* Method of computing the position and magnitudes of balance weights which must be added to a given system of arbitrarily chosen rotating masses in order to make the common axis of rotation a permanent axis.The method here briefly explained, is taken from a paper by W.
But by him these last were most arbitrarily severed, dissociated from their allies, and wrongly combined with other forms by no means nearly related to them (Brit.
Though he usually abridges, he occasionally amplifies arbitrarily the narratives of his authorities.
The English common law, with all the absurdities and rigours of that day, was arbitrarily extended to an alien system of society.
Not only the workmen and the large class of idlers attracted to Paris by the system, but rentiers and government officials, whose incomes were paid in assignats on a scale arbitrarily fixed by the government, saw themselves threatened with actual starvation.
Every lord who possessed serfs could levy the taille on them, and originally this was done arbitrarily (a volonte) both as to frequency and amount.
The assessors estimated the individual incomes arbitrarily, village quarrels and rivalries leading them to over-charge some and under-charge others, and complaints were numberless on this point.
In order to obtain the seminvari ants we would write down the (w; 0, n) terms each associated with a literal coefficient; if we now operate with 52 we obtain a linear function of (w - I; 8, n) products, for the vanishing of which the literal coefficients must satisfy (w-I; 0, n) linear equations; hence (w; 8, n)-(w-I; 0, n) of these coefficients may be assumed arbitrarily, and the number of linearly independent solutions of 52=o, of the given degree and weight, is precisely (w; 8, n) - (w - I; 0, n).
It is true that several of the Neoplatonists professed to accept all the teaching both of Plato and of Aristotle, whereas, in fact, they arbitrarily interpreted Aristotle so as to make him agree with Plato, and Plato so as to make his teachings consistent with the Oriental doctrines which they had adopted, in the same manner as the schoolmen attempted to reconcile Aristotle with the doctrines of the church.
In a uniform magnetic field of unit intensity formed in empty space the induction or magnetic flux across an area of I square centimetre normal to the direction of the field is arbitrarily taken as the unit of induction.
That state of mind was due to the fact that the groupings so recognized did not profess to be simply the result of scientific reasoning, but were necessarily regarded as the expressions of the " insight " of some more or less gifted persons into a plan or system which had been arbitrarily chosen by the Creator.
Having given her sanction to a measure, that it be not arbitrarily altered or modified by the minister.
Having been arbitrarily increased for the purpose of lengthening the entire period.
The middle section of the Appalachians, rather arbitrarily limited by the Hudson and the James rivers, may be described first because it contains the best representation of the three longitudinal belts of which the mountain system as a whole is The Middle composed.
The first was that he had arbitrarily imprisoned a Pathan chief named Khadar Khan, on suspicion of being concerned in the murder of Colonel Mackeson.
The name is comparatively modern, and is, no doubt, arbitrarily selected.
Similarly if we have F more unknowns than we have equations to determine them, we must fix arbitrarily F coordinates before we fix the state of the whole system.
Scholars of this opinion believe that this language, which has been arbitrarily called " Akkadian " in England and " Sumerian " on the European continent and in America, was primitively the speech of the pre-Semitic inhabitants of the Euphratean region who were conquered by the invading Semites.
Sumerian presents a significant list of internal phonetic variations which would not have been possible in an arbitrarily invented language.
With the development of observational astronomy the sidereal universe was arbitrarily divided into areas characterized by special assemblages of stars; these assemblages were named asterisms by Ptolemy, who termed the brightest stars "of the fi rst magnitude," and the progressively fainter Stars.
They were applied to other P Y PP uses less justifiable or defensible; they served to execute the will of the despotic master upon all who set themselves in opposition to his authority, or were decreed, more or less wisely but still arbitrarily, by a government in the best interests of society, organized for the general good.
In other countries the police system has been worked more arbitrarily; it has been used to check free speech, to interfere with the right of public meetings, and condemn the expression of opinion hostile to or critical of the ruling powers.
" Bischof" (the author rather arbitrarily classes Anglican with Lutheran bishops as not bishops in any proper sense at all); Phillimore's Ecclesiastical Law; the articles ORDER, HOLY; VESTMENTS; ECCLESIASTICAL JURISDICTION; EPISCOPACY.
