstances whose relative weight cannot be accurately gauged.
Although the above useful formulae, (io) to (15), are true only for an infinitely small magnet, they may be practically applied whenever the distance r is considerable compared with the length of the magnet.
The Hungarian diet frantically opposed every Austrian alliance as endangering the national independence, but to any unprejudiced observer a union with the house of Habsburg, even with the contingent probability of a Habsburg king, was infinitely preferable to the condition into which Hungary, under native aristocratic misrule, was swiftly drifting.
The universe, then, is a living cosmos, an infinitely animated system, whose end is the perfect realization of the variously graduated forms. The unity which sunders itself into the multiplicity of things may be called the monas monadum, each thing being a monas or self-existent, living being, a universe in itself.
Garrick was surrounded by many players of eminence, and he had the art, as he was told by Mrs Clive, " of contradicting the proverb that one cannot make bricks without straw, by doing what is infinitely more difficult, making actors and actresses without genius."
But the years of his studious retirement were spent on a work of infinitely greater importance.
As a politician he ended his career with his submission to Henry, who found in Roger of Salisbury a financier not less able and infinitely more acceptable to the nation.
A combination of the Babylonian with the Persian religion could only be effected by the degradation of the Babylonian deities into half-divine, half-daemonic beings, infinitely remote from the supreme God of light and of heaven, or even into powers of darkness.
Even the characteristic dualism of Gnosticism has already proved to be in part of Iranian origin; and now it becomes clear how from that mingling of late Greek and Persian dualism the idea could arise that these seven halfdaemonic powers are the creators or rulers of this material world, which is separated infinitely from the light-world of the good God.
He would have plunged England into war with Spain in 1572, when the risks would have been infinitely greater than in 1588, and when the Huguenot influence over the French government, on which he relied for support, would probably have broken in his hands.
It Is Therefore Infinitely More Commodious To Determine The Commencement Of The Year By A Fixed Rule Of Intercalation; And Of The Various Methods Which Might Be Employed, No One, Perhaps Is On The Whole More Easy Of Application, Or Better Adapted For The Purpose Of Computation, Than The Gregorian Now In Use.
And 1 In a letter dated the 4th of April 1882, referring to the publication of his drama Mary Stuart, Swinburne wrote, to Edmund Clarence Stedman: "Mary Stuart has procured me two satisfactions which I prefer infinitely to six columns of adulation in The Times and any profit thence resulting.
If the distance between the disks could be made infinitely small each time, then the multiplier r would be 2, and the charge would be doubled each time.
Complete adaptation to an infinitely receding ideal is impossible, and relative adaptation depends on the distance between the actual and the ideal.
For the period preceding British rule the records have not been so well preserved, but there is ample evidence to show that famine was just as frequent in its incidence and infinitely more deadly in its effects under the native rulers of India.
Either amongst those Jews who looked to the coming of a Messiah or, Such a view on the part of men who knew Arabic infinitely better than the most accomplished European Arabist will ever do, may well startle us.
In Nubia, owing to the poverty of the country and its scanty population, the proportion of monuments surviving is infinitely greater than in Egypt.
Literary Records.In estimating the sources of information regarding pre-Christlan Egypt, the native sources, first opened to us by Champollion, are infinitely the most important.
It can be shown that, if the density of distribution of the stars through infinite space is nowhere less than a certain limit (which may be as small as we please), the total amount of light received from them (assuming that there is no absorption of light in space) would be infinitely great, so that the background of the sky would shine with a dazzling brilliancy.
We don't need our computers to be infinitely fast, just a whole lot faster than they are today.
At the same time that we are earnest to explore and learn all things, we require that all things be mysterious and unexplorable, that land and sea be infinitely wild, unsurveyed and unfathomed by us because unfathomable.
This seemed to satisfy the official, who was obviously embarrassed over the entire debacle and infinitely relieved that at least half their problem was solved without any accusatory newspaper headlines.
They skied together and to Dean it was a long and infinitely pleasant run.
This conception of matter, as infinitely divisible and continuous, was taught by Anaxagoras more than four centuries before the Christian era, and in the philosophy of Aristotle the same ideas are found.
She almost equalled her husband in knowledge, and infinitely excelled him in talent and in tact.
Clerk Maxwell supposed two compartments, A and B, to be filled with gas at the same temperature, and to be separated by an ideal, infinitely thin partition containing a number of exceedingly small trap-doors, each of which could be opened or closed without any expenditure of energy.
But in all moral qualities the brilliant adventurer of the r 5th was infinitely superior to the brilliant adventurer of the r9th century.
In fact a little consideration of the theory of probabilities will show it to be infinitely probable that such an object should really have some movement of rotation, no matter by what causes the nebula may have originated.
To the student of the original texts Lancelot is an infinitely less interesting hero than Gawain, Perceval or Tristan, each of whom possesses a well-marked personality, and is the centre of what we may call individual adventures.
Though he lacked the brilliant qualities of his rival Wallqvist, Nordin had the same alertness and penetration, and was infinitely more stable and disinterested.
It may be instructive to contrast this with the case of an infinitely narrow annular aperture, where the brightness is proportional to Jo 2 (z).
If we make the extreme suppositions of an infinitely small source and absolutely homogeneous light, there is no escape from the conclusion that the light in a definite direction is arbitrary, that is, dependent upon the chance distribution of apertures.
If we suppose the diameter of the lens to be given (2R), and its focal length f gradually to increase, the original differences of phase at the image of an infinitely distant luminous point diminish without limit.
