Hueffer, Cinque Ports (1900); Indices of the Great White and Black Books of the Cinque Ports (1905).
The only completed lexicon (apart from the Indices of Naudet, 1832, and Weise, 1838) is that of Pareus (2nd ed., 1634).
A volume of elaborate indices was edited by I.
Shadows were used as indices of the sun's position, in combination with angular divisions.
But the point need not be discussed further here, since both percentage and absolute indices of unsteadiness have risen of late years.
The explanation of this change in the direction of indices of steadiness cannot be proved to consist in any peculiarity in the supplies of recent years.
A doubly linked pair of atoms is denoted by the sign A with the index corresponding to the side; if there are two pairs of double links, then indices corresponding to both sides are employed.
The indices of refraction are not high, the mean index being about I.
APn 1 2 3 ' the summation being for all permutations of the indices which result in different terms. The function is written (plp2p3ï¿½4n) for brevity, and repetitions of numbers in the bracket are indicated by exponents, so that (p1p1p2) is written (p1p 2).
(ii.) The law of indices (positive integral indices only) follows at once from the definition of a 2, a 3, a 4,..
This suggests that we should write; la as a l l3; and we find that the use of fractional indices in this way satisfies the laws of integral indices.
(iv.) When the terms of a multinoniial contain various powers of x, and we are specially concerned with x, the terms are usually arranged in descending (or ascending) order of the indices; terms which contain the same power being grouped so as to give a single coefficient.
That can be formed with positive integral indices out of n letters x, y, z,..
., the sum of the indices in each product being r.
Do not involve x, and the indices of the powers of x are all positive integers, is called a rational integral function of x of degree n.
Negative Indices and Logarithms. - (i.) Applying the general principles of ï¿½ï¿½ 47-49 to indices, we find that we can interpret Xm as being such that X m .Xm =X 0 =I; i.e.
Then a+a = as = a; hence numerical coefficients and indices are not required.
He possessed clear ideas of indices and the generation of powers, of the negative roots of equations and their geometrical interpretation, and was the first to use the term imaginary roots.
Hence, in order that a double line may be resolved whose components have indices and A ct--S i ., it is necessary that t should exceed the value given by the following equation: - t= X/S / 8.
Moreover, his association with glass manufacture led him to study the refractive indices of different kinds of glass; he further undertook abstruse researches on electrostatic capacity, the phenomena of the residual charge, and other problems arising out of Clerk Maxwell's electro-magnetic theory.
The refractive indices of all glasses at present available lie between 1.46 and 1 90, whereas transparent minerals are known having refractive indices lying considerably outside these limits; at least one of these, fluorite (calcium fluoride), is actually used by opticians in the construction of certain lenses, so that probably progress is to be looked for in a considerable widening of the limits of available optical materials; possibly such progress may lie in the direction of the artificial production of large mineral crystals.
54) also measured the refractive indices of various gases, using a prism containing the gas to be experimented on, and he found that the deviation by the prism agreed very closely with the theoretical values of sound in the gas and in air.
As an example of the application of this siren, suppose that the number of revolutions of the plate, as shown by the indices, amounts to 5400 in a minute, that is, to 90 per second, then the number of vibrations per second of the note heard amounts to 90n, or (if number of holes in each plate = 8) to 720.
- Editions of the Ethiopic Text: Laurence, Ascensio Isaiae vatis (1819); Dillmann, Ascensio Isaiae Aethiopice et Latine, cum prolegomenis, adnotationibus criticis et exegeticis, additis versionum Latinarum reliquiis edita (1877); Charles, Ascension of Isaiah, translated from the Ethiopic Version, which, together with the new Greek Fragment, the Latin Versions and the Latin translation of the Slavonic, is here published in full, edited with Introduction, Notes and Indices (1900); Flemming, in Hennecke's NTliche Apok.
This quantity may readily be expressed in terms of the refractive indices for the three colours, for if A is the angle of the prism (supposed small) bc=(/1c - I)A, bD =(/ AD - OA, F - I)A, where µc, A n, µ F are the respective indices of refraction.
It is more useful than (1), as the refractive indices may be measured with a prism of any convenient angle.
