It means that a, b, c, d may be rational fractions, or surds, or imaginary quantities, or indeed equivalence is not established by means of the nature of the quantity denoted; the equivalence is assumed to be true, and then it is attempted to find the different interpretations which may be put on the symbol.
32.
*George Chrystal, " Introduction to Algebra : For the Use of Secondary Schools and Technical Colleges " is a nineteenth-century text, first edition 1889, in print ( ISBN 1402159072 ); a trinomial example with square roots is on p . 256, while a general theory of rationalising factors for surds is on pp . 189 & ndash; 199.
33.
Where J _ 0 ( \ cdot ) is the Bessel function of first kind and order zero, Y _ 0 ( \ cdot ) is the Bessel function of second kind and order zero, A _ n and B _ n are arbitrary constants, and \ alpha = R \ surd ( \ omega \ rho / \ mu ) is the dimensionless Womersley number.
34.
This term was calqued into Latin as, and from there borrowed into English as " mute " . " Mute " was sometimes used instead for voiceless consonants, whether stops or fricatives, a usage that was later replaced with " surd ", from Latin " " " deaf " or " silent ", a term still occasionally seen in the literature.
35.
:Yeah, except that instead of " the absolute value of the surd-conjugate of the golden ratio ", it's probably better to say " the reciprocial of the golden ratio " or " the golden ratio minus one "; and I think it would be clearer if you said " any odd multiple " instead of " every odd multiple " . & # x2013; b _ jonas 09 : 42, 14 July 2007 ( UTC)
36.
His books include " T . S . Eliot s Personal Wasteland : Exorcism of the Demons, T . S . Eliot : The Making of an American Poet, The American Quest for a Supreme Fiction : Whitman s Legacy in the Personal Epic, Leaves of Grass : America s Lyric-Epic of Self and Democracy, F . Scott Fitzgerald : His Art and His Technique, Theory of Fiction : Henry James, and Quests Surd and Absurd : Essays in American Literature ".
37.
In his review of this volume, Richard Howard summarized Taylor's poetry, " Eleanor Ross Taylor devised, in her startling first poems over thirty years ago, and practices still, for all the modesty of her address, a tough modernist poetics of fragmentation and erasure, the verse rarely indulging in recurrent pattern or recognizable figure, the lines usually short and sharp in their resonance, gists and surds of a discourse allusive to the songs and sayings of a largely southern community dispersed among Virginia, North Carolina, Tennessee, and Florida and readiest ( or at least, most eloquent ) to speak in the tongues of remembered or imagined Others ."
38.
On Blanshard's view, the Absolute is thus not merely consistent ( i . e ., noncontradictory ) but positively coherent, shot through with relations of necessity and indeed operating purely deterministically . ( Blanshard held the law of causality, properly understood, to be a logical law and believed that effects logically determine their causes as well as vice versa . ) Strictly speaking, he admitted, we cannot " prove " that there are no atomic facts, bare conjunctions, or sheer surds in nature, but we can take it as our working hypothesis that relations of necessity are always to be found; until and unless this hypothesis meets with absolute defeat, we are justified in adopting it at least provisionally.
