Indices sentence example

indices
  • A volume of elaborate indices was edited by I.
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  • Shadows were used as indices of the sun's position, in combination with angular divisions.
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  • The refractive indices for different wave lengths must be known for each kind of glass made use of.
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  • that can be formed with positive integral indices out of n letters x, y, z,..
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  • Hueffer, Cinque Ports (1900); Indices of the Great White and Black Books of the Cinque Ports (1905).
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  • The indices of refraction are not high, the mean index being about I.
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  • 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.
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  • indices produces at least a dozen young at a birth.
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  • But the point need not be discussed further here, since both percentage and absolute indices of unsteadiness have risen of late years.
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  • 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.
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  • 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.
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  • 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.
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  • 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.
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  • 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.
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  • The only completed lexicon (apart from the Indices of Naudet, 1832, and Weise, 1838) is that of Pareus (2nd ed., 1634).
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  • 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.
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  • 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.
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  • 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."
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  • (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.
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  • 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.
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  • 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.
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  • 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.
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  • 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.
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  • 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).
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  • There are indices to Demosthenes by J.
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  • With these, or even with booms half the above length, actuating indices arranged as shown in fig.
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  • All three wards were within the worst 10% in the country on health deprivation indices.
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  • 44 Law of Indices.
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  • What I thought was that you were prepared to use your program to calculate some difficulty indices that people might think up.
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  • (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.
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  • Then a+a = as = a; hence numerical coefficients and indices are not required.
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  • 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.
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  • 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.
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  • 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.
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  • It is more useful than (1), as the refractive indices may be measured with a prism of any convenient angle.
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  • 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.
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  • Bain's Calendars (Edinburgh, 1881-1888), are useful indices, but not infrequently need to be checked by the manuscripts.
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  • The only refractive indices which had been measured were the optical refractive indices of a number of transparent substances.
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  • 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.
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  • The indices of refraction of quartz for yellow (D) light are co = I.5442 and e = I.
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  • ., 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.
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  • Negative Indices and Logarithms. - (i.) Applying the general principles of �� 47-49 to indices, we find that we can interpret Xm as being such that X m .Xm =X 0 =I; i.e.
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  • 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.
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  • Irmisch (1789-1805), with elaborate indices, but the notes are very diffuse; critical editions by I.
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  • 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.
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  • the radii, thicknesses, refractive indices and distances between the lenses, was solved by L.
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  • 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.
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  • Hence we may insert in the power-series numbers with fractional indices, provided that the multiplication of these numbers follows the same law.
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  • 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.
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  • 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.
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  • Fleischer (2 vols., Leipzig, 1846-1848; indices ed.
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  • 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.
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  • 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.
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  • 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.
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  • 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.
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  • 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.
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  • (vii.) The use of fractional indices follows directly from this parallelism.
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  • ., the sum of the indices in each product being r.
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  • 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.
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  • The indices in 3 vols.
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  • aPn 1 2 3 ' the summation being for all permutations of the indices which result in different terms. The function is written (plp2p3�4n) for brevity, and repetitions of numbers in the bracket are indicated by exponents, so that (p1p1p2) is written (p1p 2).
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  • (ii.) The law of indices (positive integral indices only) follows at once from the definition of a 2, a 3, a 4,..
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  • (iii.) The multiplication and division of monomials is effected by means of the law of indices.
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  • In the preface to this work, which is dedicated to one Dionysius, Diophantus explains his notation, naming the square, cube and fourth powers, dynamis, cubus, dynamodinimus, and so on, according to the sum in the indices.
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  • Theophrastus is also named in his Indices.
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  • By the use of a revolving mirror similar to that used by Sir Charles Wheatstone for measuring the rapidity of electric currents, he was enabled in 1850 to demonstrate the greater velocity of light in air than in water, and to establish that the velocity of light in different media is inversely as the refractive indices of the media.
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  • In the same way, by dividing by powers of so we may get negative indices.
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  • His analysis was predicated on the assumption that there are no indices for purely mis purposes.
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  • Commonly these indices would use albumin and markers of immune status, such as total lymphocyte count, to screen patients.
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  • The indices are machined directly into the bezel without the use of bezel inserts, which can corrode or come loose at deep depths.
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  • As these indices represent discontinuous data, it would be preferable to use the negative binomial or the Poisson distribution.
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  • biotic indices are also calculated.
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  • As judged by bootstrap proportions, decay indices, and leaf stabilities, well-supported relationships of the Indian caecilians are recovered from the alignment.
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  • caries indices varied widely.
