# Indices Sentence Examples

- A volume of elaborate
**indices**was edited by I. - Shadows were used as
**indices**of the sun's position, in combination with angular divisions. - That can be formed with positive integral
**indices**out of n letters x, y, z,.. - 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**. - The refractive
**indices**for different wave lengths must be known for each kind of glass made use of. - Hueffer, Cinque Ports (1900);
**Indices**of the Great White and Black Books of the Cinque Ports (1905). - The
**indices**of refraction are not high, the mean index being about I. - 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. **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. - 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. - 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. - 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. - 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. - The only completed lexicon (apart from the
**Indices**of Naudet, 1832, and Weise, 1838) is that of Pareus (2nd ed., 1634). - (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. - 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. - 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. - 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. - Bain's Calendars (Edinburgh, 1881-1888), are useful
**indices**, but not infrequently need to be checked by the manuscripts. - The only refractive
**indices**which had been measured were the optical refractive**indices**of a number of transparent substances. - 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
**indices**of refraction of quartz for yellow (D) light are co = I.5442 and e = I. - ., 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. - Fleischer (2 vols., Leipzig, 1846-1848;
**indices**ed. - Since the two circular streams have different speeds, Fresnel argued that it would be possible to separate them by oblique refraction, and though the divergence is small, since the difference of their refractive
**indices**in the case of quartz is only about o 00007, he succeeded by a suitable arrangement of alternately rightand left-handed prisms of quartz in resolving a plane-polarized stream into two distinct circularly polarized streams. A similar arrangement was used by Ernst v. - Lord Rayleigh has pointed out that all theories are defective in that they disregard the fact that one at least of the media is dispersive, and that it is probable that finite reflection would result at the interface of media of different dispersive powers, even in the case of waves for which the refractive
**indices**are absolutely the same. - 504), who has found the remarkable result that copper, gold, magnesium and silver have refractive
**indices**less than unity, and this has been completely confirmed by observations with metallic prisms of small refracting angle. - Theoretically the best construction for prisms of this class is the following: a rectangular block of Iceland spar, of length about four times the width and having its end and two of its side faces parallel to the optic axis, is cut in half by a plane parallel to the optic axis and making an angle of about 14° with the sides; the two halves are then reunited with a cement whose refractive index is between the ordinary and extraordinary
**indices**of the spar and as nearly as possible equal to the latter. - It is clear that direct transmission through the plate at a point where the thicknesses of the prisms are d 1 and d 2 will introduce a relative retardation of (µ,; -, u o) (d l - d2) between streams polarized in planes parallel and perpendicular to the edges of the prisms,, u o, and being the ordinary and the extraordinary refractive
**indices**; and it is hence possible by an adjustment of the thickness to reduce elliptically polarized to plane polarization at an assigned point marked off by two parallel lines. - The immersion liquids in common use are water, glycerine, cedar-wood oil, monobromnaphthalene, &c. Immersion systems in which the embedding liquid, coverslip, immersion-liquid and front lens have equal refractive
**indices**are called " homogeneous immersion systems." - 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. - An important distinction separates true mixed crystals and crystallized double salts, for in the latter the properties are not linear functions of the properties of the components; generally there is a contraction in /10.591 volume, while the re fractive
**indices**and other physical properties do not, in general, obey the additive law. - 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). - ., the sum of the
**indices**in each product being r. - 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. - 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. - 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. - 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. - 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. - 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. - 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). - (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. - 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. - This concept is extended to algebra: since a line, surface and solid are represented by linear, quadratic and cubic equations, and are of one, two and three dimensions; a biquadratic equation has its highest terms of four dimensions, and, in general, an equation in any number of variables which has the greatest sum of the
**indices**of any term equal to n is said to have n dimensions. - There are
**indices**to Demosthenes by J. - (vii.) The use of fractional
**indices**follows directly from this parallelism. - With these, or even with booms half the above length, actuating
**indices**arranged as shown in fig. - The
**indices**in 3 vols. - He constructed a map of as many as 576 of these lines, the principal of which he denoted by the letters of the alphabet from A to G; and by ascertaining their refractive
**indices**he determined that their relative positions are constant, whether in spectra produced by the direct rays of the sun, or by the reflected light of the moon and planets.