Let there be given the mean velocity V = 1/2 (V,+Vi) of a body whose weight is w, and let itbe required to determine the fluctuation of velocity Vi in, and the extreme velocities v1, v,, which that body must have, in order alternately to store and restore an amount of energy E.
By this fluctuation the pond asserts its title to a shore, and thus the shore is shorn, and the trees cannot hold it by right of possession.
The sensation of sound is produced by rapid fluctuation in the pressure of the atmosphere on the tympanum of the Charac- ear.
Brady could've lost it in the river, but she should still pick up some electromagnetic fluctuation, if he was anywhere except the bottom of the river.
The main divisions are as follows: Vital Statistics.-The following table institutes a comparison between the birth-rates per thousand of the population in the United Kingdom and certain other countries, at intervals (so far as possible) of five years, adding the figures for other years in specific years when there was a marked fluctuation: The number of marriages (a) and the proportion of persons married per thousand of the population (b) are thus shown: Emigration.-The following table shows the number of passengers, distinguishing English and Welsh, Scottish and Irish, who left the United Kingdom for extra-European countries in 1895, 1900 and 1905, and the total for 1909, and in certain other years in which the numbers show marked fluctuations: In 1909 the total number to British dominions was 163,594 and the total number to other extra-European countries was 125,167.
The prices quoted are subject to constant fluctuation and represent purely trade prices for bulk, and it should be explained that the very great variations are due to different sizes, qualities and colours, and moreover are only first cost, before skins are dressed and prepared.
(a) That there was some fluctuation of tradition is evident in the case of Jehoiakim, with whose quiet end (2 Kings xxiv.
This is subject to considerable fluctuation, and varied in 1900 to 1908 from 2S.
These measures have served to give greater stability to the value of the circulating medium, and to prevent the ruinous losses caused by a constant fluctuation in value, but the rate established prevents the further appreciation of the currency.
This fluctuation finds a parallel in the age at which the Levites were to serve; for neither has any reasonable explanation been found on the traditional view.
The pitch of a musical sound depends on the number of cycles passed through by the fluctuations of the pressure per unit of time; the loudness depends on the amount or the amplitude of the fluctuation in each cycle; the quality depends on the form or the nature of the fluctuation in each cycle.
The points just noted apply also to the average fluctuation and the standard deviation, but it is probable in these cases that daily or even weekly quotations would be sufficient to yield the information sought for with sufficient exactness for purposes of comparison.
By some writers the word " mutation " is applied only to large and suddenly appearing variations which are found to be capable of hereditary transmission, whilst the term " fluctuation " is applied to small variations whether capable of transmission or not.
By others the word " fluctuation " is apparently applied only to those small " acquired " variations due to the direct action of changes in food, moisture and other features of the environment.
Were it not for the use of some such device the arc would be liable to constant fluctuation and to frequent extinction.
There has been no increase, and, indeed, no large fluctuation until quite recently in the output of New Zealand, which averaged £1,054,000 per annum from 1876 to 1898, but the production of the two years 190oand 1905 rose to £1,425,459 and £2,070,407 respectively.
This fluctuation, due partly to the different circles in which the biblical narratives took shape, and partly to definite reshaping of the traditions of the past, seriously complicates all attempts to combine the early history of Israel with the external evidence.
But this is not the original picture, and, since very contradictory representations of Solomon's reign can be clearly discerned, it is necessary in the first instance to view them in the light of an independent examination of the history of the preceding and following periods where, again, serious fluctuation of standpoint is found.
6), and this fluctuation is noteworthy by reason of the present confusion in the text of I Sam.
They then numbered 618,825, an increase of 6.41% over 1911, affording an example of the abnormal fluctuation to which the white pop. of S.
Rhe ratio of this fluctuation to the mean velocity, sometimes called the unsteadiness of the motion of the body, is (vivi)V =gE/Viw.
Few, on the contrary, as was pointed out by C. Babbage, are less subject to fluctuation than the duration of life amongst people taken in large aggregates.
The prices of the wines also are subject to great fluctuation, but in fair years will vary, according to class and quality, from;IO to 30 per hogshead for the better growths.
The production of coal in Great Britain, though marked by, fluctuation, has, on the whole, largely increased, and in 1901 the output was 42% greater than that of 1881.
There is an annual fluctuation in the level of the lake, varying from a minimum of 9 in.
When the fluctuation in the position of the pole was fully confirmed, its importance in astronomy and geodesy led the International Geodetic Association to establish a series of stations round the globe, as nearly as possible on the same parallel of latitude, for the purpose of observing the fluctuation with a greater degree of precision than could be attained by the miscellaneous observations before available.
In consequence, the change in the amplitude of the fluctuation through the seven-year period is not so well marked as before 190o.
At one rod from the shore its greatest fluctuation, when observed by means of a level on land directed toward a graduated staff on the ice, was three quarters of an inch, though the ice appeared firmly attached to the shore.
(b) Some fluctuation is obvious in the number, dates and extent of the deportations.