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  • citation indices is the cited half-life of the journal.
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  • Some aspects of the synoptic climatology of the British Isles as measured by simple indices.
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  • The indices are obtained from the Office for National Statistics MM17 ' Price index numbers for current cost accounting ' .
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  • deprivation indices.
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  • Then dissimilarity between two shots is defined based upon the dissimilarity indices for all image pairs in the two shots.
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  • geomagnetic indices aimed at meeting two requirements.
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  • indices of deprivation are high with associated poor health.
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  • indices of segregation, especially those of a nonlinear form.
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  • indices of two reflections.
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  • When using collateral texts to generate keyword indices the robustness of any index will depend on the contents of the source text.
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  • The database contains two indices which control access to it.
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  • A more C-like syntax for specifying vector indices is also available.
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  • indices compared to water.
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  • The corresponding refractive indices are the lengths of these axes.
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  • The biological sample taken at the test site provides an Observed Fauna from which biotic indices are also calculated.
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  • This paper describes the first of a family of new geomagnetic indices aimed at meeting two requirements.
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  • Sixteen objects (31 %) have a power-law continuum with spectral indices -2.3 - -0.9 that flatten to -1.1 - 0.0 at 20.
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  • Genotypes of SARS patients were also tested for association with clinical outcome measures as well as hematological and biochemical laboratory indices.
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  • Benchmark indices presented in the report are sourced from the compiler of the indices.
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  • Figure 11 October CET was well predicted by a model including all three PSC indices.
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  • This was observed throughout the study for preservation and fragmentation indices.
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  • Cited Half-Life Another factor derived from citation indices is the cited half-life of the journal.
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  • Dentists ' ability to differentiate between patients by caries indices varied widely.
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  • isolation indices which are at a moderate level for both ethnic groups.
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  • merit indices for thermal fatigue are derived.
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  • pixel indices ).
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  • predicted with impressive accuracy by a model including both the P & S indices.
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  • quintiles of PSC indices for each month January 2002 to September 2004.
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  • segregation indices for family share of.
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  • That, we propose, is why the Protestant isolation indices stayed so stable between 1911 and 1981, while the Catholic indices rose.
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  • The FTSE 100 has seriously underperformed other major indices since Labor came to power.
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  • aPn 1 2 3 ' the summation being for all permutations of the indices which result in different terms. The function is written (plp2p3�4n) for brevity, and repetitions of numbers in the bracket are indicated by exponents, so that (p1p1p2) is written (p1p 2).
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  • Negative Indices and Logarithms. - (i.) Applying the general principles of �� 47-49 to indices, we find that we can interpret Xm as being such that X m .Xm =X 0 =I; i.e.
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  • 68, hanc ei gloriam concessere Antigonus et Xenocrates, qui de pictura scripsere), while Antigonus is named in the Indices of xxxiii.-xxxiv.
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  • In the Indices to xxxiii.
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  • (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.
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  • 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 ").
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  • 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.
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  • Figure 4 Quintiles of PSC indices for each month January 2002 to September 2004.
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  • The united states segregation indices for family share of.
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  • Merit indices of material properties are deduced, and optimal materials are selected on the basis of these criteria.
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  • However, since the FTSE-100 is 90% of the UK stock market anyway, these other indices are small fry by comparison.
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  • The following 201Tl indices were calculated: early uptake ratio, delayed uptake ratio, washout rate and retention index.
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  • Red blood cell (RBC) indices are calculations derived from the complete blood count that aid in the diagnosis and classification of anemia.
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  • Measurements needed to calculate indices are the red blood cell count, hemoglobin, and hematocrit.
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  • Red blood cell indices help classify types of anemia, a decrease in the oxygen carrying capacity of the blood.
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  • The mechanisms by which anemia occurs will alter the RBC indices in a predictable manner.
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  • Therefore, the RBC indices permit the physician to narrow down the possible causes of an anemia.
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  • Cell indices are usually calculated from tests performed on an automated electronic cell counter.
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  • The RDW aids in differentiating anemias that have similar indices.
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  • RBC indices require 3-5 mL of blood collected by venipuncture.
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  • The indices are used to help in the differential diagnosis of anemia.
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  • Also called red cell absolute values or erythrocyte indices.
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  • Battaglia, M., et al. "Children's discrimination of expressions of emotions: relationship with indices of social anxiety and shyness."
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  • Each site has different information, but in general there are many free public records online, including vital records, census indices and military rolls.
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  • It also holds microfilm indices of marriage records for some counties for 1862 to 1900.
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