With the laudable object of releasing Danish trade from the grinding yoke of the Hansa, and making Copenhagen the great emporium of the north, Christian had arbitrarily raised the Sound tolls and seized a number of Dutch ships which presumed to evade the tax.
Every curve thus arbitrarily defined has its own properties; and there was not any principle of classification.
The alimentary,or intestinal, canal varies greatly in relative length and capacity in different mammals, and also offers manifold peculiarities of form, being sometimes a simple cylindrical tube of nearly uniform calibre throughout, but more often subject to alterations of form and capacity in different portions of its course - the most characteristic and constant being the division into an upper and narrower and a lower and wider portion, called respectively the small and the large intestine; the former being arbitrarily divided into duodenum, jejunum and ileum, and the latter into colon and rectum.
Persecution can only transform a man into a hypocrite; belief is legitimately formed only by discernment of sufficient evidence; apart from evidence, a man has no right to control the understanding; he cannot determine arbitrarily what his neighbours must believe.
The Norwegian portion is thus insignificant; of the Russian only a little lies south of the Arctic circle, and the whole is less accessible and more sparsely populated than the Swedish, the southern boundary of which may be taken arbitrarily at about 64° N., though scattered families of Lapps occur much farther south, even in the Hardanger Fjeld in Norway.
But the twofold effect of civil warthe ruin of the farmers and the scarcity and high price of rural laborwas only reduced arbitrarily and, by fits and starts.
It is merely necessary to select some larger or smaller unit as the subject of observation--as criticism has every right to do, seeing that whatever unit history observes must always be arbitrarily selected.
The poor kid didn't even have a real birthday, only the arbitrarily chosen date of January 1st.
Though the first constitution provided for the assumption of a part of the Virginia debt, negotiations opened by Virginia in 1870 were fruitless, and in 1871 that state funded two-thirds of the debt and arbitrarily assigned the remainder to West Virginia.
Among the great variety of problems solved are problems leading to determinate equations of the first degree in one, two, three or four variables, to determinate quadratic equations, and to indeterminate equations of the first degree in one or more variables, which are, however, transformed into determinate equations by arbitrarily assuming a value for one of the required numbers, Diophantus being always satisfied with a rational, even if fractional, result and not requiring a solution in integers.
Aes, in its subsidiary sense of "polltax"), originally a class of Roman citizens not included in the thirty tribes of Servius Tullius, and subject to a poll-tax arbitrarily fixed by the censor.
We arbitrarily call the potential of the earth zero, since all potential difference is relative and there is no absolute potential any more than absolute level.
Table it is not to be supposed that a dilute solution like sea-water contains all the ingredients thus arbitrarily combined.
Points of honour in the Manchester business may seem to be arbitrarily selected, but they are an important part of the scheme.
But, if we fix arbitrarily the temperature the pressure of equilibrium can have one value only.
A great multiplicity of meanings is also attributed, apparently quite arbitrarily, to the same sign, sound-value or word.
Facts of this character taken by themselves would perhaps be sufficient to convince most philologists that in Sumerian we have an arbitrarily compounded cryptography just as Halevy believes, but these facts cannot be taken by themselves, as the evidences of the purely linguistic basis of Sumerian are stronger than these apparent proofs of its artificial character.
Thereupon President Kruger arbitrarily closed the drifts (fords) on the Vaal river, and thus prevented through waggon traffic, causing an enormous block of waggons on the banks of the Vaal.
He acts freely but not arbitrarily, and with the consciousness of being able to choose the opposite part.
The intellectual intuition of Schelling, as above consciousness, the pure being of Hegel, as an empty abstraction, unvindicated, illegitimately assumed, and arbitrarily developed, are equally useless as bases of metaphysics.
It should be explained that the designation Seistan Proper is not arbitrarily given.
342, arbitrarily writes "Montasir" for "Mostanir."
Hume, therefore, for his part, rejected entirely the notion of cause as being fictitious and delusive, and professed to account for the habit of regarding experience as necessarily connected by reference to arbitrarily formed custom of thinking.