This fact, together with the extraordinarily rare occurrence of such remains and meteoric particles in globigerina ooze, although there is no reason to suppose that at any one time they are unequally distributed over the ocean floor, can only be explained on the assumption that the rate of formation of the epilophic deposits through the accumulation of pelagic shells falling from the surface is rapid enough to bury the slowgathering material which remains uncovered on the spaces where the red clay is forming at an almost infinitely slower rate.
To the infinitely actual there is necessary the possible; that which determines involves somewhat in which its determinations can have existence.
But how can the infinitely active ego posit a limit to its own activity?
By monarchians of the former class Christ was held to be a mere man, miraculously conceived indeed, but constituted the Son of God simply by the infinitely high degree in which he had been filled with Divine wisdom and power.
Moreover, did it do so, the action upon the human system would be infinitely less harmful than similar doses of copper or of lead.
But let it be observed, first, that to reduce the huge and confused mass of pre-existing law into the compass of these two collections was an immense practical benefit to the empire; secondly, that, whereas the work which he undertook was accomplished in seven years, the infinitely more difficult task of codification might probably have been left unfinished at Tribonian's death, or even at Justinian's own, and been abandoned by his successor; thirdly, that in the extracts preserved in the Digest we have the opinions of the greatest legal luminaries given in their own admirably lucid, philosophical and concise language, while in the extracts of which the Codex is composed we find valuable historical evidence bearing on the administration and social condition of the later Pagan and earlier Christian empire; fourthly, that Justinian's age, that is to say, the intellect of the men whose services he commanded, was quite unequal to so vast an undertaking as the fusing upon scientific principles into one new organic whole of the entire law of the empire.
But this puts an infinitely worse face on the matter, and suggests, beside, that probably not even the other three succeed in saving their souls, but are perchance bankrupt in a worse sense than they who fail honestly.
By night, of course, the perplexity is infinitely greater.
A modern branch of mathematics having achieved the art of dealing with the infinitely small can now yield solutions in other more complex problems of motion which used to appear insoluble.
But even if--imagining a man quite exempt from all influences, examining only his momentary action in the present, unevoked by any cause--we were to admit so infinitely small a remainder of inevitability as equaled zero, we should even then not have arrived at the conception of complete freedom in man, for a being uninfluenced by the external world, standing outside of time and independent of cause, is no longer a man.
Abandoning the conception of cause, mathematics seeks law, that is, the property common to all unknown, infinitely small, elements.
Dean cursed himself for not wanting to talk to the redheaded deputy, who would have been infinitely preferable to this obnoxious jerk.
With an approximate date—or at least a year—and a first name, the chore would be infinitely easier than scouring decades for a nameless individual.
Thought and extension are peaceable attributes in this one substance; there are infinitely many other attributes, but these only are known to us.
These had an infinitely wider renown in their day, but modern criticism has restored the balance in his favour, and is even in danger of erring in the opposite direction.
Interment in the wall-recess or loculus, though infinitely the most common, was not the only mode employed in the catacombs.
The poles at the ends of an infinitely thin uniform magnet, or magnetic filament, would act as definite centres of force.
This is tantamount to an assumption that A is infinitely small.
The integrations may also be effected by means of polar coordinates, taking first the integration with respect to 4) so as to obtain the result for an infinitely thin annular aperture.
If the origin of light be treated as infinitely small, and be seen in focus, whether with the naked eye or with the aid of a telescope, the whole of the light in the absence of obstacles would be concentrated in the immediate neighbourhood of the focus.
On the other hand, infinitely thin films of silver which can be produced chemically on glass surfaces are absolutely opaque.
The goddess of art of Akishino-dera, Nara, attributed to the 8th century, is the most graceful and least conventional of female sculptures in Japan, but infinitely remote from the feminine conception of the Greeks.
He is living, active intelligence, the principle of motion and creation, realizing himself in the infinitely various forms of activity that constitute individual things.
The angels are infinitely numerous20.
We can still point to much in exact science that is absolutely his; and we can indicate infinitely more which is due to his inspiration.
It is often necessary to remind her that there are infinitely many things that the wisest people in the world cannot explain.
Only when we have admitted the conception of the infinitely small, and the resulting geometrical progression with a common ratio of one tenth, and have found the sum of this progression to infinity, do we reach a solution of the problem.
2s = 277-h/A f (14) e = Af /h (15) The bands are thus of the same width as those due to two infinitely narrow apertures coincident with the central lines of the retarded and unretarded streams, the subject of examination being itself a fine luminous line.
He tried to summon his assistance.
We don't need miniaturization to go to infinitely small, just really, really small.
Firmness such as this secured for him the support of all constitutional elements, and after three years premiership his position was infinitely stronger than at the outset.
According to common optics, where images are absolute, the diffraction pattern is supposed to be infinitely small, and two radiant points, however near together, form separated images.
A disturbance limited to an infinitely thin slice of the medium, is supposed to fall upon a parallel grating, which again may With the best thickness so that in this case w=0 w = (2 w w= 0 be regarded as formed of infinitely thin wires, or infinitely narrow lines traced upon glass.
Dubuat considered that if water were a perfect fluid, and the channels in which it flowed infinitely smooth, its motion would be continually accelerated, like that of bodies descending in an inclined plane.
Estimates of Pilate's attitude at this point have varied infinitely, from Tertullian's, that he was " already in conviction a Christian " - jam pro sua conscientia Christianus- to Bacon's " jesting Pilate," who would not stay for a reply.
Probably I should not consciously and deliberately forsake my particular calling to do the good which society demands of me, to save the universe from annihilation; and I believe that a like but infinitely greater steadfastness elsewhere is all that now preserves it.
Certainly it was true of him, in a far higher degree than of John Henry Newman, that the being of God and himself were to his mind two absolutely self-luminous truths - though both his God and his self were almost infinitely remote from Newman's.