68, hanc ei gloriam concessere Antigonus et Xenocrates, qui de pictura scripsere), while Antigonus is named in the Indices of xxxiii.-xxxiv.
His indices auctorum are, in some cases, the authorities which he has actually consulted (though in this respect they are not exhaustive); in other cases, they represent the principal writers on the subject, whose names are borrowed second-hand for his immediate authorities.
With these, or even with booms half the above length, actuating indices arranged as shown in fig.
Bain's Calendars (Edinburgh, 1881-1888), are useful indices, but not infrequently need to be checked by the manuscripts.
The figures given are the partial dispersions for ordinary crown and ordinary extra dense flint glasses, styled in Messrs Schott's catalogue of optical glasses as o 60 and 0.102 respectively, having refractive indices of 1 5179 and 1.6489 for the D ray respectively, and (µ D -I)/(l F -µc) =60 2 and 33.8 respectively to indicate their dispersive powers (inverted), = v.
Irmisch (1789-1805), with elaborate indices, but the notes are very diffuse; critical editions by I.
The only refractive indices which had been measured were the optical refractive indices of a number of transparent substances.
Experimental methods were devised for the further exact measurements of the electromagnetic velocity and numerous determinations of the dielectric constants of various solids, liquids and gases, and comparisons of these with the corresponding optical refractive indices were conducted.
The radii, thicknesses, refractive indices and distances between the lenses, was solved by L.
(4) After eliminating the aberration on the axis, coma and astigmatism, the relation for the flatness of the field in the third order is expressed by the " Petzval equation," I 1 = o, where is the radius of a refracting surface, n and n' the refractive indices of the neighbouring media, and / the sign of summation for all refracting surfaces.
In optical systems composed of lenses, the position, magnitude and errors of the image depend upon the refractive indices of the glass employed (see Lens, and above, " Monochromatic Aberration ").
These constants are determined by the data of the system (radii, thicknesses, distances, indices, &c., of the lenses); therefore their dependence on the refractive index, and consequently on the colour, are calculable (the formulae are given in Czapski-Eppenstein, G'rundziige der Theorie der optischen Instrumente (1903, p. 166).
The refractive indices for different wave lengths must be known for each kind of glass made use of.
(b) Two thin lenses in contact: let 4) i and 4) 2 be the powers corresponding to the lenses of refractive indices n i and n 2 and radii r' 1, r" i, and r' 2, r" 2 respectively; let 4) denote the total power, and dc/), 2 the changes of 4), n l, and n 2 with the colour.
A detailed analysis of these scriptures has been published by the celebrated Hungarian scholar Csoma de Korbs, whose authoritative work has been republished in French with complete indices and very useful notes by M.
The files and indices of the English Historical Review, Historische Zeitschrift, Revue historique, or American Historical Review will alone reveal the strength and character of historical research in the later 19th century.
The indices of refraction of quartz for yellow (D) light are co = I.5442 and e = I.
Indices produces at least a dozen young at a birth.
This combination of circumstances has given the Graptoloidea a paramount stratigraphical importance as palaeontological indices of the detailed sequence and correlation of the Lower Palaeozoic rocks in general.
It appears that Newton made the mistake of supposing that all prisms would give a spectrum of exactly the same length; the objections of his opponents led him to measure carefully the lengths of spectra formed by prisms of different angles and of different refractive indices; and it seems strange that he was not led thereby to the discovery of the different dispersive powers of different refractive substances.
., the series of indices being the standard series; and we have also seen (§ 44) that multiplication of any two of these numbers corresponds to addition of their indices.
Hence we may insert in the power-series numbers with fractional indices, provided that the multiplication of these numbers follows the same law.
2, as base, and take as indices the successive decimal numbers to any particular number of places of decimals, we get a series of antilogarithms of the indices to this base.
Among De Morgan's miscellaneous writings may be mentioned his Explanation of the Gnomonic Projection of the Sphere, 1836, including a description of the maps of the stars, published by the Useful Know ledge Society; his Treatise on the Globes, Celestial and Terrestrial,1845, and his remarkable [[Book]] of Almanacks (2nd edition, 1871), which contains a series of thirty-five almanacs, so arranged with indices of reference, that the almanac for any year, whether in old style or new, from any epoch, ancient or modern, up to A.