Eminent Victorians by Lytton Strachey

By Lytton Strachey

Chosen by way of the fashionable Library as one of many a hundred top nonfiction books of all time

"Eminent Victorians" marked an epoch within the paintings of biography; it additionally helped to crack the previous myths of excessive Victorianism and to herald a brand new spirit wherein chauvinism, hypocrisy and the stiff higher lip have been debunked. In it, Strachey cleverly exposes the self-seeking objectives of Cardinal Manning and the manipulative, neurotic Florence Nightingale; and in his essays on Dr Arnold and normal Gordon, his quarries aren't purely his matters but additionally the public-school approach and the total constitution of nineteenth-century liberal values.

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Fefc). We distinguish two cases. If lim qn > 1 then there exists a d > 1 and n—*oo a sequence of integers n i < 112 < . . such that qni > d > 1, i = 1 , 2 , . . a sequence of integers ni < 112 < . . such that qn. > d > 1, % = 1,2,... 56), all nodes vkni are on the interval [—J>j] C (—1,1). , they will not converge there uniformly for a suitably modified function. Assume now that lim qn = 1 . 72) Lagrangt Interpolation 29 gn(x) is linear and continuous in each subinterval [vjfe+i,n> v*n] if m < A; < p.

Kir . ir 1 = — sin — sm — > , gn n 2n nqn m < A; < p, we have |g n (s + fc) - 0n(*)| < 2ng n ^, - 1 < S < X + /I<1. 74) According to the assumptions of our theorem, there exist cx > 0, c2 > 0 such that cms 6, *>1. w^t) = ts. 77), Conditions A, B l and Cl are satisfied. It follows that for a suitable / E LipS we have lim{Ln(/,F2,l)-/(l)}>0. D 4. 1. It is easy to see that for A n (T, x), with 0 < c < d, we have c< Urn" A ^ r > g )

Condition (B2). 14) hold true. Condition (B3). 14) hold true. Again, supposing Condition (B3), / G C*{a'b}(wm) can be proved; more­ over, if for certain {p n }~=i and {i? 80) can be replaced by n—*oo lim[T„(/,xy) — I7 n (/, xy)] = oo with an ft—*00 /ec;MK) H^ [Tn{f, x,) - Un{f, i,)} = oo with an / € C7;{a'6}(w„) for any fixed j G IN (cf. 6). 6). 83) Condition (C) can be replaced by Condition (Cl). Let ||(7 nj || < A;, ||flfny||{a,6} < c3 for n,y G IN and let Lagrange Interpolation 33 lim £n(xj) = oo for j G IN hold.

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