For some little time previously he had been harassed by a suspicion that certain errors had crept into the computations, and accordingly he addressed himself to the task of revision.
In all the cases which have yet arisen in astronomy the extraneous forces are so small compared with the gravitation of the central body that the orbit is approximately an ellipse, and the preliminary computations, as well as all determinations in which a high degree of precision is not necessary, are made on the hypothesis of elliptic orbits.
The census of the 31st of December 1900 was strikingly defective; it was wholly discarded for the city of Rio de Janeiro, and had to be completed by office computations in the returns from several states.
The Romans, who succeeded the Greeks as the chief civilized power in Europe, failed to set store on their literary and scientific treasures; mathematics was all but neglected; and beyond a few improvements in arithmetical computations, there are no material advances to be recorded.
Where the deposit is uncertain and the element of risk is large, we must adopt a high rate of interest on investments of capital in our computations of value - in some cases as high as 10, 15 or even 20%.
It has now become obvious that the data afforded by the Hebrew writings should never have been regarded as sufficiently accurate for the purpose of exact historical computations: that, in short, no historian working along modern scientific lines could well have made the mistake of supposing that the genealogical lists of the Pentateuch afforded an adequate chronology of world-history.
In order to avoid troublesome computations, which it would be necessary to recommence for every year, and of which the results differ only by a few days, chronologers generally regard the 1st of July as the commencement of the Olympic year.
Porcius Cato places it in the first year of the seventh Olympiad, that is, in 3963 of the Julian period, and 751 B.C. (4) Verrius Flaccus places it in the fourth year of the sixth Olympiad, that is, in the year 3962 of the Julian period, and 752 B.C. (5) Terentius Varro places it in the third year of the sixth Olympiad, that is, in the year 3961 of the Julian period, and 753 B.C. A knowledge of these different computations isnecessary, in order to reconcile the Roman historians with one another, and even any one writer with himself.
Various computations were made at different times, from Biblical sources, as to the age of the world; and Des Vignoles, in the preface to his Chronology of Sacred History, asserts that he collected upwards of two hundred different calculations, the shortest of which reckons only 3483 years between the creation of the world and the commencement of the vulgar era and the longest 6984.
Now in some cases, perhaps, in the lengths of the reigns themselves, in other cases in the computations based upon them, errors have crept in, which have vitiated more or less the entire chronology of the period.
The results of computations by the first two methods yield estimates of the contribution of foreign stock to the native element of 1900 varying among themselves by only 1.8%.
Besides the solar and lunar cycles, there is a third of 15 years, called the cycle of indiction, frequently employed in the computations of chronologists.
These changes in elevation, if correct, are due to seismic disturbances, a cause that may be partially responsible for the varying computations of the heights of these well-known peaks.
Based on the computations made by the architect of the American excavations, E.
Reduction of Forces to a given Point, and of Couples to th AxIs of a given Piece.In computations respecting machines it i:
Both these computations, however, were made before the date of the Austrian exploring expeditions (1896-98).
The computations of Apollodorus have fixed his birth in 611, and his death shortly after 547 B.C. Tradition, probably correct in its general estimate, represents him as a successful student of astronomy and geography, and as one of the pioneers of exact science among the Greeks.
His commentary on Manilius is really a treatise on the astronomy of the ancients, and it forms an introduction to the De emendatione temporum, in which he examines by the light of modern and Copernican science the ancient system as applied to epochs, calendars and computations of time, showing upon what principles they were based.
Computations are made with it by means of balls of bone or ivory runp ing on slender bamboo rods, similar to the simpler board, fitted up with beads strung on wires, which is employed in teaching the rudiments of arithmetic in English schools.
According to his computations the eight omitting Panama, had produced during silver: Antioquia Cauca Tolima .
The inherent difficulties of this task were immensely enhanced by the fact that Euler was virtually blind, and had to carry all the elaborate computations it involved in his memory.
The computations required in such work are of extreme complexity, and the labour required is still further increased by the fact that cases are rather exceptional in which the results reached by one generation will not have to be revised and reconstructed by another; processes which may involve the repetition of the entire work.
The computations involved in the process, while simple in some cases, are extremely complex in others.
Speaking in a general way, we may say that computations pertaining to the orbital revolutions of double stars, as well as the bodies of our solar system, are to a greater or less extent of the classes we have described.
The computations are, as a general rule, simpler, and the algebraic expressions less complex, than when the computations of the longitude itself are calculated.
For computations, we developed processes that required us to perform many intermediate, error-prone steps to achieve an answer.