A moral transformation must precede any real advance.
If a is zero, we may regard as the first convergent, and precede the series by and °-.
(i) If we precede the series of convergents by i and - 1 6 -, then the numerator (or denominator) of each term of the series o i a, ab?-1 after the first two, is found by multiplying 1, o?
But this theory is repudiated by the best authorities; indeed its extreme precariousness at once becomes evident when it is remembered that, now at least, it is usual for religious fasts to precede rather than to follow sacrificial and funeral feasts, if observed at all in connexion with these.
This bias is reflected in the maxim that "correction should precede interpretation," which is no more than a half-truth.
A more careful study of the physical as well as the chemical properties of a soil must precede intelligent experimentation in rotation.
The proof that the area of a circle is proportional to the square of its diameter would therefore precede the proof that the perimeter is proportional to the diameter; the former property is the easier to grasp, since the conception of the length of a curved line as the limit of the sum of a number of straight lengths presents special difficulties.
Some authorities, however, consider the Antarian (Type III.) stars to be in a very early stage of development and to precede the helium stars in the order of evolution; in that case they are in the stage when the temperature is still rising.
Landing at Lyndantse (the modern Reval) in north Esthonia, Valdemar at once received the submission of the inhabitants, but three days later was treacherously attacked in his camp and only saved from utter destruction by his own personal valour and the descent from heaven, at the critical moment, of a red banner with a white cross on it, the Dannebrog (Danes' Cloth), of which we now hear for the first time, and which henceforth was to precede the Danish armies to victory till its capture by the Ditmarshers, three hundred years later.
He enters at length into the conditions of ecstasy and the yearnings that precede it.
No stalk .1 has been seen by Simroth or Fritz Muller, but in other respects the larva r 2 resembles the stages in the development of Megathyris p and Terebratulina which immediately precede fixation.
- (i.) The statement of problems in equational form should precede the solution of equations.
Thus, too, each science rests on the truths of the sciences that precede it, while it adds to them the truths by which it is itself constituted.
The 6th cavalry division was ordered to precede the right column and scout towards Rezonville.
The book closes (chap. xvi.) with exhortations to steadfastness in the last days, and to the coming of the "world-deceiver" or Antichrist, which will precede the coming of the Lord.
Rough approximations must always precede accurate measurements; and these returns, while often inaccurate, are better than nothing, and probably improve with each decade.
It seems to follow that the consideration of the area of a circle should precede the consideration of its perimeter, and that the consideration of the volume of a sphere should precede the consideration of its surface-area.
31) and the splendour of his reign present a vivid contrast to the troublous ages which precede and follow him, although the Biblical records prove, on closer inspection, to contain so many incongruous elements that it is very difficult to form a just estimate of his life and character.
De Stefani, Le antichita dei Bonaparte; precede per una introduzione (L.
Legendre a eu cela de commun avec la plupart des geometres qui l'ont precede, que ses travaux n'ont fini qu'avec sa vie.
On the other hand, the two limbless segments that precede the caudal furca are decidedly non-malacostracan.
This is the primitive shell-sac discovered by Lankester in 1871, and shown by him to precede the development of the permanent shell in a variety of molluscan types.
When there are more than three cheek-teeth, those which precede the last three have succeeded milk-teeth, and are premolars.
Perneel, Histoire du regne de Charles le Bon, precede d'un résumé de l'histoire de Flandres (Brussels, 1830).
In this last necropolis cremation seems slightly to precede inhumation in date.
Bertold retorted that redress of grievances must precede supply, and Maximilian and the princes were soon discussing the proposals put forward by the sagacious elector.
27 are necessarily the commandments which immediately precede in vv.
As conceptions are not always present in judgment, as they are only occasional conditions, and as they are unfitted to cause beliefs or judgments, and especially judgments of existence, and as judgments both precede conceptions in sense and continue after them in inference, it follows that conceptions are not the constituents of judgment, and judgment is not a combination of conceptions.
In the beginnings of consciousness instinctive reactions precede definite thoughts, and even in mature life thoughts often follow acts instead of preceding them.
Tion singing hymns; the Brandenburg Kirchenord- nung (1540) directed a cross-bearer to precede the procession and lighted candles to be carried, and this was prescribed also by the Waldeck Kirchenordnung of 1556.
X., but more probably this event (dated in the seventh month) should precede the great undertaking in Ezr.