The following is a tabulated list of the cases.
This scheme may be tabulated as follows: I.
These may be tabulated concisely as follows: I.
The formulae may be used for extending the accuracy of tables, in cases where, if v represents the quantity tabulated, hdv/dx or h 2 d 2 v /dx 2 can be conveniently expressed in terms of v and x to a greater degree of accuracy than it could be found from the table.
In tables of logarithms of numbers to base io the mantissa only is in general tabulated, as the characteristic of the logarithm of a number can always be written down at sight, the rule being that, if the number is greater than unity, the characteristic is less by unity than the number of digits in the integral portion of it, and that if the number is less than unity the characteristic is negative, and is greater by unity than the number of ciphers between the decimal point and the first significant figure.
Decimal or Briggian Antilogarithms. - In the ordinary tables of logarithms the natural numbers are all integers, while the logarithms tabulated are incommensurable.
Harnack has tabulated the results which our scanty data allow us to reach in his Expansion of Christianity.
For eight years he tabulated with painful accuracy the earliest and latest appearance of thirty-seven vegetables in the Washington market.
But even supposing that this method were accurate and completely unfolded, it is evident that it could only be made applicable and produce fruit when the phenomena of the universe have been very completely tabulated and arranged.
From the resulting elements of the orbit the positions of the body from day to day may be computed and tabulated in an ephemeris for the use of observers.
Before the stars can safely be employed as route-marks in the sky, their movements must accordingly be tabulated, and research into the method of such movements inevitably follows.
Are easily deduced from the tabulated values of dE/dt and d2E/dt2 respectively.
The column for all dead meat includes not only the items tabulated, but also [[Table Xv]].-Quantities of Dead Meat imported into the United Kingdom, 1891-1905-Thousands of Cwt.
The equivalent volumes and topic parameters are tabulated: From these figures it is obvious that the first three compounds form a morphotropic series; the equivalent volumes exhibit a regular progression; the values of x and t,t, corresponding to the a axes, are regularly increased, while the value of w, corresponding to the c axis, remains practically unchanged.
The salts tabulated are those of which the equivalent conductivity reaches a limiting value indicating that complete ionization is reached as dilution is increased.
For each of the metals tabulated in the first column all the effects hitherto observed have the same sign; there is no single instance in which some are positive and others negative.
Some further important establishments and institutions may be tabulated here :- Architecture.
The evidence tabulated in The New Testament in the Apostolic 6 To the details furnished in the present writer's Historical New Testament (2nd ed., 1901, pp. 6 346 35) may be added references to Volter's Paulus u.
Historical records were searched for references to past meteoric displays, and these were tabulated and compared.
The results for each province or large state are tabulated locally, by districts or linguistic divisions.
The results of this census were tabulated with care and skill, and a preliminary analysis gave the salient results and in some cases compared them with European figures.
The use of quadrature-formulae is important in actuarial work, where the fundamental tables are based on experience, and the formulae applying these tables involve the use of the tabulated values and their differences.
In this table (93) sin 20=Ca, where a is a function tabulated for the two arguments, V the initial velocity, and R/C the reduced range in yards.
Von Soden's analysis of numbers, contents and date may be tabulated as follows, but it must be remembered that it reckons many small fragments as separate MSS., especially in the earlier centuries.
The supplies available for European and American consumption have been carefully tabulated by the Lyons Chamber of Commerce, as shown by the table.
The succession of archaeological types revealed in them has been tabulated by Petrie in his Diospolis Parva; and the detailed publication of Reisners unusually careful researches is bringing much new light on the questions involved, amongst other things showing the exact point at which the prehistoric series merges into the 1st Dynasty, for, as might be surmised, in many cases the prehistoric cemeteries continued in use under the earliest dynasties.
We May Probably Take The Tabulated Values As Showing Correctly The Rate Of Variation Between 110° And 190° C., But The Values In Terms Of Any Particular Thermal Unit Must Remain Uncertain To At Least 0.5% Owing To The Uncertainties Of The Thermometry.
The function J,, (I) has been tabulated; its lower roots are given by Z/ir= .7655, 1.7571, 2~7546
De Lucy tabulated his results as under: - " It is easy, by the aid of this table, to follow the order, always decreasing, of the surfaces, in proportion as the winged animal increases in size and weight.
The arm-muscles have been studied in an absolutely exhaustive manner by Fiirbringer, who in his monumental work has tabulated and then scrutinized the chief characters of fourteen selected muscles.
(ii) If 4)(x) is not given explicitly, but is tabulated for the values..
The formulae can be adapted to the case in which cp(x) is tabulated for xl,.
A discrepancy between a calculated and tabulated result will serve to show the influence of a slight change a in the coefficient of reduction n, and the muzzle velocity V.
The function Fi (sin ~) was tabulated by A.
Since p is determined experimentally and tabulated as a function of v, the velocity is taken as the argument of the ballistic table; and taking Av =10, the average value of p in the interval is used to determine AT.
The capitals of these academies, together with the departments included in them, are tabulated below: