linearlyadv.

1881 Nature 3 Feb. 331/2 A cell n times greater linearly each way.

1887 R. A. Roberts Integral Calculus i. 316 The arc of the general bicircular quartic can be determined linearly.

1891 W. A. Jamieson Dis. Skin (ed. 3) i. 6 The upper part is marked with prominences called papillæ arranged linearly.

1851 London, Edinb. & Dublin Philos. Mag. 1 295 If a quadratic function (U) be linearly converted into another (V), any minor determinant of any order of V must be a syzygetic function of all the minor determinants of U of the same order.

1859 G. Salmon Lessons Mod. Higher Algebra vi. 34 From the four equations thus formed we can eliminate linearly the four quantities, x³, x²y, xy², y³.

1885 A. R. Forsyth Treat. Differential Equations v. 152 We have now obtained the complete integral of Legendre's equation in all cases when n is a real constant, by deducing two integrals which are linearly independent..of one another.

1955 Bull. Atomic Scientists June 208/1 The extent of fall-out varies linearly with the fission yield of the bomb.

1963 Amer. Jrnl. Physics 31 336/2 A necessary and sufficient condition..is that θ and T be related linearly.

1969 Listener 12 June 831/1 Criminals in human society..increase more rapidly than linearly with the total number of victims available. That is to say, if we double the population we more than double the number of criminals.