Exponents Sentence Examples

Or, lastly, we may leave the exponents h, k, j,1, untouched and consider the product i i i 2 .

If he had no sympathy with revolutionary disturbers of the peace, he had even less with the fatuous extravagances of the comte d'Artois and his reactionary entourage, and his influence was thrown into the scale of the moderate constitutional policy of which Richelieu and Decazes were the most conspicuous exponents.

It expressed itself at last in the monumental work of Don Quixote, which places Cervantes beside Rabelais, Ariosto and Shakespeare as one of the four supreme exponents of the Renaissance.

The consequence was that the two leading members of the cabinet, Alexander Hamilton and Thomas Jefferson, exponents for the most part of diametrically opposite political doctrines, soon occupied the position, to use the words of one of them, of "two game-cocks in a pit."

The most famous of the systematic exponents of evolutional utilitarianism is, of course, Herbert Spencer, in whose Data of Ethics (1819) the facts of morality are viewed in relation with his vast conception of the total process of cosmic evolution.

Incidentally, it will be noticed that this important Methodist revival had its origin and found its chief supporters and exponents in a restricted corner of South Wales, of which Carmarthen was the centre, in curious contrast with the literary movement in Elizabeth's reign, which was largely confined to the district round St Asaph.

The ranks of scientists include the cosmographer Pedro Nunes (Nonius), a famous mathematician, and the botanist Garcia da Orta, whose Colloquios dos simples e drogas was the first book to be printed in the East (1563), while the form of Aristotelian scholastic philosophy known as Philosophia conimbricensis had a succession of learned exponents.

As a delegate from Dorchester, his father's church, to the Synod of 1662, he opposed the Half-Way Covenant adopted by the Synod and defended by Richard Mather and by Jonathan Mitchell (1624-1668) of Cambridge; but soon afterwards he "surrendered a glad captive" to "the truth so victoriously cleared by Mr Mitchell," and like his father and his son became one of the chief exponents of the Half-Way Covenant.

They had, however, been the leading parliamentary exponents of Bond policy for a considerable time.

Lyapunov exponents for the same vowel shown as a function of embedding dimension.

Sharon is one of the worlds leading exponents of the policy of creating new facts.

The resulting set of distance decay exponents for Leicestershire varied considerably from those found for Kent.

To Napier seems to be due the first use of the decimal point in arithmetic. Decimal fractions were first introduced by Stevinus in his tract La Disme, published in 1585, but he used cumbrous exponents (numbers enclosed in circles) to distinguish the different denominations, primes, seconds, thirds, &c. Thus, for example, he would have written 123.456 as 123@4050603.

Among the best-known non-Jewish exponents of the Kabbalah were the Italian count Pico di Mirandola (1463-1494), the renowned Johann Reuchlin (1455-1522), Heinrich Cornelius Agrippa of Nettesheim (3487- '535), Theophrastus Paracelsus (1493-1541), and, later, the Englishman Robert Fludd (1574-1637).

This band is rightly hailed as one of the greatest and most popular exponents of the Southern Rock guitar band movement of the 1970s.

The Celts were great exponents of carved jewelry and their unique style has remained popular throughout the centuries.

With Descartes the use of exponents as now employed for denoting the powers of a quantity becomes systematic; and without some such step by which the homogeneity of successive powers is at once recognized, the binomial theorem could scarcely have been detected.

When algebra had advanced to the point where exponents were introduced, nothing would be more natural than that their utility as a means of performing multiplications and divisions should be remarked; but it is one of the surprises in the history of science that logarithms were invented as an arithmetical improvement years before their connexion with exponents was known.

It took its name from Elea, a Greek city of lower Italy, the home of its chief exponents, Parmenides and Zeno.

Although some of its foremost exponents were famous Talmudists, it was a protest against excessive intellectualism and Aristotelian scholasticism.

Hence in the above general form of covariant we may suppose the exponents h 1, h2, h3,...ki, k2, k3,...

