In 1828 the free people of colour in the colonies were placed on a footing of legal equality with their fellow-citizens.
He introduced the sign (=) for equality, and the terms binomial and residual.
The two expressions whose equality is stated by an equation or an identity are its members.
Sign of Equality.-The various meanings of the sign of equality (_) must be distinguished.
In neither case did the allegiance involve strict obedience to orders from the superior, and their loyalty was always in danger of being troubled by their love of independence and equality and their desire for loot.
Under the present constitution they are "fully emancipated from all disability on account of coverture," and are placed on an equality with their husbands in acquiring and disposing of property and in making contracts relative thereto.
The independent position of the burgesses, who thus assumed a position of equality by the side of the feudal class, is one of the peculiarities of the kingdom of Jerusalem.
The members of each group lived on terms of equality, the families forming a society of worship the rites of which were conducted by the head.
Plebeian handicrafts assert their right to be represented on an equality with learned professions and wealthy corporations.
The poets - especially the authors of the New Comedy - strongly inculcate humanity, and insist on the fundamental equality of the slave.
In politics he advocates absolute equality - a democracy pushed to anarchy.
Hitherto, in order to prove the equality of two expressions for the same function, it was necessary to transform the one into the other, i.e.
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.
Considered in this way, the relations between the coefficients of the powers of x in a series may sometimes be expressed by a formal equality involving the series as a whole.
Latterly certain Catholics have questioned this equality of the concordatory obligation, and have aroused keen discussion.
Other proposals were: the maintenance of the system of the joint army as established in 1867, but with the concession that all Hungarian recruits were to receive their education in Magyar; the maintenance till 1917 of the actual customs convention with Austria; a reform of the land laws, with a view to assisting the poorer proprietors; complete religious equality; universal and compulsory primary education.
Girard is inconsistent in his notation, sometimes following Vieta, sometimes Stevin; he introduced the new symbols ff for greater than and ï¿½ for less than; he follows Vieta in using the plus (+) for addition, he denotes subtraction by Recorde's symbol for equality (=), and he had no sign for equality but wrote the word out.
None of them possesses an overwhelming majority, but perfect equality is granted to all religious creeds legally recognized.
Kleinenberg), in which case there is more reason for favouring the view that would assign an equality between the prostomium and the (in that case) other segments of the body.
Further, Italians were to be admitted to these colonies, and as they were to be burgess colonies, the right of the Italians to equality with the Romans was thereby partially recognized.
The power of the Bosnian nobles, though shaken by their defeat, remained unbroken; and they resisted vigorously when their kapetanates were abolished in 1837; and again when a measure of equality before the law was conceded to the Christians in 1839.
We see indeed faint traces of distinction among the patricians themselves, which may lead us to guess that the equality of all patricians may have been won by struggles of unrecorded days, not unlike those which in recorded days brought about the equality of patrician and plebeian.
When this relief has been gained by a series of enactments, a second struggle follows, in which the plebeians win political equality with the patricians.
Since 1814 the latter have been eligible as magistrates, and in 1849 full equality was formally ratified.
The resort to the weighbridge should put both on an equality, and its use tends to increase.
In 1677 the fundamental laws of West New Jersey were published, and recognized in a most absolute form the principles of democratic equality and perfect freedom of conscience.
But this equality, which took no account of wealth or poverty, was felt to be unjust, and the assessment began to be made according to the resources of each family, "the strong bearing the weak, and the weak relieving the strong."
Napoleon intended it as a protest against the spirit of equality which pervaded revolutionary thought.
In the course of constructions for surfaces to reflect to one and the same point (1) all rays in whatever direction passing through another point, (2) a set of parallel rays, Anthemius assumes a property of an ellipse not found in Apollonius (the equality of the angles subtended at a.
When ministers and elders are associated in the membership of a church court their equality is admitted; no such idea as voting by orders is ever entertained.
It was not till 1874 that full religious equality was granted to the Jews of Switzerland.
In his Common Sense About Women (1881) and his Women and Men (1888) he advocated equality of opportunity and equality of rights for the two sexes.
(n- I)(r)xr+ï¿½ï¿½ï¿½}; the symbol " being used to indicate that the equality is only formal, not arithmetical.
P principles: the separation of the judicial and administrative functions, the independence of the judges and courts, the publicity of trials and oral procedure, the equality of all classes before the law.
The non-Mussulman subjects of the sultan had indeed early been reduced to such a condition of servitude that the idea of their being placed on a footing of equality with their Mussulman rulers seemed unthinkable.
It was not on legal technicalities, however, but on the broad principle of religious equality, that Campbell supported the abolition of church rates, in which he included the Edinburgh annuity-tax.
The schools which do not obtain equality with government schools are either some of those conducted by religious orders, or else those in which a sufficient standard is not reached.
But the conception of the equality of the king and his peers in the long run led to hereditary monarchy; for if the king held his kingdom as a fief, like other nobles, the laws of descent which applied to a fief applied to the kingdom, and those laws demanded heredity.
In Germany, for instance, there are several categories of counts: (1) the mediatized princely counts (gefiirstete Grafen), who are reckoned the equals in blood of the European sovereign houses, an equality symbolized by the "closed crown" surmounting their armorial bearings.
Sign of Equality.-The various meanings of the sign of equality (_) must be distinguished.
It must, of course, be remembered (ï¿½ 23) that this is a statement of arithmetical equality; we call the statement an " identity," but we do not mean that the expressions are the same, but that, whatever the numerical values of a, b and c may be, the expressions give the same numerical result.
He follows Vieta in assigning the vowels to the unknown quantities and the consonants to the knowns, but instead of using capitals, as with Vieta, he employed the small letters; equality he denoted by Recorde's symbol, and he introduced the signs > and < for greater than and less than.
Venice, however, in the 14th century took her place at last as an Italian power on an equality at least with the very greatest.
She preserved some of the Napoleonic laws and institutions; in 1817 she established the equality of women in heritage, and ordered the compilation of a civil code which was promulgated in January 1820.
To say, for instance, that X is equal to A -B, is the same thing as to say that X is a quantity such that X and B, when added, make up A; and the above five statements of necessary connexion between two statements of equality are in fact nothing more than definitions of the symbols -, m of, =,, and loga.
Janissaries and the suppression of the quasi-indepen dent power of the derebeys had removed the worst disturbing elements; the government had been centralized; a series of enactments had endeavoured to secure economy in the administration, to curb the abuses of official power, and ensure the impartiality of justice; and the sultan had even expressed his personal belief in the principle of the equality of all, Mussulman and non-Mussulman, before the law.
Of all his portraits of adventurous sailors, "Gentleman Chucks" in Peter Simple and "Equality Jack" in Mr Midshipman Easy are the most famous, but he created many other types which take rank among the characteristic figures in English fiction.
When the state constitution of 1776 was adopted the counties were so nearly equal in population that they were given equal representation in the General Assembly, but the equality in population disappeared in the general westward movement, and in 1790 the West began to urge a new division of the state into representative districts according to population and taxation.
Expressed Equations.-The simplest forms of arithmetical equation arise out of abbreviated solutions of particular problems. In accordance with ï¿½ 15, it is desirable that our statements should be statements of equality of quantities rather than of numbers; and it is convenient in the early stages to have a distinctive notation, e.g.