A desultory sequence of ideas, an excessive vagueness and indirectness of expression, a peculiar and abnormal latinity, a constant tendency to exaggeration, and an immoderate indulgence in learned and literary allusions - all these are obstacles lying in the way of a study of Propertius.
No fact contains in itself the ground of any other; the existence of the facts is due to God, their sequence and coexistence are also due to him.
Equally disastrous are those climatic or seasonal changes which involve temperatures in themselves not excessive but in wrong sequence; how many more useful plants could be grown in the open in the United Kingdom if the deceptively mild springs were not so often followed by frosts in May and June!
In this scheme birds are arranged according to what the author considered to be their natural method and sequence; but the result exhibits some unions as ill-assorted as can well be met with in the whole range of tentative arrangements of the class, together with some very unjustifiable divorces.
Thus a universal science of matter and motion was derived, by an unbroken sequence of deduction, from one radical principle; and analytical mechanics assumed the clear and complete form of logical perfection which it now wears.
The successive terms of the sequence in that case were formed by successive additions of terms of a series; the series is then also said to converge to the limit which is the limit of the sequence.
In most cases this is not possible; and we have first to consider the convergence of the sequence or of the series which it represents, and then to determine its limit by indirect methods.
Very briefly stated, his method consists in sending out a group of wave trains at certain irregular but assigned intervals of time to constitute the simplest signal equivalent to a dot in the Morse code, and a sequence of such trains, say three following one another, to constitute the dash on the Morse code.
Next, since there are three distinct sources, for (a) above, and for the work of Nehemiah and of Ezra, implicit reliance cannot be placed upon the present sequence of narratives.
In the East there is no sequence of liturgical colours, nor, indeed, any definite sense of liturgical colour at all; the vestments are usually white or red, and stiff with gold embroidery.
The geological sequence of events appears to have been the following: - After the deposition of the Eocene (or Oligocene) limestone - which reposes upon a floor of basalts and trachytes - basalts and basic tuffs were ejected, over which, during a period of very slow depression, orbitoidal limestones of Miocene age - which seem to make up the great mass of the island - were deposited; then elapsed a long period of rest, during which the atoll condition existed and the guano deposit was formed; from then down to the present time there has succeeded a series of sea-level subsidences, resulting in the formation of the terraces and the accummulation of the detritus now seen on the first inland cliff, the old submarine slope of the island.
In width, commonly styled "rinks" - a word which also designates each set of players - and these are numbered in sequence on a plate fixed in the bank at each end opposite the centre of the space.
Fibonacci's series is a sequence of numbers such that any term is the sum of the two preceding terms; also known as Lame series.
A succession of numbers corresponding to the numbers I, 2, 3, ...) which possesses the property that, by starting far enough in the sequence, the range of variation of all subsequent terms can be made as small as we please, but (x+h) n always lies between the two values determining the range.
This is expressed by saying that the sequence converges to (x+h)" as its limit; it may be stated concisely in any of the three ways, (x+h) n =lim(x"+n(1)xn-lh+....+ n(T)xn-rhr+ï¿½ï¿½.),(x+h)n =lim Sr, Sr. (x+h)n.
Another example of a sequence is afforded by the successive convergents to a continued fraction of the form ao+ I I, al+ a2+ï¿½ where ao,a 1, a 2, ...
The word " sequence," as defined in ï¿½ 58 (i.), includes progressions such as the arithmetical and geometrical progressions, and, generally, the succession of terms of a series.
The budding of this medusa has been worked out in detail by Chun (Hydrozoa, ), to whom the reader must be referred for the interesting laws of budding regulating the sequence and order of formation of the buds.
We have a sequence So, Si, S2, ...
Finally I noticed a very obvious error in the sequence and for an instant I concentrated my attention on the lesson and tried to think how I should have arranged the beads.