It was reserved for Charles Darwin, in the year 1859, to place the whole theory of organic evolution on a new footing, and by his discovery of a mechanical cause actually existing and demonstrable by which organic evolution doctrine must be brought about, entirely to change the attitude in regard to it of even the most rigid exponents of the scientific method.

Both of the South German journals were previously exponents of a very much more democratic trend of opinion than that which came to characterize them under the new proprietorship. Ancillary to these acquisitions large interests were secured by Stinnes in paper-works in order to make his newspapers independent of the paper market.

Among the clearest and most logical exponents of this theory was Hobbes, who in his Leviathan expounded his notion of an agreement by which absolute power was irrevocably transferred to the ruler.

For instance, 237578 w was printed @ 5070 8 3D; and the fact that Stevinus meant those encircled numerals to denote mere exponents is evident from his employing the very same sign for powers of algebraic quantities, e.g.

Many of its most distinguished exponents are Flemings by birth, and their writings reflect the characteristic Flemish scenery; they have the sensuousness, the colour and the realism of Flemish art; and on the other hand the tendency to mysticism, to abstraction, is far removed from the lucidity and definiteness associated with French literature properly so-called.

They thus seemed to come forward in the character of exponents rather than critics of the Western belief in God, freedom and immortality.

The exponents of psychological atomism, on the other hand, with the association of ideas for their one principle of agglutination had come to mean by experience the mental phantasmagoria of the individual.

Finally, there is what may be termed psychological-voluntaryist logic. It is in the rapidity of development of logical investigations of the third and fourth types and the growing number of their exponents that the present shows most clearly the history of logic in the making.

Theosophic teachings on this subject are not, however, exclusively Oriental, for following their contention that they are the exponents of the universal and unchangeable "Wisdom Religion" of all the ages, theosophists have selected from various sources - Vedic, Buddhist, Greek and Cabalistic - certain passages for the purpose of exposition and illustration.

Furthermore, the bishops being in most cases the exponents of the imperial power, the struggle for freedom from the latter ended in a radical riddance from all temporal episcopal government as well.

Dante and Milton are still more faithful exponents of the religion and politics of their time.

Describe how Lyapunov exponents can be used to determine the fractal dimension of a strange attractor in a dissipative system.

The Girondists were, indeed, rather a group of individuals holding certain opinions and principles in common than an organized political party, and the name was at first somewhat loosely applied to them owing to the fact that the most brilliant exponents of their point of view were deputies from the Gironde.

But the false prophets were by no means mere common impostors; they were the accredited exponents of the common orthodoxy of their day, for the prophets who opposed Jeremiah took their stand on the ground of the prophetic traditions of Isaiah, whose doctrine of the inviolability of Yahweh's seat on Zion was the starting-point of their opposition to Jeremiah's predictions of captivity.

Also, although logarithms have been spoken of as to the base e, &c., it is to be noticed that neither Napier nor Briggs, nor any of their successors till long afterwards, had any idea of connecting logarithms with exponents.

Though the idea of preserving peace by general international regulation has had several exponents in the course of ages, no deliberate plan has ever yet been carried into effect.

Stevinus printed little circles round the exponents of the different powers of one-tenth.

The king was compelled to dismiss Johannes Schlayer (1792-1860) and his other ministers, and to call to power men with more liberal ideas, the exponents of the idea of a united Germany.

He extended the "law of continuity" as stated by Johannes Kepler; regarded the denominators of fractions as powers with negative exponents; and deduced from the quadrature of the parabola y=xm, where m is a positive integer, the area of the curves when m is negative or fractional.

The New Hampshire Patriot, founded here in 1808 (and for twenty years edited) by Isaac Hill (1788-1851), who was a member of the United States Senate in 1831-1836, and governor of New Hampshire in 1836-1839, became one of the leading exponents of Jacksonian Democracy in New England.

The British moralists who wrote with political prepossessions are interesting, not merely as contributors to speculation, but as exponents of spiritual tendencies which were expressed practically in the political agitations of their times.

Carried away by the Russians in his early youth, he settled in Rumania, learned Church music, and became one of its best exponents, married four times, had an adventurous life, but lived among the people for whom he wrote and composed his tunes.